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triller's p30 thread

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

triller's p30 thread

Postby triller » September 4th, 2009, 1:43 pm

Greetings all!
I'm a new member, and must say I like this site.
Not only for the great variety of contributions, but
also for the esteemed list of contributors.

My primary interest is in periodic circuitry, and p30 at that.
I've found that if you can conceptualize a mechanism, you can build it.
There's always a way (might not be the way you would like, though).

For my first contribution I offer a Gap 16 reaction and mechanism.
I tried every two glider collision, and hit on this LAST (of course).
It would form a blinker and loaf but for the ongoing bombardment
from the p30 gun.

The simple reaction is at left. At right, a LWSS triggers the gap,
and the output is inverted and treated with a p30 gun w/ p60 reaction,
yielding a burst of 8 gliders at p60.

I've found this very useful in many larger assemblies, and is the smallest
method I've found to achieve this result. Enjoy.

x = 217, y = 96, rule = B3/S23
46bo145bo$43b4o142b4o$42b4o16bo125b4o16bo$35b2o5bo2bo8b2o5bob
o117b2o5bo2bo8b2o5bobo$35b2o5b4o14bo3b2o115b2o5b4o14bo3b2o$43b
4o3b2obobo4bo3b2o3b2o118b4o3b2obobo4bo3b2o3b2o$46bo2bo3b2o5bo
3b2o3b2o121bo2bo3b2o5bo3b2o3b2o$50bo10bobo132bo10bobo$50bo2bo
8bo133bo2bo8bo4$43bo145bo$42bo145bo$42b3o143b3o6$35bo145bo$35b
obo143bobo$35b2o144b2o5$28bo145bo$27bo145bo21b2o$27b3o119b2o22b
3o19b2o$149b2o3$205b2o$151b2o52b2o$20bo145bo28b3o$20bobo143bo
bo$20b2o144b2o27bobo$194b5o$147b2o3b2o39b2o3b2o$148b5o40b2o3b
2o$148b2ob2o$13bo134b2ob2o6bo$12bo136b3o6bo34b3o$12b3o143b3o30b
2o2bo4bo$191bo2b2o2bo2bob2o3b2o$194bo2b3o5b3o$192b2o4b2o4bo3b
o$39b2o144b2o18bobo$39bo145bo20bo5b2o$5bo34b3o143b3o22b4o$5bo
bo34bo11b3o95bo35bo14b3o4b2ob2o$5b2o47bo96b3o49b3o5b2o$55bo77b
2o15b5o$2b2o130bo14bobobobo35b2o3b2o$3bo130bobo12b2o3b2o37b3o
$3o132b2o55bo3bo4b2o3b2o$o192bobo6b5o$152bo41bo8b3o$21bo129bo
bo13bo36bo$20b3o128bobo4b2o6b3o$19b5o128bo5b2o5b5o$152b2o40b2o
$143b3o6b2o40b2o$143bo8b2o$144bo2$203b2o$19b5o141b5o33b2o$20b
3o143b3o$21bo129b2o14bo$151bobo$151bo4b2o3b2o$158b3o$157bo3bo
$158bobo$159bo2$156b3o$156b3o4$154b2o3b2o$155b5o$156b3o$157bo
5$106b2o$107bo$104b3o$104bo51b2o$156b2o!
triller
 
Posts: 52
Joined: September 3rd, 2009, 2:41 pm

Re: triller's p30 thread

Postby triller » September 4th, 2009, 5:03 pm

p30 to p60 to p30 converter

Here's something a little more aggressive.
This is a device I designed as an interface component for a very large mechanism that's still in progress.

Data in is blocked at the 3 eater walls top right and bottom left. To gate data delete the blocking eater.
The other two are there for easy replacement of the deleted one.
Cycle time is 1920 generations, with p30 to p60 occurring in 960, and p60 to p30 in the other 960.
P30 data comes from the bottom up. It's 16 bit contiguous. Perforate the 16 burst to flavor your bytes.
This data is then split into two 8 bit bytes, with a gap of 8 bits between. 16 contiguous bits at p60 exit around the middle left.
P60 data comes in from top right, is converted into two 8 bit bytes with an 8 bit gap, and is then collated into 16 contiguous bits at p30, exiting rightward at bottom.
Nice thing about this is that no external triggering is needed for it to function. The data just has to arrive at the proper input at the right time. The conversion is autonomic.

The Gap 16 meerschaum is my own, the Gap 8 is by Paul Rendell. Other guns by Deiter and Peter. The divide by 4 counters in the decoding guns are from Al Hensel's site, and as he offers no provenance I assume it's his. A head on LWSS/glider collision is used, and I first observed this in Bill Gosper's Random Number Generator. This collision destroys the LW and diverts the glider 90 degrees.

