Very Low Expansion Factor?

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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praosylen
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Location: Pembina University, Home of the Gliders
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Re: Very Low Expansion Factor?

Post by praosylen » April 28th, 2016, 8:35 am

simsim314 wrote:I hope you've heard of the semi snark...just in case:

Code: Select all

x = 78, y = 94, rule = B3/S23
19$67bo$65b3o$64bo$56b2o6b2o$56bobo$57bo2$62b2o$62b2o5b2o$69b2o3$52b2o
$52b2o7b2o$62b2o$61bo5b2o$67bobo$69bo$69b2o18$36bo11b2o5b2o$36b3o9b2o
5b2o$36bobo$38bo12b2o$51b2o4$28b2o$28b2o2$24b2o5b2o$24b2o5b2o5$35b2o$
36bo$33b3o$33bo!
Since (probably) nobody's going to be constructing these, that boat can be replaced with a tub to save a bit:

Code: Select all

x = 78, y = 75, rule = B3/S23
67bo$65b3o$64bo$57bo6b2o$56bobo$57bo2$62b2o$62b2o5b2o$69b2o3$52b2o
$52b2o7b2o$62b2o$61bo5b2o$67bobo$69bo$69b2o18$36bo11b2o5b2o$36b3o9b2o
5b2o$36bobo$38bo12b2o$51b2o4$28b2o$28b2o2$24b2o5b2o$24b2o5b2o5$35b2o$
36bo$33b3o$33bo!
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dvgrn
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Re: Very Low Expansion Factor?

Post by dvgrn » April 28th, 2016, 9:56 am

simsim314 wrote:
Dean Hickerson wrote: Can someone tell me who found that?
I've checked what was used in Gemini, and it's also robust and would fit here, but it's much more heavy, so it's probably relatively new invention (dvgrn should know the author)...
No, both edge shooters are fairly ancient. The heavy high-clearance one is just a suppressed Fx119 conduit (Buckingham, 1996), and the lighter-weight zero-clearance inserter is NW31, which was the first Herschel-to-glider converter in Stephen Silver's original collection. The new and interesting part is Kazyan's syringe G-to-H.

There's another new inserter that might be useful here, to reduce the number of guns that need to be replaced to adjust the period. It allows the third glider in the salvo to be constructed with a single signal also.

Here's a not-working-yet proof of concept that I threw together this morning, using that edge shooter, a universal regulator, two guns, and stable circuitry. It should work to split and adjust the output from a single gun, but I haven't gotten around to that yet. I used chris_c's stable duplicator script to align the gliders, to save time -- there are much lighter-weight ways to synchronize three signals!

The universal regulator (from here) works fine for a while, but one of the Doppler-shift return phases eventually interferes with the reconstruction of the bait eater. I think it will probably be necessary to rebuild the stable regulator to use an edge-shooter on the left side that has a smaller "danger zone", less than 40 ticks... but I'm out of time for thinking about it for today.

