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(23,5)c/79 spaceship components

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: (23,5)c/79 spaceship components

Postby codeholic » September 17th, 2014, 1:14 am

I considered this approach. Can you build a rake on the double track interchangeably?
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Re: (23,5)c/79 spaceship components

Postby biggiemac » September 17th, 2014, 1:42 am

I'm not sure - I've just been trying to assemble various components to get a big-picture sense of stumbles this construction may encounter. My initial goal was to expand the 3/2 multiplier to make 4 tracks, and use the back-end reaction to eliminate the top and second lowest, but I was running into trouble rephasing to sync the glider streams to run another multiplier on the new track.

My worry is if we only get integer multiples of a single vector in 2d space, then there's a high chance that tracks we construct won't be able to interact in the ways we have set up rakes. We'd either have to pick a standard separation and stick with it for every component, or come up with another p79 reaction that consumes a glider and emits it in a different position to work in parallel with the H (the latter of which sounds extremely unlikely..)

It's like if the caterpillar reaction (C) had shifted the blinker up 11 and left 3. It would be a much more difficult task to set up a forward rake on a pair of tracks that contained a backward rake upstream, because the adjuster pis would move the track to an undesirable separation. The key would be to find a second reaction (D) that afforded some linear combination aC+ bD with x offset zero and y offset coprime to 34.


Edit: Actually, if there was a way to collide a glider (or glider pair) from a rake with the track and perturb it cleanly, that could serve as our second reaction. Which there probably is. I'm currently at a position where I cannot operate gencols (windows, activation energy) but want to see a collection of collisions between two SE gliders and a SW glider that cleanly emit a SW glider not on the original SW glider's track. There has to be a few.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My worries are settled: a simple 2-glider collision using one from the forward rake can also rephase the track. The combination of this and the H reaction should in theory be able to adjust the relative position of two tracks in any desired way.

x = 523, y = 725, rule = B3/S23
2$423bo$421b2o$377bobo42b2o$377b2o$378bo39$397bo$353bo43bobo$352bo44b
2o$352b3o40$372bobo$329bo42b2o$327b2o44bo$328b2o39$348bo$347bo$303bo
43b3o$303bobo$303b2o39$324bo$322b2o$278bobo42b2o$278b2o$279bo39$298bo$
254bo43bobo$253bo44b2o$253b3o27$434bo$434bobo$434b2o6$472bo$472bobo$
472b2o3$273bobo$230bo42b2o$228b2o44bo$229b2o27$409bobo$409b2o$410bo6$
447bobo$447b2o$448bo2$249bo$248bo$204bo43b3o$204bobo$204b2o26$385bo$
384bo$384b3o6$423bo$422bo$422b3o3$225bo$223b2o$179bobo42b2o$179b2o$
180bo26$361bo$359b2o$360b2o6$399bo$397b2o$398b2o3$199bo$155bo43bobo$
154bo44b2o$154b3o27$335bo$335bobo$335b2o6$373bo$373bobo$373b2o3$174bob
o$131bo42b2o$129b2o44bo$130b2o27$310bobo$310b2o$311bo6$348bobo$348b2o$
349bo2$150bo$105b2o42bo$104bo2bo41b3o$103b3o2$105bobo2$108bo$107b2o3$
99bo$98bo$98b3o17$286bo$285bo$285b3o6$324bo$323bo$323b3o2$116bo$117bo
5b2o$115b3o7bo$126bo$123bobo$124bo$126bobo$126bobo$127bo3$118bobo$75bo
42b2o$73b2o44bo$74b2o15$115b2o$114bobo$115bo146bo$260b2o$261b2o6$300bo
$298b2o$299b2o11$110b2o$94bo14bobo$93bo16bo$49bo43b3o$49bobo$49b2o17$
236bo$105b2o129bobo$104bobo129b2o$105bo5$274bo$274bobo$274b2o9$71b3o$
71bo2bo$75bo$72b3o2$24bobo73b2o$24b2o73bobo$25bo74bo6$62bobo$62b2o$63b
o9$211bobo$211b2o$212bo2$95b2o$94bobo$95bo2$249bobo$249b2o$250bo10$83b
obo$84b2o$84bo5$90b2o$89bobo$90bo2$38bo$37bo$37b3o2$91b3o$93bo$92bo$
106b2o$107b2o$106bo$121b2o$120bobo64bo$122bo63bo$136bo49b3o$136b2o$
135bobo2$150b3o$152bo$151bo$165b2o57bo$166b2o55bo$165bo57b3o$180b2o$
179bobo$181bo18$14bo$12b2o$13b2o9$205bobo$205b2o$206bo!


I will try to put this into practice and inevitably see just how difficult it is to adjust moving streams with modular arithmetic in 2 dimensions... But I hope my next post will be able to show two an adjustment that makes the new track formed from the 3/2 multiplier usable for another interaction.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A p158 rake, or at least an idea of one.

x = 243, y = 481, rule = B3/S23
7$196bobo$196b2o$197bo16$219bobo$219b2o$220bo22$172bo$171bo$171b3o16$
195bo$194bo$194b3o23$148bo$146b2o$147b2o16$171bo$169b2o$170b2o23$122bo
$122bobo$122b2o16$145bo$145bobo$145b2o23$97bobo$97b2o$98bo14$166bo$
164b2o$120bobo42b2o$120b2o$121bo22$73bo$72bo$72b3o10$60b3o$59bo3bo$64b
o2$59b2o3bo$61b3o76bo$94bo2bo42bobo$94bob2o42b2o$96b2o3$98b2o$98b2o4$
89bo$89bobo$89b2o11$69bo$67bobo$68b2o16$108bo6b2o$106bobo5bo2bo$107b2o
5bo2bo$114bo$117bo$115b3o$117b2o$118bo3$110bo$108b2o$64bobo42b2o$64b2o
$65bo11$82bobo$83b2o$83bo$106b2o$105bobo$106bo21$101b2o$100bobo$84bo
16bo$40bo43bobo$39bo44b2o$39b3o11$98bo$99bo$97b3o5$96b2o$95bobo$96bo
15$62b3o$62bo2bo$62bo2bo$63bo2bo$63b3o$64b2o$16bo74b2o$14b2o74bobo$15b
2o74bo6$54bo$52b2o$53b2o3$112bo$113b2o$112b2o8$86b2o$85bobo$86bo14$75b
o$76b2o$75b2o5$81b2o$80bobo$81bo3$28bo$28bobo$28b2o53b2o$82bobo$84bo$
98bo29bo$98b2o26bobo$97bobo27b2o2$112b3o$114bo$113bo$127b2o$128b2o$
127bo29$3bobo$3b2o$4bo!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I've been trying to make p158 elements without a filter. Gliders are plentiful and glider reactions are convenient. We don't need a filter and the catch-and-throw technology.

Here's a p158 helix MWSS rake that has many missing ends but to me shows promise.
x = 1809, y = 1465, rule = B3/S23
37$466bo$467bo$465b3o41$480bo$481b2o$356bo123b2o$354bobo$355b2o6$464bo
bo$465b2o$465bo31$496bo$494bobo$369bobo123b2o$370b2o$370bo5$480bo$481b
o$479b3o32$509bobo$385bo124b2o$386bo123bo$384b3o6$494bo$495b2o$494b2o
14$690bobo$690b2o$691bo15$525bo$526bo$399bo124b3o$400b2o$399b2o6$510bo
$508bobo$509b2o13$666bo$665bo$665b3o16$539bo157bo$540b2o154bo$415bo
123b2o155b3o$413bobo$414b2o5$245bobo$246b2o275bobo$246bo277b2o$524bo
13$642bo$640b2o$641b2o14$601bo$600bobo$555bo44b2o71bo$553bobo115b2o$
210bobo215bobo123b2o116b2o$211b2o216b2o$211bo217bo4$261bo449bo$262bo
276bo169b2o$260b3o277bo169b2o$538b3o8$620bo$619b3o$596bo21b2o2bo$595bo
bo21b5o$595b2o22b2o2bo$620bo2bo$620bobo9$610bo$609bo$609b3o7$568bobo
76bo$226bo217bo124b2o20bo55bobo$227bo217bo123bo20bobo54b2o$225b3o215b
3o144b2o5$275bo56bobo350bo$276b2o55b2o218bo131bobo$275b2o56bo220b2o
129b2o$553b2o11$633bo$634bo$586bo45b3o$585bobo$585b2o8$586bo$584b2o$
585b2o6$584bo$585bo36bobo$240bo217bo124b3o36b2o$241b2o216b2o162bo$240b
2o216b2o$581bo$580bobo$580b2o$348bo$291bo57bo310bobo$289bobo55b3o219bo
90b2o$290b2o275bobo91bo$568b2o11$647bo$648b2o$647b2o3$576bo$575bobo$
575b2o3$603bo$602b3o$207bobo350bo40bo2b2o$208b2o350bobo38b4o$208bo351b
2o42bobo$604bo2bo$604b3o$603bobo$603bobo$603b3o$598bo$599b2o$256bo217b
o123b2o$254bobo215bobo$255b2o216b2o4$362bo208bo64bo$304bobo56b2o205bob
o18b2o42bo$305b2o55b2o206b2o10bobo5bo2bo41b3o$305bo277b2o4b3o$583bo$
591bobo2$594bo$593b2o3$585bo$584bo$584b3o2$663bo$661bobo$662b2o6$566bo
$565bobo$565b2o$223bo$224bo310bobo$222b3o310b2o$536bo8$269bobo215bobo$
270b2o216b2o$270bo217bo4$320bo57bo233bo$321bo54bobo231b2o$319b3o55b2o
232b2o$561bo$560bobo$560b2o6$561bo$559b2o$560b2o2$676bobo$677b2o$677bo
4$153bo$154b2o$153b2o3$237bo273bo44bo$238b2o270bo44bobo$237b2o271b3o
42b2o8$285bo217bo$286bo217bo$284b3o215b3o5$334bo56bobo192bo$335b2o55b
2o192bobo$334b2o56bo193b2o4$551bo$550bobo$550b2o3$535bo$535bobo$535b2o
$692bo$693bo$691b3o5$169bo$167bobo$168b2o3$253bo233bo$251bobo231b2o$
252b2o232b2o$546bo$545bobo$545b2o5$299bo217bo$300b2o216b2o$299b2o216b
2o4$407bo$350bo57bo152bobo$348bobo55b3o152b2o$349b2o211bo7$541bo$540bo
bo$510bobo27b2o$510b2o$511bo$706bo$707b2o$706b2o3$867bo$866bo$182bobo
681b3o$183b2o$183bo3$266bobo192bo$267b2o192bobo$267bo193b2o4$536bo$
535bobo$535b2o2$315bo217bo$313bobo215bobo$314b2o216b2o450bo$983bobo$
983b2o2$421bo115bo$363bobo56b2o112bo$364b2o55b2o113b3o$364bo$1058bo$
1058bobo$1058b2o5$486bo$485bo$485b3o43bo$530bobo$530b2o190bo$720bobo$
721b2o2$979bo$843bo134bobo$198bo642b2o135b2o$199bo642b2o$197b3o3$282bo
$283bo152bobo$281b3o152b2o$437bo4$28bo$29b2o$28b2o$526bo$328bobo194bob
o18bobo$329b2o194b2o20b2o$329bo217bo3$974bo$379bo57bo75bo459bobo$380bo
54bobo73b2o460b2o$378b3o55b2o74b2o2$1033bobo$1033b2o$1034bo5$462bo$
460b2o$461b2o2$735bobo$521bo214b2o$520bobo213bo$520b2o2$817bo$212bo
604bobo$213b2o602b2o150bo$212b2o754bobo$968b2o2$296bo115bo$297b2o112bo
$296b2o113b3o5$44bo$42bobo$43b2o$344bo217bo$345bo217bo$343b3o215b3o$
516bo$515bobo$515b2o2$393bo56bobo34bo$394b2o55b2o34bobo553bo$393b2o56b
o35b2o475bo77bo$963bobo43bo32b3o$963b2o43bo$1008b3o6$436bo$436bobo$
436b2o$751bo$752bo$750b3o3$511bo$510bobo279bobo$228bo281b2o280b2o$226b
obo564bo$227b2o2$959bo$312bo75bo569bobo$310bobo73b2o570b2o$311b2o74b2o
$468b3o$468bo2bo$466bo4bo2$57bobo406bo$58b2o407bo$58bo409b2obo$358bo
110bo2bo103bo$359b2o108b2o106b2o$358b2o110bo2bo102b2o$473bo$469bo$472b
o$466bo2b3o34bo$409bo57bo37bobo$407bobo55b3o37b2o512bo$408b2o607b2o$
985bo32b2o$983b2o$954bo29b2o$953bobo$953b2o2$457bo$455b2o$411bobo42b2o
$411b2o$412bo$765bo$766b2o$765b2o3$768bo$767bo$241bobo523b3o$242b2o
257bo$242bo257bobo$500b2o2$325bobo34bo$326b2o34bobo270bo$326bo35b2o
272bo312bo$634b3o311bobo$948b2o2$73bo$74bo$72b3o2$374bo217bo$372bobo
215bobo$373b2o216b2o5$422bobo$423b2o568bo$423bo72bo496bobo$495bobo461b
o33b2o$495b2o462bobo$959b2o3$944bo$431bo511bobo$387bo43bobo509b2o$386b
o44b2o$343b3o40b3o$343bo2bo$341bo4bo434bo$779bobo$341bo438b2o$342bo$
343b2obo$344bo2bo396bo$257bo86b2o396b2o$258bo86bo2bo394b2o$256b3o89bo$
344bo$347bo$341bo2b3o144bo$342bo147bobo$340b3o147b2o4$939bo$87bo850bob
o$88b2o848b2o$87b2o$332bo$330b2o55bobo215bobo$331b2o55b2o216b2o$388bo
217bo4$438bo$439bo$437b3o528bobo$968b2o$934bobo32bo$934b2o$486bo448bo$
485bobo$485b2o2$406bobo$363bo42b2o$361b2o44bo526bo$362b2o569bobo$933b
2o$794bobo$795b2o$795bo3$718bo$271bo446bobo$272b2o444b2o$271b2o5$665bo
$481bo181bobo$480bobo181b2o$480b2o2$103bo$101bobo$102b2o825bo$304bo98b
o217bo306bobo$303bob2o97bo217bo305b2o$305b2o95b3o215b3o$304b3o2$308b2o
$307b3o$452bo$453b2o489bo$300bo151b2o489bo$299bo610bo32b3o$299b3o607bo
$341bo567b3o$340b3o$339b2o2bo$340b5o$340b2o2bo37bo93bo$341bo2bo36bo93b
obo$341bobo37b3o91b2o3$810bo$811bo112bo$809b3o111bobo$923b2o3$331bo
361bobo$287bo42bo362b2o$285bobo42b3o361bo$286b2o9$471bo$116bobo196bo
154bobo$117b2o197bo153b2o$117bo196b3o$417bo217bo$418b2o216b2o$417b2o
216b2o282bo$918bobo$918b2o3$468bo$466bobo451bo$276bo190b2o449b2o$274b
2o610bo32b2o$275b2o607b2o$885b2o$359b3o$359bo2bo$354bo8bo$355bo4b3o$
353b3o2$466bo$465bobo$465b2o357bo$825b2o$824b2o2$307b2o605bo$307b2o41b
obo316bo243bobo$309bo40b2o316bo244b2o$300bobo4b2o42bo316b3o$301b2o4b2o
$301bo$309b2o$309b2o$1079b2o$694bo382b2ob2o$695bo381b4o$693b3o382b2o$
299bobo$299b2o$132bo167bo$133bo195bo$131b3o196b2o18b2o$329b2o18bobo
109bo$350bo82bo26bobo188bo$431bobo26b2o187bobo213bo$432b2o216b2o212b3o
$863b2o2bo2$867b2o40bo$867b2o39bobo$481bobo382bo2bo38b2o$482b2o381b3o
26bo$250bo231bo411bobo$250bobo641b2o$250b2o6$855b2o$855bobo$857bo$855b
obo$345b2o493bo14b2o$344bobo109bo381bobo15b2o$345bo109bobo381b2o16b2o$
455b2o400b2o$326bo$325bo319bo$325b3o315b2o$644b2o232b3o23bo$847bo30bo
2bo21bobo$847bobo30b2o21b2o$847b2o$876bo2bo$877b2o$880b2o$879b3o265b2o
$275bo604bo265b4o$274bo602b2ob2o264b2ob2o$274b3o600b2ob2o266b2o$146bo
730bo3bo$147b2o196bo531bo3bo$146b2o195bobo532bo$344b2o$446bobo215bobo$
340b2o105b2o216b2o$339bobo105bo3bo177bo35bo203b3o$340bo109bobo175b3o
237bo2bo$450b2o176bo2bo236b2obo$630b2o$497bo132bo$498bo128b2o$496b3o
128b4o237b2o29bo$225bobo400bo2bo236b4o26bobo$225b2o402bo239bo2bo25b2o$
226bo401bo241bobo$627b2o241bobo$306b3o317bo5bo$305bo2bo317b2o3b2o$305b
o2bo318b2o243bo$304bo2bo561bo2bo$304bo2bo560b5o$308b2o556bo2bo$308b2o
557b2o$306bo3bo$309b2o542bobo$311bo542b2o$306bo3bo543bo$307b3o25b2o
295bobo$334bobo296b2o$335bo297bo$856bobo$856b2o$822bobo32bo$822b2o$
823bo70bo$893bobo$893b2o$724bo$294bobo130bo185bo108bobo$251bo42b2o130b
o185bo110b2o$249b2o44bo130b3o181b2ob2o$250b2o357b5o$162bo445b2o2bo604b
2o$160bobo195bobo247bob4o601b2ob2o$161b2o196b2o247bo4bo601b4o$359bo
248bo2b2o67bo535b2o$610b2o69bo$679b3o$606bo$606bobo$330b2o274b2o$329bo
bo$330bo180bo$512b2o$201bo309b2o$200bo$200b3o$889bo$888bobo$888b2o7$
869bo$870bo$868b3o$321bobo324bo$322b2o325bo$322bo324b3o$799b2o31bo$
325b2o472bobo29bo$324bobo474bo29b3o$325bo473bobo$229bo569b2o$228b3o
569b2o$227b2o2bo97b3o469b2o$228b5o98bo287bo181b2o$228b2o2bo37bo59bo
286bobo264bo$229bo2bo36bo74b2o57bo214b2o263bobo$229bobo37b3o73b2o54b2o
480b2o$344bo57b2o$359b2o13bo416bo$175bobo180bobo12bobo415bobo$176b2o
182bo11bo3bo414b2o$176bo199bo908b2o$375b2o317bo589b4o$375bo319b2o587b
2ob2o$694b2o590b2o$219bo361bobo$218bo362b2o$218b3o361bo2$527bo$525bobo
$177bo348b2o$175b2o$176b2o$813b3o$812bo2bo$812b2obo56bo$870b2o$871b2o
2$812b2o$812b4o$813bo2bo$814bobo$814bobo2$662bo$663b2o151bo$662b2o149b
o2bo$387b2o423b5o$386bobo421bo2bo$388bo422b2o3$247b3o$247bo2bo$242bo8b
o164b3o213bobo118bo$243bo4b3o105b2o60bo214b2o119bo$241b3o111bo2bo58bo
215bo118b3o$356b2o442bobo$800b2o$191bo574bobo32bo$192bo253b2o318b2o$
190b3o252bobo319bo$447bo$710bo$708bobo$238bobo316bo151b2o$238b2o316bo
798b2o$239bo235b3o78b3o794b2ob2o$477bo875b4o$476bo877b2o$540bobo$541b
2o$151bo389bo$151bobo351b2o$151b2o351bobo$506bo2$718b2o126bo$718bobo
125bobo$718bo127b2o$238b2o294b3o$237bobo296bo$238bo296bo4$564b2o$554b
2o7bobo112bo$555b2o8bo110bobo$554bo122b2o$569b2o$393bo174bobo$391bobo
176bo$392b2o190bo8b3o$584b2o9bo$583bobo8bo$648bo$598b3o48bo$600bo46b3o
$352bobo244bo23b2o151bo$352b2o259b2o7bobo150bo$346b2o5bo260b2o8bo117bo
32b3o$205bo139bo2bo264bo127bo$206b2o25b2o111b2o280b2o111b3o$205b2o25bo
bo392bobo$233bo395bo$643bo8b3o68bobo$643b2o9bo69b2o$642bobo8bo70bo2$
657b3o$659bo763b2o$658bo23b2o738b4o$672b2o7bobo738b2ob2o$673b2o8bo740b
2o$126bobo543bo$126b2o559b2o$127bo558bobo$688bo$702bo8b3o$702b2o9bo
107bobo$701bobo8bo108b2o$822bo$716b3o$718bo$717bo23b2o$228b2o501b2o7bo
bo$227bobo502b2o8bo$228bo502bo20b2o$746b2o3bobo$691bobo51bobo5bo$692b
2o53bo31bo$692bo77b3o6b2o$772bo5bobo$771bo2$775b3o$777bo$776bo23b2o6b
2o$662bo136bobo7b2o$663b2o136bo6bo$662b2o171b2o$805b2o27bobo$804bobo
29bo$806bo$221bo607b3o$219bobo609bo$220b2o608bo$864b3o$223b2o609b3o29b
o$222bobo611bo28bo$223bo611bo23b2o$858bobo$228bo631bo$228b2o664b2o$
227bobo634b2o27bobo$863bobo29bo$242b3o620bo$244bo643b3o602b2o$243bo
646bo600b2ob2o$257b2o630bo601b4o$258b2o663b3o566b2o$257bo539bo95b3o29b
o$272b2o522bo98bo28bo$271bobo522b3o95bo23b2o$273bo643bobo$287bo631bo$
287b2o664b2o$286bobo634b2o27bobo$922bobo29bo$301b3o620bo$303bo643b3o$
302bo404bo241bo$316b2o390bo239bo$317b2o387b3o273b3o$316bo635b3o29bo$
331b2o89bo531bo28bo$330bobo90bo529bo23b2o$332bo88b3o552bobo$346bo631bo
$346b2o664b2o$345bobo634b2o27bobo$678bo302bobo29bo$360b3o313bobo304bo$
362bo314b2o327b3o$361bo646bo$375b2o630bo$376b2o663b3o$375bo635b3o29bo$
390b2o621bo28bo$389bobo620bo23b2o$391bo643bobo$405bo631bo$405b2o664b2o
$404bobo634b2o27bobo$1040bobo29bo$419b3o620bo$421bo643b3o$420bo646bo$
434b2o630bo$435b2o663b3o$434bo635b3o29bo$1072bo28bo$1071bo23b2o464b2o$
1094bobo463b4o$464bo631bo463b2ob2o$464b2o664b2o430b2o$463bobo634b2o27b
obo$1099bobo29bo$1101bo$1124b3o$1126bo$493b2o630bo$494b2o663b3o$493bo
635b3o29bo$721bo409bo28bo$722b2o406bo23b2o$721b2o430bobo$523bo631bo$
523b2o664b2o$522bobo634b2o27bobo$1158bobo29bo$1160bo$1183b3o$1185bo$
552b2o137bobo490bo$553b2o137b2o524b3o$552bo139bo495b3o29bo$1190bo28bo$
1189bo23b2o$1212bobo$274b3o305bo631bo$276bo305b2o664b2o$275bo305bobo
634b2o27bobo$289b2o926bobo29bo$290b2o927bo$289bo952b3o$304b2o938bo$
303bobo305b2o630bo$305bo306b2o663b3o$319bo291bo635b3o29bo$319b2o928bo
28bo$318bobo927bo23b2o$1271bobo$333b3o305bo631bo$335bo305b2o664b2o$
334bo305bobo634b2o27bobo$348b2o926bobo29bo$349b2o396bo530bo$348bo398bo
bo551b3o$363b2o382b2o554bo327b2o$362bobo305b2o630bo326b2ob2o$364bo306b
2o663b3o290b4o$378bo291bo635b3o29bo291b2o$378b2o928bo28bo$377bobo927bo
23b2o$1330bobo$392b3o305bo631bo$394bo305b2o35bo628b2o$393bo305bobo33bo
bo598b2o27bobo$407b2o327b2o597bobo29bo$408b2o927bo$407bo952b3o$422b2o
938bo$421bobo305b2o630bo$423bo306b2o663b3o$437bo291bo635b3o29bo$437b2o
268bo659bo28bo$436bobo269bo657bo23b2o$706b3o680bobo$451b3o937bo$453bo
971b2o$452bo942b2o27bobo$466b2o926bobo29bo$467b2o927bo$466bo952b3o$
481b2o938bo$480bobo937bo$482bo971b3o$496bo927b3o29bo$496b2o928bo28bo$
495bobo927bo23b2o$1448bobo$510b3o937bo$512bo971b2o$511bo942b2o27bobo$
525b2o926bobo29bo$526b2o927bo$525bo952b3o$540b2o938bo$539bobo937bo$
541bo971b3o$555bo927b3o29bo$555b2o928bo28bo$274b3o277bobo927bo23b2o$
276bo1230bobo189b2o$275bo293b3o937bo188b4o$289b2o280bo971b2o153b2ob2o$
290b2o278bo942b2o27bobo155b2o$289bo294b2o926bobo29bo$304b2o279b2o927bo
$303bobo278bo165bobo784b3o$305bo293b2o150b2o786bo$319bo278bobo150bo
786bo$319b2o279bo971b3o$318bobo293bo927b3o29bo$614b2o928bo28bo$333b3o
277bobo927bo23b2o$335bo1230bobo$334bo293b3o937bo$348b2o280bo90bo880b2o
$349b2o278bo92b2o848b2o27bobo$348bo294b2o76b2o848bobo29bo$363b2o279b2o
927bo$362bobo278bo952b3o$364bo293b2o938bo$378bo278bobo937bo$378b2o279b
o971b3o$377bobo293bo927b3o29bo$673b2o928bo28bo$392b3o277bobo927bo23b2o
$394bo1230bobo$393bo293b3o937bo$407b2o280bo971b2o$408b2o278bo942b2o27b
obo$407bo294b2o926bobo29bo$422b2o279b2o927bo$421bobo278bo952b3o$423bo
293b2o938bo$437bo278bobo937bo$437b2o279bo971b3o$436bobo1221b3o29bo$
1662bo28bo$451b3o1207bo23b2o$453bo1230bobo$452bo1233bo$466b2o1252b2o$
467b2o1221b2o27bobo$466bo1222bobo29bo$481b2o1208bo$480bobo1231b3o$482b
o1233bo$496bo1218bo53b2o$496b2o268bo982b3o15b2ob2o$495bobo269bo951b3o
29bo15b4o$765b3o953bo28bo17b2o$510b3o1207bo23b2o$512bo1230bobo$511bo
1233bo$525b2o1252b2o$526b2o1221b2o27bobo$525bo1222bobo29bo$540b2o1208b
o$539bobo1231b3o$541bo1233bo$555bo1218bo$555b2o$554bobo1221b3o$1780bo$
569b3o1207bo$571bo$570bo$584b2o$585b2o$584bo$599b2o$598bobo$600bo$614b
o$614b2o$613bobo2$628b3o$630bo$629bo$643b2o$644b2o$643bo$658b2o$657bob
o$659bo$673bo$673b2o$672bobo2$687b3o$689bo90bo$688bo92b2o$702b2o76b2o$
703b2o$702bo$717b2o$716bobo$718bo$732bo$732b2o$731bobo2$746b3o$748bo$
747bo$761b2o$762b2o$761bo$776b2o$775bobo$777bo!

Missing ends: The sideways LWSS rake (nontrivial, I know)
One p158 input stream that doesn't even pass through..
Support for all the glider and boat streams.

I think maybe having a double track upstream like the one I posted earlier would be the easiest way to support a large number of inputs, because the double track can rephase itself.

And here's another glider reaction that can produce pairs of p158 glider streams, this time without the extra stuff to clean up.
x = 453, y = 445, rule = B3/S23
53$83bo$81bobo$82b2o14$405bo$404bo$404b3o25$96bobo$97b2o$97bo14$381bo$
379b2o$380b2o24$112bo$113bo$111b3o15$355bo$355bobo$355b2o24$126bo$127b
2o$126b2o15$330bobo$330b2o$331bo24$142bo$140bobo$141b2o14$306bo$305bo$
305b3o25$155bobo$156b2o$156bo14$282bo$280b2o$281b2o24$171bo$172bo$170b
3o15$256bo$256bobo$256b2o24$185bo$186b2o$185b2o15$231bobo$231b2o$232bo
16$74b2o$75b2o$74bo$89b2o$88bobo$90bo$104bo$104b2o$103bobo95bo$199bobo
$118b3o79b2o$120bo$119bo$133b2o$134b2o$133bo$148b2o$147bobo$149bo$163b
o$163b2o$162bobo2$177b3o$179bo27bo$178bo27bo$192b2o12b3o$193b2o$192bo$
207b2o$206bobo$208bo!


Also, keeping with codeholic's original drawing, I think we will want to make large rake elements that begin and end with two glider streams and create two new ones far to the right, destroying the original. It will cut down the eventual size. I tried to visualize this by making two new streams in the far right of my large rake. I didn't bother to destroy the original though..