x = 577, y = 664, rule = B3/S23
275b2o$275bo$264bo8bobo$262bobo8b2o$260b2o$254b2o4b2o$254b2o4b
2o$262bobo$264bo6$246b3o$247bo$247bo$246b3o$68bo$68b4o174b3o$
69b4o7bo165b3o$52bo16bo2bo6bobo$51bobo15b4o4b2o3bo9b2o152b3o$
41b2o7bob2o14b4o5b2o3bo9b2o153bo$40bobo6b2ob2o14bo8b2o3bo164b
o$39bo6b3obob2o25bobo164b3o$30b2o7bo2bo2bo2bo2bobo26bo$30b2o7b
o6b2o4bo16bobo$40bobo26b2o$41b2o27bo160b2o3bo2bo3b2o$231b5o4b
5o$53bobo175b2o3bo2bo3b2o$54b2o$54bo2$61bo227bo$64bo224b3o$61b
o14b2o214bo$64bo14b2ob2o207b2o65b2o$63bob3o8bob3o2bo274b2o$61b
4o2bo9b2obo2bo$66bo94b2o$54bo106bobo$53b2o108bo$42b2o8b2o4b2o
5bo8b2o87b2o$42b2o7b3o4b2o3bobo6bo2bo215b2obob2o$52b2o4b2o2bo
bo7bo3bo2b2o192b2o83bo$53b2o6bo2bo7bo2b2o2b3o79b2o111bo16bo5b
o59b3o$54bo7bobo16b2obo5b2o69bobo73b2o35bobo5b2o72b5o$63bobo4b
3o8bo2bo5b2o71bo73b2o36b2o5b2o8b2ob2o58bobobobo$65bo15b2obo78b
2o120b2o7bo60b2o3b2o$79b3o203b3o$79b2o204b2o$62bo98b2o119b2o74b
o$62b3o96bobo118b2o73bobo$65bo97bo193bob2o$64b2o97b2o193b3o$358b
o2bo$234b2obob2o118b3o$296bobo59bo3bo54bo69b2o$234bo5bo14b2o38b
o61bo5bo53b2o69bo$255b2o38bo56bo5bo3bo45b2o2b2o4b2o13b2o5bo47b
obo6bobo$235b2ob2o55bo2bo20bo31bo7b3o6bo39b2o2b2o4b3o11b3o3bo
3bo46b2o6bo3bo$72b2o163bo57b3o9b2o10b3o29b3o13b3o42b2o4b2o9bo
b2o5bo24b2o6b2o28bo7bo$72bobo226bo5bobo12bo43bobobo46b2o10bo2b
o4bo5bo18bo2bo4bo2bo23bo4bo4b4o$72bo184b2o42b3o3bo13b2o43bobo
bo46bo11bob2o9b2o17b6o2b6o26bo4bobob2o$304bo62b3o51bo10b3o27b
o2bo4bo2bo14b2o7bo3bo3bo2bob3o8b2o$48bo254b2o63bo52bobo9b2o28b
2o6b2o15b2o7bobo6bobob2o9b2o$48b4o369b2o65b2o17b4o$38b2o9b4o10b
2o175bo103bo8b2o133bo20bo$38b2o9bo2bo9bobo169b3o4b2o10b2o3b2o
84bobo5bobo13bo25b2o91bobo8bo$43bo5b4o8b3o4b2o9b3o151bo3bo2b2o
12b5o64b3o18b2o5b3o13b3o24b2o91bob2o7bobo$43bo4b4o8b3o4bo2b4o
5bo23b2o149b2ob2o57b2o4bo3bo24b2o6b2o5bobobo127b2o$48bo12b3o4b
2ob3o6bo22bo128bo5bo15b2ob2o57b2o3bo5bo23b2o6b2o5bobobo43bo47b
2o$62bobo27bo8bobo128b2o3b2o16b3o10bo52b2obob2o24bobo12b3o43b
o49bo24b2o$63b2o27b2o7b2o164bobo33b2obob2o43bo14bo25b3o16b3o47b
obo5b2o15b2o$81bo5b2o4b2o171bo3bo41b3o79b3o67b2o5bobo29b2o$81b
obo3b2o4b3o139bo11bobo16bo3bo32bo5bo4bo6bo14b2o55bo3bo74b3o7b
2o19bobo9b2o$52b2o15b2o11bobo2b2o4b2o139bobo11b2o16bo3bo42bo7b
2o12bobo12b2o3b2o35bo5bo59b2o13b3o6b2o19bo10b3o$51bobo15b2o11b
o2bo6b2o142bo11bo17bo3bo33b2ob2o26bo14b2o3b2o36bo3bo60b2o12b3o
24bo11bob2o9b2o$53bo28bobo7bo139bo33bo3bo35bo13b2obo10b2o58b3o
74bobo25b2o10bo2bo4bo5bo$81bobo147bo12bo7bo13bo3bo49b2o2bo27b
3o51bo64b2o22b2o3b2o9bob2o5bo$81bo148bo4bo8b2o6bobo3bo8bobo51b
4o27b3o34bo16bobo91b3o11b3o3bo3bo$232bo10bobo6b2o3b3o8bo39bo44b
o33b3o16b2o92b2o13b2o5bo$229bo5bo20b5o46bobo76bo105b2o5b2o$70b
o6bo151bo5bo19bobobobo44bo3bo8b2o3b2o60b2o103bobo5bo$44b3o22b
2o6b2o151bo3bo20b2o3b2o44b5o11bo71b2obobo91bo$46bo21b3o6b3o151b
3o41bo29b2o3b2o7bo5bo66bo8bo57bo20bo9b2o$45bo23b2o6b2o194b2o31b
5o9b2ob2o34b2o38b2o57b3o19bo$70bo6bo158b2o20bo16b2o19bobo8b3o
11bobo26b3o6bobo78b2o6b2o7b5o18bo$237b2o9bobo6bobo14bo20bo12b
o13bo27b3o6bo32b2ob2o42bo2bo4bo2bo5b2o3b2o27bobo$236bo14bo5bo
b2o34bo26bo26bo3bo41b2o42bo2bo4bo2bo37bo3bo$251bo6b3o34bo2bo95b
2o43bo2bo4bo2bo37bo$37b2o209bo2bo6bo2bo33b3o50b2o3b2o85b2o6b2o
37bo4bo8b2o$36bobo210b3o7b3o132b2o3b2o32b3o22b3o27bo12b2o$38b
o219bo3bo132b5o58b3o27bo3bo$257bo5bo58b2o42b3o26b2ob2o32bo3bo
18bo25bo8bobo$234bo17bo5bo3bo59b2o42bo28b2ob2o32bo3bo17bobo17b
2o4b3o$233b3o15bo7b3o105bo28b3o55b2obo16b2o4b3o$233b3o15b3o54b
2o123b3o18b2ob2o$308b2o96bo6bo40b2obo20b2o3b2o$12b2o15b3o199b
2o3b2o167b2o6b2o29b2o8bobo21b2o3b2o$12b2o17bo199b2o3b2o166b3o
6b3o17b3o7bobo9bo$30bo319b2o22b2o29b2o6b2o28bo29b3o$270b2o78b
2o22bobo20b2o7bo6bo12bo5bo3bo5b2o29b3o5bo$57b2o211bobo101bo22b
2o21bo4b2o5bo3bo35bo3bo3bobo$57bobo162b2o46bo148b3o3bobo54b2o
$59bo162b2o47bo10b3o133bobobo10b3o35b2o3b2o4b2o$11b3o8b2o35b2o
170b2o26b2o10bo10bo135bobobo58b3o$10b2ob2o6bobo198bo9bo8bo17b
2o7b2ob2o10bo135b3o58bobo$10b2ob2o8bo197bobo5b3o7b3o29bo148bo
59b2o$10b5o38b2o8bo157bobo5bo8bo32bo109b3o$9b2o3b2o37bo2bo6bo
bo156bo15b2o28bobo110bo$48b2o2bo3bo7bobo4b2o309bo37bo$47b3o2b
ob2o8bo2bo3b2o346b3o$15bo28bob2o4b3o9bobo152b2obob2o192bobobo
$14bob2o19b2o5bo2bo15bobo153bo5bo192bobobo$14bo22b2o5bob2o7bo
7bo156bo3bo194b3o52b2o$47b3o4b3o164b3o165b2o29bo53b2o$14b2obo
30b2o5b2o239bobo90bobo$12bo2bo37bo179b2o3b2o55bo93bo$12bobo39b
o240bo$234bo3bo56bo2bo$235b3o31b3o23b3o$40bo194b3o31bo2bo$39b
3o18b2o162bo44bo138b2o40bo2bob2obo2bo$13b3o22b2ob2o17bobo162b
o43bo126b3o2bo5bo3bo37b2o2bo4bo2b2o$12bo3bo20b3ob3o16bo24bo137b
3o44bobo119bo3bo9bo5bo3b2o32bo2bob2obo2bo$11bo5bo19b3ob3o39b3o
304bobo4bo8bo3bob2o2b2o27bo$12bo3bo20b3ob3o38bo125b2o172b2o4b
2o16bo5bo31bobo$13b3o21b3ob3o38b2o124bobo27bo143b2o4b2o17bo3b
o$13b3o22b2ob2o37b3o126b3o25b3o148b2o18b2o$39b3o37bobo128b2o6b
5o14b3o150bobo51b3o$40bo26b3o8bo3bo127b2o5bob3obo6b2o160bo51b
3o$67bo10b5o125bobo7bo3bo7b2o3b2o3b2o203bo$14b2o52bo8b2o3b2o125b
o9b3o13b2o3b2o$14b2o62b5o137bo$27bo6bo44b3o363bo$26b2o6b2o44b
o125b2o3b2o4b2o225b3o$25b3o6b3o169b2o3b2o5bo225b3o$26b2o6b2o39b
2o138b3o11b2o159b2o$27bo6bo40bobo130b3o4bo12b3o9b2o148b2o$75b
o132b3o16bobo2bo2b2o3bo203bobo$209bo17b2o2b2o2b2o4b3o160b2o39b
o$36bo194b2o10bo160b2o$36b2o$35bobo$201bo$201b2o21b2o$77b3o116b
2o4b2o20b2o165bo13bo$76bo3bo111b2o2b2o4b3o9b2o174b3o10b2ob2o$
37b2o6b2o145b2o2b2o4b2o9bobo173b5o$36bo2bo4bo2bo27bo5bo119b2o
11bo173b2o3b2o7bo5bo$36bo2bo4bo2bo27b2o3b2o119bo$36bo2bo4bo2b
o145b2o207b2obob2o$37b2o6b2o146b3o$78bo105b2o9b2obo5b2o184b3o
$77bobo104bo5bo4bo2bo5b2o184b3o14bo$77bobo109bo5b2obo25bo179b
o2bo$50b3o26bo105bo3bo3b3o27b3o11bo151bo17bo$49bo3bo25bo107bo
5b2o27b5o9b3o149bobo12b2o$38bo9bo5bo21bo2bo141b2o3b2o7b2ob2o147b
o3bo11bo$38b3o36b2o143b5o7b3ob3o147b3o12bobo$bo2bob2obo2bo28b
o5bo7bo166bo3bo7b3ob3o136b2o7b2o3b2o4bo6b2o$2o2bo4bo2b2o26b2o
5bo7bo167bobo8b3ob3o136b2o16bobo$bo2bob2obo2bo211b3o7b3ob3o155b
2o$48bo5bo146b2o23b2o7b2ob2o164b2o3b2o7b2o$16bo32bo3bo147b2o23b
o9b3o160b2o3bo5bo7b2o$16bo33b3o174b3o7bo161b2o$15b3o158bo34bo
17bo175bo3bo21b2o$175b3o32bobo193b3o22b2o$174bobobo30bob2o164b
3o$15b3o22b2o3b2o127bobobo29b2ob2o10b2o151bo3bo5b2o$16bo158b3o
31bob2o10b2o162bo$16bo24bo3bo130bo33bobo162bo5bo2b3o$16bo25b3o
6bo150b3o6bo163b2o3b2o2bo15b2o7b2o21bo$16bo25b3o4b4o148b2ob2o
190b4o4b2o3bo8bo13bo$15b3o30bobob2o9b2o111bo24b2ob2o190b3ob2o
2b2o4b3o4b3o11bobo$47bo2bob3o8b2o110b3o23b5o172bo22bo10bo3b5o
9b2ob2o$48bobob2o120bobobo21b2o3b2o154b2o14bobo35b2o3b2o7bo5b
o$15b3o31b4o121bobobo183bo14bobo36b5o11bo$16bo34bo17bo7bo97b3o
184bobo8b2o3bo37bo3bo8b2o3b2o$16bo50b3o6b3o97bo34bo151b2o7bo4b
2o14b2o22bobo$66bo8b5o130bobo158bo5b2o14b2o23bo$66b2o141bo3bo
157bo3bob2o52b4o$161bo2bo4bo2bo36bo3bo157bo5bo4b3o45b2o2bo$63b
o95b3o2b6o2b3o25b2o7bo3bo158bo3bo39bo13b2obo$63bo97bo2bo4bo2b
o28bo7bo3bo159b2o17b3o19b2ob2o$198b3o8bo3bo23b2o153b3o28bo7b2o
$198bo10bo3bo23b2o152bo3bo8b2o7bo5bo4bo6bo$34bo26b2o3b2o7b5o130b
obo177bo5bo7b2o16b3o$29bo4b4o24b5o9b3o132bo26bo152bo3bo17b2ob
ob2o$29bo5b4o24b3o11bo159bobo152b3o36b2obob2o$24b2o9bo2bo5b2o
18bo136b2o34bobo186b2o3bo5bo7b2o$24b2o9b4o5b2o153bo4bo33bo187b
2o4bo3bo8b2o$34b4o160bo6bo227b3o$34bo162bo8bo251b2o$41b2o154b
o8bo28b2obob2o215bo2bo$41bobo153bo8bo28bo5bo162b3o6b2o30bo14b
o$32b3ob2o4b3o8b3o142bo6bo30bo3bo162bo3bo6bo29bobo13bo$32b4o2b
o4b3o153bo4bo32b3o155b2o5bo5bo2b3o11b2o16bo3bo10bobo$36b2o4b3o
19b2o135b2o120b3o69bo6b2obob2o2bo5bo6b3o9b2o6b3o11bobo$41bobo
20b2o257bo72b3o18bobo3bobo2bo2b2o3bo5b2o3b2o10bo$41b2o281bo73b
o18b2o4b2o2b2o2b2o4b3o$336b2o67bo21b2o10bo$336bobo49b2o14bobo
49b2o3b2o$49bo21b2o10bo252bo52bo14bobo49bo5bo$49bo17b2o2b2o2b
2o4b3o152bo152bobo9bo3bo37bo$48bobo16bobo2bo2b2o3bo108b4o42bo
154b2o8bobo17b2o21bo13bo3bo$47b2ob2o3bo12b3o9b2o106b6o41b3o107b
2o52bo3b2o15b2o21bob3o10b3o$46bo5bo2b3o11b2o116b8o150bobo51bo
3b2o$49bo8bo127b2o6b2o149bo53bo3b2o4b3o36bo$46b2o3b2o4b2o128b
8o162b3o40bobo42bob2o$58b3o127b6o163bo43bo18bo24b2o$59bobo127b
4o45b5o115bo60bobo$50bo7bo3bo12b2o3b2o146bo8bob3obo174bo3bo$50b
o7b5o15bo149bobo7bo3bo125b3o48b3o9b2o7b2o3b2o9bo$51bo5b2o3b2o
7b2o2bo5bo103b2o41b2o9b3o126bo48b2o3b2o7b2o7b2o3b2o9bobo$58b5o
8bobo2b2ob2o104b2o12b3o38bo128bo71b5o10b2o$59b3o9bo5bobo119bo
bo179b2o59bobo$48b2o10bo17bo120b3o40b2o137bobo48bo28bo10b2o$48b
2o28bo109bo10b3o40bo138bo49bobo8b3o15b3o9b2o$64b2o121bo11b3o19b
o21b3o184bo3bo24b5o$63bobo121bo11b3o18bo24bo184b5o23b2o3b2o20b
2o$65bo133bobo18b3o116bo50b2o37b2o3b2o23b5o21b2o$76bo122b3o135b
obo50bobo37b5o5b2o17bo3bo$75b3o105b2o3b2o140b2o4bobo51bo31b2o
7b3o7bo18bobo9bo13bo$74bo3bo107bo143b2o3bo2bo63b3o17bo9bo5b3o
11b2o7b3o6b2ob2o10bobo$73bob3obo103bo5bo146bobo63bo20b3o12bo12b
3o9b2o20bobo$74b5o105b2ob2o148bobo9b2o52bo21bo24bobo2bo2b2o3b
o5bo5bo10bo$185bobo25b3o123bo9bobo98b2o2b2o2b2o4b3o$61b3o122b
o21b2o3bobo42b2o91bo102b2o10bo2b2obob2o$60bo3bo121bo19bo2bo5b
2o41b2o91b2o62b2o66b2obob2o$205bo9bo5bobo192bo66bo5bo$59bo5bo
131b2o6bo11b2o2bo3bo190bobo6bo44bo13bo3bo$59b2o3b2o131b2o6bo8b
o10bo191b2o4bobo21b2o21bo2bo11b3o$206bo2bo2b2o7bo4bo4b2o188b2o
24b2o21bo$147b2o59b2o2bo2bobo7bo5b2o188b2o50b2o$62bo84b2o39bo
bo22b3o5bo3bo31b3o161b2o14b2o35bo$61bobo125b2o30bobo43b3o153b
obo11b2o33bobo$61bobo11b2o106b3o3bo67bobo9bo155bo19b2o25b2o$61b
o13b2o105bo3bo69b5o7bo$61bo86bo32bo5bo67b2o3b2o222bo$61bo2bo82b
3o31b2obob2o67b2o3b2o7b3o186b2o7b2o3b2o9bo$62b2o82bo3bo89b2o27b
o2bo185b2o7bo5bo9b3o$145bob3obo44bo43b2o27bo174b2o3b2o$146b5o
33bo12b2o61b2o7bo102bo72b5o18bo3bo$183bobo10b2o62bob2o6bobo99b
obo70b2ob2o19b3o$183bobo21b2o54bo97b2o12b2o68b2ob2o9bo39b2o$184b
o22bobo151b2o12b2o69b3o9b3o25b5o8b2o$138bo70bo48bob3o23b2o87b
2o80bo3bo23bob3obo$135b4o4bo40b2o23b2o47bo27b2o84bobo5b2o74bo
b3obo23bo3bo21b2o$127b2o5b4o5bo40b2o72bo113bo7bobo74b5o5b2o18b
3o22bo2bo$127b2o5bo2bo65bobo176bo66b2o17bo19bo9b3o$134b4o66b2o
176b2o65bo15b3o30b3o15bo$135b4o65bo34b3o208b3o12bo15bo8b2o5bo
3bo$138bo99bo3bo209bo24b2o2b2ob3o3bo5bo5bo11b2o$237bo5bo13b2o
3b2o21b3o181bo7b2o4b4o4b3o3bo3bo11bo$238bo3bo16b3o7b3o12b2ob2o
179bo12b2o10bo4b3o$239b3o16bo3bo5bo2bo12b2ob2o153b2o24b3o$211b
o27bo2bo16bobo9bo12b5o154bo66b2o3b2o$212b2o21b2o3b3o17bo10bo11b
2o3b2o68b2o83bobo7bo56b2o3b2o$211b2o21bobo3b2obo24bobo87b2o84b
2o4b4o20b2o35b5o$236bo4bobo13b2o190b4o19bo2bo21bobo12bobo$242b
o15bo27b2o161bo2bo44bo2bo$255b3o26b5o70bo89b4o11b2o5bo27b2obo
9b3o$255bo6b2o24bo69bobo89b4o10b2o$239b2o3b2o16b2o20b3o70bo3b
o91bo18b2o25bo$218bobo18bobobobo38bo72b5o112bo24bob2o$219b2o6b
3o10b5o40b2o69b2o3b2o137bo$219bo9bo11b3o41b2o70b5o$228bo13bo115b
3o37b2o71b2o3b2o7b2o23bo$232b2o125bo36bo3bo70b2o3b2o7b2o7b2o3b
2o8bo$231b3o27b3o5b3o13b2o3b2o85b2o11b2o3bo5bo70b5o18b5o9b3o$
159b2o67bob2o9bobo25bo2bo12bobobobo85b2o11b2o2b2obo3bo71bobo19b
2ob2o15bo10b2o$155b2obo19bo6bo42bo2bo4bo6bo17bobo5bo8bobo5b5o
104bo5bo83b3o7b2ob2o14b3o9b2o$155b2o2bo2bo14b2o6b2o41bob2o5bo
22b5o4bo8b2o7b3o68bo37bo3bo8b2o62b3o9b3o8b3o14b5o$160bobo13b3o
6b3o34b2o7b3o3bo4bo16b2o3b2o4bobo6bo8bo71b2o36b2o9bobo100b2o3b
2o20b2o$161bo15b2o6b2o34bobo8b2o5b2o18b2o3b2o93b3o15b3o31bo126b
o2bo$170b3o5bo6bo35bo137b2o16b3o31b2o113bo14bo$160b2o58b2o138b
o15bo3bo95b2o5b2o3b2o4b2o18bo10bobo13bo$160b2o31bo70b2o93bobo
13bo5bo94bo7b5o6bo18bo9bo3bo10bobo$191bobo70bob2o92b2o14bo3bo
96b3o5b3o4b3o30b3o11bobo$190bobo17bo56bo109b3o99bo6bo5bo15bo8b
2o4b2o3b2o10bo$184b2o3bo2bo16b2o74bo218b2o2b2ob3o3bo$163b2o3b
2o14b2o4bobo15b2o4b2o2b2o42bob3o8bo9bo68b2obob2o143b2o4b4o4b3o
$166bo24bobo13b3o4b2o2b2o42bo11b2o8bobo221b2o10bo16b2o3b2o$163b
o5bo23bo4bobo7b2o4b2o46bo11bobo6b2ob2o66bo5bo6bo101b2o66bo5bo
$164b2ob2o29b2o9b2o71bo5bo79b2o8bobo89bo53bo$165bobo31bo10bo74b
o69b2ob2o7b2o8bo2bo89bobo4bo46bo13bo3bo$166bo115b2o3b2o68bo17b
ob2o92b2o3bobo22b2o21bob3o10b3o$166bo308bob2o22b2o$261b2o3b2o
110bo95b2ob2o50bo$263b3o15b3o91b2obo54b2o40bob2o47bob2o$163b2o
27bo69bo3bo13b2obo93bo54bobo41bobo47b2o$164bo25b2o71bobo14b2o
140b2o7b3o4b2o37bo$161b3o27b2o71bo16b2o71bo67b2o6b3o4bo2bo$161b
o10bo109bobo68b3o7b2o12b2o3b2o47b3o4bo73b2o7b2o3b2o9bo$170b3o
109bo2b2o66b3o8b2o6bobo3b5o49bobo7bo48bo20b2o7b2o3b2o9bobo$169b
o193bo7bo6b2ob2o50b2o5b2obo45b2o31b5o10b2o$169b2o6b3o16bo67b2o
85b2o3b2o13bo6b2ob2o60bo46b2o31bobo$195b2o67b2o85b2o3b2o13bo2b
o4b3o61b2o53b2o3b2o8bo28bo10b2o$167bo15bobo9bobo137b2o34b3o138b
obo8b3o15b3o9b2o$166b3o14b2o119b2o29b2o162bo3bo7bo3bo24b5o$165b
o3bo14bo96b5o17bobo50b2o142b3o8b5o23b2o3b2o20b2o$164bob3obo109b
ob3obo15b3o51bobo141b3o7b2o3b2o23b5o21b2o$165b5o111bo3bo16b2o
54b2o151b5o5b2o17bo3bo6b2o$215bo66b3o17b2o53b2o21b2o130b3o7bo
18bobo$202b2o2b2o6b4o65bo19bobo51b2o21b2o121b2o8bo5b3o20b3o$197b
obo2bob4o5b2obobo85bo48b3o147bo15bo15b2o7b2o$195bo3bo3bob2o5b
3obo2bo2b2o280b3o24b2o2b2o2b2o3bo$188b2o5bo12bo4b2obobo3b2o282b
o24b2o2bo2bobo4b3o2b2o3b2o$188b2o4bo4bo14b4o64b2o17b2o3b2o214b
o14b3o7bo3b5o$161b2o32bo19bo66b2o17b2o3b2o26b3o159b2o24bobo12b
2o12b2ob2o11bo$161b2o32bo3bo133bo3bo15b2o3b2o137bo24b2o27b2ob
2o10b3o$197bobo103b3o26bo5bo158bobo6bo45b3o10b5o$303b3o27bo3b
o16bo3bo139b2o4bobo21b2o34b2o3b2o$161b3o140bo29b3o18b3o105bo38b
2o24b2o$156b2o2bob2o118bo51b3o18b3o105b4o35b2o$156b2o2b2o120b
3o168b2o9b4o34b2o$160b2o123bo93b3o71b2o9bo2bo36bobo59b3o$284b
2o22bobo68bo78bo5b4o38bo19b2o38b3o$306bo3bo69bo77bo4b4o5b2o83b
o$306bo12b2o11b3o20b2o106bo8bobo76bo3bobo11bo$305bo4bo8b2o10b
2ob2o3bo15b2o117bo64b2o9b3o3b2o10bobo$306bo24b2ob2o4b2o132b2o
63b2o8b5o13bo3bo$306bo3bo20b5o3b2o23b2o37b2o120b2o3b2o16bobob
obo13b3o$308bobo19b2o3b2o27b2o21b2o14b2o121b5o17b2o3b2o6bo4b2o
3b2o$27b2o358bobo136b2ob2o30bobo$26bobo358bo138b2ob2o30b2o$26b
o267b2o15b2o49bo164b3o$25b2o141b2o124bobo14b2o50bo$168b2o119b
o4bo36b2o13bobo14bo$289b3o55b2o199b2o$292bo54bo182b2o17bo$291b
2o68b2o3b2o26b3o6b3o124bo15b3o$166b2o165b2o29bo29bo7bo3bo124b
3o3b2o3b2o2bo15b2o7b2o$311b3o19b2o26bo5bo27bo5bo5bo125bo5b3o16b
2o2b2o2b2o3bo$362b2ob2o34b2obob2o130bo3bo15b2o2bo2bobo4b3o$311b
obo40bo8bobo128bobo4b2o36bobo22b3o7bo$304b2o4b5o40b2o7bo128bo
2bo4bo21b2o15bo23b2o$165b2o3b2o132b2o3b2o3b2o38b2o8bo36bo82b2o
6b2o7bobo20bo$166b5o138b2o3b2o32b2o51b2o81b2o4b2o3bo28bobo5bo
bo$166b2ob2o15b2o113b3o44bo143b2o31b2o5bo2bo19b2o$166b2ob2o15b
2o105b3o7bo45b3o12bo35b2obo89bo2bo6b2o5b2o23b2o18b2o$167b3o122b
o3bo5bo6b2o40bo12bo35b2o2bo89bobo6bobo4bobo20bo3b2o6b2o$291bo
5bo9b2obo90b4o100bo4bo24b2o7bobo$189bo102bo3bo10bo197b2o15b3o
7bo2bo9bo$188bo104b3o226bo9bobo$188bo104bo2bo11b3obo48b3o35b2o
3b2o117bo$294b3o15bo47bo3bo37bo152bo$294b2obo14bo46bo5bo33bo5b
o148b3o$172bo11b2o3b2o23b2o79bobo61b2obob2o34b2ob2o149b3o$166b
o3bobo14bo26bo81bo104bobo$165b3o3b2o11bo5bo13b2o6bobo187bo149b
2o3b2o$164b5o16b2ob2o13b3o6b2o148bo39bo149b2o3b2o$163bobobobo
16bobo4b2o5bob2o89b2o3b2o7b2o3b2o47bobo$163b2o3b2o17bo5b2o5bo
2bo89bobobobo9b3o49bobo$187bo12bob2o90b5o9bo3bo49bo$179bo23b3o
89b3o11bobo250bo$166bo13bo23b2o90bo13bo51b2o38b2o156b3o$165bo
bo10b3o181b2o38b2o148b2o5bo$165bobo385bo5b2o$163b4o383b3o$162b
ob2o17bobo124b2o214bo23bo5b3o$161bo3bo8b3o6b2o108b2o15b2o213b
obo28b3o$161b5o10bo7bo3b3o103bo218b2o10b2obo26bo3bo$160b2o3b2o
8bo11bo3bo99b3o7b2o210b2o10b2ob2o24bo5bo$161b5o20bo5bo65b2o31b
o8bo2bo221b2obo26bo3bo$162b3o21b2obob2o65b2o43bo221bobo4b2o22b
3o$163bo94b2o43bo222bo5bobo$258bo38bo3bobo230bo$167b2o20bo67b
obo36bo3bobo231b2o$166bobo11b2o6bobo67bobob3o15b2o14bo4bo$168b
o10b3o6bobo68bob4o16bo15b4o$179b2obo6b2o69bo20bobo7b2o240b2o$
180b3o8bo77bo12b2o6bobo238bo3bo11bo$181bo8b3o76b4o16b3o5bo8b3o
221bo5bo9bobo$189bo3bo76b4o14b3o4bo2bo9bo220bo2bo3bo10b2o$188b
ob3obo75bo2bo15b3o4b2o9bo228bo20b2o$184bo4b5o76b4o16bobo106b2o
126bo3bo3bo21b2o$164b3o15b2o77b2obo4b4o4b2o12b2o106bo126bob2o
3b2o$163bo3bo15b2o77b2o5bo7bobo120b3o123bo$261b3o15bo122bo122b
2o$162bo5bo28b2o80b2o280bo2b2o10bo$162b2o3b2o29bo361bo3b2o2b2o
4b3o$198bobo8b2o330b3o16bo7b2o3bo$199b2o7bobo329bo3bo3bo12b4o
8b2o$165bo41b3o4b2o92b2o238b3o$164bobo39b3o4bo2b4o38bo49b2o229b
o5bo5bo$164bobo40b3o4b2ob3o14bo21b3o40b3o32b2o203b2o3b2o4b2o$
166bo24b2o15bobo23b3o18bo43bobo32b2o$166bo24b2o16b2o26bo17b2o
42b3o251bo$163bo2bo69b2o61b3o240bo9bobo13b2o3b2o$164b2o133b3o
239bobo7bo3bo7b2o3bo5bo$299b3o33bo205bobo8b3o8b2o$281b2o9b2o5b
obo6b3o23b3o206bo6b2o3b2o12bo3bo$238b3o39bobo9b2o5b3o5bo3bo21b
o3bo205bo26b3o$237b2ob2o37b2o51bob3obo24b2o175bo2bo$237b2ob2o
38b2o2b2o20bo5bo20b5o25bobo175b2o$237b5o23b2o8b2o6bobo20b2o3b
2o45b2o6bo11bobo$236b2o3b2o22b2o7bob2o5bobo68b2obo2bo2bo2bo10b
o2bo175b2o$273bo2b2o5b2o8bo60b2o2b2o6bo9b2o10b2o167b2o$275b2o
4bo11bo15bo53bobo8b2o3bo8b2o166bo$242bo37bo4bo6bobo12b2obo19b
3o30b2o11b2o5b2o184bo$241bob2o27b5ob2o11b2ob2o14bo19bo37bo8bo
2bo4bo181b2ob2o$228bo12bo32b2o2bo2b2ob2o4bo5bo9bo3bo20bo17b2o
15b2o10bobo$226b3o36bo11bo5bo9bo12bo2bo40bo16b2o197bo5bo$225b
o15b2obo19b3o13bo9b2o3b2o8b5o40bobo9bo$225b2o12bo2bo21b3o12bo
25b5o41b2o8bobo202b2obob2o$239bobo36bo25b2o3b2o50b2obo7b2o181b
o$262b2o3b2o2b2obo14b3o13b5o51b2ob2o6bobo179b3o$262b2o3b2o2bo
16b2obo14b3o5bobo44b2obob3o6bo7b2o168b5o$226b3o43bo2bo12b2o17b
o7b2o7b3o5b3o26bobo2bo2bo2bo2bo7b2o167b2o3b2o$210b2o61b2o14b2o
24bo7bo2bo4bo3bo26bo4b2o6bo$210b2o18bo9b3o24b2o21bobo33bo3bo5b
o35bobo$230bo8bo3bo23bobo20bo2b2o31bo3b2obob2o35b2o$230bo7bo5b
o24b2o52bobo228b3o$210bo28bo3bo24b2o284b3o11b2o$209bobo14b3o11b
3o25b2o60bo237b2o$208bo3bo8b3o16b3o21b3o63b2o$208b5o10bo331b2o
$207b2o3b2o8bo66b5o35b2obo7bo5b2o207b2o$208b5o75bob3obo34b2o2b
o4bo3bo3b3o$209b3o29b2o46bo3bo16bo8bo10b4o8bo5b2obo$188bobo19b
o30b2o21b2o3b2o19b3o16b3o7b2o16bo5bo4bo2bo$187bo2bo4bo95bo16b
5o5bobo16b2o9b2obo$177bo8b2o5b2o19b2o49bo3bo37bobobobo14b2o3b
2o11b3o7b2o$176bobo5b2o3bo8b2o13bobo50b3o38b2o3b2o17bo14b2o8b
obo$176b2obo6b2o10b2o15bo50b3o59bo5bo23bo$176b2ob2o6bo2bo99b2o
37b2ob2o24b2o$176b2obo8bobo99b2o20b2o16bobo$166b2o8bobo133b2o
17bo$165bobo9bo9bo126bo16bo$165bo22bo77b2o44b3o$164b2o20b3o77b
2o42bo$211b3o96b5o$146bo63bo3bo96b2o$144b2o97b2o85b2o$146b2o61b
o5bo27bo86b2o$145bo63b2o3b2o17b2o6bobo65b2o3b2o$195bo36b3o6b2o
67b5o$151b3o39bobo33bob2o77b2ob2o$151b3o40b2o16bo9b2o5bo2bo77b
2ob2o$152bo58bobo8b2o5bob2o78b3o$152bo58bobo18b3o$152bo58bo21b
2o$151bobo57bo$202bo8bo2bo$203bo8b2o$151bobo47b3o50bo57b2o$152b
o102b2o55b2o$152bo100b2o$152bo102bo$151b3o$151b3o$210bo$208bo
bo$209b2o36b3o$247bobo$247b3o$247b3o$247b3o$217bo29b3o$218bo28b
obo$216b3o28b3o2$224bobo$222bo3bo$214bo7bo$213b4o4bo4bo8b2o$201b
2o9b2obobo4bo12b2o$201b2o8b3obo2bo3bo3bo$212b2obobo6bobo$213b
4o$214bo2$229b2o$229bo2bo$215bobo15bo$213bo3bo2b3o10bo6b2o$206b
2o5bo19bo6b2o$206b2o4bo4bo7b2o2bo2bo$213bo7bobo2bo2b2o$213bo3b
o5b3o$215bobo2$238bo$237b4o$220b2o14b2obobo$212bo7bo2bo11b3ob
o2bo2b2o$211bo3b2o7bo5b2o4b2obobo3b2o$211bo5bo6bo5b2o5b4o$212b
5o7bo5bo7bo$220bo2bo$220b2o2$239bobo$237bo3bo$229bo7bo$228b4o
4bo4bo8b2o$216b2o9b2obobo4bo12b2o$216b2o8b3obo2bo3bo3bo$227b2o
bobo6bobo$228b4o$229bo$238b3o$238bobo3b2o$237b2o5bo2bo$230bob
o5bo9bo$228bo3bo2b2o11bo6b2o$221b2o5bo10bo8bo6b2o$221b2o4bo4b
o7b2o2bo2bo$228bo7bobo2bo2b2o$228bo3bo5b3o$230bobo3$252bo$252b
obo$235b2o18b2o$237bo17b2o4b2o$224b2o12bo16b2o4b2o$224b2o4bo7b
o8bo4bobo$221b2o5b2o8bo9bo3bo$213b2o5b3o5bo2b2o4bo5bo2b3o$213b
2o6b2o6b5ob2o291b2o$224b2o4bo297bo$224b2o300bobo$235bobo288b2o
$238bo$234bo3bo$235b4o12b2o4$226bo$226b2o$225bobo2$240bo$212b
2o25b2o$211b3o3b2obo18bobo$208bob2o5bo3bo2bo$201b2o5bo2bo4bo4b
o2b2o26b2o$201b2o5bob2o4b4o5b2o25bobo$211b3o3bo7b3o14bo4b2o6b
o$212b2o11b2o14bobo2bo2bo2bo2bo7b2o$224b2o15b2obob3o6bo7b2o$224b
o16b2ob2o6bobo$241b2obo7b2o$241bobo$242bo9$487b2o$488bo$488bo
bo4bo$489b2o3bobo$492b2o3bo14b2o$492b2o3bo13bobo$492b2o3bo12b
3o4b2o$488b2o4bobo12b3o4bo2b4o$488b2o5bo6bo7b3o4b2ob3o$500b2o
9bobo$377bo5bo5bo98bo12b2o9b2o$377b3o3b3o3b3o95bobo$380bo5bo5b
o94bo2bo8bo$379b2o4b2o4b2o95bo2bo6b2o$462b2o34bobo$463bo24bo2b
o$463bobo6bobo13b2o3bobo$464b2o5bo2bo18b2o$470b2o10b2o10bo12b
o7bo$458b2o8b2o3bo8b2o22b4o5bobo$458bobo9b2o5b2o22b2o2bo2b2o8b
2o4b2o$459b3o9bo2bo4bo21b2o2b2o11b2o4b2o$460b2o10bobo23b2o10b
o7b2o$460b2o19bo15b3o10bo4bobo$458bobo20b2o15b2o10bo4bo$459bo
23bo8b2o7b2o$482bobo6bobo7b2o$483b2o6bo$456b2o3b2o27b2o$456b2o
3b2o$484bo$426bo31b3o22bobo8bo$425b3o30b3o32bobo$459bo32bo3b2o
$492bo3b2o3b2o$425b3o14b2o48bo3b2o3b2o$403b2o38bo49bobo$380b2o
21b2o20bobo15bobo5bo42bo$380b2o43bobo16b2o5b2o21b2o$452b2o20b
2o$425b3o24b3o23b2obob2o$447b2o3b2o9b3o$381bo69b2o25bo5bo$380b
obo42b3o23bo$379bo3bo33b2o7bo52b2ob2o$380b3o12b2o7bo12b2o62bo
$378b2o3b2o9b2o7b3o$396bo5b5o$401b2o3b2o66bo$394bo78b3o$393b3o
76b5o3b2o$379bo12b2obo5b2o44bo23b2o3b2o2b2o$379bo12b3o5bo16bo
27b3o24b5o$379bob3o9b2o8bo12b3o25bo27bo3bo$400bo2bo11b5o24b2o
27bobo$384bo15b2ob2o9bobobobo53b3o$381bob2o17b2o10b2o3b2o55b2o
$381b2o93bo$477b3o$399b2o3b2o8b2o63bo$376b2o3b2o16b2o3b2o8b2o
4bo$376b2o3b2o13bo3b5o8bo5bob2o$377b5o7bo5b2o4bobo9b3ob4o$378b
obo9bo4bobo$388b3o10b3o9b5o$378b3o34b2o$392b3o$394bo33bo$393b
o18b2o3b2o8b2o$376b2o22bo12b5o9bobo$377bo21bobo11b2ob2o$374b3o
21bo3bo10b2ob2o$374bo24b3o12b3o$385b2o10b2o3b2o$384bobo$374bo
11bo48b2o$374bobo57b2o$377b2o9b2o46bo$377b2o9b2o25b2o$377b2o6b
2o28b2o$365b2o7bobo7b3o$364bobo7bo10b2o$364bo23b2o5b2o5b2o39b
o$363b2o23b2o5bobo4bo39b2o$397bo5b3o36bobo$397b2o6bo5$450b2o$
449b2o$451bo2$463b2o$463bo2bo$453bo3b3o7bo6b2o$452b5o3bo6bo6b
2o$440b2o9b2ob2o3bo7bo$440b2o8b3ob2o3bo3bo2bo$451b2ob4o5b2o$452b
4o$453bo!


Enjoy,
triller
triller
 
Posts: 52
Joined: September 3rd, 2009, 2:41 pm

Re: triller's p30 thread

Postby triller » September 4th, 2009, 6:16 pm

My First (and only) Rake

I call this one Mr. Phelps.