Code: Select all

#C Improperly Adjusted Universal Regulator
#C No Warranty Express Or Implied -- Use At Your Own Risk
x = 485, y = 547, rule = B3/S23
21b2o$21b2o17$26b2o$25bo2bo$25bobo$23b2o2b2o$22bo2b2o$22b2o3b2o$27bo$
28bo$25b3o$25bo6$42b2o$42b2o3$27b2o$27bobo$29bo$29b2o4$48b2o$48bo$46bo
bo$29b2o15b2o$29b2o3$46b2o$46bobo$48bo$48b2o3$50b2o$45b2o2bo2bo$45bobo
2b2o$30b2o16b2o$31bo17bo$28b3o15bo2bob2o$28bo16bobob2obo$46bobo$47bo2b
2o$48b2ob3o$54bo$48b2ob3o27bo$48b2obo18b2o7b3o$65bo5bo6bo$40b2o23b3o3b
obo4b2o$31b2o7b2o26bo3b2o$32bo34b2o$32bobo$33b2o57bo$90b3o$89bo$89b2o$
53b2o$53b2o$88b2o$88b2o3$38bo$37bobo$37bobo30b2o$38bo32bo$35b3o30b3o$
35bo32bo26b2o$90b2o2bo2bo$90bobo2b2o$75b2o16b2o$11b2o63bo17bo$11b2o60b
3o15bo2bob2o$73bo16bobob2obo$91bobo$92bo2b2o$2o91b2ob3o$bo23b2o72bo$bo
bo21bo67b2ob3o$2b2o19bobo67b2obo$23b2o10bo$35b3o47b2o$38bo37b2o7b2o$
37b2o38bo$52b2o23bobo$2b2o48bo25b2o$bobo45b2obo$bo46bo2bo$2o47b2o$34b
2o62b2o$34b2o62b2o3$11b2o$11b2o8b2o3bo$21bo3bobo55bo$22bo3bobo53bobo$
23bo3bobob2o49bobo$21bob4o2bob2o50bo$20bobo3bobo51b3o$20bobo2bo2b2ob2o
47bo$21bo3b2o2bobo$29bobo10b2o$30bo11b2o8$102b2o11bo$102b2o10bobo$114b
obo2b2o3bo$113b2ob2o2bo2bobo$117bobo3bobo12b2o$113b2obo2b4obo13bo$113b
2obobo3bo13bobo$117bobo3bo12b2o$118bobo3bo$119bo3b2o$144b2o$145bo$145b
obo$110b2o34b2o$110b2o$95b2o$55b2o37bo2bo$33b2o20bo37bob2o70b2o$34bo
18bobo37bo73b2o$34bobo16b2o37b2o$35b2o12bo57b2o$48bobo56bo$48bobo57b3o
24b2o$49bo60bo11b2o11b2o$123bo$61b2o57b3o$61bo58bo$59bobo$59b2o78b2o$
140bo$137b3o$38b2o97bo$39bo117b2o$39bobo115b2o$40b2o3$53b2obo60bo$53b
2ob3o47b2o7b3o$59bo41bo5bo6bo$53b2ob3o42b3o3bobo4b2o$54bobo47bo3b2o$
54bobo46b2o$55bo$31b2o95bo$30bo2bo2b2o88b3o$31b2o2bobo13b2o72bo$33b2o
16bobo71b2o$33bo19bo8b2o$30b2obo2bo16b2o7b2o$30bob2obobo86b2o$34bobo
87b2o$31b2o2bo$29b3ob2o16b2o$28bo23bo23b2o$29b3ob2o17bobo21bo$31bob2o
18b2o19bobo29b2o$74b2o10bo20bo$41b2o43b3o15b3o$41b2o7b2o37bo13bo27b2o$
50bo37b2o14bo21b2o2bo2bo$48bobo52b2o21bobo2b2o$48b2o3b2o48bo7b2o16b2o$
52bobo45b2obo8bo17bo$52bo46bo2bo6b3o15bo2bob2o$51b2o47b2o7bo16bobob2ob
o$28b2o55b2o40bobo$28b2o55b2o41bo2b2o$129b2ob3o$135bo36b2o11bo$62b2o
65b2ob3o37b2o10bobo$62b2o8b2o3bo51b2obo51bobo2b2o3bo$44bo27bo3bobo104b
2ob2o2bo2bobo$43bobo27bo3bobo41b2o64bobo3bobo12b2o$43bobo28bo3bobob2o
28b2o7b2o60b2obo2b4obo13bo$44bo27bob4o2bob2o29bo69b2obobo3bo13bobo$45b
3o23bobo3bobo33bobo71bobo3bo12b2o$47bo23bobo2bo2b2ob2o30b2o72bobo3bo$
72bo3b2o2bobo106bo3b2o$80bobo10b2o119b2o$81bo11b2o120bo$134b2o79bobo$