I think a fantastic step in this would be to find an appropriate *WSS reaction that takes a p158 glider and produces two pairs of p79 gliders to start the ship off. But I'm aware this is still miles from complete.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This could be the full front of the ship, I managed to make two tracks from the original helix plus p79 LWSS. The sideways gliders are all suppressed. Each step of the helix is synthesizable, but HWSS side guns will be the hard part.

x = 525, y = 1197, rule = B3/S23
29$138b2o$139b2o$138bo3$130bo$130bo$127bob2o23bo$127bobo23b3o$127b3o
22b2obo$152b3o$132bo20b2o$130b2o$131b2o$162bo$161b3o$161bob2o$162b3o$
154b3o5b2o$121b3o15b3o11bo2bo$121bo2bo14bo2bo13bo$121bo17bo16bo$121bo
3bo13bo13bobo$121bo18bobo$122bobo5$139bo$138b3o$137b2obo$137b3o$132bo
5b2o$131b3o$131bob2o$132b3o5bo$132b2o5b3o$139bob2o$140b3o$140b2o22bo$
163b3o$163bob2o$164b3o$164b2o3$172bo$171b3o$170b2obo$170b3o$164b3o4b2o
$131b3o15b3o12bo2bo$130bo2bo14bo2bo12bo$133bo17bo12bo$129bo3bo17bo13bo
bo$133bo14bobo$130bobo2$106bo$105bobo$105bo2bo$106b2o41bo$148b3o$148bo
b2o$149b3o$142bo6b2o$141b3o$140b2obo$140b3o7bo$99bo41b2o6b3o$98bobo47b
2obo$97b2ob2o46b3o$98bo2bo47b2o23bo$98bo3bo70b3o$98bo73b2obo$172b3o$
173b2o$98b2o$99bo$182bo$96bo84b3o$96bob2ob2o78bob2o$95b2ob2ob2o79b3o$
96bobo75b3o5b2o$97bo43b3o15b3o11bo2bo$141bo2bo14bo2bo13bo$141bo17bo16b
o$141bo3bo13bo13bobo$141bo18bobo$142bobo3$103bo$104b2o$103b2o54bo$158b
3o$157b2obo$157b3o$152bo5b2o$151b3o$151bob2o$152b3o5bo$152b2o5b3o$108b
o50bob2o$82bo24b3o50b3o$82bobo22bob2o49b2o22bo$82b2o24b3o72b3o$108b2o
73bob2o$184b3o$184b2o3$192bo$191b3o$190b2obo$190b3o$184b3o4b2o$151b3o
15b3o12bo2bo$150bo2bo14bo2bo12bo$102bo50bo17bo12bo$101bobo8b3o34bo3bo
17bo13bobo$101bobo8bo2bo37bo14bobo$102bo9bo37bobo$112bo$113bobo3$169bo
$168b3o$94b3o71bob2o$95bo73b3o$95b3o64bo6b2o$161b3o$160b2obo$160b3o7bo
$161b2o6b3o$118bo49b2obo$117b3o48b3o$116b2obo49b2o23bo$93bobo20b3o74b
3o$93bobo21b2o73b2obo$192b3o$96bo96b2o3$202bo$92bobo106b3o$57bobo33bo
107bob2o$57b2o143b3o$58bo135b3o5b2o$161b3o15b3o11bo2bo$161bo2bo14bo2bo
13bo$161bo17bo16bo$122b3o36bo3bo13bo13bobo$121bo2bo36bo18bobo$100bobo
21bo37bobo$101b2o21bo$101bo19bobo3$179bo$178b3o$177b2obo$177b3o$172bo
5b2o$171b3o$77bo93bob2o$76bo95b3o5bo$76b3o93b2o5b3o$128bo50bob2o$127b
3o50b3o$127bob2o49b2o22bo$128b3o72b3o$128b2o73bob2o$204b3o$204b2o3$
212bo$211b3o$210b2obo$210b3o$204b3o4b2o$171b3o15b3o12bo2bo$170bo2bo14b
o2bo12bo$173bo17bo12bo$132b3o34bo3bo17bo13bobo$132bo2bo37bo14bobo$132b
o37bobo$33bo98bo$32bo100bobo$32b3o2$189bo$188b3o$188bob2o$189b3o$116bo
65bo6b2o$117bo63b3o$115b3o62b2obo$180b3o7bo$181b2o6b3o$138bo49b2obo$
137b3o48b3o$136b2obo49b2o23bo$136b3o74b3o$137b2o73b2obo$212b3o$213b2o
3$222bo$221b3o$221bob2o$222b3o$214b3o5b2o$181b3o15b3o11bo2bo$181bo2bo
14bo2bo13bo$181bo17bo16bo$142b3o36bo3bo13bo13bobo$141bo2bo36bo18bobo$
144bo37bobo$144bo$141bobo3$199bo$198b3o$197b2obo$197b3o$192bo5b2o$191b
3o$191bob2o$192b3o5bo$192b2o5b3o$148bo50bob2o$147b3o50b3o$147bob2o49b
2o22bo$148b3o72b3o$148b2o73bob2o$130bo93b3o$131b2o91b2o$130b2o2$232bo$
231b3o$230b2obo$230b3o$224b3o4b2o$191b3o15b3o12bo2bo$190bo2bo14bo2bo
12bo$193bo17bo12bo$152b3o34bo3bo17bo13bobo$152bo2bo37bo14bobo$152bo37b
obo$152bo$153bobo3$209bo$208b3o$208bob2o$209b3o$202bo6b2o$201b3o$200b
2obo$200b3o7bo$201b2o6b3o$158bo49b2obo$157b3o48b3o$156b2obo49b2o23bo$
156b3o74b3o$157b2o73b2obo$232b3o$233b2o3$242bo$241b3o$241bob2o$242b3o$
234b3o5b2o$201b3o15b3o11bo2bo$146bo54bo2bo14bo2bo13bo$144bobo54bo17bo
16bo$145b2o15b3o36bo3bo13bo13bobo$161bo2bo36bo18bobo$164bo37bobo$164bo
$161bobo3$219bo$218b3o$217b2obo$217b3o$212bo5b2o$211b3o$211bob2o$212b
3o5bo$212b2o5b3o$168bo50bob2o$167b3o50b3o$167bob2o49b2o22bo$168b3o72b
3o$168b2o73bob2o$244b3o$244b2o3$252bo$251b3o$250b2obo$250b3o$244b3o4b
2o$211b3o15b3o12bo2bo$210bo2bo14bo2bo12bo$213bo17bo12bo$172b3o34bo3bo
17bo13bobo$172bo2bo37bo14bobo$172bo37bobo$172bo$173bobo3$229bo$159bobo
66b3o$160b2o66bob2o$160bo68b3o$222bo6b2o$221b3o$220b2obo$220b3o7bo$
221b2o6b3o$178bo49b2obo$177b3o48b3o$176b2obo49b2o23bo$176b3o74b3o$177b
2o73b2obo$252b3o$253b2o3$262bo$261b3o$261bob2o$262b3o$254b3o5b2o$221b
3o15b3o11bo2bo$221bo2bo14bo2bo13bo$221bo17bo16bo$182b3o36bo3bo13bo13bo
bo$181bo2bo36bo18bobo$184bo37bobo$184bo$181bobo3$239bo$238b3o$237b2obo
$237b3o$232bo5b2o$231b3o$231bob2o$232b3o5bo$232b2o5b3o$188bo50bob2o$
175bo11b3o50b3o$176bo10bob2o49b2o22bo$174b3o11b3o72b3o$188b2o73bob2o$
264b3o$264b2o3$272bo$271b3o$270b2obo$270b3o$264b3o4b2o$231b3o15b3o12bo
2bo$230bo2bo14bo2bo12bo$233bo17bo12bo$192b3o34bo3bo17bo13bobo$192bo2bo
37bo14bobo$192bo37bobo$192bo$193bobo3$249bo$248b3o$248bob2o$249b3o$
242bo6b2o$241b3o$240b2obo$240b3o7bo$241b2o6b3o$198bo49b2obo$197b3o48b
3o$196b2obo49b2o23bo$196b3o74b3o$197b2o73b2obo$272b3o$273b2o3$282bo$
281b3o$189bo91bob2o$190b2o90b3o$189b2o83b3o5b2o$241b3o15b3o11bo2bo$
241bo2bo14bo2bo13bo$241bo17bo16bo$202b3o36bo3bo13bo13bobo$201bo2bo36bo
18bobo$204bo37bobo$204bo$201bobo3$259bo$258b3o$257b2obo$257b3o$252bo5b
2o$251b3o$251bob2o$252b3o5bo$252b2o5b3o$208bo50bob2o$207b3o50b3o$207bo
b2o49b2o22bo$208b3o72b3o$208b2o73bob2o$284b3o$284b2o3$292bo$291b3o$
290b2obo$290b3o$284b3o4b2o$251b3o15b3o12bo2bo$250bo2bo14bo2bo12bo$253b
o17bo12bo$212b3o34bo3bo17bo13bobo$212bo2bo37bo14bobo$212bo37bobo$212bo
$205bo7bobo$203bobo$204b2o$269bo$268b3o$268bob2o$269b3o$262bo6b2o$261b
3o$260b2obo$260b3o7bo$261b2o6b3o$218bo49b2obo$217b3o48b3o$216b2obo49b
2o23bo$216b3o74b3o$217b2o73b2obo$292b3o$293b2o3$302bo$301b3o$301bob2o$
302b3o$294b3o5b2o$261b3o15b3o11bo2bo$261bo2bo14bo2bo13bo$261bo17bo16bo
$222b3o36bo3bo13bo13bobo$221bo2bo36bo18bobo$224bo37bobo$224bo$221bobo
3$279bo$278b3o$277b2obo$277b3o$272bo5b2o$271b3o$271bob2o$218bobo51b3o
5bo$219b2o51b2o5b3o$219bo8bo50bob2o$227b3o50b3o$227bob2o49b2o22bo$228b
3o72b3o$228b2o73bob2o$304b3o$304b2o3$312bo$311b3o$310b2obo$131b2o177b
3o$127b4ob2o170b3o4b2o$127b6o138b3o15b3o12bo2bo$128b4o138bo2bo14bo2bo
12bo$273bo17bo12bo$232b3o34bo3bo17bo13bobo$232bo2bo37bo14bobo$232bo37b
obo$232bo$233bobo3$289bo$288b3o$288bob2o$289b3o$282bo6b2o$281b3o$280b
2obo$280b3o7bo$281b2o6b3o$238bo49b2obo$237b3o48b3o$236b2obo49b2o23bo$
236b3o74b3o$237b2o73b2obo$312b3o$234bo78b2o$234bo$235bo$322bo$321b3o$
321bob2o$322b3o$314b3o5b2o$281b3o15b3o11bo2bo$281bo2bo14bo2bo13bo$281b
o17bo16bo$242b3o36bo3bo13bo13bobo$241bo2bo36bo18bobo$244bo37bobo$244bo
$241bobo3$197b4o98bo$196b6o96b3o$143b2o51b4ob2o94b2obo$141bo4bo53b2o
95b3o$147bo144bo5b2o$141bo5bo143b3o$142b6o143bob2o$292b3o5bo$292b2o5b
3o$248bo50bob2o$247b3o50b3o$247bob2o49b2o22bo$248b3o72b3o$248b2o73bob
2o$324b3o$324b2o3$332bo$331b3o$330b2obo$203bo126b3o$203b2o119b3o4b2o$
202bobo86b3o15b3o12bo2bo$290bo2bo14bo2bo12bo$198bo94bo17bo12bo$190b3o
5b2o52b3o34bo3bo17bo13bobo$192bo4bobo52bo2bo37bo14bobo$191bo40b2o18bo
37bobo$233b2o17bo$232bo20bobo2$220b2o5b2o$219bobo6b2o79bo$221bo5bo80b
3o$308bob2o$309b3o$302bo6b2o$301b3o$300b2obo$300b3o7bo$301b2o6b3o$258b
o49b2obo$257b3o48b3o$256b2obo49b2o23bo$256b3o74b3o$257b2o73b2obo$332b
3o$333b2o2$211b6o$210bo5bo125bo$216bo124b3o$210bo4bo125bob2o$212b2o
128b3o$334b3o5b2o$301b3o15b3o11bo2bo$301bo2bo14bo2bo13bo$301bo17bo16bo
$301bo3bo13bo13bobo$301bo18bobo$302bobo5$319bo$318b3o$317b2obo$317b3o$
312bo5b2o$217b3o91b3o$219bo91bob2o$218bo93b3o5bo$312b2o5b3o$205b2o5b3o
53bo50bob2o$206b2o6bo52b3o50b3o$205bo7bo33b2o18bob2o49b2o22bo$246bobo
19b3o72b3o$248bo19b2o73bob2o$344b3o$235bo6b2o100b2o$235b2o4bobo$234bob
o6bo$352bo$351b3o$219b4o127b2obo$218bo3bo127b3o$222bo121b3o4b2o$218bo
2bo89b3o15b3o12bo2bo$310bo2bo14bo2bo12bo$313bo17bo12bo$309bo3bo17bo13b
obo$313bo14bobo$310bobo5$329bo$328b3o$328bob2o$329b3o$322bo6b2o$321b3o
$320b2obo$320b3o7bo$321b2o6b3o$328b2obo$328b3o$329b2o23bo$353b3o$352b
2obo$352b3o$353b2o3$362bo$361b3o$361bob2o$362b3o$354b3o5b2o$321b3o15b
3o11bo2bo$321bo2bo14bo2bo13bo$321bo17bo16bo$321bo3bo13bo13bobo$321bo
18bobo$322bobo4$287bo2bo$291bo47bo$287bo3bo46b3o$288b4o45b2obo$337b3o$
332bo5b2o$331b3o$331bob2o$332b3o5bo$332b2o5b3o$339bob2o$340b3o$340b2o
22bo$363b3o$363bob2o$364b3o$364b2o3$372bo$288b2o81b3o$289b2o79b2obo$
288bo81b3o$283bo80b3o4b2o$283b2o46b3o15b3o12bo2bo$282bobo45bo2bo14bo2b
o12bo$318bo14bo17bo12bo$288bo29b2o9bo3bo17bo13bobo$288b2o27bobo13bo14b
obo$287bobo40bobo$312b2o$313b2o$312bo2$317b2o30bo$318b2o28b3o$317bo30b
ob2o$349b3o$342bo6b2o$341b3o$340b2obo$340b3o7bo$341b2o6b3o$348b2obo$
348b3o$349b2o23bo$373b3o$372b2obo$372b3o$373b2o3$382bo$381b3o$381bob2o
$382b3o$374b3o5b2o$359b3o11bo2bo$359bo2bo13bo$359bo16bo$359bo13bobo$
360bobo3$247b2o$245bo4bo$251bo$245bo5bo107bo$246b6o106b3o$357b2obo$
357b3o$352bo5b2o$351b3o$351bob2o$352b3o5bo$352b2o5b3o$359bob2o$360b3o$
360b2o22bo$383b3o$383bob2o$384b3o$384b2o3$392bo$391b3o$390b2obo$390b3o
$384b3o4b2o$369b3o12bo2bo$368bo2bo12bo$371bo12bo$371bo13bobo$368bobo6$
369bo$368b3o$368bob2o$369b3o$362bo6b2o$361b3o$360b2obo$360b3o7bo$361b
2o6b3o$368b2obo$368b3o$369b2o23bo$315b6o72b3o$314bo5bo71b2obo$320bo71b
3o$314bo4bo73b2o$316b2o2$402bo$401b3o$401bob2o$402b3o$394b3o5b2o$379b
3o11bo2bo$379bo2bo13bo$379bo16bo$379bo13bobo$380bobo2$274b6o$273bo5bo$
279bo$273bo4bo$275b2o44b3o55bo$323bo54b3o$322bo54b2obo$377b3o$309b2o5b
3o53bo5b2o$310b2o6bo52b3o$309bo7bo33b2o18bob2o$350bobo19b3o5bo$352bo
19b2o5b3o$379bob2o$339bo6b2o32b3o$339b2o4bobo32b2o22bo$338bobo6bo55b3o
$403bob2o$404b3o$404b2o3$412bo$411b3o$410b2obo$410b3o$404b3o4b2o$389b
3o12bo2bo$388bo2bo12bo$391bo12bo$391bo13bobo$388bobo6$389bo$388b3o$
388bob2o$285b6o98b3o$284bo5bo98b2o$290bo$284bo4bo$286b2o56b2o44bo$342b
o4bo41b3o$348bo39b2obo$342bo5bo39b3o$343b6o40b2o23bo$413b3o$412b2obo$
412b3o$413b2o3$422bo$421b3o$421bob2o$422b3o$414b3o5b2o$399b3o11bo2bo$
399bo2bo13bo$399bo16bo$399bo13bobo$400bobo2$349b2o$348bobo$350bo2$337b
o6b2o53bo$337b2o4bobo52b3o$336bobo6bo51b2obo$378b3o16b3o$380bo17b2o$
379bo2$366b2o5b3o24bo$367b2o6bo23b3o$366bo7bo24bob2o$400b3o$400b2o22bo
$423b3o$423bob2o$355b2o67b3o$353bo4bo65b2o$359bo$353bo5bo$306b4o44b6o
72bo$305b6o120b3o$305b4ob2o118b2obo$309b2o119b3o$424b3o4b2o$409b3o12bo
2bo$408bo2bo12bo$411bo12bo$411bo13bobo$408bobo9$360b2o$359bobo$361bo2$
348bo6b2o53bo$348b2o4bobo52b3o$347bobo6bo51b2obo$389b3o16b3o$391bo17b
2o23bo$390bo42b3o$432b2obo$377b2o5b3o45b3o$378b2o6bo46b2o$377bo7bo2$
442bo$441b3o$441bob2o$442b3o$434b3o5b2o$419b3o11bo2bo$419bo2bo13bo$
419bo16bo$419bo13bobo$420bobo5$378b2o$374b4ob2o$374b6o$375b4o6$343b2o$
341bo4bo$347bo$341bo5bo96bo$342b6o95b3o$443bob2o$444b3o$444b2o3$452bo$
380b2o69b3o$381b2o67b2obo$380bo69b3o$444b3o4b2o$368b2o5b2o52b3o12bo2bo
$367bobo6b2o50bo2bo12bo$369bo5bo34bo20bo12bo$410b2o19bo13bobo$409bobo
16bobo2$405bo$397b3o5b2o$399bo4bobo$398bo12$454bo$453b3o$452b2obo$452b
3o$453b2o3$462bo$461b3o$461bob2o$355b4o103b3o$354b6o94b3o5b2o$354b4ob
2o50b6o36bo2bo$358b2o50bo5bo39bo$416bo39bo$410bo4bo37bobo$412b2o15$
415b3o$417bo$416bo47bo$463b3o$403b2o5b3o50bob2o$404b2o6bo51b3o$403bo7b
o33b2o17b2o$444bobo$446bo$472bo$433bo6b2o29b3o$433b2o4bobo28b2obo$432b
obo6bo28b3o$464b3o4b2o$464bo2bo$464bo$464bo$465bobo9$427b2o$423b4ob2o$
423b6o$424b4o12$383b2o$381bo4bo95bo$387bo93b3o$381bo5bo39b2o52bob2o$
382b6o40b2o52b3o$427bo46b3o5b2o$473bo2bo$415b2o5b2o52bo$414bobo6b2o51b
o$416bo5bo34bo15bobo$457b2o$456bobo2$452bo$444b3o5b2o$446bo4bobo$445bo
18$492bo$491b3o$490b2obo$490b3o$491b2o10$451b6o$450bo5bo$456bo$450bo4b
o$452b2o14$454b3o$456bo45bo$455bo45b3o$501bob2o$442b2o5b3o50b3o$443b2o
6bo50b2o$442bo7bo33b2o$483bobo$485bo2$472bo6b2o$472b2o4bobo$471bobo6bo
!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

"Freezing" and "thawing" the glider streams with reactions such as the following seems to me a much easier way to rephase the track. Still life is p1, much nicer than p4 gliders, so the H can eat them at any time.

x = 216, y = 328, rule = B3/S23
210bobo$210b2o$211bo2$162bobo$162b2o$163bo36$186bo$185bo$185b3o2$138bo
$137bo$137b3o37$162bo$160b2o$161b2o2$114bo$112b2o$113b2o37$136bo$136bo
bo$136b2o2$88bo$88bobo$88b2o37$111bobo$111b2o$112bo2$63bobo$63b2o$64bo
6$52bobo$52bo2bo$51bo3b2o$51bo2$51bo2b3o$51b2o$53b3o$53b3o22$87bo$86bo
$61bo24b3o$62b2o$61b2o$37bo$36b3o$35b2o2bo2$39b2o$39b2o$38bo2bo$37b3o
11$26bo$25bo$25b3o8$74bo$73bobo$73bobo$74bo3$68b2o$67bo2bo$68b2o13$51b
o$52bo$50b3o16bo$68bobo$68bobo$69bo3$63b2o$62bo2bo$63b2o2$2bo$2o$b2o
11$64bo$63bobo$63bobo$64bo20$59bo$58bobo$58bobo$59bo7$51b3o$52bo$52b3o
!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A more developed front:
x = 861, y = 1095, rule = B3/S23
4$501b2o$502b2o$501bo3$493bo$493bo$490bob2o23bo$490bobo23b3o$490b3o22b
2obo$515b3o$495bo20b2o$493b2o$494b2o$525bo$524b3o$524bob2o$525b3o$517b
3o5b2o$484b3o15b3o11bo2bo$484bo2bo14bo2bo13bo$484bo17bo16bo$484bo3bo
13bo13bobo$484bo18bobo$485bobo5$502bo$501b3o$500b2obo$500b3o$495bo5b2o
$494b3o$494bob2o$495b3o5bo$495b2o5b3o$502bob2o$503b3o$503b2o22bo$526b
3o$526bob2o$527b3o$527b2o3$535bo$534b3o$533b2obo$533b3o$527b3o4b2o$
494b3o15b3o12bo2bo$493bo2bo14bo2bo12bo$496bo17bo12bo$492bo3bo17bo13bob
o$496bo14bobo$493bobo2$469bo$468bobo$468bo2bo$469b2o41bo$511b3o$511bob
2o$512b3o$505bo6b2o$504b3o$503b2obo$503b3o7bo$462bo41b2o6b3o$461bobo
47b2obo$460b2ob2o46b3o$461bo2bo47b2o23bo$461bo3bo70b3o$461bo73b2obo$
535b3o$536b2o$461b2o$462bo$545bo$459bo84b3o$459bob2ob2o78bob2o$458b2ob
2ob2o79b3o$459bobo75b3o5b2o$460bo43b3o15b3o11bo2bo$504bo2bo14bo2bo13bo
$504bo17bo16bo$504bo3bo13bo13bobo$504bo18bobo$505bobo3$466bo$467b2o$
466b2o54bo$521b3o$520b2obo$520b3o$515bo5b2o$514b3o$514bob2o$515b3o5bo$
515b2o5b3o$522bob2o$445bo77b3o$445bobo75b2o22bo$445b2o99b3o$546bob2o$
547b3o$547b2o3$474bo80bo$473b3o78b3o$473bob2o76b2obo$474b3o76b3o$474b
2o71b3o4b2o$514b3o15b3o12bo2bo$513bo2bo14bo2bo12bo$516bo17bo12bo$512bo
3bo17bo13bobo$516bo14bobo$468bo44bobo$467bobo$467bobo$468bo2$532bo$
531b3o$478b3o50bob2o$478bo2bo50b3o$478bo46bo6b2o$478bo45b3o$479bobo41b
2obo$523b3o7bo$524b2o6b3o$531b2obo$531b3o$532b2o23bo$556b3o$555b2obo$
555b3o$556b2o3$463bo20bo80bo$462bobo18b3o78b3o$420bobo39bobo17b2obo78b
ob2o$420b2o41bo18b3o80b3o$421bo61b2o72b3o5b2o$524b3o15b3o11bo2bo$524bo
2bo14bo2bo13bo$524bo17bo16bo$524bo3bo13bo13bobo$524bo18bobo$525bobo5$
542bo$541b3o$488b3o49b2obo$487bo2bo49b3o$490bo44bo5b2o$490bo43b3o$487b
obo44bob2o$405bo129b3o5bo$404b3o51bo76b2o5b3o$404bob2o49bobo82bob2o$
403b2o52bobo83b3o$403b2o53bo84b2o22bo$403b2o161b3o$407bo158bob2o$406b
2o159b3o$404bobo160b2o$403bo2bo$404bobo$404b3o87bo80bo$404b2obo85b3o
78b3o$404bo2bo85bob2o76b2obo$405bo88b3o76b3o$494b2o71b3o4b2o$534b3o15b
3o12bo2bo$533bo2bo14bo2bo12bo$536bo17bo12bo$532bo3bo17bo13bobo$408bo
127bo14bobo$409b2o122bobo$408b2o2$453bo$452bobo$452bobo97bo$453bo97b3o
$498b3o50bob2o$498bo2bo50b3o$498bo46bo6b2o$498bo45b3o$389bo109bobo41b
2obo$389bobo151b3o7bo$389b2o153b2o6b3o$551b2obo$551b3o$552b2o23bo$576b
3o$575b2obo$575b3o$576b2o3$504bo80bo$503b3o78b3o$502b2obo78bob2o$502b
3o80b3o$503b2o72b3o5b2o$446bo97b3o15b3o11bo2bo$445b3o96bo2bo14bo2bo13b
o$445bob2o95bo17bo16bo$446bo2bo94bo3bo13bo13bobo$447b2o95bo18bobo$447b
o97bobo5$562bo$561b3o$508b3o49b2obo$507bo2bo49b3o$424bo11bo73bo44bo5b
2o$422bobo11bobo71bo43b3o$423b2o11b2o69bobo44bob2o$433bo121b3o5bo$432b
3o120b2o5b3o$431bo2b2o126bob2o$431b3obo127b3o$434b2o127b2o22bo$586b3o$
430bo155bob2o$429bo157b3o$429b3o155b2o$364bobo$364b2o$365bo148bo80bo$
513b3o78b3o$513bob2o76b2obo$514b3o76b3o$514b2o71b3o4b2o$554b3o15b3o12b
o2bo$553bo2bo14bo2bo12bo$556bo17bo12bo$552bo3bo17bo13bobo$556bo14bobo$
553bobo$425bo$424bobo$424bobo$425bo$572bo$571b3o$459bo58b3o50bob2o$
457bobo58bo2bo50b3o$458b2o58bo46bo6b2o$518bo45b3o$431bo87bobo41b2obo$
430bobo130b3o7bo$430b2o132b2o6b3o$571b2obo$571b3o$572b2o23bo$596b3o$
595b2obo$595b3o$596b2o3$524bo80bo$420bo102b3o78b3o$419bobo100b2obo78bo
b2o$419bobo100b3o80b3o$420bo102b2o72b3o5b2o$406bo157b3o15b3o11bo2bo$
404b2o158bo2bo14bo2bo13bo$340bo64b2o157bo17bo16bo$339bo224bo3bo13bo13b
obo$339b3o222bo18bobo$565bobo$426bo$425bobo$425b2o2$582bo$581b3o$528b
3o49b2obo$527bo2bo49b3o$530bo44bo5b2o$530bo43b3o$527bobo44bob2o$575b3o
5bo$575b2o5b3o$415bo166bob2o$414bobo166b3o$414bobo166b2o22bo$415bo56bo
bo131b3o$473b2o131bob2o$473bo133b3o$607b2o3$534bo80bo$421bo111b3o78b3o
$420bobo110bob2o76b2obo$420b2o112b3o76b3o$534b2o71b3o4b2o$574b3o15b3o
12bo2bo$573bo2bo14bo2bo12bo$576bo17bo12bo$572bo3bo17bo13bobo$576bo14bo
bo$573bobo4$410bo$380bo28bobo180bo$380bobo26bobo179b3o$316bo63b2o28bo
127b3o50bob2o$314b2o222bo2bo50b3o$315b2o221bo46bo6b2o$538bo45b3o$539bo
bo41b2obo$374bo208b3o7bo$374b2o208b2o6b3o$376bo39bo174b2obo$374b2o39bo
bo173b3o$373bobo39b2o175b2o23bo$374bo241b3o$372bobo240b2obo$370bo244b
3o$370bobo243b2o3$544bo80bo$300b3o240b3o78b3o$299bo3bo238b2obo78bob2o$
488bo53b3o80b3o$304bo100bo83bo53b2o72b3o5b2o$299b5o100bobo80b3o94b3o
15b3o11bo2bo$300bo103bobo177bo2bo14bo2bo13bo$405bo178bo17bo16bo$584bo
3bo13bo13bobo$300b2o282bo18bobo$300b2o283bobo$300bo$299b2o$297b2obob3o
$303b2o106bo$297bo2bo109bobo189bo$298b3o109b2o189b3o$548b3o49b2obo$
547bo2bo49b3o$550bo44bo5b2o$550bo43b3o$547bobo44bob2o$379bobo213b3o5bo
$380b2o213b2o5b3o$380bo221bob2o$305bobo295b3o$306b2o295b2o22bo$306bo
93bo225b3o$399bobo224bob2o$399bobo225b3o$400bo226b2o3$554bo80bo$350bo
202b3o78b3o$348b2o203bob2o76b2obo$284bo64b2o42bo160b3o76b3o$283bo109bo
12bo147b2o71b3o4b2o$283b3o106bobo10bobo186b3o15b3o12bo2bo$405b2o186bo
2bo14bo2bo12bo$394b2o200bo17bo12bo$592bo3bo17bo13bobo$394b2o200bo14bob
o$278b2o313bobo$278bobo$280bo$278bobo221bo$277bo113b2o110b2o$277bobo
111b3o108b2o108bo$277bo117bo215b3o$276bo116b2o163b3o50bob2o$558bo2bo
50b3o$558bo46bo6b2o$390bobo165bo45b3o$390bobo166bobo41b2obo$391bo211b
3o7bo$604b2o6b3o$611b2obo$611b3o$612b2o23bo$401bo234b3o$400bobo232b2ob
o$400b2o233b3o$636b2o3$564bo80bo$321bo241b3o78b3o$322bo239b2obo78bob2o
$320b3o239b3o80b3o$563b2o72b3o5b2o$604b3o15b3o11bo2bo$604bo2bo14bo2bo
13bo$604bo17bo16bo$376bo227bo3bo13bo13bobo$374b2o228bo18bobo$375b2o
228bobo$286bo37bo$284bobo37bobo$285b2o37b2o2$622bo$621b3o$396bo171b3o
49b2obo$395bobo169bo2bo49b3o$395b2o173bo44bo5b2o$570bo43b3o$567bobo44b
ob2o$615b3o5bo$252bobo263bo96b2o5b3o$252b2o262bobo103bob2o$253bo263b2o
104b3o$623b2o22bo$646b3o$646bob2o$647b3o$647b2o3$574bo80bo$573b3o78b3o
$573bob2o76b2obo$574b3o76b3o$574b2o71b3o4b2o$614b3o15b3o12bo2bo$613bo
2bo14bo2bo12bo$391bo224bo17bo12bo$390bobo219bo3bo17bo13bobo$390b2o224b
o14bobo$613bobo$335bo$336b2o$303b3o29b2o$303bo2bo$303bo2bo325bo$631b3o
$306b2o270b3o50bob2o$305bo2bo42bo226bo2bo50b3o$305bo2bo43b2o224bo46bo
6b2o$305bo40b2o230bo45b3o$299bobo44bo232bobo41b2obo$300b2o46b3o272b3o
7bo$300bo44bo5bo272b2o6b3o$346bo4bo279b2obo$347bo2bo280b3o$349bo282b2o
23bo$344bo311b3o$343bo311b2obo$343b3o309b3o$294bo91bo269b2o$292b2o91bo
bo$228bo64b2o90b2o$227bo303bobo50bo80bo$227b3o302b2o49b3o78b3o$532bo
49b2obo78bob2o$582b3o80b3o$345b2o236b2o72b3o5b2o$345b2o277b3o15b3o11bo
2bo$295bo328bo2bo14bo2bo13bo$294bobo327bo17bo16bo$294bobo327bo3bo13bo
13bobo$295bo328bo18bobo$625bobo5$642bo$301bo339b3o$300bobo285b3o49b2ob
o$300b2o285bo2bo49b3o$590bo44bo5b2o$381bo208bo43b3o$380bobo204bobo44bo
b2o$380b2o253b3o5bo$635b2o5b3o$642bob2o$357bo285b3o$358bo284b2o22bo$
340b2o14b3o307b3o$340b2o324bob2o$290bo376b3o$289bobo375b2o$289bobo$
290bo$594bo80bo$593b3o78b3o$593bob2o76b2obo$594b3o76b3o$320bo273b2o71b
3o4b2o$318b2o314b3o15b3o12bo2bo$296bo22b2o312bo2bo14bo2bo12bo$268bo26b
obo338bo17bo12bo$268bobo24b2o335bo3bo17bo13bobo$204bo63b2o277bo88bo14b
obo$202b2o172bo171bo84bobo$203b2o170bobo168b3o$375b2o3$652bo$651b3o$
335b2o261b3o50bob2o$335b2o261bo2bo50b3o$285bo312bo46bo6b2o$284bobo311b
o45b3o$284bobo312bobo41b2obo$285bo357b3o7bo$644b2o6b3o$651b2obo$651b3o
$652b2o23bo$676b3o$368bo2b2o302b2obo$291bo74b2o307b3o$290bobo74b2o307b
2o$290b2o2$604bo80bo$603b3o78b3o$602b2obo78bob2o$602b3o80b3o$603b2o72b
3o5b2o$644b3o15b3o11bo2bo$644bo2bo14bo2bo13bo$330b2o312bo17bo16bo$330b
2o312bo3bo13bo13bobo$280bo363bo18bobo$279bobo363bobo$279bobo$280bo2$
294bo$294bobo365bo$294b2o365b3o$243bobo362b3o49b2obo$243b2o362bo2bo49b
3o$178bo65bo41bo274bo48bo44bo5b2o$178bobo104bobo274b2o46bo43b3o$178b2o
105b2o274b2o44bobo44bob2o$655b3o5bo$655b2o5b3o$662bob2o$663b3o$663b2o
22bo$686b3o$686bob2o$687b3o$325b2o360b2o$325b2o$275bo$274bobo337bo80bo
$274bobo336b3o78b3o$275bo337bob2o76b2obo$614b3o76b3o$614b2o71b3o4b2o$
268bo73bo311b3o15b3o12bo2bo$266b6o70bobo308bo2bo14bo2bo12bo$266b2o2b2o
70b2o312bo17bo12bo$652bo3bo17bo13bobo$270bo385bo14bobo$266b2o2bo382bob
o$266b2o3bo$270bo$268bobo$269bo$672bo$671b3o$618b3o50bob2o$618bo2bo50b
3o$618bo46bo6b2o$320b2o296bo45b3o$320b2o297bobo41b2obo$663b3o7bo$664b
2o6b3o$671b2obo$671b3o$219bo452b2o23bo$218bo477b3o$218b3o474b2obo$153b
obo421bo117b3o$153b2o420bobo118b2o$154bo421b2o2$624bo80bo$623b3o78b3o$
622b2obo78bob2o$622b3o80b3o$277bo345b2o72b3o5b2o$278bo385b3o15b3o11bo
2bo$276b3o385bo2bo14bo2bo13bo$664bo17bo16bo$664bo3bo13bo13bobo$664bo
18bobo$315b2o348bobo$315b2o4$317bobo362bo$138bo109bo68b2o362b3o$137b3o
106b2o70bo309b3o49b2obo$137bob2o106b2o378bo2bo49b3o$136b2o492bo44bo5b
2o$136b2o492bo43b3o$136b2o489bobo44bob2o$140bo534b3o5bo$139b2o100b2o
432b2o5b3o$137bobo101b2o439bob2o$136bo2bo103bo439b3o$137bobo101b3o439b
2o22bo$137b3o100bobo463b3o$137b2obo100b2o463bob2o$137bo2bo99bo466b3o$
138bo101bo466b2o$238bo2$310b2o322bo80bo$310b2o321b3o78b3o$633bob2o76b
2obo$141bo53bo438b3o76b3o$142b2o49b2o439b2o71b3o4b2o$141b2o51b2o478b3o
15b3o12bo2bo$590bobo80bo2bo14bo2bo12bo$591b2o83bo17bo12bo$591bo80bo3bo
17bo13bobo$676bo14bobo$673bobo4$291bo$122bo169b2o398bo$122bobo166b2o
398b3o$122b2o514b3o50bob2o$638bo2bo50b3o$638bo46bo6b2o$638bo45b3o$639b
obo41b2obo$683b3o7bo$305b2o377b2o6b3o$247bobo43bo11b2o384b2obo$248b2o
42bo398b3o$248bo43b3o397b2o23bo$716b3o$715b2obo$289bo425b3o$288b3o425b
2o$287b2o2bo$291bo$290bo353bo80bo$286bo356b3o78b3o$214bo2bo68bobo353b
2obo78bob2o$214bob2o68b2o354b3o80b3o$216b2o425b2o72b3o5b2o$684b3o15b3o
11bo2bo$684bo2bo14bo2bo13bo$218b2o464bo17bo16bo$218b2o464bo3bo13bo13bo
bo$684bo18bobo$685bobo2$209bo88b2o$157bo11bo39bobo86b2o$155bobo11bobo
37b2o$156b2o11b2o435bo95bo$166bo440bo93b3o$165b3o437b3o40b3o49b2obo$
164bo2b2o478bo2bo49b3o$164b3obo481bo44bo5b2o$167b2o481bo43b3o$647bobo
44bob2o$163bo531b3o5bo$162bo532b2o5b3o$162b3o537bob2o$97bobo603b3o$97b
2o604b2o22bo$98bo627b3o$726bob2o$727b3o$727b2o2$295bo$263bo29b5o356bo
80bo$264bo27b2o2b2o355b3o78b3o$262b3o29bo358bob2o76b2obo$654b3o76b3o$
654b2o71b3o4b2o$158bo535b3o15b3o12bo2bo$157bobo533bo2bo14bo2bo12bo$
157bobo536bo17bo12bo$158bo533bo3bo17bo13bobo$696bo14bobo$228bo464bobo$
226bobo32bobo$227b2o32b2o$262bo2$164bo547bo$163bobo545b3o$163b2o493b3o
50bob2o$658bo2bo50b3o$658bo46bo6b2o$658bo45b3o$659bobo41b2obo$184bobo
516b3o7bo$184b2o101b2o415b2o6b3o$185bo101b2o422b2obo$620bo90b3o$621b2o
89b2o23bo$620b2o114b3o$153bo581b2obo$152bobo580b3o$152bobo581b2o$153bo
$139bo$137b2o525bo80bo$138b2o523b3o78b3o$662b2obo78bob2o$662b3o80b3o$
244bo418b2o72b3o5b2o$159bo83b3o458b3o15b3o11bo2bo$158bobo81bo2b2o457bo
2bo14bo2bo13bo$158b2o82b3o459bo17bo16bo$704bo3bo13bo13bobo$704bo18bobo
$277bo427bobo$242bo35b2o$245bo31b2o$242bo3bo35b2o$243b2ob2o34b2o$722bo
$721b3o$243b2o423b3o49b2obo$148bo93b3o422bo2bo49b3o$147bobo90bo2b2o
425bo44bo5b2o$147bobo90b2o428bo43b3o$148bo91bo426bobo44bob2o$715b3o5bo
$715b2o5b3o$722bob2o$723b3o$723b2o22bo$746b3o$154bo591bob2o$153bobo
591b3o$153b2o75bo516b2o$160bo69bobo$159bo70b2o$159b3o512bo80bo$673b3o
78b3o$636bo36bob2o76b2obo$634bobo37b3o76b3o$635b2o37b2o71b3o4b2o$714b
3o15b3o12bo2bo$713bo2bo14bo2bo12bo$716bo17bo12bo$143bo90b2o476bo3bo17b
o13bobo$113bo28bobo88bobo480bo14bobo$113bobo26bobo89bo478bobo$113b2o
28bo4$732bo$731b3o$678b3o50bob2o$149bo528bo2bo50b3o$148bobo527bo46bo6b
2o$148b2o528bo45b3o$679bobo41b2obo$723b3o7bo$724b2o6b3o$731b2obo$731b
3o$732b2o23bo$756b3o$755b2obo$755b3o$756b2o$138bo90b2o$137bobo88bobo$
137bobo89bo454bo80bo$138bo544b3o78b3o$682b2obo78bob2o$682b3o80b3o$683b
2o72b3o5b2o$724b3o15b3o11bo2bo$724bo2bo14bo2bo13bo$205bobo516bo17bo16b
o$136bo7bo60b2o517bo3bo13bo13bobo$134b2o7bobo60bo517bo18bobo$135b2o6b
2o580bobo2$649bobo$650b2o$650bo$742bo$741b3o$688b3o49b2obo$687bo2bo49b
3o$88bobo599bo44bo5b2o$88b2o600bo43b3o$89bo43bo90b2o461bobo44bob2o$
132bobo88bobo509b3o5bo$132bobo89bo510b2o5b3o$133bo57bo550bob2o$190bobo
550b3o$189b2ob2o549b2o22bo$190bo2bo572b3o$190bo3bo571bob2o$190bo576b3o
$767b2o$139bo$138bobo49b2o$138b2o51bo502bo80bo$693b3o78b3o$188bo504bob
2o76b2obo$188bob2ob2o499b3o76b3o$187b2ob2ob2o499b2o71b3o4b2o$188bobo
543b3o15b3o12bo2bo$189bo543bo2bo14bo2bo12bo$736bo17bo12bo$732bo3bo17bo
13bobo$736bo14bobo$733bobo$128bo90b2o$127bobo88bobo$127bobo89bo$128bo
66bo$196b2o554bo$195b2o554b3o$698b3o50bob2o$698bo2bo50b3o$698bo46bo6b
2o$698bo45b3o$134bo530bo33bobo41b2obo$133bobo530bo76b3o7bo$133b2o529b
3o77b2o6b3o$751b2obo$751b3o$174bo577b2o23bo$174bobo599b3o$64bo109b2o
599b2obo$63bo711b3o$63b3o710b2o3$704bo80bo$123bo90b2o487b3o78b3o$122bo
bo88bobo486b2obo78bob2o$122bobo89bo487b3o80b3o$123bo579b2o72b3o5b2o$
744b3o15b3o11bo2bo$744bo2bo14bo2bo13bo$744bo17bo16bo$744bo3bo13bo13bob
o$744bo18bobo$745bobo$129bo$128bobo$128b2o2$762bo$761b3o$708b3o49b2obo
$707bo2bo49b3o$710bo44bo5b2o$710bo43b3o$204b2o501bobo44bob2o$202b2o3bo
547b3o5bo$207bo547b2o5b3o$118bo83bo15bo543bob2o$117bobo83b2o2bo10b2o
543b3o$117bobo84bo2bo9bobo543b2o22bo$118bo667b3o$232b3o551bob2o$234bo
552b3o$233bo553b2o$247b2o430bo$248b2o430b2o$247bo431b2o33bo80bo$124bo
137b2o449b3o78b3o$123bobo135bobo449bob2o76b2obo$123b2o24bobo111bo450b
3o76b3o$149b2o126bo436b2o71b3o4b2o$40bo109bo126b2o475b3o15b3o12bo2bo$
38b2o236bobo474bo2bo14bo2bo12bo$39b2o715bo17bo12bo$291b3o458bo3bo17bo
13bobo$293bo462bo14bobo$292bo460bobo$306b2o$307b2o$306bo$113bo207b2o$
112bobo205bobo449bo$112bobo207bo448b3o$113bo222bo381b3o50bob2o$336b2o
380bo2bo50b3o$335bobo380bo46bo6b2o$718bo45b3o$350b3o366bobo41b2obo$
352bo410b3o7bo$351bo412b2o6b3o$119bo245b2o404b2obo$118bobo245b2o403b3o
$118b2o245bo406b2o23bo$380b2o414b3o$379bobo413b2obo$381bo413b3o$395bo
400b2o$395b2o$394bobo$724bo80bo$409b3o311b3o78b3o$411bo310b2obo78bob2o
$410bo311b3o80b3o$108bo315b2o297b2o72b3o5b2o$107bobo315b2o337b3o15b3o
11bo2bo$107bobo314bo339bo2bo14bo2bo13bo$108bo330b2o323bo17bo16bo$438bo
bo254bo68bo3bo13bo13bobo$440bo252bobo68bo18bobo$454bo239b2o69bobo$454b
2o$125bo327bobo$124bo$114bo9b3o341b3o$14bo98bobo354bo311bo$14bobo96b2o
354bo311b3o$14b2o467b2o243b3o49b2obo$484b2o241bo2bo49b3o$483bo246bo44b
o5b2o$498b2o230bo43b3o$497bobo227bobo44bob2o$499bo275b3o5bo$513bo261b
2o5b3o$513b2o267bob2o$512bobo268b3o$783b2o22bo$103bo423b3o276b3o$102bo
bo424bo276bob2o$102bobo423bo278b3o$103bo438b2o263b2o$543b2o$542bo$557b
2o175bo80bo$556bobo174b3o78b3o$558bo174bob2o76b2obo$572bo161b3o76b3o$
109bo462b2o160b2o71b3o4b2o$108bobo460bobo200b3o15b3o12bo2bo$108b2o663b
o2bo14bo2bo12bo$586b3o187bo17bo12bo$588bo183bo3bo17bo13bobo$587bo188bo
14bobo$601b2o170bobo$602b2o$601bo$616b2o$615bobo$617bo174bo$631bo159b
3o$98bo532b2o105b3o50bob2o$97bobo530bobo75bobo27bo2bo50b3o$97bobo609b
2o27bo46bo6b2o$98bo546b3o61bo28bo45b3o$647bo91bobo41b2obo$101bo544bo
136b3o7bo$99b2o559b2o122b2o6b3o$100b2o559b2o128b2obo$660bo130b3o$675b
2o115b2o23bo$104bo569bobo139b3o$103bobo570bo138b2obo$103b2o585bo124b3o
$690b2o124b2o$689bobo2$704b3o37bo80bo$706bo36b3o78b3o$705bo36b2obo78bo
b2o$742b3o80b3o$743b2o72b3o5b2o$784b3o15b3o11bo2bo$784bo2bo14bo2bo13bo
$93bo690bo17bo16bo$92bobo689bo3bo13bo13bobo$92bobo689bo18bobo$93bo691b
obo5$802bo$801b3o$99bo648b3o49b2obo$98bobo646bo2bo49b3o$98b2o650bo44bo
5b2o$750bo43b3o$747bobo44bob2o$795b3o5bo$795b2o5b3o$802bob2o$803b3o$
698bo104b2o22bo$696b2o128b3o$697b2o127bob2o$827b3o$88bo738b2o$87bobo$
87bobo$88bo665bo80bo$753b3o78b3o$753bob2o76b2obo$754b3o76b3o$754b2o71b
3o4b2o$794b3o15b3o12bo2bo$793bo2bo14bo2bo12bo$94bo701bo17bo12bo$93bobo
696bo3bo17bo13bobo$93b2o701bo14bobo$793bobo5$812bo$811b3o$758b3o50bob
2o$758bo2bo50b3o$758bo46bo6b2o$83bo674bo45b3o$82bobo674bobo41b2obo$82b
obo718b3o7bo$83bo720b2o6b3o$811b2obo$811b3o$812b2o23bo$836b3o$835b2obo
$835b3o$89bo746b2o$88bobo$88b2o$764bo80bo$763b3o78b3o$762b2obo78bob2o$
672bo89b3o80b3o$672bobo88b2o72b3o5b2o$672b2o130b3o15b3o11bo2bo$804bo2b
o14bo2bo13bo$804bo17bo16bo$804bo3bo13bo13bobo$804bo18bobo$805bobo!