The rake is actually composed of 11 p60 rakes and some turners from Jason Summer's collection.
One is rearward firing. Two pairs of forward firing insert two more gliders in kickback reactions.
I couldn't find a smaller method of injecting the fourth, so two groups of 3 rakes create LWSSs that collide head on for the last glider, with a MWSS to delete the extraneous glider.
This skewed glider stream reacts with either a block in its path, or the rightward moving LWSS stream at top. If the block is there, the corresponding LWSS remains (one). If the block is missing a LWSS is deleted (zero).
The smattering of blocks and blinkers at left is what I call "the shed" (where else would you store your rake?). The first encounter of a rake with a block shuts down the glider generating action of the b-hep at the right time so that no extraneous gliders are generated. More blocks take out the rest of the xWSSs, and the blinkers delete the schick engines.
A few extra xWSSs tag along to do some clean up work.
So, what you got is basically a tape reader; the tape being the stationary horizontal string of blocks (note the regularity of their format), and the moving tape head being the rake. Output is impressed on the regular p30 LWSS stream for use wherever.

x = 1126, y = 332, rule = B3/S23
53bo$51b3o$50bo$50b2o706b2o$757b4o$756b2ob2o$757b2o3$45b2o3b2o
$45b2o3b2o$46b5o3b2o$47bobo5bo790b2o$55bobo7b2o21b2o755b4o$47b
3o6b2o6bobo21bo755b2ob2o20b2o$63bo13bobo6bobo756b2o21b2ob2o$63b
o2bo6b2o2bo2bo5b2o774b2o5b4o$63bo8bobo5b2o779b4o5b2o5b2o4b2o$
64bobo3bo3bo3bo3b2o776b2ob2o11b4o2b2ob2o$65b2o2b2ob3o5b2o779b
2o12b2ob2o3b4o$51bo20b2o3bo2bo795b2o6b2o$52bo24bobo$50b3o$46b
o$45b3o15bo$44b5o14bobo$43b2o3b2o13b2o2$59bo$47bo9bobo12b2o28b
2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b
2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o$47bo10b2o11b4o13b2o11b4o
13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b
2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o
11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b
4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o
13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b
2o11b4o13b2o$71b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o
10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2o
b2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b
2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o
10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2o
b2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b
2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o
10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2o
b2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b2ob2o10b
2ob2o$43b2o28b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o
13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b
2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o
11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b
4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o
13b2o11b4o13b2o11b4o13b2o11b4o13b2o11b4o$44bo17b2o23b2o28b2o28b
2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b
2o28b2o28b2o28b2o28b2o28b2o28b2o43b2o$41b3o6bobo10b2o1057bobo
$41bo8bo2bo8bo1061bo$53b2o11b2o157b2o6b2o6b2o6b2o4b2o6b2o6b2o
6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b
2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o
6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o36b
2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o22b2o4b2o6b2o6b2o6b2o4b2o6b2o6b
2o28b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o12b2o6b2o6b2o6b2o4b2o6b
2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o
6b2o6b2o6b2o4b2o6b2o6b2o6b2o33b2o$51bo3b2o8bobo157b2o6b2o6b2o
6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b
2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o
6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b
2o6b2o6b2o4b2o36b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o22b2o4b2o6b2o6b
2o6b2o4b2o6b2o6b2o28b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o12b2o6b
2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o
6b2o6b2o6b2o4b2o6b2o6b2o6b2o4b2o6b2o6b2o6b2o$53b2o9bo$43b2o5b
o2bo10bo2bo$42bobo5bobo11bo1026b2o$42bo22bobo5b2o1017b2o$41b2o
23b2o5bobo766b2o247bo$75bo765b2ob2o$75b2o765b4o235bo$843b2o236b
2o$1080bobo2$1069b2o$628b2o440b2o$627b2ob3o436bo$628b5o425bo$
629b3o426b2o$1057bobo$624b3o$623b5o418b2o$622b2ob3o419b2o$623b
2o421bo2$2b2o629b2o401bo$3bo628b4o400b2o$3o628b2ob2o399bobo$o
631b2o$1024b2o$1025b2o$761bo2bo259bo$159b2o599bo252bo$159b2o599b
o3bo248b2o$743b4o13b4o248bobo$156b2o585bo3bo$156b2o585bo257b2o
$744bo2bo254b2o$1001bo$757b2o4bo$746b2o9b2o3bobo6bo219bo$745b
o2bo12bo3bo5bobo217b2o$163b2o580bo2bo12bo3bo5b2o217bobo$163b2o
580b2ob2o11bo3bo$747b2o13bo2bo21bo191b2o$763bo12bo8bo3bo190b2o
$776bobo5bo194bo$776b2o6bo4bo178bo$743b4o5b2o30b5o179b2o$84b2o
647b6o4bo3bo3b2ob2o4b2o205bobo$84b2o647bo5bo3bo8b4o3b4o18bo$96b
2o635bo10bo2bo5b2o3b2ob2o9bo8bobo172b2o$96b2o626bo9bo4bo19b2o
11bo8b2o174b2o$101b2o619bo3bo9b2o27bobo4b2o2bo179bo$88b3o10b2o
618bo42b2o2bo7bo$721bo4bo38bobo4b2o2bo169bo$721b5o33b2o11bo173b
2o$103b2o594b2o57b2ob2o9bo172bobo$103b2o593b4o57b4o$697b2ob2o
58b2o172b2o$698b2o5b2ob3o80bo143b2o$704bo5b2o11b2o66bobo140bo
$101b2o6b3o591b2o7bo10bobo65b2o130bo$101b2o601bo5b2o11bo199b2o
$698b2o5b2ob3o52bo158bobo$683bo2bo5b2o3b2ob2o31b2o29b2o$105b2o
575bo8b4o3b4o16b2o12b2ob4o24b2o146b2o$105b2o575bo3bo3b2ob2o4b
2o17bobo12b6o173b2o$682b4o5b2o25bo4b5o6b4o173bo$110b2o611bo4b
o$110b2o584bo26bo177bo$696b2o15b2o9bo3bo172b2o$686b2o7b2obo14b
obo10bo173bobo$118b2o564b2o2bo7bobo14bo$118b2o564bo2b3o3bo3b2o
190b2o$684bo4bo2b3obo193b2o$685b5o18b2o179bo$687b2o19bobo67b2o
28b2o68bo$708bo68b4o27b3o67b2o$683bo2bo89b2ob2o11bo14bob2o66b
obo$111b2o569bo94b2o5bo2bo3bob2o12b3o$111b2o569bo3bo96bo3bo4b
5o11bo57b2o$102b3o577b4o13b4o79b2o4bo4bo2bo70b2o$114b2o583bo3b
o79bo3bo4b5o3b2o64bo$106b2o6b2o583bo77b2o5bo2bo3bob2o5bobo$106b
2o592bo2bo58bo2bo5b2o3b2ob2o11bo7bo55bo$98b2o661bo8b4o3b4o75b
2o$98b2o661bo3bo3b2ob2o4b2o75bobo$761b4o5b2o23b2o5b5o$795bobo
4bo4bo36b2o$795bo6bo42b2o$766bobo34bo3bo36bo$765bo3b2o34bo27b
o$153b2o608b2obob3o8bo10b2o41b2o$153b2o608bo4b3o19bobo39bobo$
763bo3bo15b2o5bo$764b3o10bo7bo35b2o$766bo10bobobo3bo36b2o$98b
2o682b3o36bo$98b2o662bo2bo$704b2o55bo49bo$105b2o596b4o54bo3bo
45b2o$105b2o595b2ob2o54b4o13b4o28bobo$686b2o15b2o73bo3bo$102b
2o581b2ob2o88bo$90b2o10b2o582b4o18b2o69bo2bo$90b2o2b2o591b2o20b
o$94b2o612bobo77bo40b2o$710bo77b2o38b2ob3o$689bo3b2o15bo76bob
o39b5o$688b2o4b3o133b3o$109b2o576b2o5bo2bo17bobo58b2o$109b2o577b
2o7bo17b2o60b2o$696b2o18bo59bo$728b3o$101b2o624b5o34bo41bo$101b
2o592bo2bo21bobo3b2ob3o34b2o39b3o$96b2o588b2o6bo25b2o5b2o36bo
bo39bob2o$96b2o587b2ob2o4bo3bo22bo86b3o$686b4o4b4o3b4o103b2o$
687b2o12bo3bo$701bo7bo15bobo$101bo600bo2bo2b7o9b3o16bo$101bo605b
2ob3o2bo10bo16b2o$101bo600bo2bo2b7o27bobo$701bo7bo$701bo3bo25b
2o$701b4o27b2o$731bo2$721bo$67b2o543b2o107b2o$67b2o527b2o13b2o
b2o104bobo$595b4o13b4o$64b2o528b2ob2o14b2o$64b2o529b2o$716b2o
$600bo21bo93bobo$602bo17b2o94bo$598b2o2bo3bo14b2o$597bo5bob3o
2bo$71b2o523b2o2bobo2b5obo74b2o$71b2o524b2o3bo5b2ob2o14bo59b2o
$598b3o7bo2bo13b2o59bo$626b2o$63b2o544b2o25b2o38bo101bo$63b2o
531b2o37b2ob3o35b2o99b3o$58b2o535b4o4b4o25bo3b5o34bobo99bob2o
$58b2o534b2ob2o4bo3bo3bo2bo15b2o5b3o138b3o$595b2o6bo6bo20b2o145b
2o$604bo2bo2bo3bo11b2o$610b4o11bo75b2o$63bo552b3o2b2o7bo41b2o
27bobo$63bo552b3o2b2o8bo39b4o26bo$63bo552b3o2b2o7bo39b2ob2o11b
o$610b4o11bo11bo33b2o5bo2bo3bob2o$610bo3bo11b2o9bo3b2o34bo3bo
4b5o$50b3o557bo31b2o32b2o4bo4bo2bo$611bo2bo26bo35bo3bo4b5o$58b
2o611b2o5bo2bo3bob2o$58b2o571bo24bo2bo5b2o3b2ob2o11bo$46b2o583b
2o22bo8b4o3b4o16b2o$46b2o582bobo22bo3bo3b2ob2o4b2o17bobo$655b
4o5b2o25bo4b5o$696bo4bo$669bo26bo$669b2o15b2o9bo3bo$659b2o7b2o
bo14bobo10bo$131b2o524b2o2bo7bobo14bo$131b2o524bo2b3o3bo3b2o$
621b3o33bo4bo2b3obo$621bo36b5o18b2o$622bo37b2o19bobo$26b2o653b
o$26b2o534b2o92bo2bo$22b2o537b4o21bo68bo92bo$22b2o536b2ob2o11b
o9b2o67bo3bo87b3o$561b2o5bo2bo3bob2o6bobo67b4o13b4o71bob2o$567b
o3bo4b5o91bo3bo71b3o$30b3o533b2o4bo4bo2bo91bo75b2o$567bo3bo4b
5o4b3ob2o82bo2bo$545b2o14b2o5bo2bo3bob2o4b2o$544b4o4b4o4b2ob2o
11bo6bo4bo$543b2ob2o4bo3bo4b4o18bo$544b2o6bo9b2o14bo6b2o$37b2o
514bo2bo20b2o27b3o$37b2o510bo27bobo26bo$551bo55bo$547b2o2bo11b
o$45b2o499bo5bo9bo10bo$31b2o12b2o498b2o2bobo9b3o8b2o$31b2o513b
2o3bo9b3o8bobo$547b3o9b3ob5o9b4o$559b2o3b3o9b6o$565bo9b2ob4o$
545b2o29b2o$38b2o504b4o$38b2o503b2ob2o$544b2o15b2o$41b2o517b2o
b2o$41b2o518b4o26b3o$562b2o27bo$592bo2$559b2o$558b2ob2o155bo$
559b4o3bo5b3o142b3o$560b2o3bob2o3b3o2bo139bob2o$105b3o456bo3b
o6bobo140b3o$560b2o3bob2o3b3o2bo140b2o$559b4o3bo5b3o6b3o$558b
2ob2o18bo$543b4o5b2o5b2o21bo4bo$101b2o440bo3bo3b2ob2o29bo3bo$
101b2o440bo8b4o28bo$106b2o436bo2bo5b2o21b3o5bo4bo$106b2o468bo
7b5o$548b2o27bo$546b5o11b2obo$114b2o429bo4bo10bo5bo$114b2o429b
o2b3o10bo9b3o$545b2o2bo11bo5bo3bo$95b2o450b2o9b2o2bo3bo5bo$95b
2o461b2o3b3o81bo2bo$99b2o545bo$99b2o545bo3bo$107b2o434b4o82b4o
13b4o$107b2o434bo3bo13bo2bo64bo3bo$543bo16bo68bo22b2o$110b2o432b
o2bo12bo3bo65bo2bo20bo$110b2o448b4o90bo$654b2o$632b2o3b2o$631b
obo6bo$153b2o476bo6bo2bo17bo$153b2o476b3o7b2o16bobo26bo$107b2o
531b2o17b2o12bo13b3o$107b2o562bo3bo11bob2o$111b2o557bo17b3o$111b
2o551bo5bo4bo12b2o$629b4o5b2o24bobo3b5o$629bo3bo3b2ob2o4b2o16b
2o$629bo8b4o3b4o$568bo2bo58bo2bo5b2o3b2ob2o11bo$114b2o451bo77b
2o5bo2bo3bob2o6bo$114b2o451bo3bo79bo3bo4b5o4bobo$101b3o446b4o
13b4o79b2o4bo4bo2bo4b2o$111b2o437bo3bo96bo3bo4b5o$111b2o437bo
94b2o5bo2bo3bob2o$551bo2bo89b2ob2o11bo$645b4o$555bo6b2o13bo68b
2o$553bo2bo5b2o13bobo$552bo9b2o4bo8b2o$118b2o432bo6b2obo4b3o$
118b2o432b2o4b5o6b2o$554bo4b3o3b2o15bo11bo54b2o$556b2o24bobo7b
o3bo53b2o$110b2o470b2o7bo57bo$110b2o479bo4bo$550b4o5b2o30b5o6b
4o59b2o$105b2o443bo3bo3b2ob2o4b2o18bo13b6o58bobo$105b2o443bo8b
4o3b4o17bobo10b2ob4o58bo$551bo2bo5b2o3b2ob2o17b2o12b2o$566b2o
5b2ob3o$101b2o469bo5b2o$101b2o6b3o459b2o7bo23bo$572bo5b2o23bo
$566b2o5b2ob3o23b3o$565b2ob2o31b2ob2o22b2o$103b2o461b4o32b3o22b
4o$103b2o462b2o34bo22b2ob2o9bo$589b5o33b2o11bo$589bo4bo38bobo
4b2o2bo$88b3o10b2o486bo42b2o2bo7bo$101b2o487bo3bo9b2o27bobo4b
2o2bo5b2o$96b2o494bo9bo4bo19b2o11bo9bobo$96b2o503bo10bo2bo5b2o
3b2ob2o9bo9bo$84b2o515bo5bo3bo8b4o3b4o$84b2o515b6o4bo3bo3b2ob
2o4b2o$611b4o5b2o23b2o5b5o$645bobo4bo4bo$645bo6bo$616bobo34bo
3bo$615bo3b2o34bo$163b2o448b2obob3o8bo10b2o$163b2o448bo4b3o19b
obo$613bo3bo15b2o5bo$614b3o10bo7bo$616bo10bobobo3bo$632b3o$612b
o2bo$156b2o453bo$156b2o453bo3bo$611b4o13b4o$159b2o467bo3bo$159b
2o467bo$629bo2bo!


Last one for today, Enjoy.
triller
triller
 
Posts: 52
Joined: September 3rd, 2009, 2:41 pm

Re: triller's p30 thread

Postby Extrementhusiast » September 5th, 2009, 11:27 pm

Welcome to the board! :mrgreen: I have made a .rle file that consists entirely of stabilizations of Queen Bee Shuttles.

BTW, is there an absolute (any period, like the hammer reaction: two spaceships), p30, or p60 HWSS-to-LWSS converter?
I Like My Heisenburps! (and others)
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Extrementhusiast
 
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Location: USA

Re: triller's p30 thread

Postby Jason Summers » September 6th, 2009, 2:40 pm

Extrementhusiast wrote:BTW, is there an absolute (any period, like the hammer reaction: two spaceships), p30, or p60 HWSS-to-LWSS converter?

Do you care what happens if the HWSS is not present?

I didn't find anything ready-made to do that, though at p60 at least, one could probably be built from this simple reaction:
......***
.....*..*
**......*
.**.*...*
**..*...*
*.......*
.....*.*.

(Or by any number of other ways. HWSS-to-LWSS reactions are not that uncommon.)

I know of this one for MWSSs:
#C P30 MWSS to LWSS downconverter
#C Peter Rott, 1994
x = 65, y = 48
26bo$25b2o$3bo5b2o13b2o4b2o5bo$bo3bo3b3o11b3o4b2o4bobo$5bo5b2obo9b2o4b
2o2b2o3bo14b2o$o5bo4bo2bo10b2o7b2o3bo13bobo$2o9b2obo11bo7b2o3bo12b3o4b
2o$9b3o10bo13bobo12b3o4bo2b4o$9b2o9bobo14bo6bo7b3o4b2ob3o$21b2o19b2o9b
obo$43b2o9b2o4$29bo$30bo$28b3o4bobo$35b2o$36bo3$2bo$o3bo$5bo10b5o$o4bo
9bo4bo$b5o14bo$15bo3bo$17bo$29bo$29b2o$28bobo3b2o$33b2o$35bo4$10b2o9b
2o$10bobo9b2o18bo$b3ob2o4b3o7bo6bo12b2o$b4o2bo4b3o12bobo11bobo8bobo$5b
2o4b3o12bo3b2o18bo3bo$10bobo13bo3b2o6b2o10bo12b2o$10b2o14bo3b2o6bo2bo
7bo4bo8b2o$27bobo3b2o7bo7bo$28bo3bo2bo6bo7bo3bo$33b2o7bo9bobo$38bo2bo$
38b2o!
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Re: triller's p30 thread

Postby Extrementhusiast » September 7th, 2009, 12:13 pm

Yes, I do care, but usually I can take care of the problem using (a) cleanup glider(s).

That downconverter wasn't what I wanted, but it helps. (I'm planning on making a racetrack.)

And I think I've made a lead on another downconverter:
...OO..
.O....O.
.......O
.O.....O
..OOOOOO
........
........
........
OOO.....
O..O....
O.......
O.......
.O.O....
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Re: triller's p30 thread

Postby knightlife » September 7th, 2009, 10:03 pm

I found a perfect HWSS to MWSS converter, no cleanup needed if the HWSS is not there.

fast downconverter for HWSS to MWSS:
x = 26, y = 17, rule = B3/S23
4bo19bo$3bo19bo$3b3o17b3o3$20b2o$18bo4bo$24bo$18bo5bo$19b6o5$b2o18b2o$
2o18b2o$2bo19bo!
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Re: triller's p30 thread

Postby calcyman » September 8th, 2009, 11:20 am

I found an elegant omniperiodic HWSS -> LWSS, but the reaction is slightly too high-period for p60:

..................**...........
..................**...........
...............................
...............................
...............................
...**..........................
.*....*...................*....
.......*..................*.*..
.*.....*..................**...
..******.......................
...............................
...............................
...............................
...............................
...............................
...............................
...........................**..
...........................*.*.
.............................*.
.............................**
...............................
...............................
...............................
...............................
..........................**...
.........................**....
...........................*...
...............................
...............................
...............................
...............................
...............................
...............................
...............................
.**............................
*.*............................
..*............................
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: triller's p30 thread

Postby Jason Summers » September 8th, 2009, 6:44 pm

This isn't a "hammering" reaction, but it's fast and unconditional. Note that it also works on MWSSs, though it takes longer to recover.
................*
..............**.
...............**
.................
.................
.................
.................
..**.............
*....*......**...
......*.....*.*..
*.....*.....*....
.******..........

I found this conditional HW->LW converter:
...........*.
....**....*..
...***....***
...**.*......
....***......
.....*.......
.............
.............
.............
..**.........
*....*.......
......*......
*.....*......
.******......

An unconditional version of it does not quite work at p30:
...............*.
........**....*..
..*....***....***
*.*....**.*......
.**.....***......
.........*.......
.................
.................
.................
......**.........
....*....*.......
..........*......
....*.....*......
.....******......

Better ways to do this surely exist.
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Re: triller's p30 thread

Postby Extrementhusiast » September 8th, 2009, 6:45 pm

Thank you everybody! I will benefit greatly from this.

BTW, it can be p120; I have a hammer reaction gun at that period. EDIT: Reduced it to p60.

EDIT: Found another way to make your second converter unconditional:
x = 39, y = 32, rule = B3/S23
2bo$obo$b2o4$26bo$19b2o4bo$18b3o4b3o$18b2obo$19b3o$20bo4$17b2o$15bo4bo
$21bo$15bo5bo$16b6o10$36b2o$36bobo$36bo!


Now we need a direct LWSS-to-HWSS converter.

EDIT: Another Gap 8 reaction:
x = 94, y = 72, rule = B3/S23
26b2o$25bo3bo$9b2o13bo5bo3b2o$2b3o4b2o13bo3bob2o2b2o$b5o6b2o10bo5bo$ob
o3bo5b3o10bo3bo$2o3bo6b2o12b2o$9b2o9bobo$9b2o10b2o$21bo5$28bo$29b2o$
28b2o40bobobobo$69bo7bo2$69bo2bo4bo$72bobo$69bo2b2o3bo$35bobo$36b2o31b
o7bo$36bo33bobobobo5$43bo$44b2o$43b2o3$65b2o$65b2o2$50bobo$51b2o$51bo
5$58bo$59b2o$58b2o6$65bobo$66b2o$66bo5$73bo$74b2o$73b2o2$83bo$80b4o4bo
$71bo7b4o5bo$70bobo6bo2bo9b2o$69bo3b2o4b4o9b2o$58b2o9bo3b2o5b4o$58b2o
9bo3b2o8bo$70bobo$71bo!


Gap 7 reaction:
x = 105, y = 102, rule = B3/S23
8$30b2o$29bo3bo$13b2o13bo5bo3b2o$6b3o4b2o13bo3bob2o2b2o$5b5o6b2o10bo5b
o$4bobo3bo5b3o10bo3bo$4b2o3bo6b2o12b2o$13b2o9bobo$13b2o10b2o$25bo5$32b
o$33b2o41bobobobo$32b2o41bo7bo2$75bo2bo4bo$78bobo$75bo2b2o3bo2$39bobo
33bo7bo$40b2o34bobobobo$40bo$56bo$56b3o$59bo$58b2o$47bo$48b2o$47b2o6$
54bobo11b2o$55b2o11bobo$55bo14bo$49b2o19b2o$49b2o3$62bo$63b2o$62b2o6$
69bobo$70b2o$70bo2$54b2o$54b2o2$77bo$78b2o$77b2o2$87bo$84b4o4bo$75bo7b
4o5bo$74bobo6bo2bo9b2o$73bo3b2o4b4o9b2o$62b2o9bo3b2o5b4o$62b2o9bo3b2o
8bo$74bobo$75bo!


Gap 4:
x = 163, y = 158, rule = B3/S23
34$57b2o$56bo3bo$40b2o13bo5bo3b2o$33b3o4b2o13bo3bob2o2b2o$32b5o6b2o10b
o5bo$31bobo3bo5b3o10bo3bo$31b2o3bo6b2o12b2o$40b2o9bobo$40b2o10b2o$52bo
5$59bo$60b2o$59b2o$106bo$105bo$105b3o3$66bobo$67b2o$67bo5$74bo$75b2o$
74b2o6$81bobo$82b2o$82bo5$89bo$90b2o$89b2o6$96bobo$97b2o$97bo5$104bo$
105b2o$104b2o2$114bo$111b4o4bo$102bo7b4o5bo$101bobo6bo2bo9b2o$100bo3b
2o4b4o9b2o$89b2o9bo3b2o5b4o$89b2o9bo3b2o8bo$101bobo$102bo!


Gap 3 that only accepts every third glider travelling along the same path:
x = 174, y = 118, rule = B3/S23
13$119bo5b2o$117bo3bo3b3o$121bo5b2obo8bo$116bo5bo4bo2bo6bobo$116b2o9b
2obo5bobo11b2o$125b3o7bo2bo11b2o$125b2o9bobo$137bobo$129bo9bo$127b2o$
128b2o6$120bobo$120b2o$121bo3$118b2o$48b2o67b2o$47bo3bo62bo4bo$31b2o
13bo5bo3b2o54b2o$24b3o4b2o13bo3bob2o2b2o55b2o$23b5o6b2o10bo5bo$22bobo
3bo5b3o10bo3bo$22b2o3bo6b2o12b2o76bo$31b2o9bobo80b2o$31b2o10b2o67bobo
10bobo$43bo71bo$111bo4bo2b2o$111b2obo2bob2o$115b2o2$50bo82b2o$51b2o79b
2o$50b2o82bo9bo$142bobo$130b2o9bobo$130b3o7bo2bo11b2o$121b2o9b2obo5bob
o11b2o$121bo5bo4bo2bo6bobo$57bobo66bo5b2obo8bo$58b2o62bo3bo3b3o$58bo
65bo5b2o5$65bo$66b2o$65b2o17bo$82b2o$83b2o4$72bobo$73b2o$73bo5$80bo$
81b2o$80b2o2$90bo$87b4o4bo$78bo7b4o5bo$77bobo6bo2bo9b2o$76bo3b2o4b4o9b
2o$65b2o9bo3b2o5b4o$65b2o9bo3b2o8bo$77bobo$78bo!