134b2o44b2o34b2o$180b2o$165b2o$164bo2bo$163bob2o70b2o$119bo43bo73b2o$
118bobo41b2o$118bobo56b2o$119bo57bo$116b3o59b3o24b2o$116bo63bo11b2o11b
2o$193bo$190b3o$190bo2$209b2o$210bo$207b3o$207bo$227b2o$227b2o2$106b2o
$106bo$104bobo$104b2o$100bo$99bobo$99bobo$100bo2$112b2o$112bo$110bobo$
110b2o3$89b2o$90bo$90bobo$91b2o3$104b2obo$104b2ob3o64b2o293b2o$110bo
63b2o293b2o$104b2ob3o$105bobo$105bobo358b2o$106bo359b2o$82b2o$81bo2bo
2b2o380b2o$82b2o2bobo13b2o365b2o$84b2o16bobo372b2o$84bo19bo8b2o74b2o
286bo$81b2obo2bo16b2o7b2o74b2o284bobo$81bob2obobo386b2o$85bobo$82b2o2b
o$80b3ob2o16b2o$79bo23bo23b2o340bo$80b3ob2o17bobo21bo341b2o$82bob2o18b
2o19bobo61b2o277bobo$125b2o10bo46b2o2bo2bo$92b2o43b3o44bobo2b2o$92b2o
7b2o37bo28b2o16b2o274bo$101bo37b2o29bo17bo273b2o3bo$99bobo52b2o11b3o
15bo2bob2o270bobo$99b2o3b2o48bo12bo16bobob2obo266bobo2b2o$103bobo45b2o
bo30bobo270bobo3bobo$103bo46bo2bo32bo2b2o268bo6b2o$102b2o47b2o34b2ob3o
$79b2o55b2o55bo240b2o$79b2o55b2o49b2ob3o241b2o7bobo$187b2obo252b2o$
444bo13b2o$113b2o64b2o245bo31b2o$113b2o8b2o3bo41b2o7b2o244bobo$95bo27b
o3bobo41bo254bo$94bobo27bo3bobo40bobo$94bobo28bo3bobob2o37b2o$95bo27bo
b4o2bob2o315b2o$96b3o23bobo3bobo298b2o19b2o$98bo23bobo2bo2b2ob2o294b2o
$123bo3b2o2bobo58b2o230b2o$131bobo10b2o46b2o229bobo33bo$132bo11b2o277b
o34bobo$422b2o13b2o20bo$437bo$430b2o6b3o$177bo252b2o8bo12b2o$176bobo
274b2o$176bobo$177bo253b2o27b2o$174b3o254b2o27bobo$174bo287bo$447b2o
13b2o$423bo24bo$422bobo20b3o6b2o$423bo21bo8b2o4$426b2o$426b2o$421b2o
27b2o$420bobo27b2o$420bo$419b2o13b2o$434bo24bo$427b2o6b3o20bobo$427b2o
8bo21bo$159b2o$159bo$157bobo$157b2o296b2o$153bo301b2o$152bobo305b2o$
152bobo305bobo$153bo308bo$447b2o13b2o$165b2o281bo$165bo279b3o6b2o$163b
obo279bo8b2o$163b2o3$142b2o$143bo$143bobo$144b2o3$157b2obo$157b2ob3o
203bo$163bo202b3o71bo$157b2ob3o206bo7b2o59b3o$158bobo195b2o10b2o7b2o
42bobo4b2o7bo$158bobo196bo63b2o5b2o7b2o10b2o$159bo197bobo62bo26bo$135b
2o206b2o13b2o87bobo$134bo2bo2b2o201b2o102b2o13b2o$135b2o2bobo13b2o305b
2o$137b2o16bobo$137bo19bo179b2o$134b2obo2bo16b2o178b2o129b2o$134bob2ob
obo199b2o125b2o$138bobo200b2o121b2o$135b2o2bo324b2o$133b3ob2o$132bo
239b2o$133b3ob2o197b2o34bo13bobobobo40b2o$135bob2o197b2o35b3o9bob2ob2o
bo20bobobobo13bo34b2o$375bo9bo3bo3bo19bob2ob2obo9b3o35b2o$145b2o237b2o
3bob2o11b2o7bo3bo3bo9bo$145b2o7b2o234bo12bobo8b2obo3b2o$154bo233bobo
12bo12bo$152bobo205b2o26b2o12b2o12bobo$152b2o201b2o2bo2bo31b2o21b2o26b
2o$355bobo2b2o31bobo48bo2bo2b2o$358b2o33bo51b2o2bobo$359bo29bo2b2o53b
2o$132b2o222bo2bob2o24b3o57bo$132b2o221bobob2obo23bo57b2obo2bo$356bobo