And here's a three-track sequence that cleanly leaves beehives to be burned at leisure. Since there is only one H on each track nothing needs to be rephased, so they can be left close together.

x = 160, y = 201, rule = B3/S23
3$111bo$109b2o$110b2o8$155bo$155bobo$131bo23b2o$131bobo$131b2o29$85bo$
85bobo$85b2o8$130bobo$130b2o$106bobo22bo$106b2o$107bo29$60bobo$60b2o$
61bo6$53b3o$55bo50bo$53b3o49bo$82bo22b3o$54bo26bo$52b3o26b3o$50b3o$51b
2o12$68bo$67b3o$67b3o2$67b4o$66b5o$66b2obo3$67b2o$66bo2$65bobo2bo$60bo
4bob3obo$61b2ob3ob2obo$60b2o3bobo$65b3o$66bo7$81b2o$29bo44bo4bo$29bobo
40bobo4b3o$29b2o42b2o6b2o3$83b2o$83b2o4$74bobo$74b2o$50bobo22bo$50b2o$
51bo29$4bobo$4b2o$5bo7$50bo$49bo$26bo22b3o$25bo$25b3o!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Terminology time!
I think it will be incredibly useful to have the terminology to refer to glider streams in ways that indicate their usability. All glider streams referred to in this post are moving SW.

Over 316 generations, the gliders move 79 cells downward, the ship moves 92 cells upward. This gives 171 cells. Meanwhile, the gliders also move 79 cells to the left, while the ship moves 20 cells to the right, for 99 cells horizontally.

Given two streams, moving either glider stream horizontally by 2 cells doesn't change the way any sideways gliders from the upper will interact with the lower. This gives us a horizontal parity distinction. However, relative to a fixed glider on one stream, the set of identical gliders on the other stream alternate between even and odd horizontal displacement. So I propose we refer to streams by the vertical number of cells between a glider on the left stream up to the nearest identical glider on the right stream that has the same horizontal parity. This will be at most the 8th glider up, and thus gives 342 possibilities, numbered 0-341.

Bad news: in this terminology, the H reaction rephases a glider stream by -95.
95 = 5 * 19
342 = 18 * 19.
THOSE NUMBERS ARE NOT RELATIVELY PRIME >:( There are 19 equivalence classes of glider streams, for which no number of H reactions will bring a stream to a new equivalence class. However, there is hope! Beehives are wondrous things. Any trail of beehives (or other appropriate stills) can be burned at leisure. It's not perfect: each beehive trail has an associated parity. It will either burn only even tracks or only odd tracks. But since the H reaction rephases by -95, it follows that at most 1 extra H is necessary to produce a desired track from beehives.

This approach declared streams that differ by an even horizontal displacement equivalent, but that's not fully true. SW and SE gliders will have the same impact parameter, but any NE or NW glider will have a different impact parameter. So we will have to take care with forward rakes.

Onto discussion of what track the reactions we've found are running on. Input track listed, output only listed if differing mod 19.

3/2 multiplier: The beehive/boat combination happens on track 45. (7 mod 19)
NE forward rake: The boat reaction happens on track 87. (11 mod 19)
NW forward rake: The pair of blocks that lead to NW gliders happens on track 340. (17 mod 19)
NW kickback: ExtremeEnthusiast's back end happens on track 169. (17 mod 19)
NE kickback: A stream can be kicked back to NE gliders on track 263. (16 mod 19)
Suppressing reactions: Track 2 (2 mod 19) and track 302 (17 mod 19)
Teardrop reaction: Freezes track 4 to beehives (4 mod 19)
Beehive laying reaction: Runs on track 31 (12 mod 19), requires suppression to be clean.
TL->beehive below: Input track 217 (8 mod 19), output track 21 (2 mod 19)
x = 247, y = 350, rule = B3/S23
2$241bo$241bobo$241b2o$182bo$180b2o$181b2o38$216bobo$216b2o$217bo$156b
o$156bobo$156b2o37$192bo$191bo$191b3o2$131bobo$131b2o$132bo15$117bo$
116bobo$115b2ob2o$116bo2bo$116bo3bo$116bo3$116b2o$117bo2$114bo$114bob
2ob2o$113b2ob2ob2o$114bobo$115bo7$168bo$121bo44b2o$122b2o43b2o$121b2o
10$100bo$100bobo$100b2o28$142bo$137bo4bobo$135bobo4b2o$136b2o7$131bo$
131bo$131bo$75bobo$75b2o50b3o3b3o$76bo$131bo$131bo$131bo7$123bo$123bob
o$123b2o7$125b3o2$123bo5bo$123bo5bo$123bo5bo2$125b3o15$51bo$50bo70bo$
50b3o68bo$121bo2$117b3o3b3o2$121bo$121bo$121bo4$98bobo$98b2o$99bo10$
115b3o2$113bo5bo$113bo5bo$113bo5bo$84bo$83bobo29b3o$82b2ob2o$83bo2bo$
83bo3bo$83bo3$83b2o$84bo2$81bo$81bob2ob2o$27bo52b2ob2ob2o$25b2o54bobo$
26b2o54bo2$111bo$111bo$111bo2$107b3o3b3o2$88bo22bo$89b2o20bo$88b2o21bo
10$67bo$67bobo$67b2o4$105b3o2$103bo5bo$103bo5bo$103bo5bo2$105b3o9$bo$b
obo$b2o2$98b3o$95b5ob2o$94bobo4b2o$94bobobo2bo$95bob2o2bo$99b2o$99bo4b
3o12$42bobo$42b2o$43bo7$97bo$96bobo$96bobo$97bo!


Other notes:
The NE rake + stream reaction I said would be helpful rephases a track by +46 (+8 mod 19). It's much more expensive to pull off though, because the forward rake is nontrivial to construct and hard to repeat.

There is a lot more freedom when considering the interactions between a NW or NE rake and SE gliders - given a track capable of producing a NE rake, we can put any SE glider stream through any 90 degree reaction, up to parity. That's how I kicked back the SE gliders in my more developed front. I would have made beehives but the parity was wrong.

Finding more repeatable forward rakes is a high priority, I say. Also, if anyone wants to look for a helix that's cheaper by laying beehives instead of gliders that would be pretty nice. It could even be p79, if it were LWSS only. (The only possible syntheses for MWSS break down when trying to merge two p158 streams into one p79 stream - I haven't tried HWSS but assume it's no easier than MWSS).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

While southward glider collisions only depend on which track of 342 is running, many things require control horizontally as well. I was trying to use the beehive laying reaction to make the proper third track to suppress the gliders afterward, but as it turns out, the easiest creation of the track makes gliders crash into any beehives the first reaction sets down!

When burning beehives, since they are placed every (23,5), we only get control of the first gliders' horizontal position in steps of 18. That is, if we can create track N at a horizontal distance x, then we can also create it at any horizontal distance x + 18m. But if the track is crashing into stills, that will change nothing, because the (1,1) gliders will simply run into the next still instead.

Each H moves a possible stream left by 3 cells. So if you burn track N + 190 instead, and then use 2H to bring it to track N, it moves the horizontal stream to the left by 6. The good news is this can help avoid stills, but since we again have two numbers not relatively prime, it won't fix everything. I'm trying to make a p158 LWSS side rake on the 31, 2 trio I have been able to create from the helix, and I have everything except the source for a SW glider stream. The only beehives I can lay are 2 cells too far to the right, which can't be fixed with H reactions. (Because the beehive-laying track itself uses H reactions, it can only lay tracks that differ by 3 horizontally).

x = 303, y = 433, rule = B3/S23
2$226bo$224b2o$225b2o8$280bo$280bobo$258bo21b2o$258bobo$258b2o29$200bo
$200bobo$200b2o8$255bobo$255b2o$233bobo20bo$233b2o$234bo15$181b3o$181b
o2bo$179bo4bo2$179bo$180bo$181b2obo$182bo2bo$182b2o$183bo2bo$186bo$
182bo$185bo$182b3o10$170bo60bo$168b2o60bo$169b2o38bo20b3o$208bo$208b3o
5$203b2o$203bobo$205bo$203bobo$202bo$202bobo$202bo$201bo12$212b3o$198b
o12bo2bo$197bobo11b2obo$197bobo$198bo2$211b2o$211b4o$212bo2bo$213bobo$
213bobo3$215bo$212bo2bo$142bo68b5o$141bob2o64bo2bo$143b2o65b2o$142b3o
2$146b2o$145b3o3$138bo54bo$137bo54bobo4bobo$137b3o52bobo4b2o$177bobo
13bo6bo$177b2o$178bo17$121b3o$120bo2bo38bo25bo$124bo36b3o23bobo$120b2o
39bob2o22bobo$120b2o3bo34b2o26bo$125bo34b2o$123bo36b2o$121b3o40bo$121b
2o40b2o$121bo31bo7bobo$122b2o30bo5bo2bo$122bobo27b3o6bobo$121bo3bo35b
3o$122b2o37b2obo$161bo2bo$162bo4$126bo$124bobo$125b2o38bo8bo$166b2o6b
2o$165b2o7b3o$174b2o7bo$174b2o6bobo$175bo6bobo$176bobo4bo$177bo3$106bo
bo59bo$106b2o60bobo$107bo38bo21b2o$146bobo123bo$146b2o124bobo$272b2o$
155bo$154bobo$154bobo$155bo7$178bo$177bobo$177bobo$178bo$175bo$174b3o$
173bo2b2o$173b3obo$176b2o2$172bo$171bo$171b3o$150bo$149bobo$139bobo7bo
bo$140b2o8bo$140bo9$82bo$81bo61bobo$81b3o59b2o$121bobo20bo$121b2o124bo
bo$122bo124b2o$248bo$117b3o$116bo2bo$116b2o2bo11bobo$119b2o11bo2bo9bo$
131bo3b2o7bobo$116bo14bo12bobo$114b2o29bo$115b2o14bo2b3o$131b2o50bo$
133b3o48bo$133b3o46b3o5$153b2o$154b2o$153bo$168b2o$167bobo$169bo16$58b
o66bo$56b2o68b2o$57b2o66b2o$223bo$183b2o37bo$183b2o37b3o5$112bo$112bob
o$90bo21b2o$90bobo$90b2o29$32bo108bo$32bobo104bobo$32b2o106b2o$199bo$
197b2o$198b2o2$173b2o$173b2o2$87bobo$87b2o$65bobo20bo$65b2o$66bo29$7bo
bo144bobo$7b2o146b2o$8bo146bo$173bo$173bobo$173b2o4$63bo$62bo100b2o$
41bo20b3o98b2o$40bo$40b3o39$39bo$37b2o$17bo20b2o$15b2o203b2o$16b2o201b
4o$219b2ob2o18bo$221b2o20bo$241b3o!


It gets worse.. The 2g->TL+g reaction repositions a stream by 9, and the 180 glider collision that outputs a glider repositions by 6.

We need a g+still->beehive reaction, ideally a slow (N*g)+beehive->beehive reaction that puts the beehive at a different place. Otherwise I will look into double kickback reactions, but that requires coordinating 3 things, which could in turn require some form of repositioning. Alternatively we could try to make 3 different 31 tracks that each service a different congruence class mod 3, but that might require some strange support to initialize.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

There's always this: TL intermediate, puts the beehive up 3 and left 5. Taking mod (1,1) for gliders we get a horizontal shift of 2! And it's almost completely slow, just requires timing around the p2 TL.

x = 29, y = 26, rule = B3/S23
$2bo$3b2o$2b2o16$22bo$23bo$21b3o$26bo$25bobo$25bobo$26bo!


And the same reaction from a different angle gives us a horizontal shift of 4.

x = 19, y = 26, rule = B3/S23
$17bo$15b2o$16b2o16$bo$2bo$3o$5bo$4bobo$4bobo$5bo!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Edit: Consolidated all these posts into one big one. Not sure which is preferable but I've been the only one posting for a while and usually anti-double-posting etiquette says to edit rather than reply.
Last edited by biggiemac on October 3rd, 2014, 11:50 pm, edited 2 times in total.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » September 30th, 2014, 12:56 am

I can't edit that one anymore, 60k character cap has been reached! I'll keep adding to one post at a time until there are other people responding. Anyway..

Trying to use the TL trick to set up beehives as I need them. Not completely optimized but close I think. It repositions beehives by 4 to the right. Next up will be a complete p158 LWSS side rake.

x = 273, y = 581, rule = B3/S23
x = 223, y = 439, rule = B3/S23
7$184bobo$184b2o$185bo6$177b3o$179bo$177b3o$218bo$178bo38bo$176b3o38b
3o$174b3o$175b2o25$184bo$185b2o$184b2o3$197b3o$196bo2bo$196b2obo$200b
2o$200b2o$199bo2bo$198bo$153bo44b3o15bo$153bobo43bo14b2o$153b2o60b2o5$
209b2o$209b2o$211bo$209b3o$208bobo$186bobo20b2o$186b2o20bo$187bo20bo$
206bo5$191bo$190bobo$190bobo$191bo6$134b3o$134bo2bo$132bo4bo2$132bo$
133bo$134b2obo$135bo2bo$135b2o$136bo2bo$139bo$135bo$138bo$135b3o$186bo
$185bobo$185bobo$186bo6$123bo60bo$121b2o60bo$122b2o38bo20b3o$161bo$
161b3o5$156b2o$156bobo$158bo$156bobo$155bo$155bobo23bo$155bo24bobo$
154bo25bobo$181bo11$165b3o$151bo12bo2bo$150bobo11b2obo$150bobo$151bo2$
164b2o$164b4o$165bo2bo$166bobo7bo$166bobo6bobo$175bobo$176bo$168bo$
165bo2bo$95bo68b5o$94bob2o64bo2bo$96b2o65b2o$95b3o2$99b2o$98b3o3$91bo
54bo$90bo54bobo4bobo$90b3o52bobo4b2o$130bobo13bo6bo$130b2o$131bo3$171b
o$170bobo$170bobo$171bo12$115bo25bo$114b3o23bobo$114bob2o22bobo$113b2o
26bo$113b2o$113b2o$117bo$116b2o$106bo7bobo49bo$107bo5bo2bo48bobo$105b
3o6bobo48bobo$114b3o49bo$114b2obo$114bo2bo$115bo6$67bo50bo8bo$65b2o52b
2o6b2o$66b2o50b2o7b3o$127b2o7bo$127b2o6bobo$128bo6bobo$129bobo4bo$130b
o3$121bo$121bobo37bo$99bo21b2o37bobo$99bobo58bobo$99b2o60bo2$108bo$
107bobo$107bobo$108bo7$131bo$130bobo$130bobo$131bo5$156bo$155bobo$155b
obo$156bo2$103bo$102bobo$102bobo$103bo$41bo$41bobo$41b2o4$126bo$125bob
o$125bobo$126bo$96bobo$96b2o$74bobo20bo$74b2o$75bo75bo$150bobo$150bobo
$27bo123bo$25b2ob2o$25b2ob2o68bo$26bob3o66bobo$25b3o69bobo$98bo3$26b2o
$26b2o2$25bo$24bob2ob2o29bo60bo$23b2o4b2o28bobo58bobo$23b2ob2o30b2ob2o
57bobo$25bo33bo2bo58bo$59bo3bo$59bo3$59b2o85bo$60bo84bobo$145bobo$32bo
24bo88bo$33bo23bob2ob2o$31b3o22b2ob2ob2o29bo$57bobo32bobo$58bo33bobo$
93bo7$11bo52bo5bo2bo$9b2o54b2o3bob2o$10b2o52b2o6b2o$113b2o$111bo$74b2o
35b3o$5b3o66b2o37b2o$5bo2bo$5bo2bo132bo$4b4o107b2o23bobo$4b2o59bo49b2o
23bobo$3bo61bobo73bo$4bo38bo21b2o$4bo38bobo42bo$43b2o42bobo16bobo$87bo
bo16b2o$88bo18bo13$29bo$27b2ob2o$27b2ob2o14bo89bo$28bob3o14b2o86bobo$
27b3o16b2o87bobo$136bo2$83bo$28b2o52bobo$28b2o52bobo$83bo$27bo$12bobo
11bob2ob2o$13b2o10b2o4b2o$13bo11b2ob2o$27bo$123bobo$124b2o$124bo5$34bo
5b3o$35bo7bo$33b3o4b3o88bo$130bobo$82bo47bobo$43b2o36bo49bo$43b2o36b3o
$78bo$77bobo$77bobo$35bo42bo$33b2o$13bo20b2o$11b2o$12b2o8$62bo$60bobo$
61b2o2$79bo$79bo44b2o$79bo44b2o2$75b3o3b3o$28bo$29bo49bo$27b3o49bo$79b
o16$73b3o43b2o$119b2o$71bo5bo$9bo61bo5bo$9bobo59bo5bo$9b2o$73b3o9$75bo
bo$76b2o$76bo5$69bo$69bo44b2o$42bo26bo44b2o$43b2o$42b2o21b3o3b3o2$69bo
$69bo$69bo!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Bad news: the shift by 4 was in the wrong direction, I flipped something in x when testing which gave me false hope, and then when I actually tried it out I was still wrong. But here is another reaction that should also be easy and which shifts by 4 (actually 7, but an H can fix that) to the left.

x = 10, y = 11, rule = B3/S23
o$b2o$2o5$3bo4bo$4bo2bobo$2b3o2bobo$8bo!


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Better news, this one is incredibly easy to make!

x = 156, y = 218, rule = B3/S23
2$96bo$96bobo$96b2o8$151bobo$151b2o$129bobo20bo$129b2o$130bo15$77b3o$
77bo2bo$75bo4bo2$75bo$76bo$77b2obo$78bo2bo$78b2o$79bo2bo$82bo$78bo$81b
o$78b3o10$67bo59bo$67bo58bo$61b2o42bo20b3o$61bob2o39bo$64b2o38b3o$64bo
bo$61bo3b2o$65bo2$99b2o$58bobo38bobo$58b2o41bo$59bo39bobo$98bo$98bobo$
98bo$97bo12$108b3o$94bo12bo2bo$93bobo11b2obo$93bobo$94bo2$107b2o$107b
4o$108bo2bo$109bobo$109bobo3$71bobo37bo$72b2o34bo2bo$72bo34b5o$105bo2b
o$106b2o7$32bo2bo53bo$32bob2o52bobo4bobo$34b2o52bobo4b2o$73bobo13bo6bo
$73b2o$36b2o36bo$36b2o4$27bo$27bobo$27b2o12$79b2o3b2o$78bo2bo2b2o$78bo
2bo$79b2o11$53bo$52b3o$51bo2b2o$46bo8bo$44bobo8b2o$45b2o10bo13bo$54b4o
12bo$54b2o14b3o2$74b2o3b2o$73bo2bo2b2o$73bo2bo$74b2o2$60bo2b2o$2bobo
59b2o$2b2o59b2o$3bo38bo$42bobo14b2o2b2o$42b2o21bo$59b4o$61bo2bo2$37b2o
$37bob2o$39b2o$37b2o$35b2o2$35bobo$36bo2$69b2o3b2o$68bo2bo2b2o$68bo2bo
$69b2o6$46b3o$46bo2bo$45bo3bo$45b4o$46bo5$46b2ob2o$46bob3o5$45b2ob3o$
45b4obo$44b2o2b2o9$34bo$32b2o$12bo20b2o$10b2o$11b2o!