Gap 3/4 Reaction:
x = 187, y = 163, rule = B3/S23
22$94b2o5bo17b2o$93bobo5b3o15bobo$92b3o9bo9b2o6bo11bobo$92b2o9b2o5b2ob
o2bo2bo2bo10bo2bo4bo$92b2o16b2o2b2o6bo9b2o5b2o$93bobo9b3o11bobo8b2o3bo
8b2o$94bo10b3o11b2o11b2o10b2o$104bo3bo15bo8bo2bo$103bo5bo12b2o10bobo$
91b2o3b2o6bo3bo14b2o$91b2o3b2o7b3o$115bo$93b3o18b3o$93b3o17b4o$94bo$
113b2o$114b2obo9bobo2bobo$115b3o5b2obo2bo2bo2bob2o$98bobo15bo10bobo2bo
bo$96bo3bo$96bo$95bo4bo$96bo$96bo3bo$98bobo5$42b2o$41bo3bo$25b2o13bo5b
o3b2o$18b3o4b2o13bo3bob2o2b2o$17b5o6b2o10bo5bo$16bobo3bo5b3o10bo3bo$
16b2o3bo6b2o12b2o$25b2o9bobo$25b2o10b2o$37bo5$44bo$45b2o$44b2o6$51bobo
$52b2o$52bo5$59bo$60b2o$59b2o16bo$77bobo$77b2o4$66bobo$67b2o$67bo2$58b
ob2o$56b3ob2o$55bo$56b3ob2o12bo$58bobo14b2o$58bobo13b2o$59bo5$81bobo$
82b2o$82bo5$89bo$90b2o$89b2o2$99bo$96b4o4bo$87bo7b4o5bo$86bobo6bo2bo9b
2o$85bo3b2o4b4o9b2o$74b2o9bo3b2o5b4o$74b2o9bo3b2o8bo$86bobo$87bo!
Last edited by Extrementhusiast on September 9th, 2009, 8:20 pm, edited 1 time in total.
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Re: triller's p30 thread

Postby knightlife » September 9th, 2009, 1:55 am

calcyman wrote:I found an elegant omniperiodic HWSS -> LWSS, but the reaction is slightly too high-period for p60


I was able to remove the catalysts by repositioning the cleanup glider.
The glider that crosses the HWSS path only allows p73 or higher to work:
x = 28, y = 22, rule = B3/S23
2b2o$o4bo19bo$6bo18bobo$o5bo18b2o$b6o13$3b2o$4b2o$3bo21b2o$24b2o$26bo!
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Re: triller's p30 thread

Postby PM 2Ring » September 10th, 2009, 7:29 am

Hello, triller & welcome!

triller wrote:My primary interest is in periodic circuitry, and p30 at that.
I can relate to that. :) But it can get annoying when you need p30 glider streams to cross (it can be done, but all known mechanisms are fairly bulky).

That p30 / p60 converter is very impressive. (And I think I'll have to borrow your triple eater idea.) I like the way your rake pattern cleans up after itself, apart from the last eater. You really should clean that up, too. Someone might trip over it. :D


And thanks, guys, for all those SS converters (& turner). I'm sure they'll keep me amused for many hours.
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Re: triller's p30 thread

Postby knightlife » September 12th, 2009, 3:35 pm

triller wrote:My primary interest is in periodic circuitry, and p30 at that.
I've found that if you can conceptualize a mechanism, you can build it.
There's always a way (might not be the way you would like, though).


Just two p30 glider streams can make a MWSS gun if the proper gaps are there:
x = 309, y = 154, rule = B3/S23
bo$2bo$3o7$306bo$306bobo$306b2o4$16bo$17bo$15b3o7$291bo$291bobo$291b2o
4$31bo$32bo251bo$30b3o250bo$283b3o5$39bo$37bobo236bo$38b2o236bobo$276b
2o5$269bo$268bo$268b3o5$54bo$52bobo206bo$53b2o206bobo$261b2o4$61bo$62b
o191bo$60b3o190bo$253b3o5$69bo$67bobo176bo$68b2o176bobo$246b2o12$84bo$
82bobo$83b2o6$224bo$223bo$223b3o5$99bo$97bobo$98b2o6$209bo$208bo$208b
3o5$114bo$112bobo86bo$113b2o86bobo$201b2o4$121bo$122bo71bo$120b3o70bo$
193b3o6$186bo$186bobo$186b2o4$136bo$137bo41bo$135b3o40bo$178b3o5$144bo
$142bobo26bo$143b2o26bobo$171b2o4$151bo$152bo11bo$150b3o10bo$163b3o!


On the left the sequence 3211 is repeated twice, and on the right 71 is repeated twice.
Notice there is a gap of two before 71 is repeated.
When repeated indefinitely, a p330 MWSS gun is produced.
Is there a p30 memory loop (and duplicator) that can produce these sequences? I found only p46.
With larger gaps between the sequences any period 330 + 30n can be produced.
I like how the MWSS is synthesized from only two directions and no catalysts are needed.
Initial reaction found by accident.
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Re: triller's p30 thread

Postby PM 2Ring » September 13th, 2009, 3:30 am

Is there a p30 memory loop (and duplicator) that can produce these sequences?
Yes, there is. There are several examples of it in my Glider Circuits thread, and I use it in the new "ticker / printer" I posted recently in the "Marilyn" thread. I've also posted a Golly script to generate such loops of any size (but the total number of bits in the loop must be a multiple of 4).

Give me a few minutes and I'll see what I can cook up.
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Re: triller's p30 thread

Postby PM 2Ring » September 13th, 2009, 4:08 am

Here you go:

p330 MWSS gun using two glider streams.
x = 540, y = 279, rule = B3/S23
20b2o$21bo496b2o$21bobo5b2o487bo$22b2o5b3o477b2o5bobo$31b2obo8bo464b3o
5b2o$31bo2bo6bobo452bo8bob2o$31b2obo5bobo11b2o440bobo6bo2bo$6b2o12b2o
7b3o7bo2bo11b2o428b2o11bobo5bob2o$6b2o13bo7b2o9bobo441b2o11bo2bo7b3o7b
2o12b2o$21bob2o16bobo453bobo9b2o7bo13b2o$22bo10bo9bo452bobo16b2obo$26b
o4b2o463bo9bo10bo$24bo7b2o473b2o4bo$25bo480b2o7bo$514bo3$36b2o$6b3o26b
2o465b2o$5bo3bo20b2o5bo465b2o26b3o$4bo5bo19b2o470bo5b2o20bo3bo$5bo3bo
498b2o19bo5bo$6b3o521bo3bo$6b3o522b3o$531b3o$495bo$495b2o$494bobo$4b3o
$3b2ob2o3bo521b3o$3b2ob2o4b2o514bo3b2ob2o$3b5o3b2o6b2o505b2o4b2ob2o$2b
2o3b2o10b2o30b2o466b2o6b2o3b5o$50b2o435b2o30b2o10b2o3b2o$52bo435b2o$
487bo4$2b2o5b2o48bo$3bo6bo47b2o420bo48b2o5b2o$3o4b3o48bobo419b2o47bo6b
o$o6bo471bobo48b3o4b3o$532bo6bo$26bo$27b2o$26b2o2$472b2o$473b2o$472bo
3$504bobo$74bo429b2o$73b2o430bo$73bobo3$41bo$42b2o$41b2o2$457b2o$458b
2o$457bo3$489bobo$89bo399b2o$88b2o400bo$88bobo3$56bo$57b2o424bo$56b2o
423b2o$482b2o5$63bobo$64b2o408bobo$64bo39bo369b2o$103b2o330bo39bo$103b
obo329b2o$434bobo3$468bo$466b2o$111b2o354b2o$110b2o315b2o$112bo315b2o$
427bo2$78bobo$79b2o378bobo$79bo39bo339b2o$118b2o300bo39bo$118bobo299b
2o$419bobo2$86bo$87b2o364bo$86b2o363b2o$452b2o$412b2o$413b2o$412bo2$
93bobo$94b2o348bobo$94bo39bo309b2o$133b2o270bo39bo$133bobo269b2o$404bo
bo5$141b2o$140b2o255b2o$142bo255b2o$397bo2$108bobo$109b2o$109bo$390bo$
390b2o$389bobo3$423bo$421b2o$156b2o264b2o$155b2o$157bo3$123bobo$124b2o
$124bo$375bo$375b2o$374bobo3$408bo$406b2o$171b2o234b2o$170b2o$172bo2$
191bo6bo$138bobo48b3o4b3o142bo6bo$139b2o47bo6bo145b3o4b3o48bobo$139bo
48b2o5b2o147bo6bo47b2o$343b2o5b2o48bo4$146bo$147b2o244bo$146b2o30b2o
10b2o3b2o194b2o$178b2o6b2o3b5o147b2o3b2o10b2o30b2o$185b2o4b2ob2o148b5o
3b2o6b2o$187bo3b2ob2o148b2ob2o4b2o$192b3o149b2ob2o3bo$345b3o2$384bobo$
384b2o$190b3o192bo$190b3o154b3o$189bo3bo153b3o$167b2o19bo5bo151bo3bo$
161bo5b2o20bo3bo151bo5bo19b2o$162b2o26b3o153bo3bo20b2o5bo$161b2o184b3o
26b2o$377b2o3$173bo$165b2o7bo191bo$166b2o4b3o190bo7b2o$155bo9bo199b3o
4b2o$155bobo216bo9bo$156bobo9b2o21b2o189bobo$143b2o11bo2bo7b3o21b2o
154b2o21b2o9bobo$143b2o11bobo5bob2o179b2o21b3o7bo2bo11b2o$155bobo6bo2b
o13bo190b2obo5bobo11b2o$155bo8bob2o11bobo176bo13bo2bo6bobo$167b3o5b2o
3b2o176bobo11b2obo8bo$168b2o5bobo180b2o3b2o5b3o$177bo184bobo5b2o$177b
2o183bo$361b2o9$196bo$194bobo$195b2o6$336bo$335bo$335b3o5$211bo$209bob
o$210b2o6$321bo$320bo$320b3o5$226bo$224bobo86bo$225b2o86bobo$313b2o4$
233bo$234bo71bo$232b3o70bo$305b3o6$298bo$298bobo$298b2o4$248bo$249bo
41bo$247b3o40bo$290b3o5$256bo$254bobo26bo$255b2o26bobo$283b2o4$263bo$
264bo11bo$262b3o10bo$275b3o!
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Re: triller's p30 thread

Postby knightlife » September 13th, 2009, 10:36 am

It works!

I tried shrinking it and got this p360 MWSS gun:
x = 158, y = 91, rule = B3/S23
20b2o$21bo$21bobo5b2o$22b2o5bo2bo103b2o$33bo9bobo90bo$33bo7bo3bo82bo5b
obo$33bo7bo12b2o72bobo3b2o$6b2o12b2o7bo2bo7bo4bo8b2o55bo17bobo$6b2o13b
o7b2o10bo69b2o16bo2bo$21bobo17bo3bo56b2o2b2o4b2o15bobo$22b2o8bobo8bobo
56b2o2b2o4b3o13bobo5b2o12b2o$25b2o5b2o72b2o4b2o7bobo4bo7bo13b2o$25bobo
5bo77b2o9b2o10bobo13b2o$25bo85bo10bo11b2o14bo$149bobo$149bobo$150bo2$
129bo$4b2o3b2o19b2o98b2o15b2o3b2o$6b3o21b2o97b2o16bobobobo$5bo3bo138b
5o$6bobo117b2o21b3o$7bo118b2o22bo2$17bobo$17b2o$18bo$4b3o$10bobo$4bobo
4b2o134bobo$3b5o3bo7b2o126b2o$2b2o3b2o10b2o31bo95bo$2b2o3b2o42b2o$51bo
bo24bo58b2o$78b3o56b2o12b3o$18bo52bo9bo68bo3bo$19b2o48b3o4b4o2bo20bo
40bo4bo5bo$18b2o48bo6bo4b2o21b2o37bobo5bo3bo$2b2o5b2o57b2o5b2o2bo6bo
15bobo38b2o6b3o$3bo6bo48b2o18b3o4b3o62b3o$3o4b3o48b2o22bo6bo$o6bo52bo
20b2o5b2o57b2o5b2o$147bo6bo$83b3o62b3o4b3o$70b2o3b2o6b3o9b2o35bobo15bo
6bo$58b2o10b2o3b2o5bo3bo9b2o34b2o$58b2o7bo3b5o5bo5bo7bo37bo$66b2o4bobo
7bo3bo$66bobo14b3o12b2o$72b3o23b2o$33bo$34b2o52bo37bo$33b2o53b2o34b2o$
87bobo35b2o$71bo$70bobo$69bo3bo$47b2o21b3o$40bobo4b2o3b2o14b2o3b2o$41b
2o10b2o62bobo$41bo10bo33bo22b2o6b2o$85b3o21b2o7bo$84b5o$83bobobobo$83b
2o3b2o$45bo60bo$45b2o59bobo$33bobo8bobo39bo19b2o$33bo3bo47bobo$37bo10b
2o21b2o12bobo$23b2o8bo4bo7bo2bo21b2o13bo27bo10bo$23b2o12bo7bo14bo24b2o
26b2o9b2o$33bo3bo7bo15bo23b2o12bo8bo4bobo7b2o4b2o$33bobo9bo13b3o23b2o
11bo7bobo13b3o4b2o2b2o$46bo2bo5b2o41b3o4bobo15b2o4b2o2b2o$48b2o5bobo
46bo2bo16b2o$57bo47bobo17bo$57b2o42b2o3bobo$100bobo5bo$68bo31bo$66bobo
22bo7b2o$67b2o22bobo$91b2o4$75bo$76bo7bo$74b3o6bo$83b3o!


The sequence of 11 is now 12 which allows a more compact version.
Here is a single memory loop that outputs two different sequences!
x = 72, y = 65, rule = B3/S23
27b2o$28bo$28bobo8b2o$29b2o7bo$37bo12b2o$37bo7bo4b2o$37bo8b2o5b2o6b2o$
13b2o12b2o9bo4b2o2bo5b3o5b2o$13b2o13bo10b2ob5o6b2o$28bobo14bo4b2o$29b
2o19b2o2$37bo$14bo21bo$14bo21b3o$13bobo$12b2ob2o24b3o$11bo5bo23bo$14bo
27bo$11b2o3b2o19b2o$29bo7b2o$29bobo$12b4o13b2o40bo$12bo2b2o32b2o18b3o$
13bob2o32bobo16bo$49bo18b2o$14b2o$15bo6bo$21bo$23bo$9b2obob2o5b3o$9bo
5bo6bo3b2o28b3o6b3o$10bo3bo7bo3b2o23b2o3bo7bo3bo$11b3o6b3o28b2o4bo5bo
5bo$63b2obob2o3$63bo$63b2o$9b2o4bobo$10bo4b2o45b2obo$7b3o6bo45b2o2bo$
7bo40b2o13b4o$47bobo$40b2o7bo$40b2o19b2o3b2o$9bo54bo$7b2o52bo5bo$8b2o
52b2ob2o$63bobo$40b3o21bo$42bo21bo$41bo2$obo24b2o$2o25b2o4bo$bo22b2o6b
5ob2o24b2o$16b2o5b3o5bo2b2o4bo23b2o$16b2o6b2o5b2o8bo$27b2o4bo7bo$27b2o
12bo$40bo7b2o$38b2o8bobo$50bo$50b2o!


There is clearly an oddball function going on, not a simple inversion.
It has not been optimized or cleaned up, it is just a curiosity.
One glider becomes two and vice versa at the two ends of the loop!
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Re: triller's p30 thread

Postby PM 2Ring » September 13th, 2009, 11:42 am

knightlife wrote:It works!

Of course! :)

knightlife wrote:I tried shrinking it and got this p360 MWSS gun:

The sequence of 11 is now 12 which allows a more compact version.

Now why didn't I think of doing that... I guess I was just in a rush to build it, and didn't bother experimenting with the glider sequences, or thinking about it too much. FWIW, I used my bitmap printer script to build the loops & populate them from a simple bit pattern. BTW, I like the way how you merged those two fish-hook eaters. I guess I need to study the eaters collection a bit better.

knightlife wrote:Here is a single memory loop that outputs two different sequences!

There is clearly an oddball function going on, not a simple inversion.
It has not been optimized or cleaned up, it is just a curiosity.
One glider becomes two and vice versa at the two ends of the loop!


Yes, note the extra blocks that appear in the loop. I noticed this happening when I was trying to build loops with glider numbers that weren't a multiple of 4. I thought I'd somehow managed to make it happen, then I realized weird stuff was happening. :)
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Re: triller's p30 thread

Postby knightlife » September 13th, 2009, 1:12 pm

PM 2Ring wrote:loops with glider numbers that weren't a multiple of 4


I suspected that was the case when I realized the end of the memory loop that I was shortening could not possibly "know" that the loop was shorter by four since deleting two gliders (in two streams) keeps the same phase.

PM 2Ring wrote:BTW, I like the way how you merged those two fish-hook eaters. I guess I need to study the eaters collection a bit better.:)


Just try building still lifes a lot and you get to know what works. With Golly's undo and redo (and assignable keys) you can quickly test and retest as you build. I forget which version of Golly added undo but 1.2 does not have it.
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Re: triller's p30 thread

Postby triller » September 14th, 2009, 6:29 pm

P30 Sniper Gun

I developed this device after building an 8 byte read/write memory "rank".
I needed some way of collating stacked ranks so that a single receiving device would be all that was required.
Data from a p30 MWSS gun is heisenburped and the MWSS continues on to a xWSS to glider converter.
The burped glider is bounced around, fanned out, and bounced some more to yield a 3 glider LWSS synthesis.
With MWSS data this device works quite nicely at p30. Note that the LWSS output path is devoid of mechanism.
Also shown is a p60 LWSS sniper. It's basically the same device, but with a different SS to glider converter.

P30 MWSS gun by Dieter Leithner, with optimization by David Bell and Noam Elkies. The glider pusher and fanout also by Dieter. P960 gun from Dieter & Peter's collection.
Buckaroo by David Buckingham. The Metamotphosis II glider to LWSS device by Paul Rendell (I think). Steven Silver's Lexicon also mentions Robert Wainwright and Paul Callahan so the provenance is a little sketchy. The p30 SS to glider is by Steven Silver, and the p6 used in the p60 LW sniper by Noam Elkies. Gap 8 by Paul Rendell. Meerschaum is mine.