26bobo56bob2obobo10b2o$357bo2b2o23bobo27b2o31bobo11bo$358b2ob3o22bo28b
obo27b2o2bo13b3o$364bo52bo25b3ob2o16bo$148bo209b2ob3o53b2o23bo$147bobo
208b2obo81b3ob2o$147bobo295bob2o$148bo201b2o18b2o$149b3o189b2o7b2o18b
2o83b2o$151bo190bo112b2o7b2o$342bobo119bo$343b2o117bobo$390b2o70b2o$
390bobo$392bo17b2o11bo$363b2o18b2o7b2o16b2o10bobo$363b2o18b2o37bobo2b
2o3bo9b2o$421b2ob2o2bo2bobo8b2o$373bob2o48bobo3bobo$371b3ob2o44b2obo2b
4obo$370bo50b2obobo3bo$348bo22b3ob2o48bobo3bo15b2o$347bobo23b2o2bo48bo
bo3bo14bo10bo$347bobo26bobo48bo3b2o12bobo9bobo$348bo23bob2obobo16bo44b
2o2b2o10bobo20b2o$345b3o24b2obo2bo15b3o44b2o15bo21bo$345bo29bo17bo65b
3ob2o17bo$375b2o16b2o23b2o41bobo14b5o$373b2o2bobo38b2o43bo13bo$372bo2b
o2b2o23b2o58bobo12b3o$373b2o27bo2bo45b2o11b2o15bo$401bob2o46bo26b4o$
401bo47bobo21b2o3bo3b2o$372b2o26b2o47b2o22b2o4b3o2bo$373bo41b2o64bob2o
$373bobo39bo65bo$374b2o40b3o61b2o$371bo46bo10b2o$369b3o56bobo$309b2o
57bo59bo43b2o$310bo56bobo57b2o43bo$308bo58bobo50bo23b2o27b3o$308b5o14b
2o39bo51b3o21bo30bo$313bo13bo95bo21b3o$310b3o12bobo94b2o23bo$309bo15b
2o$309b4o$307b2o3bo3b2o34b2o34b2o24b2o$306bo2b3o4b2o34b2o34b2o24bo$
306b2obo101b2obo$309bo101bo2b3o4b2o$309b2o101b2o3bo3b2o$372b2o40b4o$
372bobo39bo15b2o$317b2o55bo40b3o12bobo2b2o$318bo46b2o7b2o42bo13bo2bo$
315b3o47b2o46b5o14b3o2bo$315bo97bo21b3o$355bob2o56bo18bo$353b3ob2o55b
2o18b2o$352bo$353b3ob2o$355bobo$355bobo$356bo2$355bo68b2o$355b3o65bobo
5b2o$358bo64bo7b2o$357b2o63b2o$365b2o$365b2o69bo$432b2obobo$431bobobob
o$428bo2bobobobob2o$428b4ob2o2bo2bo$432bo4b2o$376b2o52bobo$376bo53b2o$
374bobo$374b2o7$376b2o$376b2o3$356b2o$357bo13b2o$354b3o14bobo$354bo18b
o$373b2o12$291bo$291b3o$294bo$293b2o6bo10bo$300bobo9b3o$301bo13bo$314b
2o6bo$321bobo$288b2o32bo$288b2o6b2o$296b2o18b2o$309b2o5b2o$305b2o2b2o$
305b2o2$290b2o34b2o$289bobo34b2o$289bo$288b2o21b2o6b2o$310bobo5b2o$
310bo9bo$309b2o5$276b2o22b2o$277bo23bo$277bobo21bobo$278b2o22b2o2$293b
2o22b2o$293b2o22b2o2$308b2o$276b2o22b2o6b2o$276b2o5b2o15b2o$283b2o$
335b2o$289bo23bo9b2o5b2o2b3o2b2o$288bobo21bobo8b2o5bo2bobo4b2o$281b2o
6bo15b2o6bo17bo3bob2obo$282bo23bo20b2o5bo3b2o$279b3o21b3o21b2o$279bo
23bo3$350b2o$350b2o2$347b2o5b2o$347b2o5b2o5$343b2o$343bo$344b3o$346bo!
EDIT: Oops, no, I didn't read the specs on the universal regulator carefully enough! For safety's sake, the drive gun's repeat time needs to be less than half of the minimum distance between signals in the input stream. And that distance has to be at least ~2400, with the drive gun's minimum period being 1177