Now for real, I will have a p158 LWSS side rake next.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

It's done! And to prove it can be synthesized from scratch, here is helix to LWSS rake.

x = 823, y = 1111, rule = B3/S23
460b2o$459bo3$451bo$451bo$448bob2o23bo$448bobo23b3o$448b3o22b2obo$473b
3o$453bo20b2o$451b2o$452b2o$483bo$482b3o$482bob2o$483b3o$475b3o5b2o$
442b3o15b3o11bo2bo$442bo2bo14bo2bo13bo$442bo17bo16bo$442bo3bo13bo13bob
o$442bo18bobo$443bobo5$460bo$459b3o$458b2obo$458b3o$453bo5b2o$452b3o$
452bob2o$453b3o5bo$453b2o5b3o$460bob2o$461b3o$461b2o22bo$484b3o$484bob
2o$485b3o$485b2o3$493bo$492b3o$491b2obo$491b3o$485b3o4b2o$452b3o15b3o
12bo2bo$451bo2bo14bo2bo12bo$454bo17bo12bo$450bo3bo17bo13bobo$454bo14bo
bo$451bobo2$427bo$426bobo$426bo2bo$427b2o41bo$469b3o$469bob2o$470b3o$
463bo6b2o$462b3o$461b2obo$461b3o7bo$420bo41b2o6b3o$419bobo47b2obo$418b
2ob2o46b3o$419bo2bo47b2o23bo$419bo3bo70b3o$419bo73b2obo$493b3o$494b2o$
419b2o$420bo$503bo$417bo84b3o$417bob2ob2o78bob2o$416b2ob2ob2o79b3o$
417bobo75b3o5b2o$418bo43b3o15b3o11bo2bo$462bo2bo14bo2bo13bo$462bo17bo
16bo$462bo3bo13bo13bobo$462bo18bobo$463bobo3$424bo$425b2o$424b2o54bo$
479b3o$478b2obo$478b3o$473bo5b2o$472b3o$472bob2o$473b3o5bo$473b2o5b3o$
480bob2o$403bo77b3o$403bobo75b2o22bo$403b2o99b3o$504bob2o$505b3o$505b
2o3$432bo80bo$431b3o78b3o$431bob2o76b2obo$432b3o76b3o$432b2o71b3o4b2o$
472b3o15b3o12bo2bo$471bo2bo14bo2bo12bo$474bo17bo12bo$470bo3bo17bo13bob
o$474bo14bobo$426bo44bobo$425bobo$425bobo$426bo2$490bo$489b3o$436b3o
50bob2o$436bo2bo50b3o$436bo46bo6b2o$436bo45b3o$437bobo41b2obo$481b3o7b
o$482b2o6b3o$489b2obo$489b3o$490b2o23bo$514b3o$513b2obo$513b3o$514b2o
2$380b2o$380bobo59bo80bo$382b2o57b3o78b3o$380bobo57b2obo78bob2o$380bo
37b2o20b3o80b3o$380bo2bo33bo2bo20b2o72b3o5b2o$416b3o63b3o15b3o11bo2bo$
382b2o98bo2bo14bo2bo13bo$418bobo61bo17bo16bo$482bo3bo13bo13bobo$421bo
60bo18bobo$420b2o61bobo$373bo$371b2o$372b2o38bo$411bo$411b3o86bo$499b
3o$446b3o49b2obo$445bo2bo49b3o$448bo44bo5b2o$448bo43b3o$445bobo44bob2o
$493b3o5bo$493b2o5b3o$500bob2o$501b3o$501b2o22bo$399bo124b3o$398b3o
123bob2o$401bo123b3o$399b2o124b2o$400bo2$452bo80bo$451b3o78b3o$451bob
2o76b2obo$452b3o76b3o$452b2o71b3o4b2o$492b3o15b3o12bo2bo$491bo2bo14bo
2bo12bo$494bo17bo12bo$490bo3bo17bo13bobo$394b2o98bo14bobo$393b3o95bobo
$394b3o32bo$396b2o32bo$397bo30b3o2$510bo$509b3o$456b3o50bob2o$456bo2bo
50b3o$456bo46bo6b2o$456bo45b3o$347bo58bo50bobo41b2obo$347bobo54bobo94b
3o7bo$347b2o56b2o95b2o6b3o$509b2obo$509b3o$510b2o23bo$534b3o$533b2obo$
533b3o$534b2o3$380bobo79bo80bo$380b2o10bo68b3o78b3o$381bo9bobo66b2obo
78bob2o$391bobo66b3o80b3o$392bo68b2o72b3o5b2o$502b3o15b3o11bo2bo$502bo
2bo14bo2bo13bo$502bo17bo16bo$502bo3bo13bo13bobo$502bo18bobo$503bobo5$
520bo$519b3o$328b3o135b3o49b2obo$328bo2bo133bo2bo49b3o$326bo4bo136bo
44bo5b2o$468bo43b3o$326bo116bo21bobo44bob2o$327bo116b2o67b3o5bo$328b2o
bo111b2o68b2o5b3o$329bo2bo54bo132bob2o$329b2o55bobo132b3o$330bo2bo52bo
bo132b2o22bo$333bo53bo156b3o$329bo214bob2o$332bo212b3o$329b3o48b2o163b
2o$379b3o37bobo$379bo2bo37b2o$379b2ob2o36bo51bo80bo$379b2ob2o87b3o78b
3o$378b2ob2o88bob2o76b2obo$379bo92b3o76b3o$380b3o89b2o71b3o4b2o$381bo
130b3o15b3o12bo2bo$511bo2bo14bo2bo12bo$317bo196bo17bo12bo$315b2o193bo
3bo17bo13bobo$316b2o38bo157bo14bobo$355bo155bobo$355b3o$371bo$371bo$
370bobo$530bo$350b2o20b2o155b3o$350bobo123b3o50bob2o$352bo19b2o102bo2b
o50b3o$350bobo123bo46bo6b2o$349bo126bo45b3o$349bobo125bobo41b2obo$349b
o171b3o7bo$348bo20b2o151b2o6b3o$369b3o157b2obo$373bo155b3o$371b2o157b
2o23bo$554b3o$553b2obo$368bobo18bo163b3o$368bobo16bobo164b2o$369bo18b
2o69bo$457bobo$458b2o22bo80bo$481b3o78b3o$359b3o118b2obo78bob2o$345bo
12bo2bo118b3o80b3o$344bobo11b2obo119b2o72b3o5b2o$344bobo30bo144b3o15b
3o11bo2bo$345bo32bo143bo2bo14bo2bo13bo$376b3o56bo86bo17bo16bo$358b2o
76bo85bo3bo13bo13bobo$358b4o72b3o85bo18bobo$359bo2bo160bobo$360bobo$
360bobo3$362bo177bo$359bo2bo176b3o$289bo68b5o123b3o49b2obo$288bob2o64b
o2bo125bo2bo49b3o$290b2o65b2o129bo44bo5b2o$289b3o196bo43b3o$485bobo44b
ob2o$293b2o238b3o5bo$292b3o238b2o5b3o$540bob2o$541b3o$285bo54bo200b2o
22bo$284bo54bobo4bobo215b3o$284b3o52bobo4b2o216bob2o$324bobo13bo6bo
217b3o$324b2o239b2o$325bo2$492bo80bo$491b3o78b3o$491bob2o76b2obo$492b
3o76b3o$492b2o71b3o4b2o$532b3o15b3o12bo2bo$402bobo126bo2bo14bo2bo12bo$
272bo130b2o129bo17bo12bo$271b3o129bo68bobo55bo3bo17bo13bobo$274bo198b
2o59bo14bobo$272b2o199bo57bobo$273bo4$391bo158bo$309bo25bo56b2o155b3o$
308b3o23bobo54b2o56bo46b3o50bob2o$308bob2o22bobo113b2o44bo2bo50b3o$
307b2o26bo113b2o45bo46bo6b2o$307b2o187bo45b3o$307b2o188bobo41b2obo$
311bo229b3o7bo$310b2o230b2o6b3o$300bo7bobo238b2obo$270bo30bo5bo2bo238b
3o$270bo28b3o6bobo239b2o23bo$308b3o263b3o$308b2obo261b2obo$308bo2bo
261b3o$309bo264b2o3$502bo80bo$279bo221b3o78b3o$277bobo220b2obo78bob2o$
278b2o32bo8bo178b3o80b3o$313b2o6b2o178b2o72b3o5b2o$312b2o7b3o218b3o15b
3o11bo2bo$321b2o7bo211bo2bo14bo2bo13bo$321b2o6bobo210bo17bo16bo$322bo
6bobo210bo3bo13bo13bobo$323bobo4bo211bo18bobo$324bo218bobo3$253bobo59b
o$253b2o60bobo$254bo38bo21b2o101bo141bo$293bobo123bo139b3o$293b2o122b
3o68bo17b3o49b2obo$489bo15bo2bo49b3o$302bo184b3o18bo44bo5b2o$301bobo
204bo43b3o$242bobo56bobo201bobo44bob2o$242bo2bo56bo250b3o5bo$241bo3b2o
306b2o5b3o$241bo318bob2o$407bo153b3o$241bo2b3o158bobo153b2o22bo$241b2o
163b2o57bo118b3o$243b3o217bobo118bob2o$243b3o79bo138b2o119b3o$324bobo
258b2o$324bobo$325bo$512bo80bo$511b3o78b3o$511bob2o76b2obo$512b3o76b3o
$512b2o71b3o4b2o$552b3o15b3o12bo2bo$551bo2bo14bo2bo12bo$554bo17bo12bo$
550bo3bo17bo13bobo$296b2o256bo14bobo$298bo252bobo$292bo5bo$293b2ob2o$
293bo2$570bo$569b3o$516b3o50bob2o$516bo2bo50b3o$320bo195bo46bo6b2o$
251bo67bobo194bo45b3o$252b2o65bobo195bobo41b2obo$251b2o67bo240b3o7bo$
290bobo269b2o6b3o$290b2o277b2obo$268bobo20bo140bo136b3o$268b2o163b2o
135b2o23bo$269bo162b2o68bo91b3o$503b2o88b2obo$264b3o235b2o89b3o$263bo
2bo327b2o$263b2o2bo$222bo43b2o$222bobo62b2o3b2o228bo80bo$222b2o39bo22b
o2bo2b2o227b3o78b3o$261b2o23bo2bo130bobo97b2obo78bob2o$262b2o23b2o132b
2o97b3o80b3o$421bo56bobo40b2o72b3o5b2o$479b2o81b3o15b3o11bo2bo$479bo
82bo2bo14bo2bo13bo$562bo17bo16bo$562bo3bo13bo13bobo$315bo246bo18bobo$
314bobo246bobo$314bobo$315bo$274bo$273b3o$272bo2b2o303bo$272bo3bo302b
3o$274bobo249b3o49b2obo$525bo2bo49b3o$271b2ob2o252bo44bo5b2o$247bo25bo
254bo43b3o$246b3o276bobo44bob2o$246bo2bo323b3o5bo$248b2o32b2o3b2o284b
2o5b3o$248bo24b4o4bo2bo2b2o291bob2o$245b2o26bobobo3bo2bo296b3o$245b4o
27bo5b2o297b2o22bo$246bo2bo354b3o$247bo356bob2o$246bo358b3o$245b2o20bo
9bo327b2o$244bo5bo14bobo9bo$244b2o3b2o15b2o8bo33bo$245b2o62bobo220bo
80bo$309bobo219b3o78b3o$310bo137bo82bob2o76b2obo$446bobo83b3o76b3o$
447b2o69bo13b2o71b3o4b2o$516bobo53b3o15b3o12bo2bo$517b2o52bo2bo14bo2bo
12bo$574bo17bo12bo$259b2o309bo3bo17bo13bobo$197bobo50bobo5bo2bo312bo
14bobo$197b2o52b2o4b3o311bobo$198bo52bo184bo$259bobo175bo$277b2o3b2o
151b3o56bo$262bo13bo2bo2b2o211bo$261b2o13bo2bo213b3o94bo$277b2o310b3o$
536b3o50bob2o$253bo282bo2bo50b3o$252bo283bo46bo6b2o$231bo20b3o281bo45b
3o$230bo306bobo41b2obo$230b3o72bo275b3o7bo$304bobo275b2o6b3o$304bobo
282b2obo$305bo283b3o$590b2o23bo$614b3o$613b2obo$613b3o$614b2o3$542bo
80bo$541b3o78b3o$270bo269b2obo78bob2o$269bobo268b3o80b3o$269bobo269b2o
72b3o5b2o$270bo311b3o15b3o11bo2bo$582bo2bo14bo2bo13bo$582bo17bo16bo$
582bo3bo13bo13bobo$582bo18bobo$583bobo2$300bo160bobo$299bobo160b2o$
299bobo160bo68bobo$300bo231b2o66bo$532bo66b3o$546b3o49b2obo$173bo371bo
2bo49b3o$172bo375bo44bo5b2o$172b3o373bo43b3o$450bo94bobo44bob2o$451b2o
140b3o5bo$450b2o56bo84b2o5b3o$509b2o89bob2o$167b2o96bo242b2o91b3o$167b
obo94bobo334b2o22bo$169bo94bobo357b3o$167bobo59bo35bo358bob2o$166bo60b
2o396b3o$166bobo38bo20b2o395b2o$166bo38b2o$165bo40b2o$552bo80bo$551b3o
78b3o$295bo255bob2o76b2obo$294bobo255b3o76b3o$294bobo255b2o71b3o4b2o$
295bo296b3o15b3o12bo2bo$591bo2bo14bo2bo12bo$594bo17bo12bo$590bo3bo17bo
13bobo$594bo14bobo$591bobo5$260bo349bo$259bobo347b3o$259bobo294b3o50bo
b2o$260bo295bo2bo50b3o$556bo46bo6b2o$556bo45b3o$477bo79bobo41b2obo$
478bo122b3o7bo$476b3o68bo54b2o6b3o$548bo60b2obo$290bo255b3o60b3o$175bo
113bobo318b2o23bo$173bobo113bobo342b3o$174b2o11bo102bo342b2obo$186b3o
444b3o$185b2o2bo444b2o$185bo280bo$185b3o276bobo$185b2obo276b2o57bo37bo
80bo$186bob2o332bobo36b3o78b3o$186b2o335b2o35b2obo78bob2o$187bob2o369b
3o80b3o$186b2ob2o370b2o72b3o5b2o$141bobo42b2ob2o12bo51bo346b3o15b3o11b
o2bo$141b2o45bo14bobo48bobo345bo2bo14bo2bo13bo$142bo60b2o49bobo345bo
17bo16bo$255bo346bo3bo13bo13bobo$602bo18bobo$603bobo$198b2o$198bob2o$
200b2o$198b2o$196b2o87bo334bo$175bo108bobo332b3o$174bo21bobo85bobo279b
3o49b2obo$174b3o20bo87bo279bo2bo49b3o$568bo44bo5b2o$568bo43b3o$565bobo
44bob2o$613b3o5bo$613b2o5b3o$180bo439bob2o$126bo52bobo439b3o$125b3o51b
obo439b2o22bo$125bob2o51bo463b3o$124b2o124bo393bob2o$124b2o123bobo393b
3o$124b2o123bobo393b2o$128bo121bo240bo$127b2o363b2o$125bobo363b2o68bo
10bo80bo$124bo2bo434b2o7b3o78b3o$125bobo433b2o8bob2o76b2obo$125b3o444b
3o76b3o$125b2obo443b2o71b3o4b2o$125bo2bo151bo331b3o15b3o12bo2bo$126bo
152bobo329bo2bo14bo2bo12bo$279bobo332bo17bo12bo$280bo198bobo128bo3bo
17bo13bobo$480b2o132bo14bobo$480bo56bobo71bobo$538b2o$129bo408bo$130b
2o$129b2o44bo$174bobo453bo$174bobo452b3o$175bo400b3o50bob2o$245bo330bo
2bo50b3o$244bobo329bo46bo6b2o$244bobo329bo45b3o$245bo331bobo41b2obo$
621b3o7bo$622b2o6b3o$111bo61bo455b2obo$112b2o57b2o456b3o$106b2o44bo19b
2o456b2o23bo$106bo45bo501b3o$108b3o35b2o127bo377b2obo$105bo5bo34bob2o
124bobo376b3o$106bo4bo37b2o123bobo377b2o$107bo2bo38bobo123bo$109bo36bo
3b2o$104bo45bo431bo80bo$103bo477b3o78b3o$103b3o474b2obo78bob2o$143bobo
434b3o80b3o$143b2o25bo410b2o72b3o5b2o$144bo24bobo450b3o15b3o11bo2bo$
169bobo450bo2bo14bo2bo13bo$170bo451bo17bo16bo$240bo266bo114bo3bo13bo
13bobo$239bobo263bobo114bo18bobo$157bo81bobo264b2o69bo45bobo$156b3o81b
o334bobo$156bo2bo416b2o$158b2o$158bo$155b2o483bo$155b4o480b3o$142bo13b
o2bo335bo90b3o49b2obo$141bobo13bo112bo225bo88bo2bo49b3o$141bobo12bo
112bobo222b3o56bo34bo44bo5b2o$142bo12b2o112bobo282bo33bo43b3o$154bo5bo
109bo281b3o30bobo44bob2o$154b2o3b2o472b3o5bo$155b2o476b2o5b3o$640bob2o
$641b3o$641b2o22bo$165bo498b3o$164bobo497bob2o$164bobo498b3o$165bo499b
2o$117bo117bo$118bo115bobo$116b3o115bobo355bo80bo$235bo355b3o78b3o$
591bob2o76b2obo$592b3o76b3o$592b2o71b3o4b2o$632b3o15b3o12bo2bo$631bo2b
o14bo2bo12bo$137bo496bo17bo12bo$136bobo126bo364bo3bo17bo13bobo$136bobo
125bobo367bo14bobo$80bo56bo3bo122bobo364bobo$78b2o60bo17bo106bo$79b2o
38bo20b3o14b3o$118bo37bo2b2o$118b3o35b3o$650bo$649b3o$596b3o50bob2o$
156bo363bobo73bo2bo50b3o$159bo361b2o73bo46bo6b2o$156bo3bo360bo68bobo3b
o45b3o$157b2ob2o68bo360b2o4bobo41b2obo$229bobo359bo49b3o7bo$229bobo
410b2o6b3o$230bo418b2obo$159bo489b3o$160b2o488b2o23bo$159b2o348bo164b
3o$510b2o161b2obo$509b2o56bo105b3o$132bo435b2o104b2o$131bobo126bo306b
2o$131bobo125bobo$132bo126bobo340bo80bo$260bo340b3o78b3o$600b2obo78bob
2o$600b3o80b3o$144bo456b2o72b3o5b2o$144bobo495b3o15b3o11bo2bo$144b2o
496bo2bo14bo2bo13bo$100b3o539bo17bo16bo$99bo2bo28bo510bo3bo13bo13bobo$
99b2obo29b2o508bo18bobo$131b2o510bobo$225bo$224bobo$99b2o123bobo$99b4o
16b3o103bo$100bo2bo14bo2bo538bo$101bobo14bo4bo470bo64b3o$101bobo19bo
469bobo10b3o49b2obo$123b2o467bo2bo9bo2bo49b3o$120bob2o469b2o13bo44bo5b
2o$54bo48bo17bo5bo480bo43b3o$54bobo44bobo22bobo126bo349bobo44bob2o$54b
2o46b2o22bobo16bo108bobo396b3o5bo$127bo17b2o71bo35bobo396b2o5b3o$144bo
bo70b3o35bo404bob2o$217bo2bo440b3o$159b3o57b2o440b2o22bo$161bo57bo316b
o147b3o$160bo55b2o319bo146bob2o$216b4o315b3o147b3o$109bobo105bo2bo464b
2o$109b2o107bo$87bobo20bo106bo$87b2o127b2o394bo80bo$88bo126bo5bo389b3o
78b3o$175bo39b2o3b2o389bob2o76b2obo$173bobo40b2o394b3o76b3o$174b2o349b
o86b2o71b3o4b2o$523bobo126b3o15b3o12bo2bo$524b2o57bo5bo61bo2bo14bo2bo
12bo$209bo371bobo4bobo63bo17bo12bo$208b3o371b2o3bo2bo59bo3bo17bo13bobo
$207bo2b2o376b2o64bo14bobo$207b3o441bobo$250bo$221bobo25bobo$222b2o25b
obo$207bo14bo27bo$210bo459bo$207bo3bo457b3o$208b2ob2o403b3o50bob2o$
616bo2bo50b3o$616bo46bo6b2o$616bo45b3o$210bo406bobo41b2obo$211b2o448b
3o7bo$210b2o450b2o6b3o$165b2o502b2obo$165b2o502b3o$670b2o23bo$694b3o$
693b2obo$693b3o$29bobo84bobo575b2o$29b2o86b2o$30bo86bo$195bo426bo80bo$
195bobo47bo375b3o78b3o$195b2o47bobo373b2obo78bob2o$244bobo373b3o80b3o$
245bo304bo70b2o72b3o5b2o$551b2o109b3o15b3o11bo2bo$85bo464b2o110bo2bo
14bo2bo13bo$84bo577bo17bo16bo$63bo20b3o575bo3bo13bo13bobo$62bo599bo18b
obo$62b3o598bobo4$538bobo$539b2o139bo$539bo139b3o$626b3o49b2obo$625bo
2bo49b3o$628bo44bo5b2o$628bo43b3o$237bo387bobo44bob2o$238bo434b3o5bo$
236b3o434b2o5b3o$240bo439bob2o$239bobo439b3o$239bobo439b2o22bo$240bo
463b3o$704bob2o$705b3o$705b2o$226bo$224bobo$225b2o405bo80bo$631b3o78b
3o$631bob2o76b2obo$632b3o76b3o$155b2o475b2o71b3o4b2o$155b2o515b3o15b3o
12bo2bo$5bo126bo538bo2bo14bo2bo12bo$4bo128bo540bo17bo12bo$4b3o124b3o
536bo3bo17bo13bobo$233bo440bo14bobo$170bobo59bobo436bobo$170b2o60bobo$
171bo61bo2$228b2o7b2o327bo$227bo2bo5bo2bo324bobo123bo$61bo166b2o7b2o
326b2o122b3o$59b2o575b3o50bob2o$39bo20b2o171bo402bo2bo50b3o$37b2o193bo
bo401bo46bo6b2o$38b2o192bobo401bo45b3o$204bo28bo403bobo41b2obo$205bo
475b3o7bo$203b3o348bo127b2o6b3o$555bo133b2obo$553b3o133b3o$690b2o23bo$
714b3o$713b2obo$713b3o$714b2o3$642bo80bo$641b3o78b3o$640b2obo78bob2o$
640b3o80b3o$223b2o7b2o407b2o72b3o5b2o$222bo2bo5bo2bo447b3o15b3o11bo2bo
$223b2o7b2o448bo2bo14bo2bo13bo$682bo17bo16bo$228bo453bo3bo13bo13bobo$
227bobo452bo18bobo$227bobo453bobo$228bo4$700bo$152b2o545b3o$151b4o491b
3o49b2obo$151b2ob2o489bo2bo49b3o$153b2o493bo44bo5b2o$648bo43b3o$645bob
o44bob2o$693b3o5bo$693b2o5b3o$579bobo118bob2o$580b2o119b3o$580bo120b2o
22bo$218b2o7b2o495b3o$217bo2bo5bo2bo494bob2o$218b2o7b2o496b3o$725b2o$
223bo$222bobo$222bobo343bo83bo80bo$223bo345b2o80b3o78b3o$568b2o81bob2o
76b2obo$652b3o76b3o$652b2o71b3o4b2o$692b3o15b3o12bo2bo$691bo2bo14bo2bo
12bo$694bo17bo12bo$690bo3bo17bo13bobo$694bo14bobo$691bobo5$710bo$709b
3o$222b2o432b3o50bob2o$221bo2bo431bo2bo50b3o$222b2o432bo46bo6b2o$656bo
45b3o$218bo438bobo41b2obo$217bobo481b3o7bo$217bobo482b2o6b3o$218bo490b
2obo$709b3o$710b2o23bo$734b3o$733b2obo$733b3o$222b2o510b2o$220b2ob2o$
220b4o$221b2o372bo66bo80bo$596bo64b3o78b3o$594b3o63b2obo78bob2o$660b3o
80b3o$661b2o72b3o5b2o$702b3o15b3o11bo2bo$702bo2bo14bo2bo13bo$208b2o7b
2o483bo17bo16bo$207bo2bo5bo2bo482bo3bo13bo13bobo$208b2o7b2o483bo18bobo
$584bo118bobo$213bo368bobo$212bobo368b2o$212bobo$213bo$720bo$719b3o$
666b3o49b2obo$665bo2bo49b3o$668bo44bo5b2o$668bo43b3o$665bobo44bob2o$
713b3o5bo$713b2o5b3o$720bob2o$721b3o$721b2o22bo$744b3o$744bob2o$745b3o
$212b2o531b2o$211bo2bo$212b2o$672bo80bo$208bo462b3o78b3o$207bobo461bob
2o76b2obo$207bobo462b3o76b3o$208bo463b2o71b3o4b2o$712b3o15b3o12bo2bo$
711bo2bo14bo2bo12bo$714bo17bo12bo$710bo3bo17bo13bobo$290b2o422bo14bobo
$289b4o316bo101bobo$289b2ob2o316b2o$291b2o316b2o3$730bo$729b3o$676b3o
50bob2o$676bo2bo50b3o$676bo46bo6b2o$198b2o7b2o388bobo76bo45b3o$197bo2b
o5bo2bo388b2o77bobo41b2obo$198b2o7b2o389bo122b3o7bo$722b2o6b3o$203bo
525b2obo$202bobo524b3o$202bobo525b2o23bo$203bo550b3o$753b2obo$753b3o$
754b2o3$682bo80bo$681b3o78b3o$680b2obo78bob2o$680b3o80b3o$681b2o72b3o
5b2o$722b3o15b3o11bo2bo$722bo2bo14bo2bo13bo$722bo17bo16bo$722bo3bo13bo
13bobo$722bo18bobo$202b2o519bobo$201bo2bo$202b2o2$198bo$197bobo540bo$
197bobo539b3o$198bo487b3o49b2obo$685bo2bo49b3o$688bo44bo5b2o$625bo62bo
43b3o$623bobo59bobo44bob2o$624b2o107b3o5bo$360b2o371b2o5b3o$358b2ob2o
377bob2o$358b4o379b3o$359b2o380b2o22bo$764b3o$764bob2o$613bo151b3o$
614bo150b2o$612b3o2$188b2o7b2o493bo80bo$187bo2bo5bo2bo491b3o78b3o$188b
2o7b2o492bob2o76b2obo$692b3o76b3o$193bo498b2o71b3o4b2o$192bobo537b3o
15b3o12bo2bo$192bobo536bo2bo14bo2bo12bo$193bo540bo17bo12bo$730bo3bo17b
o13bobo$734bo14bobo$731bobo5$750bo$749b3o$696b3o50bob2o$696bo2bo50b3o$
696bo46bo6b2o$696bo45b3o$697bobo41b2obo$741b3o7bo$192b2o548b2o6b3o$
191bo2bo554b2obo$192b2o555b3o$750b2o23bo$188bo585b3o$187bobo583b2obo$
187bobo583b3o$188bo449bobo133b2o$639b2o$639bo$702bo80bo$701b3o78b3o$
428b2o270b2obo78bob2o$427b4o269b3o80b3o$427b2ob2o269b2o72b3o5b2o$429b
2o311b3o15b3o11bo2bo$627bo114bo2bo14bo2bo13bo$628b2o112bo17bo16bo$627b
2o113bo3bo13bo13bobo$742bo18bobo$743bobo3$178b2o7b2o$177bo2bo5bo2bo$
178b2o7b2o571bo$759b3o$183bo522b3o49b2obo$182bobo520bo2bo49b3o$182bobo
523bo44bo5b2o$183bo524bo43b3o$705bobo44bob2o$753b3o5bo$753b2o5b3o$760b
ob2o$761b3o$761b2o22bo$784b3o$784bob2o$785b3o$785b2o3$712bo80bo$711b3o
78b3o$711bob2o76b2obo$712b3o76b3o$712b2o71b3o4b2o$752b3o15b3o12bo2bo$
751bo2bo14bo2bo12bo$754bo17bo12bo$750bo3bo17bo13bobo$754bo14bobo$751bo
bo5$770bo$498b2o269b3o$496b2ob2o215b3o50bob2o$496b4o216bo2bo50b3o$497b
2o217bo46bo6b2o$716bo45b3o$717bobo41b2obo$761b3o7bo$762b2o6b3o$769b2ob
o$769b3o$770b2o23bo$794b3o$793b2obo$793b3o$794b2o3$722bo80bo$721b3o78b
3o$720b2obo78bob2o$720b3o80b3o$721b2o72b3o5b2o$762b3o15b3o11bo2bo$762b
o2bo14bo2bo13bo$762bo17bo16bo$762bo3bo13bo13bobo$762bo18bobo$763bobo
18$566b2o$565b4o$565b2ob2o$567b2o!
Physics: sophistication from simplicity.
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Re: (23,5)c/79 spaceship components

Postby HartmutHolzwart » September 30th, 2014, 4:52 am

Just to let you know: I'm following your posts and admiring your progress, only that I cannot contribute anything.

Keep on! We are currently in the "heroic phase" of caterpillar construction after ten years of complete silence.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » September 30th, 2014, 3:31 pm

I'm very glad to hear you're following and enjoying! If you can't contribute with golly tinkering (that's legitimately all I've been doing, I haven't run scripts because I doubt any are tailored towards this subspace of GoL and writing them would be more work than just playing around and developing intuition) and you still want to help out somehow, then I would always appreciate confirmation that the math I've done so far (and ever) is sane :P

Speaking of, I was trying to match up a sideways LWSS stream to the helix and I need to write some math down. We have 2 degrees of freedom: we can forestall the LWSS creation by 4 generations, and we can forestall the interaction of the gliders from below. The effect of each:
LWSS created 4 gens later -> stream translated (-1,-1) from gliders + (-2,0) from LWSS motion = (-3,-1).
gliders interact 4 gens later -> final stream translated (2,0) from horizontal LWSS + (0,-2) from vertical LWSS = (2,-2).

So it looks like we can control everything up to parity once again. It's like a bishop on a chessboard.
..Where the H reaction itself is a knight and can help us if parity is off. Extension of the knightship analogy!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My attempts to make an adjustable NE glider rake that can send two streams of closely positioned p79 gliders has run into trouble. I tried to use 2 beehive trails to construct a 2-track with separation 263 from the 2-track in the beehive layer. This would allow SE gliders to be suppressed by the burning Hs and for the bottom track SW gliders to be kicked to NE gliders before the top track, so that the resulting streams could essentially overlap if necessary.

A B C D E:
B - A = 31
C - B = E - D = 2
D - B = E - C = 263

Except: gliders intended to kick back the bottom track crash into the top track. I need to burn the bottom track first for this to work, because the top track gliders would annihilate the bottom. Gliders crash on tracks 2 and 261. It just won't work this way.
Visually:
x = 220, y = 380, rule = B3/S23
$178bo$177bo$177b3o10$212bo$210b2o$211b2o23$156b3o$155bo2bo$155bo4bo$
160bo$160b2o$157bob2o$158bo10$146bobo59bo$146b2o60bobo$147bo38bo21b2o$
186bobo$186b2o8$174b3o$177bo$174bo2bo$175b2o$175b2o$174bo2bo$174bo$
176b2o12$173bo$172bobo$172bobo$173bo$187b3o$187bo2bo$187bo2bo2$190b2o$
189bo2bo$189bo2bo$122bo60bo5bo$121bo62bo$121b3o58b3o8$178bo$176b2o$
156bo11bo8b2o$154b2o11bobo$155b2o10bobo$168bo4$106b3o$106bobo$106bo2bo
$107b3o$107b3o$105bo2bo$108bo$105bo$106b2o$105b3o$105b2o$104bobo2b2o$
104bobo2b2o$104b3o3$163bo$162bobo$162bobo$163bo3$112bo$110bobo$111b2o
7$92b2o$92bobo$94b2o$92bobo57bo$92bo59bobo$92bo2bo32bo23b2o$127bob2o$
94b2o33b2o$128b3o27bo$157bobo$132b2o23bobo$131b3o24bo$85bo$83b2o$84b2o
38bo$123bo$123b3o4$138bo$136b2ob2o$136b2ob2o$137bob3o$136b3o4$123bo13b
2o$122bobo12b2o$122bobo$123bo12bo16bo$135bob2ob2o10bobo$134b2o4b2o10bo
bo$134b2ob2o14bo$136bo8$104bo$105b2o$104b2o$64bo$63b3o$62b2o2bo2$66b2o
$66b2o50bo$65bo2bo48bobo$64b3o50bobo$118bo29bo$122bo24bobo$120b2o25bob
o$100bo20b2o25bo$98b2o$99b2o5$53bo$52bo$52b3o9$108b2o3b2o$107bo2bo2b2o
$107bo2bo32bo$108b2o32bobo$142bobo$143bo2$82bo$81b3o$80b2o2bo$80bo3bo$
80bob2o$80b2o5$81b2o2bo$81bobobo$84bo$78bo$79bo$77b3o$83bobo11bo5b2o3b
2o$84b2o12b2o2bo2bo2b2o$84bo7b2o8bo2bo32bo$92bo10b2o32bobo$94b3o40bobo
$91bo5bo40bo$92bo4bo$93bo2bo$95bo$29bo60bo$27b2o60bo$28b2o38bo20b3o$
67bo$67b3o10$98b2o3b2o$97bo2bo2b2o$97bo2bo32bo$98b2o32bobo$132bobo$
133bo12$92bo$93b2o$92b2o4$93b2o3b2o$92bo2bo2b2o$92bo2bo32bo$93b2o32bob
o$127bobo$128bo$3bo62bo$3bobo58b2o$3b2o39bo20b2o$42b2o$43b2o$84bo$60b
3o20b3o$60bo2bo19bo2bo$60bo2bo21b2o$59b4o22bo$59b2o21b2o$58bo23b4o$59b
o23bo2bo$59bo24bo$83bo$82b2o$81bo5bo$81b2o3b2o$82b2o$123bo$122bobo$
122bobo$123bo5$87bobo$88b2o$88bo4$74bo$72b2o$73b2o$23bo$22b3o$21b2o2bo
2$25b2o$25b2o$24bo2bo90bo$23b3o91bobo$117bobo$118bo24$103bo5b3o$104bo
7bo$102b3o4b3o3$112b2o$112b2o4$104bo$102b2o$103b2o!