x = 438, y = 397, rule = B3/S23
376bo$374b3o$373bo$373b2o66$323bobo$323bo2bo$308bo6bo10b2o$307b
obo5bo8bo3b2o4b2o$306bob2o6bo9b2o6b2o$300b2o3b2ob2o9b2o2bo2bo
$300b2o4bob2o5b3o2bo2bobo$307bobo7b4o$308bo9b2o4$326bo$327b2o
$326b2o6$333bobo$334b2o$334bo5$341bo$342b2o$341b2o$320b2o$318b
o4bo38b2o$317bo6bo37bo$316bo8bo28b2o3b2obo$299b2o15bo8bo27bo3b
o3bo$299bo10bo5bo8bo11b2o13bo$289bo7bobo9bo7bo6bo5b3o4b2o13bo
3bo2bo$289b4o4b2o11bo7bo4bo5b5o6b2o5b2o3bo5bo$273bo16b4o26b2o
6bobo3bo5b3o3bo6bo3bo$272bobo5b2o8bo2bo34b2o3bo6b2o5b2o5b2o$265b
2o3b2o3bo14b4o14b2o3b2o22b2o$265b2o3b2o3bo4bobob2o3b4o15b2o3b
2o22b2o$270b2o3bo5b2o3bo2bo19b5o$272bobo10bo24bobo$273bo8bo2b
o$310b3o3$292bo$293bo14b2o$291b3o15bo$306b3o$306bo$289b2o22b2o
$289b2o22bo$306bo4bobo$259b2o44bobo3b2o$259bo2bo25b2o15b2obo$
288bobo14b2ob2o$263bo27bo13b2obo$288bo2bo6b3o4bobo$261b2o28bo
6bo7bo$260bo20b2o5bobo8b2o$280bobo5b2o$280bo$257b2o3b2o15b2o$
257b2o3b2o$258b5o$259bobo$276b2o$259b3o14b2o5$257b2o$112b2o50b
obo91bo16b3o$112b2o50bo2bo87b3o16b2ob2o$149bo6bo10b2o86bo18b2o
b2o$148bobo5bo8bo3b2o4b2o97b5o$63bo47b3o33bob2o6bo9b2o6b2o96b
2o3b2o$63bobo45b3o27b2o3b2ob2o9b2o2bo2bo$44bo21b2o5bo67b2o4bo
b2o5b3o2bo2bobo$44b3o5b2o12b2o4bobo73bobo7b4o$47bo4b2o12b2o3b
o3bo73bo9b2o$46b2o15bobo5b5o33b2o3b2o$63bo6b2o3b2o33b5o28bobo
$50bo20b5o35b3o24bo4bo2bo29bo$50bo21b3o37bo26b2o5b2o19bo6b3o101b
2o$73bo60b2o8bo3b2o5bo12b2o3bo104bo$134b2o10b2o6bobo10b2o5bo104b
3o$46b2o3b2o90bo2bo6bo3bo13bo2bo106bo$47b5o65b2o24bobo8b3o13b
o$48b3o23bo43bo33b2o3b2o11bobo$49bo21b2o45bobo6bobo41bo83b2o$
71b3o39bo5b2o5bo2bo125bobo8b2o73bobo$72b2o40b2o9b2o10bo6bo101b
2o2b2o6bo6bo7bo66bo2bo4bo$72bo40b2o8b2o3bo8bo5bobo16bo5b2o3b2o
66bo4b2obo2bo2bo2bo6b3o4bobo64b2o5b2o$71bobo51b2o9bo6b2obo10b
o4bobo3bobobobo64b3o8b2o6bo13b2obo4b2o55b2o3bo8b2o$71b2o53bo2b
o2b2o9b2ob2o8bo5b2o5b5o64bo16bobo14b2ob2o3b2o57b2o10b2o$68bo58b
obo2bo2b3o5b2obo9b2o12b3o65b2o15b2o15b2obo56b2o6bo2bo$50bo16b
obo62b4o7bobo3b2o6bo13bo100bobo56bobo7bobo$51b2o15b2o2b2obob2o
28b2o3b2o19b2o9bo4bobo121bo57bo$50b2o57b3o8bobo28bo7b2o169b2o
100b2o$72bo5bo29bo3bo8b2o28b2o8bo268bo4bo$57b2o50bobo9bo34bo3b
o268bo6bo$73b2ob2o32bo45bo19bo29bo221bo8bo$55bo19bo69bo2bo8bo
16bo3bo25bo3bo49b3o167bo8bo$44b2o3b2o4bo4bo70b4o14bo10b5o14bo
10b5o14bo10b5o35bo167bo8bo$46b3o6bo3bo6bo63bo3bo10bo3bo9bo4bo
9bo4bo9bo4bo9bo4bo9bo4bo34bo169bo6bo$45bo3bo6b3o8bo42b2o22bo11b
4o14bo10b5o14bo10b5o14bo2bo202bo4bo$46bobo5bo2bo5b5o42b2o18bo
2bo26bo2bo25bo3bo25bo3bo3b2o203b2o$47bo5bo9b2ob2o6b2o40bobo72b
o29bo4bobo194bo$53bo3bo2bo13b2o38bo3bo5b3o32bo261bobo$40bo13b
o3b2ob2ob2o41b2o5bo7bobo2bo2b2o21b2o4bo8bo82b2o169bobo$39b3o12b
o7b3o42b2o4bo4bo7b2o2bo2bo18bo9bo4bobo80bobo169bo$38b5o4b2o8b
o2bo53bo19bo6b2o10bo4bobobo5bo83bo$47b2o9bo2bo52bo3bo2b3o10bo
6b2o11bo7bo78bo$59b2o55bobo15bo22bo61b2o19b4o$130bo2bo23bobo60b
2o17b2obobo6bobo$130b2o23bo63bo6b2o10b3obo2bo3bo3bo$152bo7bo65b
o12b2obobo4bo$63bo87bo4bobobo5bo57bobo3b2o8b4o4bo4bo8b2o$38b5o
20bo86bo9bo4bobo56b2o3bobo9bo7bo12b2o$39b3o21bo87b2o4bo8bo62b
o19bo3bo$40bo116bo54bo15b2o21bobo$157bo54b2o$211bobo2$42bo17b
2o15b2o$42bo18bo14b2o$42bo18bobo4bo9bo$48bobo11b2o3bobo167b2o
$48bo2bo14bob2o134b2o31bobo$51b2o12b2ob2o135b2o20bo4b2o4b3o$49b
o3b2o11bob2o134bo21bobob2o2bo4b3o6b2o$51b2o14bobo123b2o30bo3b
ob3o4b3o7b2o$48bo2bo5b2o9bo123bo3bo17b2o9bo3bob2o4bobo$48bobo
6bobo20b2o99b2o8bo5bo7bo8b2o9bo3b2o6b2o$39b2o18bo16b2o2b2o99b
2o8bo3bob2o4bobo20bobo$41bob2o14b2o15b2o2bob2o107bo5bo3b2o24b
o$37bo2bo2b2o36b3o108bo3bo4b2o28b3o$37bobo153b2o6b2o28bo$38bo
164bobo7b2o17bo$81b2o122bo7bobo$38b2o41b2o132bo$38b2o175b2o2$
239b2o$239bobo$8bo230bo$7bobo$6bob2o$5b2ob2o$6bob2o$2b2o3bobo
248b2o$bobo4bo237b3o2bo5bo3bo$bo240bo3bo9bo5bo$2o12b2o224bobo
4bo8bo3bob2o2b2o$238b2o16bo5bo3b2o$232b2o4b2o17bo3bo$232b2o4b
2o18b2o$240bobo$13b2o3b2o222bo$14b5o$14b2ob2o$14b2ob2o$15b3o$
51bo$51bobo$52bobo13bo$13b2o37bo2bo3b2o5b3o$14bo37bobo4b2o4bo
$11b3o37bobo11b2o$11bo39bo2$38b3o$37bo3bo$36bo5bo$36bo5bo19b3o
$39bo21bo3bo$37bo3bo18bo5bo$38b3o19b2obob2o$39bo2$63bo$36b3o23b
obo$36b3o23bobo$35bo3bo23b2o$43bobo19bo260b2o$34b2o3b2o3b2o18b
3o257bo2bo$44bo18bo3bo243bobo9bo7b5o$48bo13bob3obo242bo3bo7bo
6bo5bo$47b3o8bo4b5o247bo7bo7b2o3bo$47bo2bo5b2o243b2o8bo4bo7bo
2bo7bo$45bo2bob2o5b2o242b2o12bo10b2o$44bo2bob2o260bo3bo$45bob
4o260bobo8bobo$323b2o$48b2obobo269bo$37b2o8b2o3bob2o$37b2o11b
obob2o$50bobo2bo15b3o$49bob4o15bo3bo$64b2o4bo3bo255bo$64b2o5b
3o257b2o$330b2o2$124b2o$124b2o$71b3o$70bo3bo$70bo3bo262bobo$71b
3o264b2o$338bo$125bo$34bobo87b3o$34b2o15b2o71b3o$35bo15bo$39b
o9bobo70b2o3b2o216bo$38bobo8b2o11bo14bo44b2o3b2o188bo6bo21b2o
$36b2o3bo20b4o9bobo238b2o6b2o20b2o3bo$36b2o3bo21b4o9b2o221b2o
14b3o6b3o18b2o4b2o$36b2o3bo21bo2bo58b2o172bo16b2o6b2o13b2o11b
2o8b2o$38bobo22b4o57bobo161bobo6bobo17bo6bo13b3o3bo7b3o7b2o$33b
2o4bo14b2o6b4o57b2o2bo158bo3bo6b2o12bo23bob2o4b4o5b2o$32b4o17b
obo6bo6bo2bo51b2o152bo7bo24bo16b2o5bo2bo4bo4bo2b2o$31bo2bobo16b
o18bo51b2o122b2o27b4o4bo4bo19bobo15b2o5bob2o5bo3bo2bo$30bobo2b
2o15b2o14bo4bo50bo122bo2bo14b2o9b2obobo4bo22b2ob2o24b3o3b2obo
$29bobo36b2o2bobo175bo14b2o8b3obo2bo3bo3bo17bo5bo24b2o$28b2o43b
ob2o47bo5bo103b2o14bo25b2obobo6bobo20bo$28b3o93bo5bo103b2o12b
obo26b4o27b2o3b2o$29bobo86bo6bo3bo118bobo27bo$30b2o41bo2bo41b
obo5b3o120bo39bo$73b2o43b2o167bobo22bo$288b2o22bo$79b2o165b2o
3b2o60bo$80bo165bo5bo$80bobo$81b2o28bo135bo3bo58b2o$110bo137b
3o12b2o31bo13b2o$110b3o150bo2bo22b2o6bo$126b2o105b5o51b2o4b3o
$126b2o104bob3obo28bo33bo$233bo3bo62bobo$234b3o28b2o23b2o6b2o
3bo9b2o$235bo28bo24bobo4b2obo3bo9b2o$103bo142bo41b3o4b3obo3bo
$103bobo140bobo38b3o4bo2b2obobo$103b2o141b2o13b2o3b2o20b3o4b2o
4bo$233bo27b2o3b2o13b2o6bobo$233bo17bo10b5o13bobo7b2o$232bobo
5bo9b3o10bobo14bo$231b2ob2o2bobo8b5o25b2o4bo$96bo133bo5bo2b2o
7b2o3b2o8b3o17b3o$95bo137bo15b5o28bo$59b2o3bo2bo3b2o22b3o132b
2o3b2o12bo3bo28b2o$59b5o4b5o177bobo$59b2o3bo2bo3b2o178bo$232b
o28b2o$232bo20b2o7bo16b3o$231bo21bo5b3o16b2ob2o$60b2o26bo165b
3o2bo18b2ob2o$59bobo26bobo165bo21b5o$45bo12b3o4b2o21b2o143b2o
42b2o3b2o$40bo4b4o8b3o4bo2b4o162b2o$40bo5b4o8b3o4b2ob3o$35b2o
9bo2bo9bobo193bo$35b2o9b4o10b2o191bobo$45b4o8bo18bo177b2o$45b
o12bo15bobo6b2o$56b3o7b2o4b2o18b2o$66b2o4b2o17bo3bo186b2o$72b
2o16bo5bo185bo$74bobo2bob2o7bo3bob2o2b2o181b3o$76bo2bobo8bo5b
o3b2o183bo$80bo10bo3bo$65bo26b2o$63bobo$64b2o3$257b2o$256bobo
82bo$72bo173b2o7b3o4b2o4bo72b4o$73bo172b2o6b3o4bo2b2obobo72b4o
$71b3o181b3o4b3obo3bo9b2o60bo2bo5b2o$256bobo4b2obo3bo9b2o60b4o
5b2o$74b2o181b2o6b2o3bo61b2o7b4o$74bo192bobo61bobo7bo$75b3o190b
o62bo$77bo184b3o65b2o$264bo163b3o$263bo164bob3o$427b2o4bo$52b
2o376b3obo$52bobo372b2obo2bo$53b3o371b2o2b2o$54b3o371b2obo$53b
3o375bo$45b2o5bobo375b2ob2o$44bobo5b2o192b2o181bo2bobo$44bo201b
o182b3o$43b2o188bo10bobo179bo$232bobo9b2o180b4o$222b2o6b2o3bo
193bo$221bobo4b2obo3bo11b3o178bo$220b3o4b3obo3bo13bo178b2o$59b
o151b2o6b3o4bo2b2obobo13bo$58b3o150b2o7b3o4b2o4bo$57b5o159bob
o$56b2o3b2o159b2o$57b5o$57bo3bo174bo$58bobo173bobo$57b3o175b2o
$56b2o180b2o$57bo180b2o$54b3o$54bo168bo8b2o$221bobo6bo2bo$220b
obo7bo3bo2b2o$214b2o3bo2bo7bo2b2o2b3o$214b2o4bobo16b2obo5b2o$
221bobo4b3o8bo2bo5b2o$223bo15b2obo$237b3o$237b2o!


enjoy
triller
triller
 
Posts: 52
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Re: triller's p30 thread

Postby knightlife » October 10th, 2009, 5:43 pm

Oscillator with period 1170 uses four p30 guns:
x = 90, y = 90, rule = B3/S23
57b2o$57b2o6$58bo$57b3o$57b3o2$55b2o3b2o$55b2o3b2o3$58b2o$57bobo$56b2o
2bo$57b2o$57b2o$57bo2$57bo5bo$57bo5bo$51bo6bo3bo$51bobo5b3o$22b2o27b2o
$24bo$11b2o12bo8b2o$11b2o4bo7bo8b2o$8b2o5b2o8bo$2o5b3o5bo2b2o4bo19bo$
2o6b2o6b5ob2o19bo$11b2o4bo25b3o$11b2o47b2o$60b2o$25bo$26bo$24b3o5$56b
2o$33bo22bobo$31bobo22bo$32b2o5$63b3o$63bo$64bo$28b2o$28b2o47b2o$44b3o
25bo4b2o$46bo19b2ob5o6b2o6b2o$45bo19bo4b2o2bo5b3o5b2o$64bo8b2o5b2o$54b
2o8bo7bo4b2o$54b2o8bo12b2o$65bo$37b2o27b2o$28b3o5bobo$27bo3bo6bo$26bo
5bo$26bo5bo2$32bo$31b2o$31b2o$29bo2b2o$30bobo$30b2o3$28b2o3b2o$28b2o3b
2o2$30b3o$30b3o$31bo6$31b2o$31b2o!


The block in the center appears and disappears making the period long.
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Re: triller's p30 thread

Postby triller » October 24th, 2009, 9:07 pm

I haven't posted in a while so I thought I'd add some archival material I've collected.

First, some LWSS/glider collisions.

1) Head on. These all work @ p30, but results vary depending on whether gliders or LWSSs are missing from the streams.

#C LWEatGHeads
x = 99, y = 180, rule = B3/S23
96bo$95bo$95b3o6$88bo$88bobo$88b2o5$81bo$80bo$80b3o6$73bo$73b
obo$73b2o5$66bo$65bo$15bo2bo26bo2bo16b3o$b4o14bo11b4o14bo11b4o
$o3bo10bo3bo10bo3bo10bo3bo10bo3bo$4bo11b4o14bo11b4o14bo31bo$o
2bo26bo2bo26bo2bo32bobo$96b2o5$89bo$88bo$88b3o6$81bo$81bobo$81b
2o5$74bo$73bo$73b3o6$66bo$66bobo$o2bo26bo2bo26bo2bo2b2o$4bo11b
4o14bo11b4o14bo$o3bo10bo3bo10bo3bo10bo3bo10bo3bo31bo$b4o14bo11b
4o14bo11b4o31bobo$15bo2bo26bo2bo47b2o5$89bo$88bo$88b3o6$81bo$
81bobo$81b2o5$74bo$73bo$73b3o6$66bo$66bobo$66b2o$15bo2bo26bo2b
o$b4o14bo11b4o14bo11b4o$o3bo10bo3bo10bo3bo10bo3bo10bo3bo$4bo11b
4o14bo11b4o14bo$o2bo26bo2bo26bo2bo5$96bobo$96b2o$97bo5$90bo$88b
2o$89b2o6$81bobo$81b2o$82bo5$75bo$73b2o$74b2o2$15bo2bo26bo2bo
$b4o14bo11b4o14bo11b4o$o3bo10bo3bo10bo3bo10bo3bo10bo3bo$4bo11b
4o14bo11b4o14bo$o2bo26bo2bo26bo2bo2bobo$66b2o$67bo4$95bo$95bo
bo$95b2o5$88bo$87bo$87b3o6$80bo$80bobo$80b2o5$73bo$72bo$72b3o
$15bo2bo26bo2bo$b4o14bo11b4o14bo11b4o$o3bo10bo3bo10bo3bo10bo3b
o10bo3bo$4bo11b4o14bo11b4o14bo$o2bo26bo2bo26bo2bo$65bo$65bobo
$65b2o!


2) Tail on. All work @ P30.
#C LWEatGTails
x = 69, y = 159, rule = B3/S23
15bo2bo26bo2bo$b4o14bo11b4o14bo11b4o$o3bo10bo3bo10bo3bo10bo3b
o10bo3bo2b2o$4bo11b4o14bo11b4o14bobobo$o2bo26bo2bo26bo2bo4bo6$
59b3o$61bo$60bo5$52b2o$51bobo$53bo6$44b3o$46bo$45bo5$37b2o$36b
obo$38bo6$o2bo26bo2bo26bo2bo$4bo11b4o14bo11b4o14bo$o3bo10bo3b
o10bo3bo10bo3bo10bo3bo2b2o$b4o14bo11b4o14bo11b4obobo$15bo2bo26b
o2bo19bo6$59b3o$61bo$60bo5$52b2o$51bobo$53bo6$44b3o$46bo$45bo
5$37b2o$36bobo$38bo6$o2bo26bo2bo26bo2bo$4bo11b4o14bo11b4o14bo
$o3bo10bo3bo10bo3bo10bo3bo10bo3bo$b4o14bo11b4o14bo11b4o2b2o$15b
o2bo26bo2bo17bobo$68bo6$59b3o$61bo$60bo5$52b2o$51bobo$53bo6$44b
3o$46bo$45bo5$37b2o$36bobo$38bo5$15bo2bo26bo2bo$b4o14bo11b4o14b
o11b4o$o3bo10bo3bo10bo3bo10bo3bo10bo3bo$4bo11b4o14bo11b4o14bo
$o2bo26bo2bo26bo2bo2$61b3o$63bo$62bo5$54b2o$53bobo$55bo6$46b3o
$48bo$47bo5$39b2o$38bobo$40bo6$31b3o$33bo$32bo!


3) My favorite: Gosper's diverting reaction.

#C Divert
x = 100, y = 35, rule = B3/S23
98bo$97bo$97b3o6$90bo$90bobo$90b2o5$83bo$82bo$82b3o6$75bo$75b
obo$75b2o5$o2bo26bo2bo26bo2bo4bo$4bo11b4o14bo11b4o14bo2bo$o3b
o10bo3bo10bo3bo10bo3bo10bo3bo2b3o$b4o14bo11b4o14bo11b4o$15bo2b
o26bo2bo!


Here I've used this last to create a one-shot latch. Sort of a Life version of a monostable multivibrator. A p240 gun provides the trigger timing, and a glider deleted from the glider stream at almost tine in this period causes a LWSS to be released (here a p960 counter sets the latch).

#C OneShotLatch
x = 172, y = 153, rule = B3/S23
138b2o$138b2o6$138b3o$137b2ob2o$137b2ob2o$127bo9b5o$127bo8b2o
3b2o$126bobo$127bo$127bo11b2o$127bo9b5o$127bo13bo$126bobo8b3o
$127bo9bo$127bo10b2o$138b2o3$138b2o3b2o$138bobobobo$131bobo5b
5o$131b2o7b3o$132bo8bo$98bo$96b3o$95bo$95b2o2$121bobo$61bo59b
2o17b2o$59b3o31bo46b2o$58bo33b3o36bo$58b2o32b3o34b4o$128bobob
2o$90b2o3b2o30bo2bob3o$90b2o3b2o31bobob2o$122b3o4b4o8b2o$117b
o4b3o6bo9bobo$92b2o21b3o3bo3bo17bo$56bo35bobo19bo28b2o$55b3o33b
o2b2o18b2o4b2o3b2o$54b5o34b2o$53b2o3b2o33b2o$54b5o35bo6bo10bo
12b2o5b2o$54bo3bo42bobo6b2ob2o8bo4bo3b3o$55bobo30bo5bo6b2o25b
o5b2obo5b2o$56bo31bo5bo14bo5bo6bo6bo4bo2bo5b2o14bo$89bo3bo6bo
4b2o15bobo9b2obo21b3o$90b3o5bobo4b2o2b2obob2o16b3o27bo$54bo44b
2o31b2o27b2o$52b2ob2o$61bo48bo$51bo5bo4bo47bo2bo$60b3o45bo$51b
2obob2o48b4o3b2o$88b2o16bo4bo2bo46b2o3b2o$89bo16b2o4bobo49bo$
86b3o23b2o43b2o2bo5bo$86bo70bo4b2ob2o$69bo53b2o21b2o7bobo5bob
o$67bobo37b2o3b2o10bo21bobo6b2o7bo$68b2o37bo5bo10bobo7bo12b3o
14bo$125b2o4b4o3b2o8b3o$54b2o52bo3bo17b4o3b2o8b3o$54b2o53b3o18b
o2bo3b2obob2o2bobo$130b4o4bobob2o2b2o$76bo54b4o3bob2o$77bo56b
o25bobo$75b3o82b2o$93b2o66bo3b3o$93bo54bo15bo3bo$91bobo16b2o37b
2o12bo5bo$91b2o17b2o36b2o13b2obob2o2$84bo69bo$82bobo23bo2bo26b
o2bo10b2o$83b2o7b4o11bo14b4o11bo15b2o$92bo3bo10bo3bo10bo3bo10b
o3bo$92bo14b4o11bo14b4o27b2o$93bo2bo26bo2bo21b3o17bo$82b2o64b
o12bo7b3o$81bobo65bo8b4o9bo$83bo61b2o10b4o$145bobo9bo2bo$136b
3ob2o4b3o8b4o$136b4o2bo4b3o8b4o6b2o$140b2o4b3o12bo6bobo$145bo
bo22bo$145b2o23b2o2$46bo$46b3o$49bo$48b2o5$44b2o5bo$44b2o4b3o
$49b5o$48bobobobo$48b2o3b2o3$51bo$50bobo18b2o$50bobo18b2o$51b
o22b2o6b2o$43b3o4b2o22b3o5b2o$42bo3bo3b2o22b2o$41bo5bo2b2o19b
2o$34b2o6bo3bo24b2o$33bobo7b3o$23b2o7bo6b2o2b3o18b2o$23b2o7bo
2bo2bo2bo$32bo6b2o$33bobo$34b2o$63b2obob2o$45b2o$34b2o9b2o16b
o5bo$34bo$23bobo6bobo29b2ob2o$21bo3bo6b2o32bo$13bo7bo$12b4o4b
o4bo$11b2obobo4bo13b3o13bo$2o8b3obo2bo3bo3bo11bo11bobo$2o9b2o
bobo6bobo10bo11bobo15b2o$12b4o26b2o3bo2bo15b2o$13bo28b2o4bobo
$24bo24bobo8b2o$22bobo26bo8bobo$23b2o37bo$62b2o$27b2o$27b2o2$
13bobo$12bo2bo3b2o$3b2o6b2o5b3ob2o2b2o$3b2o4b2o3bo3bo3bo3bobo
$11b2o5bobo8bo$12bo2bo2b2o6bo2bo7b2o$13bobo13bo7b2o$26bobo$26b
2o!


Lastly, some useful clean burning LWSS/LWSS 90 degree collisions.

#C LW90Collide2
x = 147, y = 126, rule = B3/S23
40bo2bo$44bo$40bo3bo91bo2bo$41b4o49bo2bo42bo$98bo37bo3bo$94bo
3bo38b4o$95b4o6$102bo$47b3o51b3o$46bo2bo51bob2o40bo$49bo52b3o
39b3o$49bo52b2o39b2obo$46bobo94b3o$144b2o25$40bo2bo92bo2bo$44b
o95bo$40bo3bo91bo3bo$41b4o92b4o2$145bo$144b3o$143b2obo$47b3o93b
3o$46bo2bo94b2o$49bo$49bo$46bobo18$o2bo36bo2bo$4bo39bo$o3bo35b
o3bo48bo2bo38bo2bo$b4o36b4o52bo41bo$93bo3bo37bo3bo$94b4o38b4o
2$6b3o38b3o$5bo2bo37bo2bo$8bo40bo51bo$8bo40bo50b3o$5bobo38bob
o51bob2o37b3o$101b3o37bo2bo$101b2o38bo$141bo$142bobo25$40bo2b
o$44bo$40bo3bo$41b4o50bo2bo36bo2bo$99bo39bo$47b3o45bo3bo35bo3b
o$46bo2bo46b4o36b4o$49bo$49bo50b3o38b3o$46bobo51bo2bo37bo2bo$
100bo40bo$100bo40bo$101bobo38bobo!


Triller
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Re: triller's p30 thread

Postby Extrementhusiast » November 11th, 2009, 4:50 pm

Looking for p30 sequence 11111110100010011010 and 11101100100110001000.
I Like My Heisenburps! (and others)
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Re: triller's p30 thread

Postby calcyman » November 12th, 2009, 12:02 pm

I'll give you the first one, and leave the construction of the second sequence as an exercise to the reader:

x = 224, y = 224, rule = B3/S23
bo$bbo$3o13$16bo$17bo$15b3o6$24bo$22bobo$23boo20$46bo$47bo$45b3o28$76b
o$77bo$75b3o13$91bo$92bo$90b3o6$99bo$97bobo$98boo5$106bo$107bo$105b3o
6$114bo$112bobo$113boo5$121bo$122bo$120b3o4$188bo$186b3o$129bo49boo4bo
$127bobo49bo5boo$128boo42bo4bobo$171b4ob3o$154boo14booboboo$146bo7bobb
o11b3obobbo3boo$145bo3boo7bo11boobobo5boo$136bo8bo5bo6bo12b4o5bo$137bo
8b5o7bo7bo5bo$135b3o16bobbo9bo$154boo9b3o$$173bo$173boo$172bobo$$137b
oo$137boo$$161b3o5boo$128boo33bo5boo$129bo32bo$129bobo$130boo3$154boo$
153bobo$130bo24bo$130b3o$133bo82boo$132boo24boo55bobbo$133b3o22bo56bo$
134bobo22b3o53bo$133bo3bo8b3o12bo53bobo$133b5o10bo66bobo$132boo3boo8bo
68bo$133b5o$134b3o12boo$135bo13boo62boo3boo$213bo5bo$139boo$138bobo73b
o3bo$140bo74b3o7$136b3o74bo$135bo3bo73bobo$213boo$134bo5bo$134boo3boo
62boo13bo$203boo12b3o$216b5o$137bo68bo8boo3boo$136bobo66bo10b5o$136bob
o66b3o8bo3bo$138bo78bobo$138bo79b3o$135bobbo81boo$136boo82bo$221b3o$
198bo24bo$198bobo$198boo5$191bo$183boo5bo$183boo5b3o5$179bobo$179boo$
180bo$$186b3o9boo$186bo9bobbo$181bo5bo7bo7b5o$173bo5b4o12bo6bo5bo$171b
oo5boboboo11bo7boo3bo$172boo3bobbob3o11bobbo7bo$177booboboo14boo$175b
3ob4o$174bobo4bo$167boo5bo$168bo4boo$165b3o$165bo!