Will have to re-think the way the regulator's output interacts with the main gun output now... meanwhile, here's another non-working version. At least it doesn't blow up, and it looks suspiciously like a sawtooth at first, but then the suppression mechanism fails.

Code: Select all

x = 970, y = 1021, rule = B3/S23
21b2o$21b2o17$26b2o$25bo2bo$25bobo$23b2o2b2o$22bo2b2o$22b2o3b2o$27bo$
28bo$25b3o$25bo6$42b2o$42b2o3$27b2o$27bobo$29bo$29b2o4$48b2o$48bo$46bo
bo$29b2o15b2o$29b2o3$46b2o$46bobo$48bo$48b2o3$50b2o$45b2o2bo2bo$45bobo
2b2o$30b2o16b2o$31bo17bo$28b3o15bo2bob2o$28bo16bobob2obo$46bobo$47bo2b
2o$48b2ob3o$54bo$48b2ob3o27bo$48b2obo18b2o7b3o$65bo5bo6bo$40b2o23b3o3b
obo4b2o$31b2o7b2o26bo3b2o$32bo34b2o$32bobo$33b2o57bo$90b3o$89bo$89b2o$
53b2o$53b2o$88b2o$88b2o3$38bo$37bobo$37bobo30b2o$38bo32bo$35b3o30b3o$
35bo32bo26b2o$90b2o2bo2bo$90bobo2b2o$75b2o16b2o$11b2o63bo17bo$11b2o60b
3o15bo2bob2o$73bo16bobob2obo$91bobo$92bo2b2o$2o91b2ob3o$bo23b2o72bo$bo
bo21bo67b2ob3o$2b2o19bobo67b2obo$23b2o10bo$35b3o47b2o$38bo37b2o7b2o$
37b2o38bo$52b2o23bobo$2b2o48bo25b2o$bobo45b2obo$bo46bo2bo$2o47b2o$34b
2o62b2o$34b2o62b2o3$11b2o$11b2o8b2o3bo$21bo3bobo55bo$22bo3bobo53bobo$
23bo3bobob2o49bobo$21bob4o2bob2o50bo$20bobo3bobo51b3o$20bobo2bo2b2ob2o
47bo$21bo3b2o2bobo$29bobo10b2o$30bo11b2o8$102b2o11bo$102b2o10bobo$114b
obo2b2o3bo$113b2ob2o2bo2bobo$117bobo3bobo12b2o$113b2obo2b4obo13bo$113b
2obobo3bo13bobo$117bobo3bo12b2o$118bobo3bo$119bo3b2o$144b2o$145bo$145b
obo$110b2o34b2o$110b2o$95b2o$55b2o37bo2bo$33b2o20bo37bob2o70b2o$34bo
18bobo37bo73b2o$34bobo16b2o37b2o$35b2o12bo57b2o$48bobo56bo$48bobo57b3o
24b2o$49bo60bo11b2o11b2o$123bo$61b2o57b3o$61bo58bo$59bobo$59b2o78b2o$
140bo$137b3o$38b2o97bo$39bo117b2o$39bobo115b2o$40b2o3$53b2obo60bo$53b
2ob3o47b2o7b3o$59bo41bo5bo6bo$53b2ob3o42b3o3bobo4b2o$54bobo47bo3b2o$
54bobo46b2o$55bo$31b2o95bo$30bo2bo2b2o88b3o$31b2o2bobo13b2o72bo$33b2o
16bobo71b2o$33bo19bo8b2o$30b2obo2bo16b2o7b2o$30bob2obobo86b2o$34bobo
87b2o$31b2o2bo$29b3ob2o16b2o$28bo23bo23b2o$29b3ob2o17bobo21bo$31bob2o
18b2o19bobo29b2o$74b2o10bo20bo$41b2o43b3o15b3o$41b2o7b2o37bo13bo27b2o$
50bo37b2o14bo21b2o2bo2bo$48bobo52b2o21bobo2b2o$48b2o3b2o48bo7b2o16b2o$