To identify these frustrations earlier and plan accordingly I will compile a list of which tracks allow gliders to pass, or even better, a list of possible G+G and G+H collisions from each and every track. To the spreadsheetmobile!
Physics: sophistication from simplicity.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » October 6th, 2014, 1:39 pm

Here's my compilation of interactions. Most useful are the tracks which leave a burnable still life - for example track 31 which leaves a hive, and track 34 which leaves a SE loaf. Track 130 leaves a hive and suppresses the outward glider, but I feel like that might be less useful than the 31, 2 combination (the benefit of the latter is that one can use the leftmost track as a rake interchangeably and then rephase the other two tracks cleanly).

Track 122 produces a downward B which is destroyed upon reaching the block below, which means that in the steady state we get a block, a beehive and a NE glider. This is probably our most promising forward rake.

Also generally useful knowledge is that gliders cannot pass through if the track separation is any of the following:
1-7, 41-49, 84-92, 126-135, 169-177, 212-220, 255-263, 297-306, 340-341

What their interaction produces is detailed in the spreadsheet. 169 and 263 are the kickbacks. (It's symmetrical about 216 and 45).

As for what I'm currently working on, I am trying to use the 31, 2 track to produce another 31, 2 track based on freezing or kicking back the earliest SE gliders. It's simple enough to produce a new 31, 2 track from beehives, but it would be far more space efficient to replicate the track as close to the stream as possible.


Edit: I mainly looked for interactions with the lower sparks. Doubtlessly I missed some interactions with the higher sparks but they are fewer because the H is somewhat fragile. I wasn't perfect though; as I found out just now, track 307 has a way to convert incoming glider + H = blinker on the upper sparks. I am updating my copy of the spreadsheet and will probably post another once significant updates have been made.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » October 20th, 2014, 3:00 am

Trying to make forward rakes from the 31, 2 track. It seems pretty straightforward to do it by creating 2 additional tracks and taking advantage of either track 87 or 122. Here are two designs, one using each.

x = 957, y = 689, rule = B3/S23
5$384b3o$384bo2bo$383bo3bo$383b2o$384bobo$385b2o2bo$385bo2bo$385bo$
384b2ob2o$385bobo$386bo10$374bo60bo$372b2o60bo$373b2o38bo20b3o$369b3o
40bo$369bo2bo39b3o$368bo3bo$368b3o2bo$369b4o3$366bobo$366b2o34bo2b2o$
367bo38b2o$405b2o2$401b2o2b2o$407bo$401b4o$403bo2bo10$871bo$870bobo$
401bo468bob2o$400bobo12b3o454bo$400bobo11bo2bo$401bo12bo2bo455bob2o$
413bo2bo457b2o$413bo2bo$417b2o$417b2o449bo$415bo3bo446b2o$418b2o447b2o
$420bo$377bobo35bo3bo$378b2o36b3o$378bo34bo$411bobo$412b2o7$341bo$341b
2o53bo6bobo$341b3o51bobo5b2o$341b2o38bobo11bobo6bo$341b2o38b2o13bo$
342bo39bo$343bobo$344bo2$890b3o$335bo553bo2bo$335bobo555bo$335b2o552b
2o$889b2o3bo$894bo$892bo$881bo8b3o$882b2o6b2o$881b2o7bo$891b2o$891bobo
$890bo3bo$891b2o3$386b2o3b2o$385bo2bo2b2o$385bo2bo$386b2o454bo52bo6b2o
$842bobo48bobo8bo$842b2o50b2o9bo$902bobo$903bo$905bobo$905bobo$906bo3$
897bobo$897b2o$875bobo20bo$352bo7bo514b2o$350bobo6b3o514bo$351b2o6bob
2o16bo$360bo2bo14bo505bo$361b2o15b3o502bobo$361bo521bobo$884bo$381b2o
3b2o$380bo2bo2b2o$380bo2bo$381b2o$368b2o$310bobo54b3o$310b2o55bo2bo$
311bo38bo16b2ob2o$350bobo14b2ob2o$350b2o14b2ob2o$367bo$305b2o61b3o$
305bobo61bo$307b2o$306bo37bo$304bobo37b2o475b3o$303b2o41bo474bo2bo$
303b3o38b2o475bo2bo$343bobo$344bo479b2o53bo$342bobo478bo2bo51bobo$340b
o482bo2bo51bobo$340bobo480bo55bo$376b2o3b2o$375bo2bo2b2o$375bo2bo$292b
o83b2o$291b3o$290b5o$290b2ob3o$291b2ob2o$293bo517b2o$809bo63bo$809b3o
60bo$353b3o455b2o38bo20b3o$353bo2bo493bo$351bo4bo8bobo482b3o$366b2o
445b2o$351bo14bo446b2o$352bo$353b2obo$354bo2bo$354b2o448bobo67bo$355bo
2bo445b2o34b2o31bobo$358bo446bo33b3o31bobo$312bo41bo484bo2bo31bo$313b
2o42bo13b2o3b2o461b2ob2o$312b2o10b3o24bo2b3o13bo2bo2b2o461b2ob2o$323bo
2bo25bo17bo2bo464b2ob2o$323bo2bo23b3o18b2o466bo$322bo2bo514b3o$322bo2b
o515bo$326b2o$326b2o$324bo3bo$298bobo26b2o$299b2o28bo$299bo24bo3bo13bo
$325b3o12b2o$341b2o4$336b3o499bo$336bo2bo497bobo$336bo2bo497bobo29bo$
273bo61b4o499bo13b3o13bobo$272bo62b2o514bo2bo13bobo$272b3o59bo29bo486b
2obo14bo$312bobo20bo27bobo489b2o$312b2o21bo27bobo489b2o$313bo50bo489bo
2bo$853bo$821bobo29b3o$822b2o30bo$822bo26bo$318bo528bobo$317bobo528b2o
$317bobo$318bo3$259bo$258b3o$258b3o$841bobo$258b4o514b3o54bo7b2o$257b
5o514bob3o38bobo10bobo7bo$257b2obo558b2o11bobo29bo$779bobo38bo12bo29bo
bo$779bobo81bobo$258b2o99bo420b2o82bo$257bo100bobo$358bobo$256bobo2bo
97bo413bo$256bob3obo510bobo$255b3ob2obo510b2o$256bobo55bo$256b3o$257bo
2$310bob2o$311bo5$265bo$263bobo$264b2o44bo$309bo$288bo20b3o514b2o31bo$
287bo538b2o30bobo$285b2ob2o568bobo$284b5o65bo504bo$283b2o2bo65bobo$
283bob4o64bobo445bo$283bo4bo65bo445b3o$283bo2b2o511bo2b2o$241bobo41b2o
511b5o$241b2o555b5o$242bo38bo519bo$281bobo517bobo$281b2o518b2obo$306b
2o494bobo$306b2o480bo14b3o$753b3o30bobo14bobo$753bo2bo30b2o12b4o12bo$
752bo3bo44b3o12bo$752b2o48bo13b3o$753bobo$293b3o458b2o2bo$292bo2bo458b
o2bo55bo$296bo457bo57b3o$292b2o459b2ob2o53b2o2bo5b2o28b3o$292b2o3bo
456bobo58bo5b2o28bo2bo$297bo457bo58bo36bo2bo$295bo53bo460bo$293b3o52bo
bo459bobo41b2o$293b2o53bobo437bo21b2o41bo2bo$293bo55bo438bobo62bo2bo$
265b3o26b2o492b2o63bo$265bo2bo25bobo488bo$267b2o24bo3bo486b3o$294b2o
487bo2b2o$263bo2bo516b3obo$264b2o75b3o399bo42b2o$267b2o32b2o38b3o397b
2o$266b3o32b2o38bo2bo397b2o38bo$267bo74b3o436bo$264b2ob2o9bobo61b2o
437b3o$264b2ob2o10b2o561bo$264bo3bo10bo560b2o$264bo3bo572b2o$265bo3$
771bo2b2o40b2o$775b2o39b2o$774b2o$793b3o$217bo52bo7b2o490b2o2b2o17bo2b
o$216bo54bo5bo2bo495bo15bo3bo$216b3o50b3o5bo2bo489b4o19bo2b2o$277bo
494bo2bo19bo$280bo512b2o$278b3o511b3o$280b2o510b3o$281bo519bobo$802b2o
$296b2o496b2o6bo$273bo22b2o495bob2o$271b2o520bo3bo$251bo20b2o74bo447bo
$249b2o98b2o$250b2o96b2o$770bo$769bobo12b3o$769bobo11bo2bo9b2o$770bo
12bo2bo$782bo2bo25b2o$782bo2bo25b2o$786b2o77bo$786b2o78b2o$784bo3bo76b
2o$323bo463b2o$323bobo463bo$323b2o459bo3bo$291bo493b3o$290b3o424bo64bo
$289b2o2bo423bobo60bobo$288b2o2b3o422b2o62b2o$197b3o87b3o3bo$196bo2bo$
196bo2bo91bo524bo$195bo2bo617bobo$195bo2bo617b2o$199b2o$199b2o$197bo3b
o563bo6bobo$200b2o562bobo5b2o$202bo547bobo11bobo6bo$197bo3bo548b2o13bo
$198b3o550bo11$185bobo59bo$185b2o60bobo$186bo38bo21b2o115bo$225bobo
134bobo$225b2o136b2o4$760bo$219bo539bobo$219b2o538bobo$221bo538bo120bo
$219b2o658bobo$218bobo659b2o$219bo78bobo$217bobo78b2o$215bo83bo$215bob
o$692bobo$692b2o$693bo3$791bobo$791b2o$792bo2$748bo$747bo$214bo13b3o
495bo20b3o$213bobo12bo2bo493bo$213bobo10bo4bo493b3o27bo$214bo539bobo$
226bo527bobo$227bo527bo$228b2obo$229bo2bo$229b2o$230bo2bo$233bo$229bo$
232bo$161bo64bo2b3o$160bo66bo$160b3o62b3o$377bobo$378b2o$378bo5$209bo
7bo$208bobo4b2o$195bo12bobo5b2o532bo143bobo$193b2o14bo539bobo143b2o$
194b2o78bo474bobo143bo$273bo433b3o40bo$273b3o430bo2bo$706b2obo$668bo$
667bo$667b3o$706b2o$706b4o$664bo42bo2bo56bo$663b3o42bobo55bo$662b2o2bo
41bobo55b3o$666bo$665bo$661bo48bo13bo$661bobo44bobo11b2o$661b2o46b2o
12b2o$719b3o$719bo2bo$204bo513bo3bo$203bobo512b3o2bo$203bobo513b4o22bo
$204bo539bobo$744bobo$716bobo26bo$716b2o$694bobo20bo$694b2o$695bo$138b
o$138bo$132b2o259bo$132bob2o258bo$135b2o255b3o$135bobo$132bo3b2o$136bo
3$129bobo59bo$129b2o60bobo716bo$130bo38bo21b2o718bo$169bobo27bo709b3o$
169b2o27bobo49bo$198bobo47b2o490bo$199bo49b2o421bo66bobo$670bobo66bobo
$671b2o67bo5$743bo$741b2o$742b2o3$634bo$633bobo$633bob2o$635bo2$636bob
2o$637b2o2$194bo$193bobo435bo60bo$193bobo433b2o60bo43bo$194bo435b2o38b
o20b3o40bobo$669bo64bobo$142bobo524b3o63bo$143b2o$143bo2$407bo$408b2o$
407b2o$169b3o$169bo2bo$169bo2bo$170bo2bo$105bo64b3o$104bo66b2o$104b3o
817bo$144bobo778b2o$144b2o778b2o$145bo78bo$224bobo$189bo34b2o459bobo$
188bobo495b2o$188bobo495bo43bo$161bo27bo539bobo$159b2o568bobo$160b2o
568bo$185b2o$185bob2o528bo$187b2o528bobo$131b3o51b2o457bo72b2o$131b3o
49b2o460b2o$131bo2bo509b2o$132b3o48bobo$132b2o50bo11$158bo$159bo565bo$
157b3o564bobo$182bo541bobo$175bo6bo542bo$174bobo5b2o239bo$174bobo4b3o
237bobo$175bo4bob2o238b2o$180b2o4$81bo56bo$79b2o58b2o$80b2o56b2o800bo$
938bobo$193bo5b3o737b2o$194bo7bo$192b3o4b3o499bo$74b2o626bo$74b2o624b
3o$76bo125b2o$74b3o58bo66b2o$73bobo59bobo$74b2o37bo21b2o583bo$73bo39bo
bo603bobo$73bo39b2o79bo497bobo24bobo$71bo98bo5b2o14b2o498b2o26bo$160bo
8bobo4b2o15b2o465bo32bo$158b2o9bobo11b2o473bobo$159b2o9bo11bobo474b2o$
184bo$198bo$198b2o$197bobo485b3o24b3o$687bo25bo$212b3o470b3o25b3o$214b
o$213bo472bo$227b2o455b3o$228b2o452b3o$227bo455b2o$242b2o$241bobo$167b
o75bo467bobo$166bobo88bo453bobo$166bobo88b2o$167bo88bobo455bo$436bobo$
271b3o163b2o$273bo163bo$272bo437bobo$286b2o423bo$80bobo204b2o$81b2o
203bo$81bo72bo146b2o405b2o$152bobo145bobo404bobo$153b2o147bo405bo244bo
bo$316bo637b2o$316b2o636bo$315bobo2$330b3o$332bo$49bo60b2o219bo$48bo
60bo2bo232b2o$48b3o58bo2bo233b2o344bo$88bobo18bo52bo182bo347b2o$88b2o
22bo48bobo196b2o330b2o$89bo20b3o48bobo4bo190bobo$112b2o48bo5bobo190bo$
113bo20bo33b2o205bo297bobo19bo$134bobo238b2o297b2o18bo$134b2o238bobo
297bo19b3o$105bo$103b2o284b3o$104b2o285bo$390bo$404b2o255bo41b2o$405b
2o254bobo38bobo$404bo256b2o21b2o17bo$122b3o294b2o237bo24b3o$125bo292bo
bo236b3o23bo2bo$122bo2bo294bo235bo2b2o22b2ob2o$123b2o309bo221b3obo22b
2ob2o$123b2o309b2o223b2o21b2ob2o$122bo2bo307bobo247bo$73bo48bo532bo28b
3o$72b3o49b2o528bo30bo$72bob2o578b3o$71b2o627b2o$71b2o626bobo$71b2o
628bo$75bo639bo$74b2o639b2o$72bobo21bo617bobo$71bo2bo22bo$72bobo20b3o
631b3o$72b3o656bo$72b2obo654bo$72bo2bo668b2o$73bo44b4o623b2o$117b2obo
623bo$116bo5b2o635b2o$117bob2obo635bobo$117b2o3bo556b2o79bo$678bobo93b
o$25bo50bo602bo94b2o$23b2o52b2o694bobo$24b2o50b2o$788b3o$131bo658bo$
132bo9b2obo643bo$130b3o7bo4bo657b2o$139bo5bo658b2o$139bo663bo$138b2ob
2obo673b2o$79bo58b2obo2bo672bobo$79bobo58b4o522bo152bo$57bo21b2o60b3o
523bo165bo$57bobo605b3o165b2o$57b2o79bo693bobo$136b2o$104bo32b2o708b3o
$102b2o559bobo183bo$103b2o6bo5b2o544b2o183bo$110bobo4b2o545bo197b2o$
110bobo750b2o$111bo562b2o186bo$673bobo201b2o$121b2o551bo201bobo$120bob
o755bo$122bo$136bo$136b2o$135bobo2$150b3o$152bo520b2o$151bo522b2o$165b
2o506bo$114bo51b2o520b2o$115b2o48bo521bobo$108b2o4b3o63b2o507bo$107bob
o69bobo521bo$107bo73bo521b2o$107bobo85bo506bobo$107b3o85b2o$106b3o85bo
bo520b3o$105bobo611bo$92bo12bobo101b3o506bo$90bobo13bo104bo520b2o$91b
2o117bo522b2o$224b2o506bo$225b2o520b2o$224bo521bobo$239b2o507bo$238bob
o521bo$240bo521b2o$254bo506bobo$54bobo197b2o$54b2o197bobo$32bobo20bo$
32b2o234b3o$33bo78bo157bo$103bo8bobo154bo$78bo23bobo7b2o169b2o$78bobo
21bobo179b2o$78b2o23bo179bo!


Unfortunately, with a forward rake that uses only 1H per track to operate, there is a big problem. If used to make a new track out of SE gliders via either the kickback or the hive reaction, the next rake forward destroys either. As does the one after it. But if the separation between forward rakes is 3H per track, then both the hive and the kickback reaction survive. So now I will try to make a sensible, clean forward rake from the 31, 2 track that uses 3H per track.
Physics: sophistication from simplicity.
User avatar
biggiemac
 
Posts: 483
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Location: California, USA

Re: (23,5)c/79 spaceship components

Postby biggiemac » October 24th, 2014, 3:52 am

Progress is happening! I used forward rakes to make a new 31, 2 track from a 31, 2 track. My first attempt was horrible, using the 2G->Hive reaction, ended up about 3 times as big as my next one. I've shrunk it further still though, so here are methods 2 and 3 to make a new 31, 2 track.