The memory loop was created by PM 2Ring based on Dieter Leithner's block reaction.
What do you do with ill crystallographers? Take them to the mono-clinic!
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Construction Arm in Periodic Logic

Postby triller » April 10th, 2011, 3:42 pm

Construction Arm in Periodic Logic
It's hard to believe it's been a year and a half since I posted anything significant. Lost in a creativity frenzy I guess.
Here's a Constructioin Arm which uses periodic components. The paradigm is that of a functionally similar device in spartan logic.
Individual instructions are delivered in 8 bits at p30 (p240 overall per byte).
Instructions are as follows:
00h = pull elbow
01h = push elbow
02h = white glider/pull
04h = black glider/pull
08h = Stop/pull
Note that the hybrid 09h is also possible.
Here, I consider the black glider the one that reflects at 90 deg. off of the boat (don't know if that's the standard).
At start, output of the device is blocked by a latch. The first non-zero instruction opens the latch; That instruction is executed.
When a stop is received, the latch is again set, blocking further output, but not before an extraneous pull is delivered. The hybrid 09h = Halt instruction is the same except an extra push is delivered vice the pull.
Instructions are read in via a Mr.Phelps Tape Reader described above in this thread. Here, I've modified the reader to incorporate a p30 LWSS back rake (is that something new?) vice the original standing p30 LWSS gun. While somewhat more populous initially, for extremely long construction tapes, this arrangement doesn't suffer the added population of a long string of LWSSs as with the standing gun model. I've built a more concise version of the LW back rake, but shed termination isn't workable.