52bobo45b2obo8bo17bo$52bo46bo2bo6b3o15bo2bob2o$51b2o47b2o7bo16bobob2ob
o$28b2o55b2o40bobo$28b2o55b2o41bo2b2o$129b2ob3o$135bo36b2o11bo$62b2o
65b2ob3o37b2o10bobo$62b2o8b2o3bo51b2obo51bobo2b2o3bo$44bo27bo3bobo104b
2ob2o2bo2bobo$43bobo27bo3bobo41b2o64bobo3bobo12b2o$43bobo28bo3bobob2o
28b2o7b2o60b2obo2b4obo13bo$44bo27bob4o2bob2o29bo69b2obobo3bo13bobo$45b
3o23bobo3bobo33bobo71bobo3bo12b2o$47bo23bobo2bo2b2ob2o30b2o72bobo3bo$
72bo3b2o2bobo106bo3b2o$80bobo10b2o119b2o$81bo11b2o120bo$134b2o79bobo$
134b2o44b2o34b2o$180b2o$165b2o$164bo2bo$163bob2o70b2o$119bo43bo73b2o$
118bobo41b2o$118bobo56b2o$119bo57bo$116b3o59b3o24b2o$116bo63bo11b2o11b
2o$193bo$190b3o$190bo2$209b2o$210bo$207b3o$207bo$227b2o$227b2o2$106b2o
$106bo$104bobo$104b2o$100bo$99bobo$99bobo$100bo2$112b2o$112bo$110bobo$
110b2o3$89b2o$90bo$90bobo$91b2o3$104b2obo$104b2ob3o64b2o$110bo63b2o$
104b2ob3o$105bobo$105bobo$106bo$82b2o$81bo2bo2b2o$82b2o2bobo13b2o$84b
2o16bobo$84bo19bo8b2o74b2o$81b2obo2bo16b2o7b2o74b2o$81bob2obobo$85bobo
$82b2o2bo$80b3ob2o16b2o$79bo23bo23b2o$80b3ob2o17bobo21bo$82bob2o18b2o
19bobo61b2o$125b2o10bo46b2o2bo2bo$92b2o43b3o44bobo2b2o$92b2o7b2o37bo
28b2o16b2o$101bo37b2o29bo17bo$99bobo52b2o11b3o15bo2bob2o$99b2o3b2o48bo
12bo16bobob2obo$103bobo45b2obo30bobo$103bo46bo2bo32bo2b2o$102b2o47b2o
34b2ob3o$79b2o55b2o55bo$79b2o55b2o49b2ob3o$187b2obo2$113b2o64b2o$113b
2o8b2o3bo41b2o7b2o$95bo27bo3bobo41bo$94bobo27bo3bobo40bobo$94bobo28bo
3bobob2o37b2o$95bo27bob4o2bob2o$96b3o23bobo3bobo$98bo23bobo2bo2b2ob2o$
123bo3b2o2bobo58b2o$131bobo10b2o46b2o$132bo11b2o4$177bo$176bobo$176bob
o$177bo$174b3o$174bo17$159b2o$159bo$157bobo$157b2o$153bo$152bobo$152bo
bo$153bo2$165b2o$165bo$163bobo$163b2o3$142b2o$143bo$143bobo$144b2o3$
157b2obo$157b2ob3o$163bo$157b2ob3o$158bobo$158bobo$159bo$135b2o$134bo
2bo2b2o$135b2o2bobo13b2o$137b2o16bobo$137bo19bo$134b2obo2bo16b2o$134bo
b2obobo$138bobo$135b2o2bo$133b3ob2o$132bo$133b3ob2o$135bob2o2$145b2o$
145b2o7b2o$154bo$152bobo$152b2o4$132b2o$132b2o5$148bo$147bobo$147bobo$
148bo$149b3o$151bo359$947b2o$947b2o4$940b2o$939bob3o2b2o$940bo2bobobo$
947bo$941b2ob3o8b2o$941b2o2bo9bo$943bo9bobo$953b2o2$936bo$935bo$935b3o