2 Kickbacks:
x = 1121, y = 1497, rule = B3/S23
36$706b3o$708bo$707bo$700bo$699bob3o$700b3obo$701bo2bo$702b2o$702bo$
701b2o$704bo$704bo$701bobo22b3o$725bo2bo$728bo$728bo$725bobo3$734b3o$
734bo2bo$734bo$728bo5bo$695bo17bo13b3o5bobo$694b3o15b3o12bob2o$693b2ob
o14b2obo13b3o$693b3o15b3o14b2o$693b3o16b2o$694b2o6$711b3o$710bo2bo$
713bo$713bo$704b3o3bobo$704bo2bo$704bo$704bo7b3o$705bobo4bo2bo$712bo$
712bo$713bobo20b3o$736bo2bo$736bo$736bo$737bobo3$744b3o$743bo2bo$679bo
66bo$678bobo57bo7bo$678bo2bo23bo17bo13b3o3bobo$679b2o23b3o15b3o11b2obo
$704bob2o14bob2o10b3o$705b3o15b3o11b2o$705b3o15b2o$705b2o6$721b3o$721b
o2bo$721bo$721bo$714b3o5bobo$713bo2bo$716bo$716bo5b3o$671b3o39bobo5bo
2bo$671bo2bo49bo$670bo3bo49bo$670b2o49bobo22b3o$671bobo71bo2bo$672b2o
2bo71bo$672bo2bo72bo$672bo72bobo$671b2ob2o$672bobo$673bo80b3o$754bo2bo
$754bo$748bo5bo$715bo17bo13b3o5bobo$714b3o15b3o12bob2o$713b2obo14b2obo
13b3o$713b3o15b3o14b2o$713b3o16b2o$714b2o$661bo$659b2o$660b2o3$731b3o$
730bo2bo$733bo$733bo$724b3o3bobo$724bo2bo$724bo$724bo7b3o$725bobo4bo2b
o$732bo$732bo$733bobo20b3o$756bo2bo$756bo$756bo$757bobo3$678bo4b3o78b
3o$677bobo3bo2bo76bo2bo$677bobo3bo82bo$678bo4bo74bo7bo$684bobo38bo17bo
13b3o3bobo$724b3o15b3o11b2obo$724bob2o14bob2o10b3o$725b3o15b3o11b2o$
725b3o15b2o$725b2o6$741b3o$689bo51bo2bo$688b3o50bo$687b2obo50bo$687b3o
44b3o5bobo$635bo52b2o43bo2bo$635bobo98bo$635b2o99bo5b3o$632bo40bo59bob
o5bo2bo$631b3o38bobo69bo$630bo2b2o37bobo69bo$630b3obo38bo67bobo22b3o$
633b2o130bo2bo$768bo$629bo39b2o97bo$628bo40b2o94bobo$628b3o40bo$669b3o
$668bobo22b3o78b3o$669b2o21bo2bo78bo2bo$668bo26bo78bo$668bo26bo72bo5bo
$666bo25bobo40bo17bo13b3o5bobo$734b3o15b3o12bob2o$733b2obo14b2obo13b3o
$733b3o15b3o14b2o$733b3o16b2o$734b2o6$751b3o$699bo50bo2bo$698b3o52bo$
698bob2o51bo$699b3o42b3o3bobo$699b2o43bo2bo$744bo$744bo7b3o$745bobo4bo
2bo$752bo$651bo100bo$650b3o100bobo20b3o$640bo8bo2b2o122bo2bo$641bo7b3o
124bo$639b3o134bo$675bobo99bobo$676b2o$649bo26bo$652bo50b3o78b3o$649bo
3bo49bo2bo76bo2bo$650b2ob2o48bo82bo$703bo74bo7bo$704bobo38bo17bo13b3o
3bobo$744b3o15b3o11b2obo$605bo46bo91bob2o14bob2o10b3o$603b2o48b2o90b3o
15b3o11b2o$604b2o46b2o91b3o15b2o$745b2o6$761b3o$709bo51bo2bo$708b3o50b
o$637bo69b2obo50bo$637bobo67b3o44b3o5bobo$637b2o69b2o43bo2bo$756bo$
756bo5b3o$753bobo5bo2bo$644bo119bo$643bobo118bo$643bobo115bobo22b3o$
644bo140bo2bo$788bo$788bo$785bobo3$713b3o78b3o$712bo2bo78bo2bo$715bo
78bo$715bo72bo5bo$712bobo40bo17bo13b3o5bobo$754b3o15b3o12bob2o$691bo
61b2obo14b2obo13b3o$692bo60b3o15b3o14b2o$690b3o60b3o16b2o$754b2o5$639b
o$638bobo130b3o$579bo58bobo27bo50bo50bo2bo$579bobo57bo26bobo49b3o52bo$
579b2o86b2o49bob2o51bo$719b3o42b3o3bobo$719b2o43bo2bo$764bo$764bo7b3o$
765bobo4bo2bo$772bo$772bo$773bobo20b3o$632bo163bo2bo$612bobo16b3o162bo
$612b2o17bob2o161bo$613bo16b2o165bobo$630b2o$630b2o$634bo88b3o78b3o$
633b2o88bo2bo76bo2bo$631bobo89bo82bo$630bo2bo89bo74bo7bo$631bobo90bobo
38bo17bo13b3o3bobo$631b3o130b3o15b3o11b2obo$631b2obo129bob2o14bob2o10b
3o$631bo2bo130b3o15b3o11b2o$599b3o30bo132b3o15b2o$599b3o163b2o$599bo2b
o$600b3o20bo$600b2o20b3o$621b2o2bo$635bo$636b2o143b3o$635b2o68bo23bo
51bo2bo$621b2o83b2o20b3o50bo$622b3o80b2o20b2obo50bo$625bo101b3o44b3o5b
obo$623b3o102b2o43bo2bo$623b2o151bo$776bo5b3o$773bobo5bo2bo$623bobo
158bo$624b2o158bo$554bobo67bo56bobo97bobo22b3o$554b2o126b2o121bo2bo$
555bo58bo67bo125bo$613b3o192bo$612bo2b2o188bobo$616bo$616b2o$618bo114b
3o78b3o$615b4o113bo2bo78bo2bo$606bo8b2o118bo78bo$607b2o126bo72bo5bo$
606b2o124bobo40bo17bo13b3o5bobo$774b3o15b3o12bob2o$773b2obo14b2obo13b
3o$773b3o15b3o14b2o$773b3o16b2o$774b2o3$603bo$603bobo$581bo21b2o$581bo
bo207b3o$581b2o156bo50bo2bo$738b3o52bo$738bob2o51bo$739b3o42b3o3bobo$
739b2o43bo2bo$784bo$784bo7b3o$785bobo4bo2bo$651bo140bo$649bobo140bo$
650b2o69bo71bobo20b3o$719bobo94bo2bo$720b2o94bo$816bo$817bobo3$639bo
103b3o78b3o$640bo102bo2bo76bo2bo$530bo107b3o56bo45bo82bo$529bo168bo44b
o74bo7bo$529b3o164b3o45bobo38bo17bo13b3o3bobo$784b3o15b3o11b2obo$784bo
b2o14bob2o10b3o$785b3o15b3o11b2o$785b3o15b2o$785b2o$628bo$626bobo$622b
o4b2o$620bobo$621b2o$801b3o$749bo51bo2bo$748b3o50bo$747b2obo50bo$747b
3o44b3o5bobo$748b2o43bo2bo$796bo$578bobo215bo5b3o$578b2o213bobo5bo2bo$
556bobo20bo224bo$556b2o246bo$557bo243bobo22b3o$825bo2bo$828bo$828bo$
825bobo3$753b3o78b3o$664bobo85bo2bo78bo2bo$665b2o88bo78bo$665bo68bobo
18bo72bo5bo$735b2o15bobo40bo17bo13b3o5bobo$735bo58b3o15b3o12bob2o$793b
2obo14b2obo13b3o$793b3o15b3o14b2o$793b3o16b2o$794b2o$653bo$654b2o$506b
o146b2o56bo$504b2o206b2o$505b2o204b2o$811b3o$759bo50bo2bo$758b3o52bo$
758bob2o51bo$499b2o258b3o42b3o3bobo$499b2o140bobo115b2o43bo2bo$501bo
140b2o160bo$499b3o133bobo4bo161bo7b3o$498bobo135b2o167bobo4bo2bo$499b
2o135bo175bo$498bo313bo$498bo314bobo20b3o$496bo339bo2bo$836bo$836bo$
837bobo$554bo$553bo$532bo20b3o207b3o78b3o$531bo231bo2bo76bo2bo$531b3o
229bo82bo$763bo74bo7bo$764bobo38bo17bo13b3o3bobo$804b3o15b3o11b2obo$
804bob2o14bob2o10b3o$805b3o15b3o11b2o$805b3o15b2o$805b2o$680bo$681bo$
679b3o68bo$751bo$749b3o$821b3o$769bo51bo2bo$768b3o50bo$767b2obo50bo$
767b3o44b3o5bobo$505bobo161bo98b2o43bo2bo$506b2o159bobo146bo$506bo161b
2o57bo88bo5b3o$725bobo85bobo5bo2bo$726b2o96bo$824bo$821bobo22b3o$845bo
2bo$848bo$657bo190bo$658bo186bobo$474bo176bo4b3o$473bo178bo$473b3o174b
3o120b3o78b3o$772bo2bo78bo2bo$775bo78bo$775bo72bo5bo$772bobo40bo17bo
13b3o5bobo$814b3o15b3o12bob2o$813b2obo14b2obo13b3o$813b3o15b3o14b2o$
530bo282b3o16b2o$528b2o284b2o$508bo20b2o$506b2o$507b2o3$831b3o$779bo
50bo2bo$778b3o52bo$778bob2o51bo$779b3o42b3o3bobo$694bo84b2o43bo2bo$
695b2o127bo$694b2o68bo59bo7b3o$765b2o58bobo4bo2bo$764b2o66bo$832bo$
833bobo20b3o$856bo2bo$856bo$521bo334bo$522bo159bobo172bobo$520b3o160b
2o$683bo56bobo$741b2o40b3o78b3o$741bo41bo2bo76bo2bo$783bo82bo$783bo74b
o7bo$784bobo38bo17bo13b3o3bobo$824b3o15b3o11b2obo$671bo152bob2o14bob2o
10b3o$672b2o151b3o15b3o11b2o$450bo214bo5b2o152b3o15b2o$448b2o216b2o
157b2o$449b2o214b2o5$841b3o$789bo51bo2bo$788b3o50bo$504bo282b2obo50bo$
504bobo280b3o44b3o5bobo$482bo21b2o282b2o43bo2bo$482bobo351bo$482b2o
352bo5b3o$833bobo5bo2bo$844bo$844bo$841bobo22b3o$865bo2bo$868bo$868bo$
710bo154bobo$708bobo$709b2o69bo$778bobo12b3o78b3o$779b2o11bo2bo78bo2bo
$795bo78bo$795bo72bo5bo$792bobo40bo17bo13b3o5bobo$834b3o15b3o12bob2o$
535bo162bo134b2obo14b2obo13b3o$536b2o161bo133b3o15b3o14b2o$535b2o160b
3o56bo76b3o16b2o$757bo76b2o$755b3o5$851b3o$687bo111bo50bo2bo$685bobo
110b3o52bo$424bo256bo4b2o110bob2o51bo$424bobo252bobo117b3o42b3o3bobo$
424b2o254b2o117b2o43bo2bo$844bo$844bo7b3o$845bobo4bo2bo$852bo$418bo
433bo$418b2o433bobo20b3o$420bo455bo2bo$418b2o59bobo394bo$417bobo59b2o
395bo$418bo38bobo20bo396bobo$416bobo38b2o$414bo43bo$414bobo386b3o78b3o
$803bo2bo76bo2bo$803bo82bo$803bo74bo7bo$804bobo38bo17bo13b3o3bobo$844b
3o15b3o11b2obo$844bob2o14bob2o10b3o$723bobo119b3o15b3o11b2o$724b2o119b
3o15b2o$724bo68bobo49b2o$794b2o$794bo4$861b3o$551bo160bo96bo51bo2bo$
549bobo161b2o93b3o50bo$550b2o160b2o56bo36b2obo50bo$771b2o34b3o44b3o5bo
bo$770b2o36b2o43bo2bo$856bo$856bo5b3o$853bobo5bo2bo$864bo$425bo438bo$
426bo273bobo158bobo22b3o$424b3o274b2o182bo2bo$694bobo4bo186bo$438bo
256b2o191bo$437b3o255bo189bobo$436bo2b2o$436b4o$439bobo371b3o78b3o$
439bo2bo369bo2bo78bo2bo$439b3o373bo78bo$438bobo374bo72bo5bo$394bo43bob
o14bo356bobo40bo17bo13b3o5bobo$392b2o44b3o13bo399b3o15b3o12bob2o$393b
2o59b3o396b2obo14b2obo13b3o$853b3o15b3o14b2o$853b3o16b2o$854b2o2$449b
2o$449bobo$451bo$449bobo$448bo422b3o$426bo21bobo288bo79bo50bo2bo$426bo
bo19bo291bo77b3o52bo$426b2o19bo290b3o68bo8bob2o51bo$810bo8b3o42b3o3bob
o$808b3o8b2o43bo2bo$864bo$864bo7b3o$865bobo4bo2bo$431bo440bo$430bobo
439bo$430bobo131bobo161bo144bobo20b3o$431bo133b2o159bobo167bo2bo$565bo
161b2o57bo109bo$784bobo109bo$785b2o110bobo3$823b3o78b3o$823bo2bo76bo2b
o$716bo106bo82bo$717bo105bo74bo7bo$710bo4b3o106bobo38bo17bo13b3o3bobo$
711bo152b3o15b3o11b2obo$709b3o152bob2o14bob2o10b3o$865b3o15b3o11b2o$
865b3o15b2o$865b2o3$369bo$369b2o$371bo54bo$369b2o54bobo453b3o$369bo55b
obo401bo51bo2bo$426bo401b3o50bo$371b2o454b2obo50bo$371b2o454b3o44b3o5b
obo$828b2o43bo2bo$876bo$876bo5b3o$362bo510bobo5bo2bo$361bo61bobo458bo$
359b2ob2o59b2o459bo$358b5o38bobo20bo328bo127bobo22b3o$357b2o2bo39b2o
351b2o149bo2bo$357bob4o39bo350b2o68bo84bo$357bo4bo461b2o82bo$357bo2b2o
461b2o80bobo$359b2o2$355bo477b3o78b3o$355bobo474bo2bo78bo2bo$355b2o
223bo254bo78bo$581bo159bobo91bo72bo5bo$421bo157b3o160b2o88bobo40bo17bo
13b3o5bobo$420bobo319bo56bobo72b3o15b3o12bob2o$420bobo377b2o71b2obo14b
2obo13b3o$421bo378bo72b3o15b3o14b2o$387b3o483b3o16b2o$874b2o$387bobo$
390bo$386bo3bo339bo$731b2o$386bo2b2o333bo5b2o$725b2o164b3o$724b2o113bo
50bo2bo$387bo450b3o52bo$387bo450bob2o51bo$386bo452b3o42b3o3bobo$387bob
2o448b2o43bo2bo$381bo9bo492bo$382bobo4bo494bo7b3o$380b3o502bobo4bo2bo$
385bobo504bo$385b3o504bo$893bobo20b3o$416bo499bo2bo$415bobo498bo$415bo
bo498bo$416bo500bobo$368bo31b2o$366bobo31bobo$367b2o24bo8bo440b3o78b3o
$394b2o4bobo440bo2bo76bo2bo$393b2o5b2o441bo82bo$401b2o366bo73bo74bo7bo
$402b2o363bobo74bobo38bo17bo13b3o3bobo$402b2o364b2o69bo44b3o15b3o11b2o
bo$837bobo44bob2o14bob2o10b3o$838b2o45b3o15b3o11b2o$885b3o15b2o$885b2o
$330bobo59bo$330b2o60bobo$331bo38bo21b2o200bo162bo$370bobo222b2o161bo$
370b2o9bo212b2o160b3o56bo$380bobo433bo84b3o$325b2o53bobo431b3o32bo51bo
2bo$325bobo53bo29bo436b3o50bo$327b2o81bobo434b2obo50bo$326bo83bobo434b
3o44b3o5bobo$324bobo84bo436b2o43bo2bo$323b2o571bo$323b3o420bo149bo5b3o
$744bobo146bobo5bo2bo$740bo4b2o157bo$738bobo163bo$739b2o160bobo22b3o$
925bo2bo$928bo$928bo$925bobo3$853b3o78b3o$852bo2bo78bo2bo$855bo78bo$
855bo72bo5bo$852bobo40bo17bo13b3o5bobo$894b3o15b3o12bob2o$374b2o470bo
46b2obo14b2obo13b3o$374b2o30bo438bobo45b3o15b3o14b2o$405bobo436bo2bo
45b3o16b2o$405bobo437b2o47b2o$406bo3$782bobo$783b2o$783bo127b3o$859bo
50bo2bo$332bo15b3o507b3o52bo$333b2o13bo2bo506bob2o51bo$332b2o14bo2bo
507b3o42b3o3bobo$349bo2bo14bobo489b2o43bo2bo$349b3o15b2o535bo$350b2o
16bo241bo160bo132bo7b3o$608bobo161b2o131bobo4bo2bo$609b2o160b2o56bo82b
o$830b2o80bo$301b2o526b2o82bobo20b3o$301bob2o631bo2bo$303b2o51bobo577b
o$303b2o51bo2bo9b2o470bo94bo$300b2o53bo3b2o8b2o469bobo94bobo$340bo14bo
483bo2bo$303b2o33b2o419bobo78b2o$339b2o14bo2b3o37b2o360b2o101b3o78b3o$
355b2o40bo2bo352bobo4bo102bo2bo76bo2bo$357b3o36b3o355b2o107bo82bo$357b
3o394bo108bo74bo7bo$398bobo463bobo38bo17bo13b3o3bobo$293bo610b3o15b3o
11b2obo$292bo36bobo69bo502bob2o14bob2o10b3o$292b3o32bo4bo67b2o503b3o
15b3o11b2o$327bo4bo572b3o15b2o$331b2o572b2o$392bo$327b2o2b2o58bo$327b
2o2b2o58b3o$328bob3o$331bo$330bo590b3o$869bo51bo2bo$868b3o50bo$867b2ob
o50bo$364b2o501b3o44b3o5bobo$364b2o502b2o43bo2bo$319b3o594bo$319b3o
476bo117bo5b3o$319bo2bo476bo113bobo5bo2bo$320b3o474b3o124bo$320b2o602b
o$921bobo22b3o$342bo5bo596bo2bo$341b3o2bobo599bo$340b2o2bo2b2o599bo$
340bo604bobo$340b3o$340b2obo279bobo161bo$341bob2o279b2o159bobo85b3o78b
3o$341b2o281bo161b2o84bo2bo78bo2bo$342bob2o529bo78bo$314bobo24b2ob2o
529bo72bo5bo$314bo26b2ob2o526bobo40bo17bo13b3o5bobo$314bo3bo24bo570b3o
15b3o12bob2o$318bo18bobo573b2obo14b2obo13b3o$317b2o19b2o573b3o15b3o14b
2o$338bo70bo365bo137b3o16b2o$359b2o49bo365bo137b2o$359b2o47b3o358bo4b
3o$333bo436bo$332b3o433b3o$332bob2o$333bo2bo$269bo56bo7b2o595b3o$267b
2o58b2o5bo544bo50bo2bo$268b2o56b2o550b3o52bo$878bob2o51bo$879b3o42b3o
3bobo$368bo510b2o43bo2bo$366b2o556bo$367b2o555bo7b3o$925bobo4bo2bo$
932bo$323bo608bo$323bobo607bobo20b3o$301bo21b2o631bo2bo$301bobo9bo642b
o$301b2o9bobo641bo$312bobo642bobo$313bo$812bo$813b2o68b3o78b3o$812b2o
69bo2bo76bo2bo$883bo82bo$883bo74bo7bo$884bobo38bo17bo13b3o3bobo$924b3o
15b3o11b2obo$924bob2o14bob2o10b3o$925b3o15b3o11b2o$639bo285b3o15b2o$
640bo159bobo122b2o$638b3o160b2o$801bo4$941b3o$889bo51bo2bo$888b3o50bo$
308bo114bo365bo97b2obo50bo$307bobo114b2o364b2o95b3o44b3o5bobo$307bobo
113b2o358bo5b2o97b2o43bo2bo$308bo475b2o150bo$783b2o151bo5b3o$933bobo5b
o2bo$944bo$243bo700bo$243bobo695bobo22b3o$243b2o720bo2bo$968bo$968bo$
342bo622bobo$342bobo$342b2o$893b3o78b3o$892bo2bo78bo2bo$298bobo594bo
78bo$298b2o595bo72bo5bo$276bobo20bo592bobo40bo17bo13b3o5bobo$276b2o
656b3o15b3o12bob2o$277bo655b2obo14b2obo13b3o$933b3o15b3o14b2o$303bo
629b3o16b2o$302bobo523bo105b2o$302bobo521bobo$303bo523b2o4$951b3o$899b
o50bo2bo$898b3o52bo$653bo162bo81bob2o51bo$654b2o161bo81b3o42b3o3bobo$
653b2o160b3o81b2o43bo2bo$944bo$944bo7b3o$945bobo4bo2bo$952bo$952bo$
953bobo20b3o$976bo2bo$439bo365bo170bo$437bobo363bobo170bo$438b2o359bo
4b2o171bobo$298bo498bobo$297bobo498b2o$297bobo603b3o78b3o$298bo604bo2b
o76bo2bo$218bobo682bo82bo$218b2o683bo74bo7bo$219bo684bobo38bo17bo13b3o
3bobo$944b3o15b3o11b2obo$256bo687bob2o14bob2o10b3o$255b3o59bobo625b3o
15b3o11b2o$254bo2b2o58b2o626b3o15b2o$258bo59bo626b2o$207bobo48b2o$207b
o2bo49bo13bo$206bo3b2o45b4o12bo$206bo50b2o14b3o2$206bo2b3o749b3o$206b
2o701bo51bo2bo$208b3o697b3o50bo$208b3o696b2obo50bo$841bobo63b3o44b3o5b
obo$263bo2b2o574b2o64b2o43bo2bo$267b2o24bo548bo113bo$266b2o24bobo661bo
5b3o$245bo46bobo658bobo5bo2bo$245bobo14b2o2b2o25bo670bo$245b2o21bo695b
o$262b4o695bobo22b3o$264bo2bo717bo2bo$669bo160bo157bo$667bobo161b2o
155bo$668b2o160b2o153bobo3$913b3o78b3o$912bo2bo78bo2bo$915bo78bo$915bo
72bo5bo$912bobo40bo17bo13b3o5bobo$452bobo363bobo133b3o15b3o12bob2o$
453b2o364b2o132b2obo14b2obo13b3o$453bo358bobo4bo133b3o15b3o14b2o$813b
2o138b3o16b2o$216bo596bo140b2o$217b2o$216b2o70bo$287bobo$287bobo$288bo
$971b3o$293bo625bo50bo2bo$292bo625b3o52bo$292b3o623bob2o51bo$919b3o42b
3o3bobo$919b2o43bo2bo$187bo776bo$187bobo774bo7b3o$187b2o776bobo4bo2bo$
972bo$972bo$973bobo20b3o$182b2o812bo2bo$182bob2o671bo138bo$184b2o672bo
137bo$182b2o672b3o138bobo$180b2o60bobo$242b2o$180bobo37bobo20bo679b3o
78b3o$181bo38b2o61bo639bo2bo76bo2bo$221bo60bobo638bo82bo$282bobo638bo
74bo7bo$283bo640bobo38bo17bo13b3o3bobo$682bobo161bo117b3o15b3o11b2obo$
683b2o159bobo117bob2o14bob2o10b3o$683bo161b2o118b3o15b3o11b2o$965b3o
15b2o$965b2o$209bo$208b3o$208b4o2$468bo365bo$208b4o257bo365bo145b3o$
208b4o255b3o358bo4b3o93bo51bo2bo$210bo618bo98b3o50bo$827b3o97b2obo50bo
$232bo694b3o44b3o5bobo$230bobo695b2o43bo2bo$231b2o743bo$976bo5b3o$973b
obo5bo2bo$278bo705bo$277bobo704bo$269bo7bobo701bobo22b3o$267b2o9bo726b
o2bo$190bo77b2o738bo$191bo816bo$189b3o813bobo3$222bo710b3o78b3o$221b3o
708bo2bo78bo2bo$220bo2b2o710bo78bo$224bo710bo72bo5bo$224b2o706bobo40bo
17bo13b3o5bobo$226bo644bo102b3o15b3o12bob2o$223b4o645b2o99b2obo14b2obo
13b3o$158bo57bo6b2o646b2o100b3o15b3o14b2o$158bo58b2o754b3o16b2o$152b2o
62b2o756b2o$152bob2o$155b2o$155bobo$152bo3b2o$156bo116bo424bo$272bobo
424bo159bobo129b3o$272bobo422b3o160b2o77bo50bo2bo$149bobo59bo61bo586bo
77b3o52bo$149b2o60bobo724bob2o51bo$150bo38bo21b2o726b3o42b3o3bobo$189b
obo747b2o43bo2bo$189b2o793bo$984bo7b3o$985bobo4bo2bo$482bo365bo143bo$
483b2o364b2o141bo$482b2o358bo5b2o143bobo20b3o$843b2o171bo2bo$842b2o
172bo$245bobo768bo$246b2o769bobo$246bo2$943b3o78b3o$943bo2bo76bo2bo$
943bo82bo$243bo699bo74bo7bo$243bobo22bo675bobo38bo17bo13b3o3bobo$204bo
38b2o22bobo714b3o15b3o11b2obo$205b2o60bobo714bob2o14bob2o10b3o$204b2o
62bo716b3o15b3o11b2o$985b3o15b2o$985b2o6$162bobo66bo655bo113b3o$163b2o
65bobo652bobo61bo51bo2bo$163bo65bo3bo652b2o60b3o50bo$230bo2bo26b3o684b
2obo50bo$230bo2bo25bo2bo684b3o44b3o5bobo$231bobo29bo684b2o43bo2bo$259b
2o735bo$259b2o3bo731bo5b3o$264bo728bobo5bo2bo$262bo449bo162bo128bo$
260b3o450b2o161bo127bo$125bo134b2o450b2o160b3o124bobo22b3o$124bo61bobo
71bo764bo2bo$124b3o59b2o73b2o765bo$164bobo20bo73bobo764bo$164b2o94bo3b
o760bobo$165bo95b2o2$953b3o78b3o$498bo365bo87bo2bo78bo2bo$256b2o238bob
o363bobo90bo78bo$255bobo239b2o359bo4b2o90bo72bo5bo$256bo599bobo93bobo
40bo17bo13b3o5bobo$857b2o135b3o15b3o12bob2o$993b2obo14b2obo13b3o$993b
3o15b3o14b2o$993b3o16b2o$994b2o$238bo$239bo$237b3o3$220bo790b3o$218bob
o24bobo711bo50bo2bo$219b2o24b2o711b3o52bo$246bo711bob2o51bo$959b3o42b
3o3bobo$959b2o43bo2bo$1004bo$213bo790bo7b3o$211b2o792bobo4bo2bo$178bo
33b2o798bo$179bo71b2o647bobo109bo$177b3o70bobo648b2o110bobo20b3o$251bo
649bo134bo2bo$1036bo$1036bo$202bobo832bobo$200bo4bo25b3o$200bo4bo$204b
2o25bobo729b3o78b3o$234bo493bo160bo73bo2bo76bo2bo$200b2o2b2o24bo3bo
491bobo161b2o71bo82bo$162bo37b2o2b2o521b2o160b2o72bo74bo7bo$161bo39bob
3o24bo2b2o729bobo38bo17bo13b3o3bobo$140bo20b3o40bo799b3o15b3o11b2obo$
139bo63bo800bob2o14bob2o10b3o$139b3o89bo13b2o758b3o15b3o11b2o$231bo14b
2o757b3o15b2o$230bo14bo759b2o$231bob2o25b2o$235bo23bobo249bobo363bobo$
228bo4bo27bo250b2o364b2o$275bo236bo358bobo4bo$229bobo43b2o595b2o$229b
3o42bobo595bo148b3o$969bo51bo2bo$289b3o676b3o50bo$291bo675b2obo50bo$
227b2o61bo676b3o44b3o5bobo$226bobo75b2o662b2o43bo2bo$227bo77b2o709bo$
304bo711bo5b3o$319b2o692bobo5bo2bo$318bobo703bo$320bo703bo$334bo686bob
o22b3o$334b2o709bo2bo$333bobo712bo$1048bo$210bobo135b3o694bobo$211b2o
137bo$211bo137bo$363b2o608b3o78b3o$192bo171b2o550bo55bo2bo78bo2bo$193b
2o19bo148bo553bo57bo78bo$192b2o20bobo161b2o535b3o57bo72bo5bo$214b2o
161bobo592bobo40bo17bo13b3o5bobo$379bo634b3o15b3o12bob2o$393bo619b2obo
14b2obo13b3o$393b2o618b3o15b3o14b2o$181bo210bobo618b3o16b2o$180bo41b2o
790b2o$180b3o38bobo183b3o$222bo186bo331bobo161bo$202b3o203bo333b2o159b
obo$177bo27bo216b2o318bo161b2o$176b3o23bo2bo217b2o$175b2o2bo23b2o217bo
608b3o$179bo23b2o232b2o540bo50bo2bo$178bo23bo2bo230bobo539b3o52bo$174b
o27bo235bo539bob2o51bo$174bobo27b2o246bo526b3o42b3o3bobo$174b2o276b2o
73bo365bo85b2o43bo2bo$451bobo74bo365bo129bo$218b3o305b3o358bo4b3o129bo
7b3o$220bo245b3o419bo136bobo4bo2bo$219bo248bo417b3o143bo$233b2o232bo
564bo$234b2o245b2o550bobo20b3o$233bo248b2o572bo2bo$248b2o231bo574bo$
247bobo246b2o558bo$249bo245bobo559bobo$263bo233bo$263b2o246bo$262bobo
246b2o470b3o78b3o$510bobo470bo2bo76bo2bo$277b3o703bo82bo$198b2o79bo
245b3o455bo74bo7bo$197bobo78bo248bo456bobo38bo17bo13b3o3bobo$158b3o37b
o93b2o232bo497b3o15b3o11b2obo$158bo2bo131b2o729bob2o14bob2o10b3o$160b
2o4bo125bo732b3o15b3o11b2o$166bo140b2o716b3o15b2o$156bo2bo146bobo716b
2o$157b2o149bo$160b2o160bo607bo$159b3o160b2o607b2o$160bo160bobo606b2o$
157b2ob2o$157b2ob2o174b3o702b3o$157bo3bo23bo152bo650bo51bo2bo$157bo3bo
21bobo151bo650b3o50bo$158bo25b2o165b2o634b2obo50bo$352b2o633b3o44b3o5b
obo$351bo405bo230b2o43bo2bo$366b2o390bo159bobo115bo$365bobo388b3o160b
2o115bo5b3o$367bo551bo113bobo5bo2bo$381bo662bo$381b2o661bo$193b2o185bo
bo658bobo22b3o$192bobo870bo2bo$193bo201b3o670bo$397bo670bo$396bo510bo
157bobo$410b2o496b2o$411b2o488bo5b2o$410bo491b2o89b3o78b3o$425b2o474b
2o89bo2bo78bo2bo$424bobo568bo78bo$192bo233bo568bo72bo5bo$192b2o246bo
551bobo40bo17bo13b3o5bobo$191bobo246b2o592b3o15b3o12bob2o$439bobo591b
2obo14b2obo13b3o$206b3o824b3o15b3o14b2o$208bo245b3o576b3o16b2o$207bo
248bo577b2o$221b2o232bo$222b2o245b2o$221bo248b2o$236b2o231bo$235bobo
246b2o$237bo245bobo565b3o$251bo233bo513bo50bo2bo$251b2o246bo498b3o52bo
$250bobo246b2o497bob2o51bo$498bobo498b3o42b3o3bobo$265b3o731b2o43bo2bo
$267bo245b3o430bo97bo$266bo248bo428bobo97bo7b3o$280b2o232bo430b2o98bob
o4bo2bo$281b2o245b2o522bo$280bo248b2o521bo$295b2o231bo524bobo20b3o$
294bobo246b2o531bo2bo$296bo245bobo531bo$310bo233bo531bo$310b2o246bo
212bo162bo142bobo$309bobo246b2o212b2o161bo$557bobo211b2o160b3o$324b3o
676b3o78b3o$326bo245b3o428bo2bo76bo2bo$325bo248bo428bo82bo$339b2o232bo
429bo74bo7bo$340b2o245b2o415bobo38bo17bo13b3o3bobo$339bo248b2o454b3o
15b3o11b2obo$354b2o231bo456bob2o14bob2o10b3o$353bobo246b2o319bo121b3o
15b3o11b2o$355bo245bobo317bobo121b3o15b2o$369bo233bo313bo4b2o121b2o$
369b2o246bo297bobo$368bobo246b2o297b2o$616bobo$383b3o$385bo245b3o$384b
o248bo427b3o$398b2o232bo376bo51bo2bo$399b2o245b2o360b3o50bo$398bo248b
2o358b2obo50bo$413b2o231bo360b3o44b3o5bobo$412bobo246b2o345b2o43bo2bo$
414bo245bobo393bo$428bo233bo393bo5b3o$428b2o246bo376bobo5bo2bo$427bobo
246b2o386bo$675bobo386bo$442b3o616bobo22b3o$444bo245b3o392bo2bo$443bo
248bo395bo$457b2o232bo396bo$458b2o245b2o378bobo$457bo248b2o251bobo$
472b2o231bo254b2o$471bobo246b2o238bo52b3o78b3o$473bo245bobo290bo2bo78b
o2bo$487bo233bo293bo78bo$487b2o246bo279bo72bo5bo$486bobo246b2o275bobo
40bo17bo13b3o5bobo$734bobo317b3o15b3o12bob2o$501b3o549b2obo14b2obo13b
3o$503bo245b3o35bo160bo104b3o15b3o14b2o$502bo248bo33bobo161b2o102b3o
16b2o$516b2o232bo35b2o160b2o104b2o$517b2o245b2o$516bo248b2o$531b2o231b
o$530bobo246b2o$532bo245bobo$546bo233bo290b3o$546b2o246bo224bo50bo2bo$
545bobo246b2o140bobo79b3o52bo$793bobo141b2o79bob2o51bo$560b3o367bobo4b
o81b3o42b3o3bobo$562bo245b3o120b2o86b2o43bo2bo$561bo248bo120bo132bo$
575b2o232bo254bo7b3o$576b2o245b2o240bobo4bo2bo$575bo248b2o246bo$590b2o
231bo248bo$589bobo246b2o233bobo20b3o$591bo245bobo256bo2bo$605bo233bo
256bo$605b2o246bo242bo$604bobo246b2o242bobo$852bobo$619b3o$621bo245b3o
153b3o78b3o$620bo248bo153bo2bo76bo2bo$634b2o232bo154bo82bo$635b2o245b
2o139bo74bo7bo$634bo248b2o139bobo38bo17bo13b3o3bobo$649b2o231bo181b3o
15b3o11b2obo$648bobo246b2o165bob2o14bob2o10b3o$650bo245bobo76bo89b3o
15b3o11b2o$664bo233bo77bo88b3o15b2o$664b2o246bo61b3o88b2o$663bobo246b
2o$911bobo$678b3o$680bo245b3o$679bo248bo$693b2o232bo153b3o$694b2o333bo
51bo2bo$693bo106bobo161bo63b3o50bo$708b2o91b2o159bobo62b2obo50bo$707bo
bo91bo161b2o62b3o44b3o5bobo$709bo318b2o43bo2bo$723bo352bo$723b2o351bo
5b3o$722bobo348bobo5bo2bo$1084bo$737b3o344bo$739bo212bo128bobo22b3o$
738bo193bo20bo151bo2bo$752b2o176b2o19b3o154bo$753b2o176b2o175bo$752bo
352bobo$767b2o$766bobo$768bo264b3o$782bo249bo2bo$782b2o251bo$781bobo
251bo72bo$1032bobo40bo17bo13b3o$796b3o275b3o15b3o12bob2o$798bo274b2obo
14b2obo13b3o$797bo275b3o15b3o14b2o$1073b3o16b2o$1074b2o7$799b3o$798bo
2bo187bo$798b2obo188b2o$802b2o185b2o$802b2o$801bo2bo$800bo$800b3o$801b
o3$977bobo$978b2o$978bo6$788bobo$788b2o176bo$789bo116bo60b2o$906bobo
57b2o$906b2o27$813bobo$814b2o$814bo9$764bo$763bo$763b3o$881bobo$881b2o
$882bo26$829bo$830bo$828b3o12$857bo$856bo$856b3o7$846bo2b2o$850b2o$
849b2o2$845b2o2b2o$851bo$845b4o$847bo2bo12$845bo$844bobo$844bobo$845bo
10$857bo$855bobo$856b2o10$825bobo$825b2o$826bo!