x = 1025, y = 16890, rule = B3/S23
345b2o$330b2o13b2o$330b2o$354b2o$346b2o6b2o$334b2o10b2o$334b2o
2$345b2o$330b2o13b2o14b2o$330b2o29b2o$354b2o$346b2o6b2o$334b2o
10b2o13b2o$334b2o25b2o2$345b2o$330b2o13b2o14b2o$330b2o29b2o$354b
2o$346b2o6b2o$334b2o10b2o$334b2o$363bo$338bo24bo5b2o3b2o$338b
o5b2o3b2o12bo5b2o3b2o4b2o$338bo5b2o3b2o4b2o23b2o$355b2o$383b2o
$358b2o23b2o$358b2o2$373b2o$348b2o23b2o$348b2o30$304b2o8b2o$304b
2o8b2o2$309b2o$304b2o3b2o3b2o$304b2o8b2o2$309b2o$304b2o3b2o3b
2o$304b2o8b2o2$309b2o$304b2o3b2o3b2o$304b2o8b2o2$309b2o$309b2o
50$393b2o$393b2o4$388b3o7$391b2o14b2o$391b2o14b2o2$410b2o$410b
2o3$400b2o$400b2o50$422b2o$422b2o3$418bo$418bo$418bo6$420b2o14b
2o$420b2o14b2o2$439b2o$439b2o3$429b2o$429b2o$449b2o$449b2o3$445b
o$445bo$445bo6$447b2o14b2o$447b2o14b2o2$466b2o$466b2o3$456b2o
$456b2o36$121b2o$121b2o3$123b2o$123b2o4$106b2o9b3o$106b2o5$111b
2o$100b2o9b2o$100b2o2$97b2o$97b2o3$107b2o$107b2o26b2o$135b2o4$
139b3o3$476b2o$476b2o3$137b2o10b2o$137b2o10b2o320b3o3$144bo$144b
o6b2o$144bo6b2o9b2o$162b2o$474b2o14b2o$165b2o307b2o14b2o$165b
2o$493b2o$493b2o$155b2o$155b2o$483b2o$483b2o10$18b2o227b2o$18b
2o227b2o4$22b3o217b3o$191b2o$191b2o3$190b2o$74b2o114b2o$20b2o
52b2o103b2o64b2o$20b2o157b2o64b2o$198b2o10b2o$72b2o124b2o10b2o
$72b2o100bo$22b2o7b2o50b2o89bo6b2o51b2o7b2o$22b2o7b2o17b3o30b
2o89bo6b2o9b2o40b2o7b2o$26b2o164b2o20b3o22b2o$26b2o211b2o$35b
2o158b2o33b2o$35b2o44b2o5b3o104b2o15b2o16b2o$60b2o8b2o9b2o129b
2o$60b2o8b2o$185b2o$30b3o5b2o27b2o116b2o40b2o5b3o$38b2o9b2o7b
2o7b2o147b2o9b2o$49b2o7b2o156b2o2$52b2o23b2o134b2o$52b2o23b2o
134b2o3$42b2o179b2o$42b2o179b2o5$505b2o$505b2o3$501bo$501bo$501b
o$128b2o$128b2o4$503b2o14b2o$503b2o14b2o2$522b2o$522b2o3$512b
2o$512b2o$532b2o$532b2o3$528bo$528bo$528bo2$62b2o139b2o$62b2o
139b2o2$4b2o255b2o$4b2o255b2o267b2o14b2o$530b2o14b2o$b2o261b2o
$b2o261b2o283b2o$549b2o2$11b2o241b2o$11b2o241b2o283b2o$539b2o
68$559b2o$559b2o4$554b3o7$557b2o14b2o$557b2o14b2o2$576b2o$576b
2o3$566b2o$566b2o2$294b2o$294b2o47$588b2o$588b2o3$584bo$584bo
$584bo6$586b2o14b2o$586b2o14b2o2$605b2o$605b2o3$595b2o$294b2o
299b2o$294b2o319b2o$615b2o3$611bo$611bo$611bo6$613b2o14b2o$613b
2o14b2o2$632b2o$632b2o3$622b2o$622b2o55$294b2o$294b2o12$642b2o
$642b2o4$637b3o7$640b2o14b2o$640b2o14b2o2$659b2o$659b2o3$649b
2o$649b2o27$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o43$294b2o$294b2o299$294b2o$294b2o307$
294b2o$294b2o67$294b2o$294b2o51$294b2o$294b2o67$294b2o$294b2o
59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o43$294b2o$294b2o75$294b2o$294b2o59$294b2o$294b
2o43$294b2o$294b2o367$294b2o$294b2o67$294b2o$294b2o51$294b2o$
294b2o239$294b2o$294b2o179$294b2o$294b2o67$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o43$294b2o$294b2o119$
294b2o$294b2o487$294b2o$294b2o59$294b2o$294b2o67$294b2o$294b2o
43$294b2o$294b2o75$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o43$294b2o$294b
2o307$294b2o$294b2o67$294b2o$294b2o59$294b2o$294b2o51$294b2o$
294b2o359$294b2o$294b2o67$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o51$294b2o$294b2o67$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o43$294b
2o$294b2o247$294b2o$294b2o779$294b2o$294b2o67$294b2o$294b2o59$
294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o
59$294b2o$294b2o51$294b2o$294b2o67$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o43$294b2o$294b2o75$294b2o$294b2o43$294b2o$294b2o547$294b2o$
294b2o59$294b2o$294b2o67$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o43$294b2o$294b2o75$294b2o$294b2o43$294b2o$294b2o75$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o43$294b2o$294b2o75$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o43$294b2o$294b2o667$294b2o$294b2o67$
294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o51$294b2o$294b2o
67$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o43$294b2o$294b2o75$294b2o$294b2o59$294b2o$294b
2o43$294b2o$294b2o75$294b2o$294b2o43$294b2o$294b2o247$294b2o$
294b2o67$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o51$294b2o$294b2o67$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o59$294b
2o$294b2o43$294b2o$294b2o307$294b2o$294b2o67$294b2o$294b2o59$
294b2o$294b2o59$294b2o$294b2o59$294b2o$294b2o43$294b2o$294b2o
479$294b2o$294b2o75$294b2o$294b2o59$294b2o$294b2o59$294b2o$294b
2o59$294b2o$294b2o14$342bo13bo$341b3o11b3o$340b2obo5bo4b2obo$
340b3o5b3o3b3o$341b2o5bob2o3b2o4$351bo$341b3o5b3o$341bo2bo5bo
$341bo5bo2bo$341bo5b3o$342bobo4$335bo5bo16bo$334b3o3b3o14b3o$
333b2obo3bob2o13bob2o$333b3o5b3o14b3o$334b2o5b2o15b2o2$338bo14b
obo$337b3o14b2o$336bo3bo10b3o3$336b2ob2o$338bo$348b2o$347b2o18b
o13bo$336bo3bo8bo3bo12b3o11b3o$335bobobobo10b3o10b2obo5bo4b2o
bo$336b5o10b2obo10b3o5b3o3b3o$337b3o11b3o12b2o4bo2b2o3b2o$338b
o4b2ob2o3b3o18bo3bo$342b3ob2o3b3o16bo3bobo$335b2o3b2obo2b2o4b
2o$334bo2bo2b2o2b2o25b2ob2o$334bo2bo4bobo21b3o4bo$335b2o29bo2b
o$340b2o2bo21bo$338b2o4bo21bo$337bo2bo3bo22bobo$294b2o44bob3o
$294b2o39b2ob3ob2o$340b3o33b2o$341bo18bo5bo9b2o5bo$359b3o3b3o
6b3o5b3o$358b2obo3bob2o4b3o6bob2o$358b3o5b3o3bob3o6b3o$359b2o
5b2o8b2o5b2o$376b3o$363bo12b2o$362b3o11bo2$362bobo$363bo2$330b
o43b2o$328b2o43b2o$329b2o29b3ob3o8bo$362bobo13bo$377b3o$369bo
bo4b2obo$362b3o2bo3bo4b3o43b3o11b3o$360bo5b2obobo4b3o42bo2bo10b
o2bo$358b2ob2o13b3o45bo4b3o6bo$365bob2o8b2o45bo4bo2bo5bo$358b
2o5bobo53bobo5bob2o2bobo2$363b3o3bo$369bo$366bo2bo53bo8bo$360b
3o3bo27bo13bo13b3o5bobo$366b3o24b3o11b3o11b2obo$393bob2o4bo5b
ob2o10b3o4bo2bo$394b3o3b3o5b3o11b2o4b3o$394b2o3b2o2bo4b2o19bo
$401b3o$415bo5bo$414b3o3b3o$413b2obo3bob2o14b3o$393b3o6bo10b3o
5b3o14bo2bo$392bo2bo6bo11b2o5b2o15bo$395bo6bo35bo$395bo3bobo16b
o20bobo$356bo35bobo4bobo15b3o$354b2o43b3o14bo3bo15bo$355b2o59b
o3bo15bo$385b3o3b3o39b3o$384bo2bo3bo2bo15bo5bo3bo12bo$387bo3b
o17b3o4bo3bo$387bo3bo16b2obo4b2ob2o$384bobo5bobo13b3o6bobo$409b
2o7bo9b3o$388b3o37bo$388b3o38bo$388b3o$405bobo$404b3o16b3o$388b
3o13bo18bo$388b3o33bo2$294b2o19bo84bo18b2o$294b2o17b2o72bo3bo
7b2o19bo$314b2o70bo5bo6bobo16bo5b3o$386bo5bo26bo4bo2bo$306b3o
115bo$306bo2bo85bo28bo3bo$306bo81bobo3b2o28bo$306bo82bo4bobo28b
obo$307bobo2$390bo58b3o11b3o$389b2o5bo11b3o37bo2bo10bo2bo$300b
3o86bobo3b3o10bo42bo4b3o6bo$300bo2bo90b2obo11bo41bo4bo2bo5bo$
300bo17bo75b3o51bobo4bo3bo2bobo$300bo3bo12b3o74b3o58bobob2o$300b
o3bo11b2obo75b2o59b2ob2o$300bo15b3o138b3o$301bobo12b3o131bo$316b
3o130b3o$317b2o129b2obo6bo$448b3o6b2o$449b2o7bo$455bo$453b4ob
o$375bo66bo5bo5bo2bo$374b2o17b3o45b3o3b3o5b3o$374bobo16bo46b2o
bo3bob2o14b3o$341bo52bo45b3o5b3o14bo2bo$339b2o100b2o5b2o15bo$
340b2o123bo$445bo20bobo$311bo132b3o$312bo$310b3o131bobo$445bo
$459b3o$459bo$460bo$442b3ob3o$360bo83bobo$359b2o17b3o73b3o$359b
obo16bo75bo$379bo64b3o8bo3$449b3o$449bo$450bo3$446b2o3b3o$446b
2o3bo2bo$451bo$451bo3bo$345bo105bo53b3o11b3o$344b2o17b3o86bob
o50bo2bo10bo2bo$344bobo16bo141bo6b3o4bo$364bo140bo5bo2bo4bo$506b
obo2b2obo5bobo$294b2o$294b2o138b3o$434bo$435bo70bo5bo$477bo13b
o13b3o4bo$476b3o11b3o12bob2o$475b2obo5bo4b2obo13b3o$475b3o5b3o
3b3o14b2o3bo$476b2o4bo2b2o3b2o23b2o$482b3o30b2o$498bo5bo$348b
3o146b3o3b3o$348bo148bob2ob2obo6bo8b3o$349bo126b3o19b3ob3o7bo
bo5bo2bo$324b2o4b2o4b3o137bo2bo18b2o3b2o7bob2o7bo$331bo3bo2bo
137bo35bobo8bo$324b2obo10bo80b3o54bo24bo10b2o6bobo$325bo2bo5b
o3bo80bo57bobo20bobo$338bo81bo65b2o11bo3bo$325b3o7bobo148b2o13b
o$468b3o3b3o$468bo2bobo2bo16bo$468bo7bo7bo7b3o19b2o$468bo7bo5b
2ob2o5bob2o2b3ob3o9bobo$469bobobobo6b2ob2o6b3o18bo$334bo147b2o
b2o6b2o4bo3bo$333b3o13b3o120bo10b2o15b3o$332b2obo12bo2bo119b3o
35b2o$332b3o16bo118b2ob2o34bobo$332b3o12bo3bo119b3o35bo$332b3o
12bo3bo119b3o$333b2o16bo52b3o64b3o$348bobo53bo66bobo11b2o17b2o
$405bo65bobo10b2o18bobo$472bo13bo17bo2$507b3o$480b2o24bo2bo$479b
2o28bo$481bo23bo3bo$509bo$339bobo164bobo$339b2o134b2o17b2o$340b
o133b2o18bobo$476bo17bo37b3o11b3o$479bo52bo2bo10bo2bo$389b3o86b
3o51bo6b3o4bo$389bo88bob2o50bo5bo2bo4bo$390bo88b3o51bobo2bo3b
o4bobo$479b3o55b2obobo$475bo3b2o56b2ob2o$475bo62b3o$533bo$532b
3o$532bob2o$533b3o$533b2o$460b2o17b2o$459b2o18bobo$461bo17bo45b
o5bo10b2o$294b2o228b3o3b3o9b2o$294b2o78b3o147bob2ob2obo15b3o$
374bo150b3ob3o7b3o5bo2bo$375bo149b2o3b2o6bo3bo7bo$538bo4bo6bo
$528bo14bo3bobo$527bobo8bo4bo$526bo3bo11bo$527bobo9bobo$527b3o
3$445b2o17b2o74b2o$444b2o18bobo59b2ob2o9bobo$326bobo117bo17bo
61b2ob2o9bo$325bo25b3o172b2ob2o$325bo24bo2bo5b3o166bo$325bo2b
o24bo5bo175b2o$325b3o21bo3bo6bo166b3o5bobo$353bo181bo$350bobo
2$530b2o$530bobo$530bo$534b3o$324bobo22bo183bo2bo$324b2o22b3o
13b3o63b2o17b2o85bo$325bo21b2obo12bo2bo62b2o18bobo80bo3bo$347b
3o16bo64bo17bo86bo51b3o11b3o$347b3o12bo3bo166bobo51bo2bo10bo2b
o$347b3o12bo3bo223bo4b3o6bo$348b2o16bo153b2o68bo4bo2bo5bo$363b
obo154bobo64bobo5bob2o2bobo$520bo3$589bo8bo$560bo13bo13b3o5bo
bo$559b3o11b3o11b2obo$559bob2o4bo5bob2o10b3o4bo2bo$560b3o3b3o
5b3o11b2o4b3o$415b2o17b2o124b2o3b2o2bo4b2o19bo$414b2o18bobo130b
3o$416bo17bo146bo5bo$580b3o3b3o$579b2obo3bob2o14b3o$505b2o52b
3o6bo10b3o5b3o14bo2bo$505bobo50bo2bo6bo11b2o5b2o15bo$505bo55b
o6bo35bo$561bo3bobo16bo20bobo$558bobo4bobo15b3o$565b3o34bo$583b
obo16bo$350bobo198b3o3b3o24bo14b3o$350b2o198bo2bo3bo2bo15bo22b
o$351bo201bo3bo17b3o$400b2o17b2o132bo3bo16b2obo$399b2o18bobo128b
obo5bobo13b3o4b3ob3o$401bo17bo155b2o6bobo8b3o$294b2o258b3o37b
o$294b2o10b3o245b3o38bo$305bo2bo181b2o61bobobo25b3o$308bo181b
obo78bobo$308bo181bo79b3o16b3o$305bobo262bo18bo$552b2o3b2o31b
o$553b2ob2o$553b2ob2o8bo$300b3o7b2o243bo9b2o18bo$299bo2bo6bo2b
2o251bobo17bo4b3o$302bo6b2ob2o4bo271bo2bo$298bo3bo7b3o4b3o65b
2o17b2o184bo$298bo3bo14bob2o63b2o18bobo154bo28bo3bo$302bo15b3o
5bobo57bo17bo155b2o17b3o8bo$299bobo16b3o4bo234bobo16bo11bobo$
318b3o4bo254bo$318b2o5bo2bo146b2o$325b3o147bobo78b2o57b3o11b3o
$475bo81bo4bo51bo2bo10bo2bo$556bo4b3o53bo4b3o6bo$560b2obo53bo
4bo2bo5bo$560b3o51bobo4bo3bo2bobo$560b3o58bobob2o$561b2o59b2o
b2o$623b3o$616bo$370b2o17b2o224b3o$369b2o18bobo154bo67b2obo6b
o$371bo17bo155b2o17b3o47b3o6b2o$545bobo16bo50b2o7bo$565bo55bo
$460b2o157b4obo$460bobo145bo5bo5bo2bo$460bo146b3o3b3o5b3o$606b
2obo3bob2o14b3o$606b3o5b3o14bo2bo$607b2o5b2o15bo$631bo$335bob
o273bo20bobo$335b2o273b3o$336bo272bo3bo$355b2o17b2o$316bo37b2o
18bobo154bo$314bobo39bo17bo155b2o17b3o57b2ob2o11b3o$315b2o213b
obo16bo61bo13bo$550bo75bo$445b2o$445bobo161bo3bo$445bo162bobo
bobo5b3o$609b5o6bo$609b2ob2o7bo$610bobo$610b3o$615b3o$615bo$616b
o$340b2o17b2o$339b2o18bobo154bo$341bo17bo155b2o17b3o80b3o$70b
o13bo209b2o219bobo16bo82bo2bo$69b3o11b3o13b3o11b3o178b2o239bo
81bo$68b2obo5bo4b2obo12bo2bo10bo2bo314b2o185bo3bo$68b3o5b3o3b
3o16bo4b3o6bo314bobo184bo$69b2o4bo2b2o3b2o16bo4bo2bo5bo314bo174b
3o10bobo$75b3o20bobo4bo3bo2bobo490bo$105b4o497bo$36bo13bo55bo
$35b3o11b3o$34b2obo5bo4b2obo24bo6b3o28bo$34b3o5b3o3b3o25bo6bo
2bo26b3o$35b2o4bo2b2o3b2o25bo6bo21b3o4b2obo220b3o$41bo3bo31bo
bo3bo22b2o4b3o221bo2bo4b2o297bo13bo$39bo3bobo31bobo4bobo19b2o
5b2o221bo7bobo154bo140b3o11b3o$77b3o26b2ob2o215bobo7bo3bo3bo155b
2o17b3o119b2obo5bo4b2obo$40b2ob2o62bobo215bo10bo163bobo16bo121b
3o5b3o3b3o$35b3o4bo42b3o3b3o14bo216bo11bobo180bo121b2o4bo2b2o
3b2o$35bo2bo29bo15bo2bo3bo2bo230bo2bo86b2o231b3o$35bo31b3o17b
o3bo5b3o14b3o3b3o202b3o87bobo$35bo31bob2o16bo3bo5bo2bo13bo2bo
bo2bo292bo174b3o$36bobo29b3o13bobo5bobo2bo16bo7bo467bo$68b2o27b
o16bo7bo468bo50b3o$88b3o7bobo14bobobobo212bo307bo2bo$27b3o3b3o
9b2o41b3o242b3o13b3o290bo$27bo2bobo2bo9b2o5bo35bobo27bo214bob
2o12bo2bo289bo$27bo7bo7b3o5b3o17bobo15bo27b3o214b3o12bo293bob
o$27bo7bo6b3o6bob2o17b3o14bo13b2o11b2ob2o213b3o12bo3bo298b2o$
28bobobobo6bob3o6b3o19bo27bobo11b2ob2o213b3o12bo3bo298b2o$45b
2o5b2o50bo12bobo214b2o13bo136bo147b3o3b3o$31bo13b3o39bo3bo26b
o205bobo23bobo132b2o17b3o127bo2bobo2bo16bo$30b3o12b2o31bo8b2o
b2o235bo157bobo16bo129bo7bo7bo7b3o$29b2ob2o11bo32b2o8bobo17b2o
217bo177bo128bo7bo5b2ob2o5bob2o$30b3o44bobo27bobo6b2ob2o203bo
2bo72b2o233bobobobo6b2ob2o6b3o$30b3o56bo12b3o4bo5bo5bo203b3o72b
obo245b2ob2o6b2o$30b3o56bo11bo2bo11bo3bo279bo174b3o60bo10b2o$
30bobo50bo5bo14bo12b3o455bo61b3o$30bobo10b2o38b2o15bo3bo8b2o2b
obo456bo60b3o$31bo10b2o38bobo15bo3bo7bobo3bo$44bo59bo9bo3bo$101b
obo$636bo3bo10b2o$38b2o42bo553bo3bo9b2o$37b2o42b3o551bobobobo
10bo$39bo41bob2o386bo165b3o$82b3o385b2o17b3o145b3o$32bo49b3o8b
o376bobo16bo148bo7b2o$24bo7b3o47b2o9b2o395bo154b2o$23b3o6b2o58b
obo290b2o260bo$22b2obo8bo3bo346bobo$22b3o12b3o345bo174b3o$22b
3o4bo7bob2o519bo80b2o$23b2o2b2obo7b3o295bo224bo78b2o$27b2obo7b
3o107b3o11b3o169b2o306bo$29bo8b2o107bo2bo10bo2bo170b2o308bo$150b
o4b3o6bo479b3o$150bo4bo2bo5bo479bob2o$123bo23bobo4bo3bo2bobo481b
3o$122bo31b4o487b3o$19bo14b3o85bo32bo300bo188b2o$18b3o12bo2bo
418b2o17b3o$18bob2o14bo71bo40bo144b2o159bobo16bo156b2o$19b3o10b
o3bo71b2o38b3o143b2o179bo154b2o$19b3o10bo3bo70bobo37b2obo219b
2o260bo$19b3o14bo110b3o220bobo$19b2o12bobo112b2o220bo174b3o$545b
o$158b2o386bo$141bo5bo10b2o$4bo13bo121b3o3b3o$3b3o11b3o119b2o
bo3bob2o14b3o$3bob2o4bo5bob2o118b3o5b3o5b3o6bo2bo$4b3o3b3o5b3o
119b2o5b2o5bo3bo5bo$4b2o3b2o2bo4b2o133bo5bo4bo186b3o$9bo3bo130b
o13bo6bobo183bo2bo86bo$9bob2o130b3o8b4o168bobo22bo88b2o17b3o$
9b2o112bo18bo3bo178bo25bo3bo84bobo16bo156b2o$123b2o200bo25bo108b
o154b2o$17b3o102bobo200bo2bo23bo3b2o259bo$10bo5bo2bo113bo8b2o
b2o178b3o30bo$9bobo7bo111bobo10bo209b2o2bo171b3o$12bo6bo112b2o
22b3o197b2o172bo$9bo6bobo137bo374bo$13b2o127bo3bo10bo$10b2ob2o
126bobobobo201bo$12bo6b3o3b3o114b5o201b3o13b3o$2bo16bo2bobo2b
o114b2ob2o4b3o194bob2o12bo2bo$b3o15bo7bo28bo13bo72bobo5bo197b
3o12bo$2obo15bo7bo27b3o11b3o71b3o6bo196b3o12bo3bo$3o17bobobob
o27b2obo5bo4b2obo277b3o12bo3bo57bo$b2o51b3o5b3o3b3o253bobo22b
2o13bo60b2o17b3o$23bo31b2o4bo2b2o3b2o67bo7b3o178bo37bobo57bob
o16bo156b2o$22b3o36b2ob2o72b2o6bo180bo117bo154b2o$22b3o35b3o2b
o71bobo7bo176bo2bo274bo$61b2obo85b3o172b3o$7b2o53bo87bo2bo361b
3o$8b2o45b3o4bo3bo74b3o6bo364bo$7bo13bo3bo11bo17bo2bo3bo78bo8b
o3bo166bo194bo$21bo3bo12bo16bo6bo79bo7bo168b2o$20bobobobo9b3o
16bo6b2obo85bobo166b2o$12b2o8b3o31bobo6b2o$13b2o7b3o$12bo10bo
36b2o$47b3o3b3o6bo$47bo2bobo2bo8bo7bo338bo$17b2o28bo7bo8bo6b3o
336b2o17b3o$18b2o27bo7bo5bobo7bob2o335bobo16bo156b2o$17bo30bo
bobobo7bo9b3o355bo154b2o$72b2o513bo387b2o$51bo923b2o$16bo4b2o
27b3o447b3o$15b3o3b2o26b2ob2o446bo$14b2obo31b2ob2o447bo$14b3o
33bobo68bo13bo$14b3o34bo13b2o53b3o11b3o$15b2o47b2o54bob2o4bo5b
ob2o$66bo54b3o3b3o5b3o$49b2ob2o67b2o3b2o2bo4b2o$48bo5bo73b3o$
49bo3bo6b2o244b3o87bo$32b2o16b3o6b2o245bo2bo85b2o17b3o$33b2o15b
obo8bo232b2o10bo88bobo16bo156b2o$32bo18bo82b3o157b2o10bo108bo
154b2o$51bo81bo2bo170bobo262bo$55b2o79bo11bo$54b2o80bo9bobo198b
o137b3o$56bo76bobo11b2o196b2o138bo$125b2o173b3o43b2o138bo$58b
o66b2o173bo2bo$57b3o76b3o3b3o155bo17bo$52b2o3bob2o58bo16bo2bo
bo2bo155bo3bo12b3o$52b3o3b3o57b3o7bo7bo7bo155bo3bo6bo4b2obo$58b
3o56b2obo5b2ob2o5bo7bo155bo9b3o3b3o$58b2o57b3o6b2ob2o6bobobob
o157bobo5bob2o3b3o$118b2o6b2ob2o21bo155b3o2b2ob3o62bo$128b2o10b
o12bo155bo2b3o2b2o7bobo51b2o17b3o$139b3o9b3o156bob3o10bo54bob
o16bo156b2o$138b2ob2o182bo74bo154b2o$51bo2bo83b2ob2o163b3o16b
o2bo228bo$55bo83bobo166bo16b3o$51bo3bo84bo75bo13bo77b3o159b3o
$52b4o70b2o87b3o11b3o77b2o159bo$127b2o86bob2o4bo5bob2o238bo$126b
o11b2ob2o73b3o3b3o5b3o$137bo5bo34b3o11b3o21b2o3b2o2bo4b2o$138b
o3bo35bo2bo10bo2bo27b3o$131b2o6b3o36bo6b3o4bo524b2o6b2o$132b2o
5bobo36bo5bo2bo4bo523bo2bo4bo2bo$131bo8bo38bobo2bo3bo4bobo519b
6o2b6o$140bo42b2o2bobo39b3o134bo340bo8bo2bo4bo2bo$185bo42bo2b
o92bobo38b2o17b3o320b3o7b2o6b2o$136b2o48b2obo41bo95bo37bobo16b
o156b2o167bo$137b2o40bo6b3o42bo95bo57bo154b2o167b2o$136bo41b3o
5b3o39bobo93bo2bo214bo177bo2bo$133bo44bob2o4b2o32b2o103b3o384b
o5b3o2b3o$132b3o44b3o4bobo31b2o233b3o253bobo3bo2bo2bo2bo$131b
2obo6b2o36b2o4bo2bo42b3o3b3o215bo251b2o2b2o5b2o4b2o297b2o$131b
3o8b2o44bo25bo16bo2bobo2bo216bo250b2o9b2o4b2o297b2o$131b3o7bo
42bo28b3o7bo7bo7bo454b2o43bo$132b2o37bo5bo5b2o2bo24b2obo5b2ob
2o5bo7bo454b2o41b3o$170b3o3b3o4b2o2bo24b3o6b2ob2o6bobobobo497b
o$170bob2ob2obo5b3o7b3o16b2o6b2ob2o510b2o$171b3ob3o6b3o6bo2bo
26b2o10bo458bo$171b2o3b2o18bo37b3o447b2o7b3o47b2o$196bo36b2ob
2o113bo332b2o6bo3bo37bo8b2o$174bo18bobo38b3o113b2o17b3o322bo39b
o$173bobo58b3o113bobo16bo156b2o163bo5bo35bobo8bo$172bo3bo57b3o
133bo154b2o164bo5bo34b2ob2o6bobo$81bo2bo88bobo45b2o11bobo290b
o146b2o16bo3bo34bo5bo5bobo7b2o$85bo77bo10bo47b2o10bobo437b2o17b
3o38bo9bo8b2o$81bo3bo75bobo10bo13b2o31bo13bo96bo107b3o241bo46b
2o3b2o$82b4o70b2o4b2o9bobo12bobo139b2o108bo242b3o$157b2o14bob
o12bo142b2o108bo241b3o55b2obob2o$156bo17bo51b2o436b2o29bobo34b
4o5bo5bo$227b2o91bo343b2o15b2o3b2o7bobo34bo2b2o5bo3bo$183b2o41b
o94bo359b2o3b2o8bo36bob2o6b3o$171b2o3b2o5bobo133b3o$183bo480b
o69b2o$231b2o421b2o7b3o20b2o47bo79b2o$167bo64b2o8bo93bo317b2o
6bo3bo4b2o3b2o8bobo7bo118b2o$168bo5bo3b2o51bo9b3o91b2o17b3o307b
o23b2o5b3o54b5o$166b3o5bo3bobo47bo12bob2o49b2o39bobo16bo156b2o
148bo5bo4bo3bo10b2o6b3o31b2obob2o15bob3obo$178bo48b3o12b3o49b
2o59bo154b2o149bo5bo5b3o11b2o40bo5bo8b2o6bo3bo$226b2obo12b3o267b
o131b2o16bo3bo6b3o7b3o7b2o3b2o30bo3bo9bobo6b3o$226b3o13b2o400b
2o17b3o27b2o3b2o31b3o10bobo7bo$180b3o43b3o196b3o226bo$179bo2b
o44b2o3bo192bo227b3o12b2o6bo126bo$182bo49bo193bo226b3o13b2o4b
3o18bo105b3o$178bo3bo451b2o32bo5bo3bo4b2o3b2o5bobo54bo48bobob
o8b3o$182bo153b3o295b2o15b2o3b2o18bo20b2o41b5o7bo48bobobo7bo3b
o$179bobo153bo2bo312b2o3b2o15bo5bo4bo3bo8b2o40bob3obo5bobo5bo
42b3o7bo5bo$171bo58b3o14bo90bo334bo5bo5b3o8b3o41bo3bo5b2ob2o2b
obo43bo8bo5bo$169bobo58bo2bo12b3o85bo3bo295bo39bo3bo6b3o7bobo
34b2o7b3o5bo5bo2b2o55bo$170b2o58bo14b2obo89bo285b2o7b3o20b2o17b
3o17b2o35b2o8bo9bo60bo3bo$230bo3bo10b3o87bobo286b2o6bo3bo4b2o
3b2o2b2o3b2obo7bo82b2o3b2o47bo10b3o$230bo3bo10b3o78bobo11bobo
291bo14bo6bob2o5b3o134b3o10bo$230bo14b3o77bo14bo2bo152b2o133b
o5bo4bo3bo3bob2o3b2o6b3o133bobobo$231bobo12b2o77bo13bo3bo151b
2o134bo5bo5b3o6bo4b2o26b2o55b2o22bo34bobobo$111bo2bo210bo2bo11b
obo154bo134bo3bo6b3o7bo9b2o3b2o15b2o55b2o21bobo34b3o11b3o$115b
o209b3o13bo291b3o27b2o3b2o101b2o30bo12b3o$111bo3bo218bo75b3o211b
o124b2o14b3o3bobo41bo3bo$112b4o132bo13bo70b3o13b3o58bo212b3o20b
o103bo7bobo4bo8bo27bo6bobo$247b3o11b3o68b2obo12bo2bo59bo211b3o
19b3o18bo8b2o70b3o7bo2bo2b2o6bo2bo7b2o17bo7b2o3b2o3b2o$246b2o
bo5bo4b2obo68b3o16bo283bobo6bo3bo4b2o3b2o5bobo7b2o70bo8b2o5bo
bo8bo7b2o17b3o6bo$246b3o5b3o3b3o69b3o12bo3bo269b2o3b2o7bobo8b
o20b2o85b2o3bo3bo3bo3bobo$247b2o5bob2o3b2o69b3o12bo3bo269b2o3b
2o8bo6bo5bo4bo3bo8b2o87b2o5b3ob2o2b2o$333b2o16bo291bo5bo5b3o8b
3o81b2o5bo2bo3b2o$348bobo293bo3bo6b3o7bobo81bobo6bobo$626b2o17b
3o17b2o55b2o25bo$257bo368bobo7bo85b2o24b2o$247b3o5b3o66bobo301b
2o5b3o$235bo11bo2bo5bo70bo153b2o144b2o6b3o$234bo12bo5bo2bo70b
o152b2o145b2o26b2o159b2o$234b3o10bo5b3o68bo2bo154bo140b3o7b2o
3b2o15b2o159b2o$178bo69bobo74b3o305b2o3b2o83bo86b2o$176bobo216b
3o325bo11bo73b3o$177b2o216bo326bobo10bo70bob2o$239b3o3b3o148b
o239bo8b2o74b2ob2o80bo2bo$239bo2bobo2bo16bo358b2o3b2o5bobo7b2o
73bo5bo8bo70bob2o$196bo13bo28bo7bo15b3o336b2o33b2o84bo10bobo72b
3o5b2o$195b3o11b3o27bo7bo15bob2o334bo3bo18bo3bo8b2o81b2o3b2o83b
2o5bobo$195bob2o4bo5bob2o27bobobobo17b3o333bo5bo7bo10b3o8b3o95b
3o82bo$196b3o3b3o5b3o51b2o324b2o8bo3bob2o4bobo10b3o7bobo160b3o
18b2o$196b2o3b2o2bo4b2o31bo346b2o8bo5bo3b2o23b2o84b4o72bo3bo$
182bo18bo3bo36b3o14bobo339bo3bo4b2o109bo2b2o8b3o59bo5bo$183bo
17bob2o37b3o15b2o32b2o30bobo273b2o6b2o16b2o92bob2o70b2obob2o$
181b3o17b2o54b3o34b2o29bo140b2o144bobo7b2o4bo68bo36bobo70bo$325b
o139b2o147bo7bobo4b3o65bo25b2o10bo70bobo$141bo2bo64b3o113bo2b
o138bo138bo17bo6bo64bobo25bo74bo4b2o3bo9b2o$145bo56bo5bo2bo29b
o3bo79b3o266b2o10b2o16b2o71bo37bo62bobo3b2o3bo9b2o$141bo3bo55b
obo7bo29bo3bo134b3o204b3o4b2o9bobo89bo37bo62bobo3b2o3bo$142b4o
58bo6bo28bobobobo7b2o124bo205b5o6b2o12b2o84bo20b2obob2o74bo6b
obo$201bo6bobo31b3o8b2o126bo203bobo3bo5b3o10bo3bo82bo20bo5bo5b
o76bo$205b2o35b3o10bo329b2o3bo6b2o10bo5bo3b2o75bobo20bo3bo7bo
$202b2ob2o36bo350b2o13bo3bob2o2b2o76bo22b3o6b3o$204bo6b3o3b3o
374b2o13bo5bo81bo$186bo7bo16bo2bobo2bo29b2o359bo3bo$184bobo6b
3o15bo7bo28b2o361b2o$185b2o5b2obo15bo7bo30bo398b2o$192b3o17bo
bobobo371bo7bo51bo29bo2b2o4b2o2bo116bo$193b2o393bobo5b4o50bob
o8b2o16bo3b3o2b3o3bo42bo71bobo$215bo28bo206b2o133b2o8b2o2bo2b
2o46b2o6bo2bo7bo9bo2b2o4b2o2bo42bob4o50b2o15b2obo$214b3o26bob
o4bo199b2o128b2o4b2o10b3o2b2o53bo7b2o3bo49b2o14b2o53bobo14b2o
b2o3b2o$213b2ob2o31b3o78bobo119bo127b2o4b2o11bo6b2o6b2o42bo6b
o5bo49b2o60b2o2b2o6bo13b2obo4b2o$213b2ob2o31bob2o77b2o256bobo
15b3o5b2o42bo7b5o60bo51b2obo2bo2bo2bo13bobo$199b2o13bobo33b3o
78bo33b3o222bo4bobo8b2o51bo2bo67bobo54b2o6bo8bo5bo$200b2o13bo
23b2o9b3o112bo230b2o5b2o56b2o55b2o9bo3b2o57bobo7bobo$199bo38b
2o10b2o114bo232bo3b2o52bo60b2o9bo3b2o57b2o9b2o$240bo356bobo55b
obo71bo3b2o$213b2ob2o369b2o9bo57b2o8b2o62bobo6bo72bobo$204b2o
6bo5bo132b3o232bo3bo76bo63bo5b2ob2o69bo2bo$205b2o6bo3bo132bo2b
o231bo5bo7bo67bobo7b2o21b2o99bo8b2o10b2o$204bo9b3o136bo221b2o
8bo3bob2o4bobo68b2o6bobo21bo35bo5bo57bobo5b2o3bo8b2o$214bobo132b
o3bo221b2o8bo5bo3b2o12b2o64b3o4b2o4bo9bobo87b2o10b2obo6b2o5b2o
$215bo137bo232bo3bo4b2o12b2o63b3o4bo2b2obobo8b2o18b2o16b2obob
2o45b2o10b2ob2o6bo2bo4bo$209b2o4bo110bobo21bobo234b2o6b2o78b3o
4b3obo3bo28bo80b2obo8bobo$210b2o8bo104bo110b2o159bobo76bobo4b
2obo3bo28bobo7b2o69bobo$209bo9bo105bo109b2o162bo77b2o6b2o3bo29b
2o7b2o4b4o62bo$171bo2bo44b3o103bo2bo108bo147b2o100bobo10bo25b
2o6b6o$175bo17bo131b3o257bo102bo9b3o24b3o5bo3b2obo$171bo3bo15b
obo14bo365b2o7bobo90b2o4b3o12bo18bo9b2o6bo5bo$172b4o16b2o13b3o
14b2o123bo224bobo6b2o31b2o58b2o6bo12b2o18b2o10b2o8bo$206b2obo
13b2o123b3o13b3o194bobo13bo38b2o65bo32b2o11b2o$206b3o16bo121b
2obo12bo2bo193bo2bo2b2o6bo2bo$206b3o138b3o16bo184b2o6b2o5bobo
8bo116b3o$207b2o10b2o126b3o12bo3bo184b2o4b2o3bo3bo3bo3bobo117b
3o$220b2o125b3o12bo3bo192b2o5b3ob2o2b2o117bo3bo$219bo128b2o8b
2o6bo193bo2bo3b2o42bo63b2o$357bo5bobo195bobo45b3o40b2o20bobo15b
2o3b2o41b2o$197bo410bo44bo22bo64bo$198bo125bobo29bo251b2o6b3o
34bobo9bo75bobo5b2o$196b3o128bo26b2o2bo62b2o154bo37bo3bo34b2o
8b4o74b2o3bo3bo$327bo26b4o62b2o153bobo27bo8bo5bo42b2obobo6bob
o68bo5bo8b2o$324bo2bo94bo153b2o27bo8b2obob2o41b3obo2bo3bo3bo14b
3o50b2obo3bo8b2o$325b3o335b2obobo4bo22b2o48bo5bo$664b4o4bo4bo
18b2o49bo3bo$603b2o3b2o7bo47bo7bo23b2o50b2o88bo$575b2o6bo15b2o
3b5o7bobo54bo3bo6b2o9bobo139b3o$575b2o7bo14bo5b3o8bobo56bobo6b
obo8b2o139bo$581b2o5b2o7bobo6bo8b3o68bo149b2o$581b3o4b3o6b2o15b
2o70b2o$201bo372bo7bo7b2obo21bo74b2o3b2o214b6o$199bobo370bobo
15bo2bo18b3o75b2o3b2o213bo6bo$200b2o369bobo9b3o4b2obo18bo89bo
206bo8bo$570bo2bo8b2obo2b3o69bo31b3o8b2o205bo6bo$326bobo242bo
bo7bo3bo2b2o70b4o28b3o7b2o207b6o$325bo80b2o159b2o3bobo6bo2bo20b
o55b4o28bo$188b3o134bo79b2o159bobo5bo8b2o18b2o56bo2bo5b2o51b2o
109bo$188bo2bo123bobo7bo2bo78bo158bo37b2o49bo5b4o5b2o51bo109b
3o67b3o$188bo126b2o8b3o237b2o88bo4b4o51b2o3b2obo108b5o65bo3bo
$188bo3bo123bo343bo29b2o22bo3bo3bo52b2o23b2o29b2o3b2o$188bo502b
o6b2o13bo12b2o48bo22b3o30b5o64bo5bo$189bobo12bo483b3o7b2o13bo
3bo2bo4bobo48bobo8bo8bob2o32bo3bo64b2o3b2o$205bo399b2o3b2o76b
o12b2o5b2o3bo5bo7bo49b2o8bobo6bo2bo12b2o19bobo$203b3o390bobo8b
3o38b5o48b3o3bo6bo3bo69bobo5bob2o12b3o19bo$596b2o8bo3bo36bob3o
bo25b2o20b2o5b2o5b2o71bo2bo7b3o12b2obo8bo$306b3o268b2o18bo9bo
bo38bo3bo6bo19b2o10b2o5b2o88bobo9b2o12bo2bo6bobo$305bo2bo269b
o29bo40b3o7b2o29bobo5b2o87bobo24b2obo5bobo7b2o$308bo269bobo5b
2o62bo3b2o4b2o28bo96bo9bo14b3o7bo2bo6bo2bo70b2o$308bo270b2o5b
3o21b2o42b2o4b3o7b2o17b2o42b2o63b2o12b2o9bobo7b2o71bo$305bobo
280b2obo8bo9bo43b2o4b2o8b2o61bo63b2o25bobo67bo4bo7b3o$391b2o195b
o2bo6bobo10b3o45b2o17b3o43b2o5bobo82bo9bo60b2o3b2ob4ob2o7bo$390b
2o196b2obo5bobo13bo45bo18b3o42bobo5b2o81b2o70bo7bo4bo$392bo193b
3o7bo2bo42b3o6bo15b2o8bo3bo40bo15bo76b2o69b3o$208bo91b3o283b2o
9bobo42bo7b2o15b2o53bo2bo11b3o$206bobo90bo2bo295bobo8b2o32bo6b
obo23b2o3b2o8bo30bo13b2ob2o$207b2o93bo15bo281bo8bobo78bobo21b
2o7bobo9b3ob3o62bobo$298bo3bo14b3o291bo77bo3bo19bobo8b2o9b3ob
3o63b3o76b2obob2o$298bo3bo14bob2o290b2o76bo3bo19bo21b3ob3o63b
3o76bo5bo$302bo15b3o368bo3bo18b2o21b3ob3o65bobo75bo3bo$299bob
o16b3o347bo7b3o10bo3bo42b2ob2o66b2o77b3o$318b3o337b2o7b3o10b2o
7bo3bo43b3o52bo2bob2obo2bo4bo6bo2bob2obo2bo$318b2o254bo82b2o8b
3o10b2o7bo3bo44bo53b4ob2ob4o11b4ob2ob4o$574b3o38bo15b2o6bo19b
o21b2o7bobo99bo2bob2obo2bo11bo2bob2obo2bo$212bo364bo36bobo14b
2o6b3o23b2o3b2o7bobo9bo$213bo112bobo247b2o26b2o7bob2o25bo22b2o
3b2o7b2o$211b3o111bo15bobo32b2o225bobo6b2ob2o10b2o12b2o81b8o80b
o76b2o$325bo15b2o32b2o225bo6b3obob2o10b2o95bob4obo55bo25bo75b
o$325bo2bo13bo34bo201b2o12b2o7bo2bo2bo2bo2bobo16b2o30b2o7b2o3b
2o43b8o56b2o21b3o59bo2b2o4b2o2bo3b3o$325b3o265b2o7bo6b2o4bo38b
o9bobo7b2o3b2o106b2o83bo3b3o2b3o3bo4bo$310bo292bobo47bobo7b2o
21bo89bo96bo2b2o4b2o2bo$308bobo293b2o46bo3bo7b2o10b3o8b2o88b2o
$309b2o265b2o3b2o69bo3bo7b2o10b3o7b2o88b2o$576b2o3b2o33bobo10b
2o3b2o7b3o6bo3bo10b3o7bo$617b2o11b5o7bo3bo5bo3bo163bo$578b3o36b
o12b2ob2o6bo5bo4bo3bo161bobo$216bo361b3o49b2ob2o6bo5bo4bo3bo36b
3o11b2o110b2o48b3o$214bobo278b2o82bo51b3o10bo8bobo37b2obo11bo
19b2o138bo3bo$215b2o279bo145bo3bo7bo8b2o3b2o22bo3b2o10bobo5b2o
9bobo11b2o124bo5bo$496bobo7b2o94bo2bo4bo2bo29b3o31b2o14bo15b2o
5b3o10bo11bo125bo5bo$324bobo170b2o7b2o4bo87b3o2b6o2b3o8bo19bo
19bo3bo8b2o39b2obo11bo5bobo128bo$327bo33b2o140b2o6b5ob2o83bo2b
o4bo2bo11b2o12b2o24b3o18bo31bo2bo10b2o5b2o86bo40bo3bo$327bo32b
2o140b3o5bo2b2o4bo104b2o11bo2bo24b3o17b2o31b2obo9b2o95bo40bo$
324bo2bo34bo131bo8b2o5b2o8bo58b2o55bo7b2o28b2o8b2o4b2o24b3o11b
3o93b3o41bo2bo$325b3o166b3o9b2o4bo7bo58b2o55bo6bo2bo27b2o7b3o
4b2o24b2o13b2o3b2o135bo$497bo8b2o12bo105b2o8bo7b2o38b2o4b2o3b
o36b2o7bo130bo$496b2o15bo5bo7b2o97b2o9bo2bo44b2o7b3o36bo5b3o115b
o2bob2obo2bo4b3o$219bo292b2o3b2o8bobo109b2o24b2o19bo6bo3bo19b
2o19bo117b2o2bo4bo2b2o5bo$220bo290bobo15bo135b2o25bob3obo18b2o
19b2o117bo2bob2obo2bo$218b3o292bo15b2o162b5o154b3o$637b2o81b3o
129b3o$637bo84bo128bo3bo$496b2o3b2o132bobo83bo128bo5bo$496b2o
3b2o132b2o48bo165bo3bo$682b4o4bo161b3o$294b2o30bobo169b3o3b3o
167b2o5b4o5bo90b2o$294b2o29bo20b2o150b3o5bo167b2o5bo2bo50b3o44b
o$325bo19b2o152bo5bo175b4o17b2o9b2o19bo3bo43bobo8b2o$325bo2bo
18bo334b4o16bobo7bobo18bo5bo43b2o7bobo$223bo101b3o357bo19bo8b
o5bo13bo3bo52b3o$221bobo402b2o74bo2bo13bobo5bobo5b3o52b3o51b2o
$222b2o401bobo77bo13b2obo5b2o5b3o53b3o50bo$627bo67b2o5bobo14b
2ob2o4bo63bobo5b2o43b3o7b2o$500b3o191bobo5b2o15b2obo70b2o5bob
o44bo7bo$500b3o191bo24bobo3b2o75bo53b3o$499bo3bo189b2o25bo4bo
bo74b2o54bo$727bo5b3o$481b2o15b2o3b2o222b2o3b2ob2o3bo$481bo125b
2o9b3o111b2ob2o4b2o$227bo244bo6bobo117bo7bo2bo9bo111b5o3b2o$228b
o240b4o6b2o117bo3b2o7bo7bo5bo105b2o3b2o$226b3o97bo2bo130bo7b4o
126bo5bo6bo12b4o167bo39b2o$326b3obobo126bobo6bo2bo127b5o7bo11b
2obobo3b2o162b2o35bo4bo$327bob3o115b2o9bo3b2o4b4o135bo2bo11b3o
bo2bo2b2o161b2o35bo6bo$447b2o9bo3b2o5b4o134b2o14b2obobo119bo15b
2o18bo46bo8bo$325bo132bo3b2o8bo151b4o120bo15bo20b2o44bo8bo$323b
obo133bobo163bo121bobo3b2o7bobo19b2o45bo8bo$324b2o134bo39b2o229b
2o14b2o4bobo6b2o68bo6bo$469bobo28b2o230bo8bo5bo6b3o76bo4bo$470b
2o257b3o6b4o3bobo7b3o67b3o7b2o$470bo258bo7b4o3b2o8b3o$231bo505b
o2bo3b2obob2o2bobo69bobo$229bobo485b2o18b4o4bobob2o2b2o69b5o$
230b2o485b2o13b2o4b4o3bob2o74b2o3b2o$731bobo7bo81b2o3b2o$477b
o239bo13bo$471b2o5b2o236bobo11b2o$471b2o4b2o237bobo107bo$483b
o152bo80bo45b2o59b2o$482bobo151b3o90bo33b2o26b2o$472b2o7bob2o
10b2o142bo89bo29bo6b2o22bobo30bo$471bobo6b2ob2o10b2o141b2o74b
2obob2o7b3o28bo6b3o5b2o16bo$234bo235bo6b3obob2o229bo5bo45b2o6b
2o48bo2bo$235bo234bo2bo2bo2bo2bobo230bo3bo35b2o6b2o61b2o$233b
3o234bo6b2o4bo232b3o9b3o23bobo6b2o$463b2o6bobo255bo24bo$462bo
bo7b2o178b3o74bo23b2o$462bo178bo87bo$461b2o177b3o8bo3bo73bo$639b
5o7bo3bo72b3o$638b2o3b2o$652b3o64bo$720bo7b3o$718b3o8bo$238bo
401b3o9b3o74bo$236bobo401b3o$237b2o412bo3bo$639bo11bo3bo$638b
obo72b5o9b3o$485b2o150bo3bo10b3o57bob3obo8b2obob2o$485b2o151b
3o72bo3bo9b3o2bobo$636b2o3b2o4bo66b3o17bo$645bobo67bo9bob2o$646b
2o77bo$242bo242bo41b2o$243bo240bobo40b2o251b2o$241b3o239bo3bo
84bo142b2o62bobo$413b2o69b3o85b3o140b2o64bo$413b2o67b2o3b2o86b
o78bo68bo$497bo76b2o6b2o71bo64b4o5bo$496b3o84bo69b3o56b2o5b4o
4b2o2b2o$495b2ob2o67b2o14bobo9b2o61b2o52b2o5bo2bo$494b3ob3o66b
2o8bo6b2o8bo3bo40b2o17b2o59b4o$483bo10b3ob3o76bo15bo5bo4bo34b
2o79b4o$483bo10b3ob3o75bobo14bo3bob2o2bobo39bobo75bo$483bob3o
6b3ob3o26b3o45b2ob2o13bo5bo3bobo7b2o30bo2bo$246bo248b2ob2o26b
o3bo26b2o15bo5bo13bo3bo5bo8b2o33b2o80b2o3b2o$244bobo241bo7b3o
26bo5bo25b2o18bo11bo5b2o49bo3b2o78bo5bo$245b2o166b3o69bob2o8b
o28bo3bo43b2o3b2o6bobo58b2o62b2o$412bo3bo68b2o40b3o27bo30b2o48b
2o5bo2bo64bo17bo3bo$411bo5bo109b3o26bobo64b2o12bobo5bobo17bo47b
ob2o3b2o10b3o$294b2o116bo3bo139bobo20b3o32bo8b2o12bo19bo7b3o31b
o14bo3bo3bo$294b2o117b3o64b2o3b2o70bo21bob2o19b5o7bo21b2o18b3o
9bo30b3o21bo$413b3o64b2o3b2o78b5o11b2o18bob3obo5bobo8bo30b5o7b
2o33bo13bo2bo3bo$481b5o7bo70bob3obo9b2o14bo5bo3bo5b2ob2o6bobo
28bobobobo40b2o14bo5bo$482bobo9bo34b3o22b2obob2o4bo3bo8bobo16b
o5b3o5bo5bo5bobo28b2o3b2o57bo3bo42bo$411b2o18b2o59b3o29bo3b2o
b2o21bo5bo5b3o7b2o2bo14b3o6bo9bo9bo24bo70b2o42bobo$249bo162bo
16bo4bo47b3o37b2o4b2ob2o22bo3bo7bo43b2o3b2o30b4o111bob2o$250b
o158b3o16bo6bo87b2o3b5o23b3o3bo5b2o66b2o9b2obobo4bo104b2ob2o10b
2o$248b3o158bo17bo8bo90b2o3b2o28b2o4bobo50b2obob2o8b2o8b3obo2b
o2bobo104bob2o10b2o$427bo8bo124bobo4bobo31bo9b4o5bo5bo19b2obo
bo3bobo99b2o4bobo$427bo8bo132bo32bo9bo2b2o5bo3bo21b4o5bo46bo52b
obo5bo$428bo6bo66bo74b5o19bobo9bob2o6b3o23bo18b5o10bobo17b3o51b
o$429bo4bo48b2o17bo73bob3obo17b2ob2o62bob3obo10b2o16b5o49b2o$
431b2o50b2o17bo12bobo13b2o33b2obob2o4bo3bo17bo5bo8b2o52bo3bo11b
o16b2o3b2o$491b2o22b2o49bo5bo5b3o21bo12bo53b3o25b2o3b5o$422bo
67bobo23bo42bo7bo3bo7bo19b2o3b2o64bo26bo4bo3bo$421bobo56b2o7b
o6b2o61bo8b3o124bobo5bobo$405b2o13bo3bo55b2o7bo2bo2bo2bo30b2o
27bobo48b2obob2o38b2o39b2o7bo$253bo151bo14bo3bo64bo6b2o2b3o26b
2o26b2ob2o39bo7bo5bo8b2o28b2o75b2o$251bobo140b2o7bobo14bo3bo65b
obo7b3o20b2o31bo5bo15b2o21bo8bo3bo9bobo41bo61bobo$252b2o140bo
bo6b2o15bo3bo66b2o6bo3bo5b2o13bo34bo18b2o20bo10b3o10bobo41bo37b
o25bo$381bobo13bo22bo3bo73bo5bo5bo13bobo4bo9b2o13b2o3b2o94bo9b
obo5bo28b2ob2o$380bo2bo2b2o6bo2bo22bo3bo74bo3bo3b3o15b2o3bobo
7b4o112bo9b2ob2o2bobo23bo38bo$371b2o6b2o5bobo8bo23bobo76b3o4b
o21bob2o6bobobo2bobo53b2o52bo8bo5bo2b2o22bo4bo5bo28b4o$371b2o
4b2o3bo3bo3bo3bobo25bo105b2ob2o7b2ob2obo2bo18b2o32b2o64bo29b3o
38b4o$379b2o5b3ob2o2b2o133bob2o7b2obo5b2o17b2o50b5o40b2o3b2o31b
2obob2o29bo2bo5b2o$380bo2bo3b2o100bobo38bobo8b2o4bo3b2o66bob3o
bo26b2o3b2o80b4o5b2o$381bobo103bo3bo39bo7b3o7b2o10b2o57bo3bo30b
o73b2o7b4o$480b2o5bo53bo4bo2bo5b2o4bo50b2o7b3o28bo5bo23bo45bo
bo7bo$480b2o4bo4bo47bo6bobo6bobo4b3o47b2o8bo30b2ob2o23bobo44b
o$397bo89bo45b2o5b2o15bo6bo89bobo25b2o43b2o$395bobo89bo3bo41b
2o22b2o89b2o5bo9b2o15bo$396b2o91bobo156bo6bo10bo7bo7bo6b2o12b
2o$561bo60b2o22bobo14b3o8bobo5bo5bobo13bo$559b3o60b2o22b2o15b
o13b2o9bo12b3o$534b2o22bo118b2o8b2o12bo$395b2o6bo131b2o21b2o117b
2o$395b2o7bo129bo130b2o7bobo6bo$401b2o5b2o99b2o140bobo10bobo7b
o6b2ob2o$401b3o4b3o99bo140b2o11bo$394bo7bo7b2obo5b2o89bobo7bo
131bo3b3o4b2o15bo5bo$392bobo15bo2bo5b2o90b2o4b4o3bob2o127bo3b
o$391bobo9b3o4b2obo102b4o4bobob2o2b2o102b2o16bo5bo19b2obob2o$
390bo2bo8b2obo2b3o105bo2bo3b2obob2o2bobo100bobo16b2obob2o$391b
obo7bo3bo2b2o106b4o3b2o8b3o101bo$387b2o3bobo6bo2bo112b4o3b2o8b
3o17b5o86bo74b2o$386bobo5bo8b2o115bo12b3o17bob3obo83b2o12bo62b
3o$386bo145bobo6b2o11bo3bo85b2o10bobo51bobo9b2obo$385b2o145b2o
7bobo11b3o98bobo51bo6bo4bo2bo5b2o$399b2o142bo12bo55b2o26b2o15b
o22b2o34bo5b2obo5b2o$399bo2bo140b2o15bo2bob2obo2bo40b2o25bobo
39bo29bo4bo3b3o$403bo156b4ob2ob4o63bo3bo16b2o20b3o32b2o5b2o$403b
o156bo2bob2obo2bo61b3o2b2o16b2o20bo$403bo228bo$392b2o5bo2bo229b
2o74b2o3b2o$391bobo5b2o143bo186b2o$391bo152b2o163bo3bo17bo$390b
2o16bo130b2o4b2o64b3o7b2o87b3o6bo9bobo$407bobo125b2o2b2o4b3o62b
o3bo5bobo87b3o4b4o8b2o$406bo3bo124b2o2b2o4b2o75bo93bobob2o$294b
2o110bo3bo133b2o7bo55bo5bo99bo2bob3o$294b2o110bo3bo133bo8bo55b
2o3b2o100bobob2o$406bo3bo211b2o93b4o$406bo3bo142bo68bobo94bo$
406bo3bo141bobo59b2o6bo4b2o3b2o94b2o$407bobo204bobo12b3o96b2o
$408bo143b3o61bo11bo3bo$615b2o12bobo$612bo17bo$552b3o57bo2bo$
612bo14b3o$552bobo72b3o$553bo166bo8bo$611b2obob2o96b2o3b2o7b3o
$553bo160b2o3bobo5b5o$527bobo23bo57bo5bo7b2o3b2o94bobobobo$526b
o2bo4bo91b5o95b2o3b2o$516bo8b2o5b2o78b2ob2o10b3o$515bobo5b2o3b
o8b2o5b2o68bo13bo$515b2obo6b2o10b2o6bo180b2o$503b2o10b2ob2o6b
o2bo15bobo7bo159bo10b2o$503b2o10b2obo8bobo16b2o7b4o156bo9bo$515b
obo38b4o154bobo8b3o$516bo9bo29bo2bo53b2o100bo13bo$527bo28b4o53b
2o100bo9b5o$525b3o27b4o4b2o150bo11b2o$555bo7bobo61b2o86bo$565b
o61b2o85bobo$565b2o148bo8b2o3b2o$715bo9b5o$636bo88b2ob2o$534b
o101b3o86b2ob2o$532bobo104bo86b3o$533b2o103b2o$322bo354b2o$320b
2o353bo2bo$322b2o350bo7b5o$321bo352bo6bo5bo$540b2o13bo118bo7b
2o3bo39b2o$540bobo12b3o31bo75b3o7bo2bo7bo40b2o$327b3o212bo15b
o30b3o72b2ob2o8b2o$326bo3bo211b2o13bo34bo71b2ob2o$326bo3bo226b
o2bo30b2o56bo14b5o$327b3o231bo86b2o13b2o3b2o$541bo16bo3bo85bo
bo35b2o$532bo7bobo17bo125bo$532bo6bob2o14bo5bo115bo4bobo$532b
o5b2ob2o14bo5bo114bobo3b2o$327b3o209bob2o15bo3bo28b2obob2o80b
2obo$326bo3bo179b6o24bobo16b3o29bo5bo80b2ob2o$326bo3bo178bo6b
o24bo50bo3bo81b2obo$327b3o178bo8bo18b3o54b3o82bobo$509bo6bo19b
3o8b2o130bo$510b6o71b2o76bo17b2o$524bo37bo24bo77bo17b2o$524b2o
59bobo77bo$523bobo8b2o3b2o44b2o$535b5o6b2o3b2o9bo120b3o$498b2o
36b3o8b5o8bobo18b2o9bo78b2o10b3o$499bo37bo9b2ob2o9b2o19b2o7bo
79bobo$499bobo6bo7bo30b2ob2o29bo9b3o77bo$500b2o4bobo5b4o30b3o
$504b2o8b2o2bo2b2o158b2o3b2o$495bo8b2o11b2o2b2o32b2o3b2o69b2o
49b5o$495bobo6b2o7bo10b2o6b2o35bo61bobo49b3o$496bobo7bobo4bo10b
3o5b2o22bo3bo9bo23b5o27b2o6bo49bo$496bo2bo8bo4bo10b2o31b3o8b3o
13bo8bob3obo25bo2bo2bo2bo7b2o26bo7b3o$496bobo22b2o13b2o10b2o7b
3o24bobo7bo3bo26b3o6bo7b2o25bobo6bo$484b2o9bobo3b2o18b2o13b2o
10b2o34b2o9b3o25b3o5bobo45bo$483bobo9bo5bobo92bo25bobo6b2o$483b
o19bo51b2o65bo46b3o$482b2o19b2o51bo4bo10b2o5b2o40b2o46b3o$553b
3o4bobo9b2o4bobo89bo$553bo4b2o3bo14bo16b2o$558b2o3bo13b2o16b2o
84b3o$558b2o3bo106bo$555b2o3bobo106b3o9bobo$554bobo4bo107b3o8b
5o$554bo124b2o3b2o$553b2o124b2o3b2o$669bobo$670bo$571b5o106bo
$570bob3obo103b2o$571bo3bo$572b3o104bo$573bo$680bo2bo$575b2o36b
o68b2o$575bo36b2o$576b3o32b2o4b2o$578bo31b3o4b2o2b2o$611b2o4b
2o2b2o$601bo10b2o$600b3o10bo$565bo2bob2obo2bo23b3o$565b4ob2ob
4o$565bo2bob2obo2bo7b2o12b2o3b2o$584bobo11b2o3b2o16b2o$584bo36b
o$611bobo5bobo$545bobo63bo3bo3b2o$540bo4bo2bo66bo$541b2o5b2o61b
o4bo$536b2o8bo3b2o5bo48bo8bo$536b2o10b2o6bobo47bo4bo3bo$545bo
2bo6bo3bo51bobo$545bobo8b3o59b2o$554b2o3b2o38b3o16b2o$574b3o$
576bo$536b2o37bo$537bo80b3o$537bob2o3b2o61b2o9b3o$538bo3bo3bo
59b2o9bo3bo$547bo60bo7bo5bo$540bo2bo3bo69bo3bo$541bo5bo70b3o$
542bo3bo$544b2o$539b2o74bo$538bo2bo15b3o54b2o$538bo65b3o7bobo
$538bo66bo$538bobo11bo52bo$538bobo11b2o50b3o$539bo11bobo$604b
3o$604b3o$536b2o3b2o74bo$536bo5bo61b3o9b3o$605bo9b5o$537bo3bo
2b2o59bo8bobobobo$538b3o4b2o57b3o7b2o3b2o$544bo2$617bo$552b3o
61bobo$552bobo61bobo$552b3o62bo$541bo10b3o62b2o$539b2ob2o8b3o
62b2o$552b3o62b2o$538bo5bo7bobo$552b3o$538b2obob2o9$540b2o$540b
2o!

The eater recipes demonstrated are diagonal mirror image constructs by Paul Chapman. The construction of two eaters (with the initial bait spread) takes ~70K generations, with a final population for the constructor of about 6300 cells. I left an extra beehive as bait for a later tape iteration which will deliver all 8 possible eater orientations. I suspect that this device could be further optimized with a p30n edge shooting glider gun (anyone?), perhaps even reduced to p120 overall.
I harbor no delusions of this as a replicable device as it stands. I do hold some hope that complex periodic constructions are possible, and have been working on recipes for common periodic devices. Maybe some day ...

Enjoy
triller
triller
 
Posts: 52
Joined: September 3rd, 2009, 2:41 pm

Re: triller's p30 thread

Postby triller » August 3rd, 2011, 6:21 pm

Pulsar Pixel Raster Line Display in Periodic Logic

I built this mechanism over the course of around a year, all told. The kernal of the works came from the head-on collision of two LWSSs. A regular p120 LWSS stream moving right collides with a perforated p120 LWSS stream moving left. A leftward LWSS being present causes a collision; one absent will cause the next possible collision to occur 30 cells to the right. This is what I call the 'Draw Back', and is used in 3 different ways throughout the mechanism. Mark Niemic's one sided 3 glider pulsar synthesis sealed the deal. After a little experimentation I found a single glider/pulsar imploding reaction that erases both. This latter is viable at p30. LIF file zipped and attached below.

PulsarPixelDisplay2a.JPG
PulsarPixelDisplay2a.JPG (23.99 KiB) Viewed 18834 times


Shown above is a colorized screen shot of the mechanism. Proceeding counter clockwise from lower left are the following components:
There are two p1920n One-Shot Latches shown in Black (as are all p1920n one-shots). The lower of the two is the p5760 master clock, initially set. Above this is a p1920x18 one-shot to delay the erase process. Just to the right of the master clock is the p5760 Data Transfer Clock, shown in Yellow.
Next, in Orange, is the Increment/Decrement Register, an adaptation of David Buckingham's adder.
Just below the register, in Gray, is a p60 to p30 converter, which delivers the requisite 4 bits of data to the ondinal converter as LWSSs at p30.
Next, in Yellow, is the 4 bit Binary to Ordinal Converter. It incorporates a latch and gap 8 reaction from Paul Rendell's Turing Machine, and features a nifty 4on-4off gun from Dean Hickerson's collection.
Continuing rightward along the bottom, in Gray, are the Bit Map ROM cells, 64 bit adaptations of the memory cells in Rendell's Turing Machine, triggered by the ordinal.
At bottom right, in Blue, are the 8 Display Cells, again a 64 bit warped version of Paul Rendell's memory cell. Once loaded, these cells are triggered by MWSSs delivered by the print control logic. When triggered, 8 bits of data are scraped from the 'top' of each cell, erased within the cell, and the remaining 56 bits are transfered forward, so that at the end of 8 raster line print cycles, the cells are empty and ready for reload. Data is collected by a leftward moving p30 LWSS stream, and converted to positive logic upward at the left end. The 240 cell horizontal spacing of the cells is no accident. Given the right moving MWSS trigger, and left moving data, a 720 generation gap (360 cells @ c/2) exists between one 8 bit p30 data set and the next, the requisite amount to allow the p30 to p120 converter, shown in Gray above the data cells, to perform autonomously and deliver contiguous data @ p120.
The Raster Line Timing Structure, in Black throughout the remainder of the mechanism, consists of a number of varying heisenburps, reflectors, counters, and p1920n one-shots that allow a single signal to synchronize the activities of printing the raster lines, resetting the modules, retriggering further raster line printing, and lastly retriggering the p5760 master clock one-shot. All control signal paths are shown in Violet. Data paths are shown in Green, and Erase/Reset paths in Cyan.
Data leaving the p30>p120 converter perforates the upward LWSS stream of the Modulator, shown with a Red vertical axis and the Blue horizontal axis forming the 4th quadrant orientation of the device. Three p120 LWSS streams (one down, one up, and one leftward) converge in this fashion:
the up/down pair of LWSSs collide to form two gliders; one is eaten, and the 2nd reflects up right.
The up right glider deletes a LWSS from the leftward stream. If a data bit is present, an upward LWSS is absent, and the next possible up/down collision occurs 30 cells lower. This lowers the path of the next possible glider, and in so doing, allows TWO LWSSs to escape leftward at the output. The first of the pair is heisenburped backward and the resultant glider deletes the second LWSS. This arrangement is desired because, in the print carriage, a pixel not printed calls for a single LWSS absent to draw the head on collisions rightward, whereas a printed pixel calls for LWSSs present to create gliders for the pulsar synthesis AND LWSSs absent to create the drawback for the next pixel. Output of the modulator is collected by a downward LWSS stream of length to support all 64 possible printed pixels (i.e. a burst of 128 LWSSs). This results in an inverted data stream; the collecting Gun is shown in Red.
Left of this, in Green, are the two Steppers, triggered by the raster timing to produce output streams just in advance of arriving data from the modulator. The right stepper handles the two up right gliders in the pulsar synthesis, and the left the up left glider. This leading stepper burst, along with the Step Delay, in Green @ center, provide the necessary shifts in the overall data streams to accomodate successively lower raster lines. Finally, the data streams are followed by a burst of 16 bits @ p120 from the Post Stepper gun, also in Green to the right of the step delay. These bits ensure that the print carriage collisions arrive at the right end carriage stops regardless of which raster line is being printed. So then, the full data streams consist of Steppers + Modulated Data + Post Steppers. The two final streams arrive at the print carriage and are in inverse logic.
The Print Carriage, in Orange near top left, provides for the up left (bottom rail) and up right (top two rails) glider streams that react in Mark Niemic's pulsar pixel forming synthesis. Three pairs of opposed p120 LWSS guns provide for the reactions. Initially, the glider forming collisions occur at the left hand carriage return stop, with no gliders released. Data arrives at right in inverted logic such that a data bit present deletes a leftward moving LWSS causing the next possible collision point to draw back 30 cells rightward. A data bit absent leaves a LWSS to collide and produce a pair of gliders (one eaten) should the print position be in between the carriage return and end stops. So, then, raster lines are formed left to right, prepositioned by the stepping mechanisms for vertical, and create identical data sets and post steps for all three rails.
After eight raster line cycles are initiated, a LWSS is fired to set the master clock one shot, loading data for the next character line. Once these eight raster lines near completion, again the set pulse fires, setting the master, which then (by virtue of being divided by two) does the following:
1) starts a new load cycle,
2) increments/decrements the data register,
3) initiates an erase cycle.
The Erase Mechanism, at top left in Yellow, consists of a p30 MWSS gun and blocking stream, a p30n blocking stream at the right end with companion p480 gun, and 79 MWSS heisenburps. An arriving erase pulse releases a burst of 16 MWSSs through the burps, yielding adequate gliders to implode a fully displayed 64x16 pixel matrix. At right one of the MWSSs escapes the blocking stream, and is reflected up to reset the steppers for the next two character lines. Also, noteworthy is that after the data for each 16th raster line passes the step delay, the step delay is reset using a nifty LWSS/MWSS eater synthesis by Mark Niemic.

And that's pretty much it. The device, as delivered will load and print two character lines (the hexadecimal numeric character set), first in ascending order, will erase, and then repeat the process in descending order, and repeat the whole process ad nauseum. A complete two pass run of ascending and descending display takes just under a million generations.

Enjoy,
triller

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triller
 
Posts: 52
Joined: September 3rd, 2009, 2:41 pm

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