1 kickback and clever shenaniganry:
x = 925, y = 1393, rule = B3/S23
5$483b3o$485bo$484bo$477bo$476bob3o$477b3obo$478bo2bo$479b2o$479bo$
478b2o$481bo$481bo$478bobo22b3o$502bo2bo$505bo$505bo$502bobo3$511b3o$
511bo2bo$511bo$505bo5bo$472bo17bo13b3o5bobo$471b3o15b3o12bob2o$470b2ob
o14b2obo13b3o$470b3o15b3o14b2o$470b3o16b2o$471b2o6$488b3o$487bo2bo$
490bo$490bo$481b3o3bobo$481bo2bo$481bo$481bo7b3o$482bobo4bo2bo$489bo$
489bo$490bobo20b3o$513bo2bo$513bo$513bo$514bobo3$521b3o$520bo2bo$456bo
66bo$455bobo57bo7bo$455bo2bo23bo17bo13b3o3bobo$456b2o23b3o15b3o11b2obo
$481bob2o14bob2o10b3o$482b3o15b3o11b2o$482b3o15b2o$482b2o6$498b3o$498b
o2bo$498bo$498bo$491b3o5bobo$490bo2bo$493bo$493bo5b3o$448b3o39bobo5bo
2bo$448bo2bo49bo$447bo3bo49bo$447b2o49bobo22b3o$448bobo71bo2bo$449b2o
2bo71bo$449bo2bo72bo$449bo72bobo$448b2ob2o$449bobo$450bo80b3o$531bo2bo
$531bo$525bo5bo$492bo17bo13b3o5bobo$491b3o15b3o12bob2o$490b2obo14b2obo
13b3o$490b3o15b3o14b2o$490b3o16b2o$491b2o$438bo$436b2o$437b2o3$508b3o$
507bo2bo$510bo$510bo$501b3o3bobo$501bo2bo$501bo$501bo7b3o$502bobo4bo2b
o$509bo$509bo$510bobo20b3o$533bo2bo$533bo$533bo$534bobo3$455bo4b3o78b
3o$454bobo3bo2bo76bo2bo$454bobo3bo82bo$455bo4bo74bo7bo$461bobo38bo17bo
13b3o3bobo$501b3o15b3o11b2obo$501bob2o14bob2o10b3o$502b3o15b3o11b2o$
502b3o15b2o$502b2o6$518b3o$466bo51bo2bo$465b3o50bo$464b2obo50bo$464b3o
44b3o5bobo$412bo52b2o43bo2bo$412bobo98bo$412b2o99bo5b3o$409bo40bo59bob
o5bo2bo$408b3o38bobo69bo$407bo2b2o37bobo69bo$407b3obo38bo67bobo22b3o$
410b2o130bo2bo$545bo$406bo39b2o97bo$405bo40b2o94bobo$405b3o40bo$446b3o
$445bobo22b3o78b3o$446b2o21bo2bo78bo2bo$445bo26bo78bo$445bo26bo72bo5bo
$443bo25bobo40bo17bo13b3o5bobo$511b3o15b3o12bob2o$510b2obo14b2obo13b3o
$510b3o15b3o14b2o$510b3o16b2o$511b2o6$528b3o$476bo50bo2bo$475b3o52bo$
475bob2o51bo$476b3o42b3o3bobo$476b2o43bo2bo$521bo$521bo7b3o$522bobo4bo
2bo$529bo$428bo100bo$427b3o100bobo20b3o$417bo8bo2b2o122bo2bo$418bo7b3o
124bo$416b3o134bo$452bobo99bobo$453b2o$426bo26bo$429bo50b3o78b3o$426bo
3bo49bo2bo76bo2bo$427b2ob2o48bo82bo$480bo74bo7bo$481bobo38bo17bo13b3o
3bobo$521b3o15b3o11b2obo$382bo46bo91bob2o14bob2o10b3o$380b2o48b2o90b3o
15b3o11b2o$381b2o46b2o91b3o15b2o$522b2o6$538b3o$486bo51bo2bo$485b3o50b
o$414bo69b2obo50bo$414bobo67b3o44b3o5bobo$414b2o69b2o43bo2bo$533bo$
533bo5b3o$530bobo5bo2bo$421bo119bo$420bobo118bo$420bobo115bobo22b3o$
421bo140bo2bo$565bo$565bo$562bobo3$490b3o78b3o$489bo2bo78bo2bo$492bo
78bo$492bo72bo5bo$489bobo40bo17bo13b3o5bobo$531b3o15b3o12bob2o$468bo
61b2obo14b2obo13b3o$469bo60b3o15b3o14b2o$467b3o60b3o16b2o$531b2o5$416b
o$356b2o57bobo130b3o$355bo2bo56bobo27bo50bo50bo2bo$354b3o59bo26bobo49b
3o52bo$444b2o49bob2o51bo$356bobo137b3o42b3o3bobo$496b2o43bo2bo$359bo
181bo$358b2o181bo7b3o$542bobo4bo2bo$549bo$350bo198bo$349bo200bobo20b3o
$349b3o57bo163bo2bo$389bobo16b3o162bo$389b2o17bob2o161bo$390bo16b2o
165bobo$407b2o$407b2o$411bo88b3o78b3o$410b2o88bo2bo76bo2bo$408bobo89bo
82bo$407bo2bo89bo74bo7bo$408bobo90bobo38bo17bo13b3o3bobo$408b3o130b3o
15b3o11b2obo$408b2obo129bob2o14bob2o10b3o$408bo2bo130b3o15b3o11b2o$
409bo132b3o15b2o$542b2o2$400bo$375bo23b3o$374bobo21b2o2bo$373b2ob2o34b
o$374bo2bo35b2o143b3o$374bo3bo33b2o68bo23bo51bo2bo$374bo23b2o83b2o20b
3o50bo$399b3o80b2o20b2obo50bo$402bo101b3o44b3o5bobo$374b2o24b3o102b2o
43bo2bo$375bo24b2o151bo$553bo5b3o$367bo4bo177bobo5bo2bo$368bo3bob2ob2o
21bobo158bo$366b3o2b2ob2ob2o22b2o158bo$372bobo26bo56bobo97bobo22b3o$
373bo85b2o121bo2bo$459bo125bo$585bo$582bobo3$510b3o78b3o$509bo2bo78bo
2bo$326bo52bo5bo2bo123bo78bo$324b2o54b2o3bob2o123bo72bo5bo$325b2o52b2o
6b2o120bobo40bo17bo13b3o5bobo$551b3o15b3o12bob2o$550b2obo14b2obo13b3o$
389b2o159b3o15b3o14b2o$389b2o159b3o16b2o$551b2o3$380bo$380bobo$358bo
21b2o$358bobo207b3o$358b2o156bo50bo2bo$368bo146b3o52bo$367bobo145bob2o
51bo$367bobo146b3o42b3o3bobo$368bo147b2o43bo2bo$561bo$561bo7b3o$562bob
o4bo2bo$428bo140bo$426bobo140bo$427b2o69bo71bobo20b3o$496bobo94bo2bo$
497b2o94bo$593bo$307bo286bobo$306b3o$305b2o2bo$416bo103b3o78b3o$417bo
102bo2bo76bo2bo$415b3o56bo45bo82bo$305b2o168bo44bo74bo7bo$306b3o164b3o
45bobo38bo17bo13b3o3bobo$309bo251b3o15b3o11b2obo$307b3o251bob2o14bob2o
10b3o$307b2o54bo198b3o15b3o11b2o$362bobo197b3o15b2o$362bobo197b2o$307b
obo53bo$308b2o$308bo3$578b3o$526bo51bo2bo$297bo227b3o50bo$296b3o225b2o
bo50bo$296bob2o224b3o44b3o5bobo$297bo2bo224b2o43bo2bo$298b2o273bo$298b
o56bobo215bo5b3o$355b2o213bobo5bo2bo$333bobo20bo224bo$333b2o246bo$334b
o243bobo22b3o$602bo2bo$605bo$605bo$328b2o28bo243bobo$287bo40bobo26bobo
$287bobo40b2o25bobo$287b2o40bo28bo171b3o78b3o$327bobo199bo2bo78bo2bo$
326b2o204bo78bo$326b3o182bobo18bo72bo5bo$512b2o15bobo40bo17bo13b3o5bob
o$512bo58b3o15b3o12bob2o$570b2obo14b2obo13b3o$570b3o15b3o14b2o$570b3o
16b2o$571b2o$430bo$431b2o$430b2o56bo$489b2o$488b2o$338bo249b3o$337b3o
196bo50bo2bo$323bo12bo2b2o194b3o52bo$322bobo11b3o196bob2o51bo$322bobo
211b3o42b3o3bobo$323bo29bo182b2o43bo2bo$352bobo226bo$336bo15bobo226bo
7b3o$339bo13bo228bobo4bo2bo$336bo3bo248bo$337b2ob2o247bo$590bobo20b3o$
613bo2bo$613bo$310bo302bo$308bobo25b2o2b2o272bobo$309b2o25bo2b2o$339bo
$335b2o203b3o78b3o$540bo2bo76bo2bo$540bo82bo$540bo74bo7bo$541bobo38bo
17bo13b3o3bobo$581b3o15b3o11b2obo$581bob2o14bob2o10b3o$262b3o53bo263b
3o15b3o11b2o$265bo51bobo4bo257b3o15b2o$262b3o52bobo4bobo255b2o$302bo
15bo5b2o22bo$302bobo42bobo$265b2o35b2o43bobo177bo$265b2o81bo179bo$526b
3o$598b3o$546bo51bo2bo$257bo287b3o50bo$255b2o287b2obo50bo$256b2o286b3o
44b3o5bobo$446bo98b2o43bo2bo$444bobo146bo$445b2o57bo88bo5b3o$502bobo
85bobo5bo2bo$503b2o96bo$601bo$598bobo22b3o$622bo2bo$625bo$625bo$622bob
o2$311b2o$285b3o23b2o30bo206b3o78b3o$285bo2bo53bobo204bo2bo78bo2bo$
284bo3bo53bobo207bo78bo$285bo2b2o53bo208bo72bo5bo$287bo261bobo40bo17bo
13b3o5bobo$285b2o304b3o15b3o12bob2o$284b3o303b2obo14b2obo13b3o$284b3o
303b3o15b3o14b2o$590b3o16b2o$239bo351b2o$238b3o45b2o$237b2o2bo43bob2o$
237bo3bo43bo3bo$237bob2o47bo$237b2o$274bo333b3o$275b2o279bo50bo2bo$
274b2o13bo265b3o52bo$290bo6bo257bob2o51bo$238b2o2bo45b3o5bobo257b3o42b
3o3bobo$238bobobo53bob2o36bo219b2o43bo2bo$241bo56bo36b3o263bo$306b2o
26b2o2bo202bo59bo7b3o$299bob2o3b2o26bo207b2o58bobo4bo2bo$300b2o32b3o
204b2o66bo$240bobo91b2obo271bo$241b2o92bob2o271bobo20b3o$241bo52bo40b
2o296bo2bo$292b2o42bob2o293bo$269b2o22b2o40b2ob2o293bo$271bo63b2ob2o
119bobo172bobo$272bo64bo122b2o$269bobo188bo56bobo$270bo247b2o40b3o78b
3o$272bobo243bo41bo2bo76bo2bo$272bobo285bo82bo$225bo47bo286bo74bo7bo$
224bo336bobo38bo17bo13b3o3bobo$224b3o374b3o15b3o11b2obo$264bobo334bob
2o14bob2o10b3o$264b2o336b3o15b3o11b2o$265bo58bo277b3o15b2o$323bo278b2o
$260b3o60b3o$259bo2bo15b3o$259b2o2bo13bo3bo19b2o$262b2o37b2o$282bo$
259bo17b5o336b3o$257b2o19bo287bo51bo2bo$258b2o305b3o50bo$564b2obo50bo$
278b2o284b3o44b3o5bobo$278b2o285b2o43bo2bo$278bo334bo$277b2o334bo5b3o$
275b2obob3o327bobo5bo2bo$281b2o338bo$275bo2bo11bo330bo$276b3o9bobo327b
obo22b3o$270bo18b2o351bo2bo$269b3o373bo$268bo2b2o372bo$268bo3bo369bobo
$255bo14bobo$254bobo300bo$254bobo10b2ob2o283bobo12b3o78b3o$255bo13bo
286b2o11bo2bo78bo2bo$296b2o274bo78bo$296b2o274bo72bo5bo$569bobo40bo17b
o13b3o5bobo$269b4o338b3o15b3o12bob2o$269bobobo77bo123bo134b2obo14b2obo
13b3o$272bo79bo123bo133b3o15b3o14b2o$350b3o121b3o56bo76b3o16b2o$534bo
76b2o$532b3o$273bo$273bo$201bo70bo$199b2o$200b2o426b3o$576bo50bo2bo$
575b3o52bo$300bo274bob2o51bo$298b2o276b3o42b3o3bobo$299b2o275b2o43bo2b
o$250bo370bo$249bobo369bo7b3o$249bobo3bo366bobo4bo2bo$250bo4bobo371bo$
233bo21b2o372bo$233bobo394bobo20b3o$233b2o418bo2bo$653bo$653bo$654bobo
3$580b3o78b3o$580bo2bo76bo2bo$580bo82bo$580bo74bo7bo$581bobo38bo17bo
13b3o3bobo$621b3o15b3o11b2obo$621bob2o14bob2o10b3o$622b3o15b3o11b2o$
622b3o15b2o$570bobo49b2o$571b2o$245bo325bo$244bobo$244bobo$245bo$638b
3o$365bo123bo96bo51bo2bo$366b2o122b2o93b3o50bo$365b2o122b2o56bo36b2obo
50bo$548b2o34b3o44b3o5bobo$547b2o36b2o43bo2bo$633bo$633bo5b3o$175bo
454bobo5bo2bo$175bobo463bo$175b2o464bo$638bobo22b3o$662bo2bo$274bo390b
o$274bobo388bo$274b2o386bobo3$230bobo357b3o78b3o$230b2o8bo348bo2bo78bo
2bo$208bobo20bo7bobo350bo78bo$208b2o29bobo350bo72bo5bo$209bo30bo348bob
o40bo17bo13b3o5bobo$631b3o15b3o12bob2o$630b2obo14b2obo13b3o$630b3o15b
3o14b2o$630b3o16b2o$631b2o6$648b3o$596bo50bo2bo$595b3o52bo$586bo8bob2o
51bo$587bo8b3o42b3o3bobo$585b3o8b2o43bo2bo$641bo$193bo447bo7b3o$192b3o
447bobo4bo2bo$192bob2o39bo413bo$191b2o41bobo412bo$191b2o41bobo144bo
123bo144bobo20b3o$191b2o42bo143bobo121bobo167bo2bo$195bo184b2o122b2o
57bo109bo$194b2o365bobo109bo$192bobo367b2o110bobo$191bo2bo$192bobo$
148bo43b3o405b3o78b3o$147bobo42b2obo404bo2bo76bo2bo$147bob2o41bo2bo
404bo82bo$149bo43bo406bo74bo7bo$601bobo38bo17bo13b3o3bobo$150bob2o95bo
bo389b3o15b3o11b2obo$151b2o96b2o390bob2o14bob2o10b3o$250bo391b3o15b3o
11b2o$642b3o15b2o$145bo50bo8bo436b2o$143b2o52b2o6b2o$144b2o50b2o7b3o$
205b2o$205b2o$206bo23bo$207bobo19bobo426b3o$208bo20bobo374bo51bo2bo$
230bo374b3o50bo$604b2obo50bo$199bo404b3o44b3o5bobo$199bobo403b2o43bo2b
o$177bo21b2o452bo$177bobo473bo5b3o$177b2o471bobo5bo2bo$661bo$661bo$
658bobo22b3o$682bo2bo$600bo84bo$601b2o82bo$600b2o80bobo3$610b3o78b3o$
609bo2bo78bo2bo$612bo78bo$394bobo121bobo91bo72bo5bo$225bo169b2o122b2o
88bobo40bo17bo13b3o5bobo$224bobo168bo123bo56bobo72b3o15b3o12bob2o$224b
obo350b2o71b2obo14b2obo13b3o$158bo66bo351bo72b3o15b3o14b2o$159b2o489b
3o16b2o$158b2o491b2o5$225bo$224bo443b3o$224b3o389bo50bo2bo$120bo494b3o
52bo$120b2o493bob2o51bo$122bo493b3o42b3o3bobo$120b2o494b2o43bo2bo$120b
o540bo$661bo7b3o$122b2o538bobo4bo2bo$122b2o545bo$669bo$670bobo20b3o$
220bo472bo2bo$113bo105bobo471bo$112bo61bobo42bobo471bo$112b3o59b2o44bo
473bobo$151b2obo20bo$149bo4bo$148bo5bo465b3o78b3o$148bo471bo2bo76bo2bo
$147b2ob2obo466bo82bo$147b2obo2bo466bo74bo7bo$149b4o468bobo38bo17bo13b
3o3bobo$150b3o463bo44b3o15b3o11b2obo$614bobo44bob2o14bob2o10b3o$147bo
467b2o45b3o15b3o11b2o$145b2o515b3o15b2o$146b2o514b2o3$410bo123bo$411bo
123bo$409b3o121b3o56bo$593bo84b3o$159bo431b3o32bo51bo2bo$158b3o13bo40b
o409b3o50bo$158bob2o10bobo39bobo407b2obo50bo$157b2o14b2o39bobo407b3o
44b3o5bobo$157b2o56bo409b2o43bo2bo$157b2o514bo$161bo511bo5b3o$160b2o
508bobo5bo2bo$158bobo40bo479bo$157bo2bo38b2o480bo$132bo25bobo39b2o476b
obo22b3o$133bo24b3o541bo2bo$131b3o24b2obo543bo$158bo2bo543bo$159bo542b
obo3$630b3o78b3o$629bo2bo78bo2bo$632bo78bo$632bo72bo5bo$629bobo40bo17b
o13b3o5bobo$89bo581b3o15b3o12bob2o$87b2o534bo46b2obo14b2obo13b3o$88b2o
120bo411bobo45b3o15b3o14b2o$209bobo409bo2bo45b3o16b2o$209bobo410b2o47b
2o$210bo5$143bo544b3o$143bobo490bo50bo2bo$122bo20b2o490b3o52bo$123b2o
510bob2o51bo$117b2o517b3o42b3o3bobo$117bo518b2o43bo2bo$119b3o559bo$
116bo5bo301bo123bo132bo7b3o$117bo4bo302b2o122b2o131bobo4bo2bo$118bo2bo
302b2o122b2o56bo82bo$120bo486b2o80bo$115bo490b2o82bobo20b3o$114bo72bob
o523bo2bo$114b3o71b2o523bo$188bo429bo94bo$71bo133bo411bobo94bobo$70b3o
131bobo409bo2bo$69b2o2bo130bobo410b2o$69bo3bo131bo434b3o78b3o$69bob2o
102bo464bo2bo76bo2bo$69b2o56b3o45bobo462bo82bo$127bo2bo15bo28b2o21b2o
440bo74bo7bo$129b2o16b2o23bo24b3o441bobo38bo17bo13b3o3bobo$146b2o23b3o
23bo2bo480b3o15b3o11b2obo$125bo2bo41bo2b2o22b2ob2o479bob2o14bob2o10b3o
$70b2o2bo51b2o42b3obo22b2ob2o480b3o15b3o11b2o$70bobobo54b2o42b2o21b2ob
2o481b3o15b2o$73bo54b3o66bo484b2o$129bo39bo28b3o$126b2ob2o37bo30bo$
126b2ob2o37b3o$72bobo51bo3bo$73b2o51bo3bo$73bo53bo570b3o$646bo51bo2bo$
645b3o50bo$644b2obo50bo$644b3o44b3o5bobo$645b2o43bo2bo$693bo$693bo5b3o
$690bobo5bo2bo$57bo643bo$56bo644bo$56b3o639bobo22b3o$722bo2bo$193b2o
530bo$192bobo530bo$193bo528bobo2$440bo123bo$438bobo121bobo85b3o78b3o$
113bo325b2o122b2o84bo2bo78bo2bo$111b2o539bo78bo$91bo20b2o538bo72bo5bo$
89b2o558bobo40bo17bo13b3o5bobo$90b2o599b3o15b3o12bob2o$690b2obo14b2obo
13b3o$43bo646b3o15b3o14b2o$42b3o135bo509b3o16b2o$42b3o136bo509b2o$179b
3o$42b4o$41b5o$41b2obo117bo$160bobo14bobo$161b2o14b2o529b3o$42b2o134bo
477bo50bo2bo$41bo613b3o52bo$188b2o465bob2o51bo$40bobo2bo141bobo466b3o
42b3o3bobo$40bob3obo95b2o28b2o14bo467b2o43bo2bo$39b3ob2obo97bo27bobo
526bo$40bobo45bo56bo28b2o525bo7b3o$40b3o46bo52bobo28bo528bobo4bo2bo$
41bo45b3o53bo27bobo535bo$145bobo22b2o537bo$145bobo22b3o537bobo20b3o$
146bo586bo2bo$187b2o544bo$188b2o543bo$137bobo47bo546bobo$137b2o63b2o$
49bo88bo62bobo$47bobo153bo456b3o78b3o$48b2o167bo442bo2bo76bo2bo$217b2o
441bo82bo$216bobo441bo74bo7bo$661bobo38bo17bo13b3o3bobo$231b3o467b3o
15b3o11b2obo$233bo467bob2o14bob2o10b3o$232bo469b3o15b3o11b2o$246b2o
454b3o15b2o$88bo158b2o204bobo121bobo122b2o$67b2o19b2o156bo207b2o122b2o
$25bobo39bob2o19bo170b2o191bo123bo$25b2o42b2o17b2o74b2o94bobo$26bo42b
2o17bo74bobo96bo$66b2o96bo111bo$90b2o184b2o440b3o$69b2o19b2o183bobo
388bo51bo2bo$665b3o50bo$290b3o371b2obo50bo$292bo371b3o44b3o5bobo$81bo
209bo373b2o43bo2bo$80bo224b2o406bo$59bo20b3o223b2o405bo5b3o$58bo246bo
404bobo5bo2bo$58b3o259b2o399bo$319bobo399bo$321bo396bobo22b3o$335bo
406bo2bo$152bobo180b2o408bo$153b2o179bobo408bo$153bo588bobo$349b3o$
102bo248bo$103b2o41bo203bo319b3o78b3o$102b2o42bobo215b2o303bo2bo78bo2b
o$146b2o11b2o204b2o305bo78bo$158bobo203bo307bo72bo5bo$159bo219b2o288bo
bo40bo17bo13b3o5bobo$378bobo330b3o15b3o12bob2o$111bo2bo265bo329b2obo
14b2obo13b3o$111bob2o279bo315b3o15b3o14b2o$113b2o279b2o314b3o16b2o$62b
obo328bobo315b2o$63b2o95b3o$63bo51b2o45bo245b3o$115b2o44bo248bo$175b2o
232bo$176b2o245b2o$175bo248b2o302b3o$106bo83b2o231bo252bo50bo2bo$106bo
bo80bobo246b2o235b3o52bo$100bo5b2o83bo245bobo29bo123bo81bob2o51bo$101b
o103bo233bo30bo123bo81b3o42b3o3bobo$bo78bo18b3o103b2o246bo14b3o121b3o
81b2o43bo2bo$o80bo122bobo246b2o266bo$3o76b3o370bobo266bo7b3o$219b3o
500bobo4bo2bo$221bo245b3o259bo$220bo248bo259bo$112b2o120b2o232bo261bob
o20b3o$112b2o121b2o516bo2bo$96bo2b2o133bo518bo$95bobo151b2o502bo$57bo
36bo5bob3o143bobo503bobo$55b2o37bobobob4ob2o143bo$35bo20b2o35b2obobo7b
o157bo$33b2o58b2obobobo4b2o157b2o414b3o78b3o$34b2o59b5o163bobo414bo2bo
76bo2bo$102b2o576bo82bo$278b3o399bo74bo7bo$280bo400bobo38bo17bo13b3o3b
obo$279bo441b3o15b3o11b2obo$293b2o426bob2o14bob2o10b3o$294b2o426b3o15b
3o11b2o$293bo428b3o15b2o$123bo184b2o412b2o$123b2o182bobo$122bobo184bo$
323bo$137b3o183b2o$139bo182bobo$99b3o22b2o12bo599b3o$107b2o43b2o183b3o
346bo51bo2bo$107b2o44b2o184bo345b3o50bo$78bo73bo185bo345b2obo50bo$79bo
87b2o183b2o330b3o44b3o5bobo$77b3o86bobo184b2o330b2o43bo2bo$168bo183bo
380bo$182bo184b2o364bo5b3o$182b2o182bobo361bobo5bo2bo$181bobo184bo372b
o$382bo358bo$196b3o183b2o354bobo22b3o$198bo182bobo378bo2bo$197bo409bo
157bo$211b2o183b3o209b2o155bo$94bo117b2o184bo208b2o153bobo$95b2o114bo
185bo$94b2o130b2o183b2o$225bobo184b2o276b3o78b3o$227bo183bo277bo2bo78b
o2bo$241bo184b2o264bo78bo$241b2o182bobo264bo72bo5bo$95bo144bobo184bo
261bobo40bo17bo13b3o5bobo$95bo345bo289b3o15b3o12bob2o$95bo6b2o151b3o
183b2o287b2obo14b2obo13b3o$31bo70b2o153bo182bobo287b3o15b3o14b2o$31bob
o222bo473b3o16b2o$9bo21b2o237b2o183b3o273b2o$9bobo259b2o184bo$9b2o259b
o185bo$285b2o183b2o$284bobo184b2o$286bo183bo$300bo184b2o261b3o$300b2o
182bobo209bo50bo2bo$299bobo184bo208b3o52bo$500bo194bob2o51bo$314b3o
183b2o194b3o42b3o3bobo$316bo182bobo194b2o43bo2bo$315bo425bo$329b2o183b
3o224bo7b3o$330b2o184bo225bobo4bo2bo$329bo185bo233bo$344b2o183b2o218bo
$343bobo184b2o218bobo20b3o$345bo183bo243bo2bo$359bo184b2o227bo$359b2o
182bobo227bo$358bobo184bo228bobo$559bo$373b3o183b2o$375bo182bobo139b3o
78b3o$374bo325bo2bo76bo2bo$388b2o183b3o124bo82bo$389b2o184bo124bo74bo
7bo$388bo185bo126bobo38bo17bo13b3o3bobo$403b2o183b2o33bo117b3o15b3o11b
2obo$402bobo184b2o30bobo117bob2o14bob2o10b3o$404bo183bo33b2o118b3o15b
3o11b2o$418bo184b2o137b3o15b2o$418b2o182bobo137b2o$417bobo184bo$618bo$
432b3o183b2o$434bo182bobo$433bo$447b2o309b3o$448b2o256bo51bo2bo$6bobo
438bo165b3o89b3o50bo$6b2o454b2o149b3o88b2obo50bo$7bo453bobo149bo2bo87b
3o44b3o5bobo$463bo150b3o88b2o43bo2bo$477bo136b2o137bo$477b2o274bo5b3o$
476bobo271bobo5bo2bo$761bo$491b3o267bo$493bo264bobo22b3o$492bo289bo2bo
$506b2o277bo$507b2o276bo$506bo275bobo$521b2o$520bobo$522bo187b3o78b3o$
536bo172bo2bo78bo2bo$536b2o174bo78bo$535bobo174bo72bo5bo$709bobo40bo
17bo13b3o5bobo$550b3o198b3o15b3o12bob2o$552bo197b2obo14b2obo13b3o$551b
o198b3o15b3o14b2o$565b2o183b3o16b2o$566b2o183b2o$565bo$580b2o38bo$579b
obo39b2o$581bo38b2o$595bo$595b2o171b3o$594bobo119bo50bo2bo$715b3o52bo$
609b3o103bob2o51bo$611bo104b3o42b3o3bobo$610bo105b2o43bo2bo$624b2o135b
o$595b2o28b2o134bo7b3o$594bo2bo26bo137bobo4bo2bo$593b3o173bo$769bo$
595bobo172bobo20b3o$793bo2bo$598bo194bo$597b2o194bo$794bobo2$589bo$
588bo131b3o78b3o$588b3o129bo2bo76bo2bo$720bo82bo$720bo74bo7bo$623b3o
95bobo38bo17bo13b3o3bobo$761b3o15b3o11b2obo$621bo5bo133bob2o14bob2o10b
3o$621bo5bo134b3o15b3o11b2o$621bo5bo134b3o15b2o$762b2o$623b3o5$778b3o$
726bo51bo2bo$725b3o50bo$724b2obo50bo$724b3o44b3o5bobo$725b2o43bo2bo$
572b3o198bo$571bo2bo198bo5b3o$575bo194bobo5bo2bo$571b2o208bo$571b2o3bo
204bo$576bo42bo158bobo22b3o$574bo44bo182bo2bo$572b3o44bo185bo$572b2o
231bo$572bo33bo8b3o3b3o178bobo$573b2o32bo$573bobo29b3o11bo$572bo3bo42b
o110b3o78b3o$573b2o44bo109bo2bo78bo2bo$732bo78bo$732bo72bo5bo$729bobo
40bo17bo13b3o5bobo$771b3o15b3o12bob2o$770b2obo14b2obo13b3o$577bo192b3o
15b3o14b2o$575bobo192b3o16b2o$576b2o193b2o6$788b3o$736bo50bo2bo$613b3o
119b3o52bo$735bob2o51bo$556b2obo51bo5bo118b3o42b3o3bobo$554bo4bo51bo5b
o118b2o43bo2bo$553bo5bo51bo5bo163bo$553bo227bo7b3o$552b2ob2obo54b3o
166bobo4bo2bo$552b2obo2bo230bo$554b4o231bo$555b3o232bobo20b3o$813bo2bo
$552bo260bo$550b2o261bo$551b2o261bobo3$740b3o78b3o$740bo2bo76bo2bo$
740bo82bo$740bo74bo7bo$741bobo38bo17bo13b3o3bobo$781b3o15b3o11b2obo$
609bo171bob2o14bob2o10b3o$609bo10bo161b3o15b3o11b2o$609bo11b2o159b3o
15b2o$620b2o160b2o$605b3o3b3o2$609bo$609bo$609bo$798b3o$746bo51bo2bo$
590bobo152b3o50bo$591b2o151b2obo50bo$591bo152b3o44b3o5bobo$745b2o43bo
2bo$793bo$793bo5b3o$790bobo5bo2bo$801bo$801bo$563bo234bobo22b3o$564b2o
256bo2bo$563b2o260bo$825bo$603b3o216bobo2$601bo5bo$601bo5bo142b3o78b3o
$601bo5bo141bo2bo78bo2bo$752bo78bo$603b3o146bo72bo5bo$749bobo40bo17bo
13b3o5bobo$526bo264b3o15b3o12bob2o$526bobo261b2obo14b2obo13b3o$526b2o
262b3o15b3o14b2o$790b3o16b2o$791b2o6$808b3o$756bo50bo2bo$636bo118b3o
52bo$634bobo118bob2o51bo$635b2o119b3o42b3o3bobo$600bo155b2o43bo2bo$
599bobo199bo$599bobo199bo7b3o$600bo201bobo4bo2bo$809bo$809bo$810bobo
20b3o$833bo2bo$833bo$833bo$834bobo3$760b3o78b3o$760bo2bo76bo2bo$760bo
82bo$579bo180bo74bo7bo$577bobo181bobo38bo17bo13b3o3bobo$578b2o221b3o
15b3o11b2obo$801bob2o14bob2o10b3o$802b3o15b3o11b2o$802b3o15b2o$802b2o
2$593bo$592b3o$591b2o2bo$592b5o$501bobo88b2o2bo221b3o$501b2o90bo2bo
169bo51bo2bo$502bo90bobo169b3o50bo$764b2obo50bo$764b3o44b3o5bobo$765b
2o43bo2bo$813bo$813bo5b3o$810bobo5bo2bo$821bo$821bo$583bo234bobo22b3o$
582bo66bobo190bo2bo$582b3o65b2o193bo$650bo194bo$842bobo3$770b3o78b3o$
769bo2bo78bo2bo$772bo78bo$586bo185bo72bo5bo$585bobo181bobo40bo17bo13b
3o5bobo$585bobo223b3o15b3o12bob2o$586bo223b2obo14b2obo13b3o$810b3o15b
3o14b2o$810b3o16b2o$811b2o6$828b3o$776bo50bo2bo$775b3o52bo$775bob2o51b
o$776b3o42b3o3bobo$776b2o43bo2bo$821bo$821bo7b3o$822bobo4bo2bo$477bo
128bo222bo$476bo130bo221bo$476b3o102bo23b3o222bobo20b3o$580bobo270bo2b
o$580bobo270bo$581bo271bo$854bobo3$780b3o78b3o$780bo2bo76bo2bo$780bo
82bo$559bo105bo114bo74bo7bo$557b2o107bo114bobo38bo17bo13b3o3bobo$558b
2o104b3o154b3o15b3o11b2obo$821bob2o14bob2o10b3o$822b3o15b3o11b2o$822b
3o15b2o$822b2o4$574bo$573b3o$572b2o2bo261b3o$572bo213bo51bo2bo$572b3o
210b3o50bo$572b2obo208b2obo50bo$573bob2o207b3o44b3o5bobo$573b2o210b2o
43bo2bo$574bob2o255bo$573b2ob2o255bo5b3o$573b2ob2o252bobo5bo2bo$575bo
265bo$841bo$838bobo22b3o$862bo2bo$865bo$865bo$565bo296bobo$564b3o$564b
ob2o$565bo2bo221b3o78b3o$453bo112b2o52bo168bo2bo78bo2bo$451b2o113bo54b
2o169bo78bo$452b2o166b2o170bo72bo5bo$789bobo40bo17bo13b3o5bobo$831b3o
15b3o12bob2o$830b2obo14b2obo13b3o$830b3o15b3o14b2o$830b3o16b2o$831b2o
2$555bo$555bobo$533bo21b2o122bo$533bobo144b2o$533b2o144b2o167b3o$796bo
50bo2bo$795b3o52bo$795bob2o51bo$796b3o42b3o3bobo$796b2o43bo2bo$841bo$
841bo7b3o$842bobo4bo2bo$849bo$849bo$850bobo20b3o$873bo2bo$873bo$873bo$
874bobo2$589bo$590bo209b3o78b3o$588b3o209bo2bo76bo2bo$800bo82bo$800bo
74bo7bo$801bobo38bo17bo13b3o3bobo$841b3o15b3o11b2obo$841bob2o14bob2o
10b3o$842b3o15b3o11b2o$842b3o15b2o$578bo263b2o$576bobo$577b2o57bo$634b
obo$635b2o2$858b3o$806bo51bo2bo$805b3o50bo$804b2obo50bo$804b3o44b3o5bo
bo$805b2o43bo2bo$530bobo320bo$530b2o321bo5b3o$508bobo20bo163bo154bobo
5bo2bo$508b2o183bobo165bo$509bo184b2o165bo$858bobo22b3o$882bo2bo$885bo
$885bo$882bobo3$810b3o78b3o$809bo2bo78bo2bo$812bo78bo$812bo72bo5bo$
809bobo40bo17bo13b3o5bobo$851b3o15b3o12bob2o$850b2obo14b2obo13b3o$850b
3o15b3o14b2o$850b3o16b2o$603bo247b2o$604b2o$603b2o4$868b3o$816bo50bo2b
o$815b3o52bo$815bob2o51bo$591bobo222b3o42b3o3bobo$592b2o222b2o43bo2bo$
592bo56bobo209bo$650b2o209bo7b3o$650bo211bobo4bo2bo$869bo$869bo$870bob
o20b3o$893bo2bo$893bo$893bo$506bo387bobo$505bo$484bo20b3o$483bo224bobo
109b3o78b3o$483b3o223b2o109bo2bo76bo2bo$709bo110bo82bo$820bo74bo7bo$
821bobo38bo17bo13b3o3bobo$861b3o15b3o11b2obo$861bob2o14bob2o10b3o$862b
3o15b3o11b2o$862b3o15b2o$862b2o6$878b3o$826bo51bo2bo$825b3o50bo$824b2o
bo50bo$619bo204b3o44b3o5bobo$617bobo205b2o43bo2bo$618b2o253bo$873bo5b
3o$870bobo5bo2bo$881bo$881bo$878bobo22b3o$902bo2bo$607bo297bo$608bo
296bo$606b3o293bobo3$830b3o78b3o$829bo2bo78bo2bo$832bo78bo$832bo72bo5b
o$829bobo40bo17bo13b3o5bobo$871b3o15b3o12bob2o$870b2obo14b2obo13b3o$
482bo387b3o15b3o14b2o$480b2o388b3o16b2o$460bo20b2o388b2o$458b2o$459b2o
18$632bobo$633b2o$633bo7$621bo$622b2o$621b2o!


The second one has the added advantage that the forward rake is demolished in the process, leaving only the 31, 2 track. It could start making LWSSs immediately next. The new track could make a forward rake that contacts the LWSSs (which have a good chance of passing through, but some extra care might need to be taken) to synthesize the helix. Plans are coming together!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

316 generations translates a line of spaceships by (horiz, vert) = (20, 92). I'm writing down the separation vectors between internal spaceships of varying velocities, and the angle they make with the horizontal.

still life => (-20, -92) = (5, 23) = +77.7
(-1,-1)c/4 => (-316/4-20, -316/4-92) = (-99, -171) = (11, 19) = +59.9
(1,-1)c/4 => (316/4-20, -316/4-92) = (59, -171) = -71.0
(1,1)c/4 => (316/4-20, 316/4-92) = (59, -13) = -12.4
(-1,1)c/4 => (-316/4-20, 316/4-92) = (99, 13) = +7.5
(0,1)c/2 => (-20, 316/2-92) = (-20, 66) = (10, -33) = -73.1
(1,0)c/2 => (316/2-20, -92) = (138, -92) = (3, -2) = -33.7

That should be all that matters - there's no plan to make downward or backward *WSS rakes. Mostly I just did this to see where the predicted intersection between any two streams is. (I had grossly overestimated the angular difference between stills and (-1,-1)c/4 spaceships in my first rake, and so took up a bunch of space as they crept closer together). It also gives a reasonable estimate of how long the helix is safe from SE gliders, as the angle between their paths is 2.1 degrees.
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Re: (23,5)c/79 spaceship components

Postby codeholic » October 24th, 2014, 6:38 pm

It seems that your tracks are somewhat dirty. Do you have an idea how to get rid of excess gliders, besides heisenburning them in the spaceship stream? I think a clean set of trails would be quite useful.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » October 24th, 2014, 10:25 pm

It is more difficult to do anything cleanly as there is no gliderless reaction. However, the only real dirty portions of these components are upon startup. I try to incorporate the suppressing reactions wherever possible, even if at the cost of letting out a few early gliders, so that the output gliders are independent of the necessary H reactions down the line.

I know that once the p79 LWSS stream is synthesized, it will be nearly impossible to heisenburn the SE gliders in the remaining p158 helix - the pair of glider streams that cleanly vanishes on the LWSS was a lucky break for now. My main plan was to use a forward rake to turn the rightmost stream into stills, and use the bit of freedom I have in the other streams to have them all successively vanish on the stills. With this, the end product would be clean; I just haven't put too much effort into it yet.
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Re: (23,5)c/79 spaceship components

Postby HartmutHolzwart » October 27th, 2014, 7:50 am

... experience shows, that a working puffer can converted into a clean space ship somehow.

So it is a solid first step to search for a front end that works without caring too much about possible debris, except that it shouldn't be in the way ...
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Re: (23,5)c/79 spaceship components

Postby codeholic » October 27th, 2014, 2:51 pm

HartmutHolzwart wrote:... experience shows, that a working puffer can converted into a clean space ship somehow.

I wouldn't be so optimistic (though I'd like to be). I don't think there was a comparable incident of turning a puffer into a clean spaceship, while there were yet no known spaceships of that velocity. And since it's neither diagonal nor orthogonal speed, you wouldn't be able to use one or more pairs of symmetric copies to mutually annihilate exhausts. In this case the best you would end up is a growing spaceship.

HartmutHolzwart wrote:So it is a solid first step to search for a front end that works without caring too much about possible debris, except that it shouldn't be in the way ...

In order to build a front end, you need to know, how the spine should look like.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » October 27th, 2014, 5:14 pm

I still am not sure how the spine should look. It seems plausible that the entire ship could be constructed with only a single pair of 31, 2 tracks. It would be an increasing distance from the construction to the helix, but it's just numbers. It also seems plausible that we could have a cycle of three 31, 2 tracks. The rearmost one could produce LWSS and then self-destruct, the middle one could produce the p158 forward rake mates, and the frontmost one could kick back a debris stream to make a new 31, 2 track (as well as clean up other debris). This would keep the construction relatively close to the helix at the cost of only the size of one 31, 2 multiplicator. The downside of the latter approach is that it would be difficult to ensure all the elements pass through all three 31, 2 tracks.

Also worth mentioning, a simple mechanism exists to take a p79 SW stream, a p79 NE stream, and a p158 SE stream and make the appropriate p158 pairs to mate with the LWSS. It just alternates between kickbacks and vanishing reactions. Ensuring the right glider color while maintaining a clean production of the SW stream is what has proven tricky with this.

I am not too concerned about debris, it is a constant on starting any new track (i.e, the actual reactions occurring on the trails are clean), and thus easy to eliminate with smart forward raking. Also I have reduced the debris output of the p158 LWSS rake from my first post (HFs in alternating states of disarray) to just a p158 block trail, which could be consumed to produce p158 SE gliders anyway.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » November 30th, 2014, 9:48 pm

I've slowly been plugging away at this, and am excited to announce the first synthesis of a helix LWSS!
knightship first synth.mc
(99.16 KiB) Downloaded 240 times


The construction process is very generic, creating and then thawing frozen beehives of the correct color into the two necessary streams. With enough space, the components will always pass through. The only way in which this particular synthesis is lucky is that I was able to piggyback the filtering of the p158 SE gliders off the E LWSS rake debris. In general, I think it would be possible to produce them separately, and there will be more space to do so for constructions further from the helix itself.

Edit: actually, in later constructions we don't even need to filter the SE gliders, we can make the NE stream p79 and just filter them out on the block left behind using one of the following:
x = 158, y = 56, rule = B3/S23
23b2o57b2o57b2o$6bo16b2o41bo15b2o42bo14b2o$6b2o58b2o58b2o$5bobo57bobo
57bobo2$20b3o57b3o57b3o$2b2o18bo39b2o18bo39b2o18bo$bobo17bo39bobo17bo
39bobo17bo$3bo31b2o26bo31b2o26bo31b2o$17bo18b2o39bo18b2o39bo18b2o$17b
2o16bo41b2o16bo41b2o16bo$16bobo57bobo57bobo2$31b3o57b3o57b3o$33bo59bo
59bo$32bo59bo59bo25$20b2o66b2o59b2o$6bo13b2o44bo21b2o36bo22b2o$6b2o58b
2o58b2o$5bobo57bobo57bobo2$20b3o57b3o57b3o$2b2o18bo39b2o18bo39b2o18bo$
bobo17bo39bobo17bo39bobo17bo$3bo31b2o26bo31b2o26bo31b2o$17bo18b2o39bo
18b2o39bo18b2o$17b2o16bo41b2o16bo41b2o16bo$16bobo57bobo57bobo2$31b3o
57b3o57b3o$33bo59bo59bo$32bo59bo59bo!
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Re: (23,5)c/79 spaceship components

Postby simsim314 » December 1st, 2014, 3:33 am

biggiemac wrote:excited to announce the first synthesis of a helix LWSS!


This is very nice design pattern, great job.

biggiemac wrote:The construction process is very generic, creating and then thawing frozen beehives of the correct color into the two necessary streams


I was wondering do you have "edge shooting" (*WSS salvo + glider salvo) recipes for all the *WSS?
Last edited by simsim314 on December 1st, 2014, 4:25 am, edited 1 time in total.
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Re: (23,5)c/79 spaceship components

Postby codeholic » December 1st, 2014, 3:45 am

This contraption already looks pretty impressive! Congratulations to your progress!

What troubles me is that some of lightweight spaceships in the helix may be too close to synthesize them one by one. Have you checked that it is synthesisable with known recipes? It would be a pity, if it appeared too late, that there is no synthesisable p158 helix, but only, say, p237. I'll run my helix building script later today, hopefully there are enough helices to choose from (though some of them might involve heavyweight spaceships, for which we don't have synthesis yet).
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Re: (23,5)c/79 spaceship components

Postby biggiemac » December 1st, 2014, 3:56 am

That was one of the first things I checked, all is well.
x = 539, y = 1197, rule = B3/S23
17$153bob3o$152b2o2b2o$153b3obo$153b4o$153b2o8bo$151b5o6b3o$150bobo2bo
6bob2o$151bo3b3o5b3o$157bo5b2o$140b3o$140bo2bo$140bo$140bo$141bobo6$
140bo$139b3o$138b2obo$138b3o$139b2o3$141bo$140b3o$140bob2o$141b3o$141b
2o22bo$164b3o$164bob2o$117bo47b3o$116bobo46b2o$116bo2bo$117b2o6bo$125b
o47bo$172b3o$171b2obo$171b3o$165b3o4b2o$132b3o15b3o12bo2bo$131bo2bo14b
o2bo12bo$134bo17bo12bo$124bo5bo3bo17bo13bobo$124bobo7bo14bobo$124b2o5b
obo5$150bo$149b3o$149bob2o$150b3o$143bo6b2o$142b3o$141b2obo$141b3o7bo$
142b2o6b3o$149b2obo$149b3o$150b2o23bo$174b3o$173b2obo$173b3o$174b2o3$
183bo$182b3o$182bob2o$183b3o$175b3o5b2o$142b3o15b3o11bo2bo$142bo2bo14b
o2bo13bo$104b3o35bo17bo16bo$104bo2bo34bo3bo13bo13bobo$103bo3bo34bo18bo
bo$103b2o38bobo$104bobo$105b2o2bo$105bo2bo$105bo$104b2ob2o51bo$105bobo
51b3o$106bo51b2obo$158b3o$153bo5b2o$152b3o$152bob2o$153b3o5bo$153b2o5b
3o$160bob2o$161b3o$161b2o22bo$94bo89b3o$92b2o90bob2o$93b2o90b3o$185b2o
3$193bo$192b3o$191b2obo$191b3o$185b3o4b2o$152b3o15b3o12bo2bo$151bo2bo
14bo2bo12bo$154bo17bo12bo$113b3o34bo3bo17bo13bobo$113bo2bo37bo14bobo$
113bo37bobo$113bo$114bobo2$108bo$107bobo60bo$107bobo59b3o$108bo60bob2o
$170b3o$163bo6b2o$162b3o$161b2obo$161b3o7bo$162b2o6b3o$119bo49b2obo$
118b3o48b3o$117b2obo49b2o23bo$117b3o74b3o$118b2o73b2obo$193b3o$194b2o
2$100b3o$99bo2bo100bo$99b2obo99b3o$202bob2o$203b3o$68bo126b3o5b2o$68bo
bo28b2o61b3o15b3o11bo2bo$68b2o29b4o59bo2bo14bo2bo13bo$100bo2bo58bo17bo
16bo$101bobo19b3o36bo3bo13bo13bobo$101bobo18bo2bo36bo18bobo$125bo37bob
o$125bo$103bo18bobo$101bobo$102b2o$180bo$179b3o$178b2obo$178b3o$173bo
5b2o$172b3o$172bob2o$173b3o5bo$173b2o5b3o$87bobo39bo50bob2o$87b2o39b3o
50b3o$88bo39bob2o49b2o22bo$129b3o72b3o$129b2o73bob2o$205b3o$205b2o3$
213bo$212b3o$211b2obo$211b3o$205b3o4b2o$172b3o15b3o12bo2bo$171bo2bo14b
o2bo12bo$174bo17bo12bo$133b3o34bo3bo17bo13bobo$133bo2bo37bo14bobo$133b
o37bobo$133bo$134bobo2$43bobo$43b2o145bo$44bo144b3o$189bob2o$190b3o$
183bo6b2o$182b3o$181b2obo$116bobo62b3o7bo$117b2o63b2o6b3o$117bo21bo49b
2obo$138b3o48b3o$137b2obo49b2o23bo$137b3o74b3o$138b2o73b2obo$213b3o$
214b2o3$63bo159bo$62bo159b3o$62b3o157bob2o$223b3o$215b3o5b2o$182b3o15b
3o11bo2bo$182bo2bo14bo2bo13bo$182bo17bo16bo$143b3o36bo3bo13bo13bobo$
142bo2bo36bo18bobo$145bo37bobo$145bo$142bobo3$200bo$199b3o$198b2obo$
198b3o$193bo5b2o$192b3o$192bob2o$193b3o5bo$19bo173b2o5b3o$18bo130bo50b
ob2o$18b3o127b3o50b3o$148bob2o49b2o22bo$149b3o72b3o$149b2o73bob2o$225b
3o$225b2o$132bo$133bo$131b3o99bo$232b3o$231b2obo$231b3o$225b3o4b2o$
192b3o15b3o12bo2bo$191bo2bo14bo2bo12bo$194bo17bo12bo$153b3o34bo3bo17bo
13bobo$153bo2bo37bo14bobo$153bo37bobo$153bo$154bobo3$210bo$209b3o$209b
ob2o$210b3o$203bo6b2o$202b3o$201b2obo$201b3o7bo$202b2o6b3o$159bo49b2ob
o$158b3o48b3o$157b2obo49b2o23bo$157b3o74b3o$158b2o73b2obo$233b3o$234b
2o3$243bo$242b3o$242bob2o$243b3o$235b3o5b2o$202b3o15b3o11bo2bo$202bo2b
o14bo2bo13bo$202bo17bo16bo$146bo16b3o36bo3bo13bo13bobo$147b2o13bo2bo
36bo18bobo$146b2o17bo37bobo$165bo$162bobo3$220bo$219b3o$218b2obo$218b
3o$213bo5b2o$212b3o$212bob2o$213b3o5bo$213b2o5b3o$169bo50bob2o$168b3o
50b3o$168bob2o49b2o22bo$169b3o72b3o$169b2o73bob2o$245b3o$245b2o3$253bo
$252b3o$251b2obo$251b3o$245b3o4b2o$212b3o15b3o12bo2bo$211bo2bo14bo2bo
12bo$214bo17bo12bo$173b3o34bo3bo17bo13bobo$173bo2bo37bo14bobo$173bo37b
obo$173bo$174bobo3$230bo$229b3o$229bob2o$162bo67b3o$160bobo60bo6b2o$
161b2o59b3o$221b2obo$221b3o7bo$222b2o6b3o$179bo49b2obo$178b3o48b3o$
177b2obo49b2o23bo$177b3o74b3o$178b2o73b2obo$253b3o$254b2o3$263bo$262b
3o$262bob2o$263b3o$255b3o5b2o$222b3o15b3o11bo2bo$222bo2bo14bo2bo13bo$
222bo17bo16bo$183b3o36bo3bo13bo13bobo$182bo2bo36bo18bobo$185bo37bobo$
185bo$182bobo3$240bo$239b3o$238b2obo$238b3o$233bo5b2o$232b3o$232bob2o$
233b3o5bo$233b2o5b3o$189bo50bob2o$188b3o50b3o$188bob2o49b2o22bo$189b3o
72b3o$175bobo11b2o73bob2o$176b2o87b3o$176bo88b2o3$273bo$272b3o$271b2ob
o$271b3o$265b3o4b2o$232b3o15b3o12bo2bo$231bo2bo14bo2bo12bo$234bo17bo
12bo$193b3o34bo3bo17bo13bobo$193bo2bo37bo14bobo$193bo37bobo$193bo$194b
obo3$250bo$249b3o$249bob2o$250b3o$243bo6b2o$242b3o$241b2obo$241b3o7bo$
242b2o6b3o$199bo49b2obo$198b3o48b3o$197b2obo49b2o23bo$197b3o74b3o$198b
2o73b2obo$273b3o$274b2o3$283bo$282b3o$282bob2o$283b3o$191bo83b3o5b2o$
192bo49b3o15b3o11bo2bo$190b3o49bo2bo14bo2bo13bo$242bo17bo16bo$203b3o
36bo3bo13bo13bobo$202bo2bo36bo18bobo$205bo37bobo$205bo$202bobo3$260bo$
259b3o$258b2obo$258b3o$253bo5b2o$252b3o$252bob2o$253b3o5bo$253b2o5b3o$
209bo50bob2o$208b3o50b3o$208bob2o49b2o22bo$209b3o72b3o$209b2o73bob2o$
285b3o$285b2o3$293bo$292b3o$291b2obo$291b3o$285b3o4b2o$252b3o15b3o12bo
2bo$251bo2bo14bo2bo12bo$254bo17bo12bo$213b3o34bo3bo17bo13bobo$213bo2bo
37bo14bobo$213bo37bobo$213bo$214bobo2$205bo$206b2o62bo$205b2o62b3o$
269bob2o$270b3o$263bo6b2o$262b3o$261b2obo$261b3o7bo$262b2o6b3o$219bo
49b2obo$218b3o48b3o$217b2obo49b2o23bo$217b3o74b3o$218b2o73b2obo$293b3o
$294b2o3$303bo$302b3o$302bob2o$303b3o$295b3o5b2o$262b3o15b3o11bo2bo$
262bo2bo14bo2bo13bo$262bo17bo16bo$223b3o36bo3bo13bo13bobo$222bo2bo36bo
18bobo$225bo37bobo$225bo$222bobo3$280bo$279b3o$278b2obo$278b3o$273bo5b
2o$272b3o$272bob2o$273b3o5bo$273b2o5b3o$221bo7bo50bob2o$219bobo6b3o50b
3o$220b2o6bob2o49b2o22bo$229b3o72b3o$229b2o73bob2o$305b3o$305b2o3$313b
o$312b3o$311b2obo$311b3o$305b3o4b2o$272b3o15b3o12bo2bo$271bo2bo14bo2bo
12bo$274bo17bo12bo$233b3o34bo3bo17bo13bobo$233bo2bo37bo14bobo$233bo37b
obo$233bo$234bobo3$290bo$289b3o$289bob2o$290b3o$283bo6b2o$282b3o$281b
2obo$281b3o7bo$282b2o6b3o$239bo49b2obo$238b3o48b3o$237b2obo49b2o23bo$
237b3o74b3o$238b2o73b2obo$313b3o$314b2o3$162b2o159bo$158b4ob2o69bobo
85b3o$158b6o71b2o85bob2o$159b4o72bo87b3o$315b3o5b2o$282b3o15b3o11bo2bo
$282bo2bo14bo2bo13bo$282bo17bo16bo$243b3o36bo3bo13bo13bobo$242bo2bo36b
o18bobo$245bo37bobo$245bo$242bobo3$300bo$299b3o$298b2obo$298b3o$293bo
5b2o$292b3o$292bob2o$293b3o5bo$293b2o5b3o$249bo50bob2o$248b3o50b3o$
248bob2o49b2o22bo$249b3o72b3o$249b2o73bob2o$325b3o$325b2o3$333bo$332b
3o$331b2obo$331b3o$325b3o4b2o$292b3o15b3o12bo2bo$291bo2bo14bo2bo12bo$
294bo17bo12bo$253b3o34bo3bo17bo13bobo$253bo2bo37bo14bobo$253bo37bobo$
253bo$228b4o22bobo$227b6o$174b2o51b4ob2o$172bo4bo53b2o77bo$178bo130b3o
$172bo5bo130bob2o$173b6o40bo90b3o$219b2o82bo6b2o$218bobo81b3o$301b2obo
$214bo86b3o7bo$206b3o5b2o86b2o6b3o$208bo4bobo43bo49b2obo$207bo40b2o8b
3o48b3o$249b2o6b2obo49b2o23bo$248bo8b3o74b3o$258b2o73b2obo$236b2o5b2o
88b3o$235bobo6b2o88b2o$237bo5bo2$343bo$342b3o$342bob2o$343b3o$335b3o5b
2o$302b3o15b3o11bo2bo$302bo2bo14bo2bo13bo$302bo17bo16bo$302bo3bo13bo
13bobo$302bo18bobo$303bobo5$320bo$319b3o$318b2obo$318b3o$313bo5b2o$
312b3o$312bob2o$313b3o5bo$313b2o5b3o$269bo50bob2o$268b3o50b3o$268bob2o
49b2o22bo$269b3o72b3o$269b2o73bob2o$242b6o97b3o$241bo5bo97b2o$247bo$
241bo4bo$243b2o108bo$352b3o$233b3o115b2obo$235bo115b3o$234bo110b3o4b2o
$312b3o15b3o12bo2bo$221b2o5b3o80bo2bo14bo2bo12bo$222b2o6bo83bo17bo12bo
$221bo7bo33b2o45bo3bo17bo13bobo$262bobo49bo14bobo$264bo46bobo2$251bo6b
2o$251b2o4bobo$250bobo6bo$330bo$329b3o$329bob2o$330b3o$323bo6b2o$322b
3o$321b2obo$321b3o7bo$322b2o6b3o$329b2obo$329b3o$330b2o23bo$354b3o$
353b2obo$353b3o$354b2o2$250b4o$249bo3bo109bo$253bo108b3o$249bo2bo109bo
b2o$363b3o$355b3o5b2o$322b3o15b3o11bo2bo$322bo2bo14bo2bo13bo$322bo17bo
16bo$322bo3bo13bo13bobo$322bo18bobo$323bobo5$340bo$339b3o$338b2obo$
338b3o$333bo5b2o$332b3o$332bob2o$333b3o5bo$333b2o5b3o$340bob2o$341b3o$
341b2o22bo$364b3o$364bob2o$365b3o$365b2o3$373bo$372b3o$371b2obo$371b3o
$365b3o4b2o$332b3o15b3o12bo2bo$331bo2bo14bo2bo12bo$334bo17bo12bo$330bo
3bo17bo13bobo$334bo14bobo$331bobo$318bo2bo$322bo$318bo3bo$319b4o$350bo
$304b2o43b3o$305b2o42bob2o$304bo45b3o$299bo43bo6b2o$299b2o41b3o$298bob
o40b2obo$334bo6b3o7bo$304bo29b2o6b2o6b3o$304b2o27bobo13b2obo$303bobo
43b3o$328b2o20b2o23bo$329b2o43b3o$328bo44b2obo$373b3o$333b2o39b2o$334b
2o$333bo$383bo$382b3o$382bob2o$383b3o$375b3o5b2o$360b3o11bo2bo$360bo2b
o13bo$360bo16bo$360bo13bobo$361bobo6$360bo$359b3o$358b2obo$358b3o$353b
o5b2o$352b3o$352bob2o$353b3o5bo$353b2o5b3o$360bob2o$361b3o$361b2o22bo$
384b3o$384bob2o$385b3o$385b2o3$393bo$392b3o$391b2obo$391b3o$385b3o4b2o
$370b3o12bo2bo$369bo2bo12bo$372bo12bo$372bo13bobo$278b2o89bobo$276bo4b
o$282bo$276bo5bo$277b6o2$370bo$369b3o$369bob2o$370b3o$363bo6b2o$362b3o
$361b2obo$361b3o7bo$362b2o6b3o$369b2obo$369b3o$370b2o23bo$394b3o$393b
2obo$393b3o$394b2o3$403bo$402b3o$402bob2o$403b3o$395b3o5b2o$380b3o11bo
2bo$380bo2bo13bo$380bo16bo$380bo13bobo$381bobo6$380bo$379b3o$378b2obo$
378b3o$373bo5b2o$372b3o$372bob2o$373b3o5bo$373b2o5b3o$346b6o28bob2o$
345bo5bo29b3o$351bo29b2o22bo$345bo4bo53b3o$347b2o55bob2o$405b3o$337b3o
65b2o$339bo$338bo$413bo$325b2o5b3o77b3o$326b2o6bo76b2obo$325bo7bo33b2o
42b3o$366bobo36b3o4b2o$368bo21b3o12bo2bo$389bo2bo12bo$355bo6b2o28bo12b
o$305b6o44b2o4bobo28bo13bobo$304bo5bo43bobo6bo25bobo$310bo$304bo4bo$
306b2o3$390bo$389b3o$389bob2o$390b3o$390b2o3$391bo$390b3o$389b2obo$
389b3o$390b2o23bo$414b3o$413b2obo$413b3o$414b2o3$423bo$422b3o$422bob2o
$423b3o$415b3o5b2o$400b3o11bo2bo$400bo2bo13bo$400bo16bo$400bo13bobo$
401bobo6$316b6o78bo$315bo5bo77b3o$321bo76b2obo$315bo4bo77b3o$317b2o56b
2o22b2o$373bo4bo$379bo$373bo5bo21bo$374b6o20b3o$400bob2o$401b3o$365b2o
34b2o22bo$364bobo57b3o$366bo57bob2o$425b3o$353bo6b2o63b2o$353b2o4bobo$
352bobo6bo$394b3o36bo$396bo35b3o$395bo35b2obo$431b3o$382b2o5b3o33b3o4b
2o$383b2o6bo18b3o12bo2bo$382bo7bo18bo2bo12bo$412bo12bo$412bo13bobo$
409bobo13$411bo$410b3o$409b2obo$409b3o$386b2o22b2o23bo$384bo4bo44b3o$
390bo42b2obo$384bo5bo42b3o$337b4o44b6o43b2o$336b6o$336b4ob2o$340b2o34b
2o65bo$375bobo64b3o$377bo64bob2o$443b3o$364bo6b2o62b3o5b2o$364b2o4bobo
47b3o11bo2bo$363bobo6bo47bo2bo13bo$405b3o12bo16bo$407bo12bo13bobo$406b
o14bobo2$393b2o5b3o$394b2o6bo$393bo7bo13$445bo$444b3o$444bob2o$445b3o$
445b2o3$453bo$452b3o$451b2obo$451b3o$445b3o4b2o$430b3o12bo2bo$429bo2bo
12bo$432bo12bo$432bo13bobo$429bobo2$409b2o$405b4ob2o$405b6o$406b4o2$
396b2o$397b2o$396bo2$374b2o8b2o5b2o$372bo4bo5bobo6b2o$378bo6bo5bo34bo$
372bo5bo47b2o$373b6o46bobo2$421bo33bo$413b3o5b2o31b3o$415bo4bobo30b2ob
o$414bo38b3o$454b2o3$463bo$462b3o$462bob2o$463b3o$455b3o5b2o$454bo2bo$
457bo$457bo$454bobo18$465bo$464b3o$464bob2o$465b3o$465b2o3$386b4o83bo$
385b6o81b3o$385b4ob2o50b6o23b2obo$389b2o50bo5bo23b3o$447bo17b3o4b2o$
441bo4bo18bo2bo$431b3o9b2o20bo$433bo31bo$432bo33bobo2$419b2o5b3o$420b
2o6bo$419bo7bo33b2o$460bobo$462bo2$449bo6b2o$449b2o4bobo$448bobo6bo15$
483bo$482b3o$482bob2o$483b3o$475b3o5b2o$474bo2bo$477bo$477bo$474bobo6$
458b2o$454b4ob2o$454b6o$443b2o10b4o$444b2o$443bo2$431b2o5b2o$430bobo6b
2o$432bo5bo34bo$473b2o$472bobo2$468bo$460b3o5b2o$414b2o46bo4bobo$412bo
4bo43bo$418bo$412bo5bo$413b6o74bo$492b3o$491b2obo$491b3o$492b2o29$503b
o$502b3o$502bob2o$503b3o$503b2o7$482b6o$481bo5bo$487bo$470b3o8bo4bo$
472bo10b2o$471bo2$458b2o5b3o$459b2o6bo$458bo7bo33b2o$499bobo$501bo2$
488bo6b2o$488b2o4bobo$487bobo6bo!
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Re: (23,5)c/79 spaceship components

Postby codeholic » December 1st, 2014, 4:02 am

Great! :D
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Re: (23,5)c/79 spaceship components

Postby biggiemac » December 3rd, 2014, 4:45 am

2 LWSS synth. I've been trying to get clever with leftover stills to clean up the glider streams created on the left track, I squeezed this one quite close. This beast is fascinating to watch at x8, because it's still small enough (pop 33.6k) to render quickly, and the complex things on the left side go all over the place.
knightship two synth.mc
(149.79 KiB) Downloaded 219 times

The next helix element is a MWSS, for which I don't yet have the NE forward rake designed. After that it should be smooth sailing.
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Re: (23,5)c/79 spaceship components

Postby codeholic » December 3rd, 2014, 3:02 pm

I can't really understand the structure behind it, but it looks like we can now see a spine showing up, at least for LWSS synthesis. Could you maybe elaborate a little bit how you do the arithmetic of periods and offsets, maybe illustrating it with some components labeled with extended LifeHistory states?

Overall, it seems that the monster is going to be the most alien creature I've seen so far in Conway's Game of Life. Running on glider tracks, supported by spaceships, but moving with a completely ridiculous speed and slope, and being a universal constructor, to say the least.
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Re: (23,5)c/79 spaceship components

Postby simsim314 » December 3rd, 2014, 3:41 pm

codeholic wrote:Overall, it seems that the monster is going to be the most alien creature I've seen so far in Conway's Game of Life


I was also thinking about knighship caterpillars design, as the engineless ship can be adjusted to support knightships as well. This idea to use glider salvos + *WSS salvo as "dynamic" edge shooters (that don't stand on the path of raising helix, like it would if we use regular caterpillar), is great design pattern, that any caterpillar knightship will need to implement (or something of the sort).

I see what "alien" about biggiemac specific design, but think of it as first caterpillar- knightship. As the currently existing knightships are moving very slowly, and current caterpillars designs are not so "knightship" friendly (the raising helix is usually "edgy" - and works only with orthogonal ships), in this sense biggiemac design is real break-through.
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Re: (23,5)c/79 spaceship components

Postby codeholic » December 3rd, 2014, 4:12 pm

simsim314 wrote:I was also thinking about knighship caterpillars design, as the engineless ship can be adjusted to support knightships as well.

Not without major changes to the design. The problem is that you can't read an oblique tape with spaceships moving orthogonally.
simsim314 wrote:This idea to use glider salvos + *WSS salvo as "dynamic" edge shooters (that don't stand on the path of raising helix, like it would if we use regular caterpillar), is great design pattern, that any caterpillar knightship will need to implement (or something of the sort).

But maybe I just didn't understand this part.
simsim314 wrote:(the raising helix is usually "edgy" - and works only with orthogonal ships),

I don't see why it wouldn't work with gliders. Actually I was about to write a helix script for glider streams, but there has been no good use for it, so I didn't have enough motivation.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » December 3rd, 2014, 6:36 pm

Really, in essence, it is just a caterpillar. The most noteworthy difference is that the tracks on which it runs are in motion, unlike the blocks or blinkers of previous caterpillars, so timing is important. The most frustrating design difficulty is that EVERY reaction is a rake, even if the rake is useless.

There are additional constraints on what components can be used to synthesize the helix due to the direction. The post I made recently about angles shows that slow salvos are out and that SE gliders are almost useless, because they don't give a reasonable approach angle to the helix. Angles are a function of both the component velocity and the caterpillar velocity though, so the same might not be the case for every design - in a 13, 1 caterpillar the SE gliders would be able to help synthesize N *WSS.

In general, I'm sure gliders and *WSS could work together to form a helix as long as the caterpillar velocity was sufficiently low that gliders would reach, but there would also likely be "coming from infinity" problems.

I'm afraid I'm not very familiar with LifeHistory and how it would help demonstrate the inner workings of this knightship. The "spine" of this ship is a pair of track clusters. In terms of the notation I set up, the first is a 31-2 track. This is capable of constructing beehive trails of alternating parity. It can also use the leftmost track as a rake and the 2 track can cleanly rephase itself.

The second is a 316-2-190-263 track. It begins as a 31-2 track to construct the other two, and then rephases the 2 component 15 times (31-95*15 mod 342 = 316) to be useful in the glider pair rake (that's the large stream of rephasers towards the top of the second cluster). Summing 316 + 2 + 190 + 263 mod 342, we get 87: the leftmost and rightmost elements of this cluster are at the proper track separation to set up the forward rake. The second track from the right can either activate the forward rake, or destroy the boat, in either case staying in phase with the rest. If this trio and the 2 track both act once, this allows the second cluster to rephase cleanly, as it does 9 times between the first and second synthesis. This cluster is pretty straightforward.

The real work that exists in designing this is matching everything up. I begin with the NE gliders. Changing the time of their creation by 4 generations translates them any multiple of (2,2) NE, thus on the same hd. Adding one more rephasing reaction before creating them translates them 3hd. So I match them to the parity of the helix with regards to the LWSS+2G->LWSS synthesis (in the second case, I also matched them to the block debris), and then I paste in the viable LWSS side rake streams. If I delay the NE rake creation by 52 generations, it once again matches, so it gives an array of possible LWSS streams. I select the one that looks most promising, and trace it backwards to the 31-2 cluster. The cluster itself has only a 1/342 chance of being able to create that stream as is, but it can create beehive trails and produce a new 31-2 cluster that always can (with at most one rephasing beforehand to account for the parity of the beehive trail). Cluster creation is still not clean, but I've been getting creative with still lives that absorb the glider output. This new track produces the LWSS and then I find a way to destroy it. Often times the NE rake also needs glider support; by burning a beehive trail this is an easy task.

Hope this helps! If you can give me advice as to how to illustrate this in LifeHistory that would be fantastic, as I get the feeling that my explanations thus far are not in satisfyingly clear language..
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Re: (23,5)c/79 spaceship components

Postby simsim314 » December 3rd, 2014, 7:20 pm

codeholic wrote:Not without major changes to the design. The problem is that you can't read an oblique tape with spaceships moving orthogonally.


Why exactly? Am I missing something?

x = 241, y = 761, rule = B3/S23
16b2o$15b3o$15b3o$15b3o$15b2obo$16b3o$17bo4$27b2o$26b3o$26b3o$26b2obo$
27b3o$28bo14$15b2o$14b3o$14b3o$14b3o$14b2obo$15b3o$16bo2$b2o$3o$3o$3o$
2obo$b3o$2bo64$64bobo$67bo$63bo3bo$63bo3bo$67bo17b2o$64bo2bo17b3o$65b
3o17b3o$85b3o$84bob2o$84b3o$85bo39$62bobo$61bo$61bo3bo$61bo$61bo2bo$
61b3o23$67b2o$66b3o$66b3o$66b3o$66b2obo$67b3o$68bo4$78b2o$77b3o$77b3o$
77b2obo$78b3o$79bo14$66b2o$65b3o$65b3o$65b3o$65b2obo$66b3o$67bo2$52b2o
$51b3o$51b3o$51b3o$51b2obo$52b3o$53bo64$115bobo$118bo$114bo3bo$114bo3b
o$118bo17b2o$115bo2bo17b3o$116b3o17b3o$136b3o$135bob2o$135b3o$136bo39$
113bobo$112bo$112bo3bo$112bo$112bo2bo$112b3o23$118b2o$117b3o$117b3o$
117b3o$117b2obo$118b3o$119bo4$129b2o$128b3o$128b3o$128b2obo$129b3o$
130bo14$117b2o$116b3o$116b3o$116b3o$116b2obo$117b3o$118bo2$103b2o$102b
3o$102b3o$102b3o$102b2obo$103b3o$104bo64$166bobo$169bo$165bo3bo$165bo
3bo$169bo17b2o$166bo2bo17b3o$167b3o17b3o$187b3o$186bob2o$186b3o$187bo
39$164bobo$163bo$163bo3bo$163bo$163bo2bo$163b3o23$169b2o$168b3o$168b3o
$168b3o$168b2obo$169b3o$170bo4$180b2o$179b3o$179b3o$179b2obo$180b3o$
181bo14$168b2o$167b3o$167b3o$167b3o$167b2obo$168b3o$169bo2$154b2o$153b
3o$153b3o$153b3o$153b2obo$154b3o$155bo64$217bobo$220bo$216bo3bo$216bo
3bo$220bo17b2o$217bo2bo17b3o$218b3o17b3o$238b3o$237bob2o$237b3o$238bo
39$215bobo$214bo6b2o$214bo3bobo2bo$214bo5bobo$214bo2bo3bo$214b3o44$
221b2o$220bo2bo$220bobo$221bo!


codeholic wrote:I don't see why it wouldn't work with gliders.


You need three directions - two direction for collision, and another for helix stream output. You can have two glider streams that generate *WSS stream, you can have two *WSS stream that generate glider stream, you can have *WSS + glider stream that generate glider or *WSS helix. But you can't manage with gliders alone. And gliders limited to c/4 - but other than that, you can use gliders of course.
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Re: (23,5)c/79 spaceship components

Postby biggiemac » December 3rd, 2014, 7:54 pm

Proposed MWSS synth mechanism. The pairs can be created from a normal rake + kickback like the pairs for the LWSS, the third relies on the slow salvo inserter posted elsewhere (thanks simsim314!) The p158 block filters out appropriately, and everything else is known. All that's left is using the 316-2-190-263 track to construct that boat/ship combo.

x = 394, y = 177, rule = B3/S23
$116bobo$117b2o$117bo40$132bo$133bo$131b3o2$157b2o$157bobo$158b2o$154b
2o$153bobo183b2o$154bo184b2o18$152b2o$152bobo$153b2o$149b2o$148bobo$
149bo9$b2o$obo$2bo143bo$16bo130b2o$6b2o8b2o128b2o$5bobo7bobo$7bo$21bo
8b3o$21b2o9bo$20bobo8bo115b2o$45b2o100bobo$35b3o8b2o100b2o$37bo7bo98b
2o$36bo23b2o81bobo183b2o$50b2o7bobo82bo184b2o$51b2o8bo$50bo24bo$65b2o
8b2o$64bobo7bobo$66bo$80bo8b3o$80b2o9bo$79bobo8bo$104b2o$94b3o8b2o200b
2o$96bo7bo201b4o$95bo23b2o185b2ob2o$109b2o7bobo187b2o$110b2o8bo$109bo
24bo19b2o$124b2o8b2o17bobo223bo$123bobo7bobo19bo222b3o$125bo43bo207b2o
bo$139bo8b3o18b2o206b3o$139b2o9bo17bobo206b3o$138bobo8bo228b2o$163b2o
18b3o$153b3o8b2o19bo$155bo7bo20bo$154bo23b2o18b2o$168b2o7bobo19b2o$
169b2o8bo18bo$168bo24bo19b2o$183b2o8b2o17bobo$182bobo7bobo19bo$184bo
43bo$198bo8b3o18b2o$198b2o9bo17bobo$197bobo8bo$222b2o18b3o$212b3o8b2o
19bo$214bo7bo20bo$213bo23b2o18b2o$227b2o7bobo19b2o$228b2o8bo18bo$227bo
24bo19b2o$242b2o8b2o17bobo$241bobo7bobo19bo$243bo43bo$257bo8b3o18b2o
30b2o$257b2o9bo17bobo30b2o$256bobo8bo$281b2o18b3o$271b3o8b2o19bo85bo$
273bo7bo20bo85b3o$272bo23b2o18b2o70bob2o$286b2o7bobo19b2o70b3o$287b2o
8bo18bo72b3o$286bo24bo19b2o56b2o$301b2o8b2o17bobo$300bobo7bobo19bo$
302bo74b2o$316bo8b3o47b2ob2o$316b2o9bo47b4o$315bobo8bo49b2o$360b3o$
330b3o29bo$332bo28bo$331bo23b2o$354bobo$356bo$390b2o$360b2o27bobo$359b
obo29bo$361bo$384b3o$386bo$385bo2$389b3o$391bo$390bo!


Plan for boat/ship construction - two g+g for base and then 7 slow salvo steps. The NE gliders are all on congruent hd mod 3 along with the first element of the NE rake, so they can be constructed simply with the 316-2-190-263 track (yay). The SE gliders might need to come from the left cluster, although any that can will come from the 2-track.
x = 66, y = 110, rule = B3/S23
$22bo$20bobo$21b2o5$27bo$25bobo$26b2o7$42bo$43bo$41b3o4$64bo$62bobo$
63b2o14$59bo$60bo$58b3o5$55b3o$57bo$56bo5$63b3o$65bo$64bo4$57b2o$56bob
o$58bo26$17b2o$16bobo$18bo8$b2o$obo$2bo8$9b2o$8bobo$10bo!


This could end up a bit of a space-suck, but it's going to be possible. If anyone has a better slow salvo under the present constraints I'd be happy to see it!
Last edited by biggiemac on December 4th, 2014, 3:14 am, edited 1 time in total.
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