8$936b2o$936b2o2$939b2o$912b2o25b2o$912b2o2$936b2o$904bo7bo23b2o$903bo
bo5bobo$904bo8b2o$907b6o$906bo4bo$906b2ob2o$906bo4bo8bo$907b2ob2o6bobo
9b2o$902b2o3bo3bo7b2o9b2o$901bobo4b3o$901bo$900b2o13b2o22bo$915bo22bob
o$908b2o6b3o20bo$908b2o8bo2$914b2o$914b2o19b2o$935b2o$940b2o$906bo33bo
bo$905bobo34bo$906bo20b2o13b2o$928bo$925b3o6b2o$925bo8b2o$909b2o$909b
2o$904b2o27b2o$903bobo27b2o$903bo$902b2o13b2o$917bo24bo$910b2o6b3o20bo
bo$910b2o8bo21bo4$938b2o$938b2o$943b2o$943bobo$945bo$930b2o13b2o$931bo
$928b3o6b2o$918bo9bo8b2o$917bo$917b3o7$851bo$851b3o71bo$854bo7b2o59b3o
$841b2o10b2o7b2o49b2o7bo$842bo70b2o7b2o10b2o$842bobo89bo$828b2o13b2o
87bobo$828b2o102b2o13b2o$947b2o2$822b2o$822b2o129b2o$826b2o125b2o$826b
2o121b2o$949b2o2$857b2o$821b2o34bo13bobobobo40b2o$821b2o35b3o9bob2ob2o
bo20bobobobo13bo34b2o$860bo9bo3bo3bo19bob2ob2obo9b3o35b2o$869b2o3bob2o
11b2o7bo3bo3bo9bo$875bo12bobo8b2obo3b2o$873bobo12bo12bo$845b2o26b2o12b
2o12bobo$840b2o2bo2bo31b2o21b2o26b2o$840bobo2b2o31bobo48bo2bo2b2o$843b
2o33bo51b2o2bobo$844bo29bo2b2o53b2o$841bo2bob2o24b3o57bo$840bobob2obo
23bo57b2obo2bo$841bobo26bobo56bob2obobo10b2o$842bo2b2o23bobo27b2o31bob
o11bo$843b2ob3o22bo28bobo27b2o2bo13b3o$849bo52bo25b3ob2o16bo$843b2ob3o
53b2o23bo$843b2obo81b3ob2o$930bob2o$835b2o18b2o$826b2o7b2o18b2o83b2o$
827bo112b2o7b2o$827bobo119bo$828b2o117bobo$875b2o70b2o$875bobo$877bo
17b2o11bo$848b2o18b2o7b2o16b2o10bobo$848b2o18b2o37bobo2b2o3bo9b2o$906b
2ob2o2bo2bobo8b2o$858bob2o48bobo3bobo$856b3ob2o44b2obo2b4obo$855bo50b
2obobo3bo$833bo22b3ob2o48bobo3bo15b2o$832bobo23b2o2bo48bobo3bo14bo10bo
$832bobo26bobo48bo3b2o12bobo9bobo$833bo23bob2obobo16bo44b2o2b2o10bobo
20b2o$830b3o24b2obo2bo15b3o44b2o15bo21bo$830bo29bo17bo65b3ob2o17bo$
860b2o16b2o23b2o41bobo14b5o$858b2o2bobo38b2o43bo13bo$857bo2bo2b2o23b2o
58bobo12b3o$858b2o27bo2bo45b2o11b2o15bo$886bob2o46bo26b4o$886bo47bobo
21b2o3bo3b2o$857b2o26b2o47b2o22b2o4b3o2bo$858bo41b2o64bob2o$858bobo39b
o65bo$859b2o40b3o61b2o$856bo46bo10b2o$854b3o56bobo$794b2o57bo59bo43b2o
$795bo56bobo57b2o43bo$793bo58bobo50bo23b2o27b3o$793b5o14b2o39bo51b3o
21bo30bo$798bo13bo95bo21b3o$795b3o12bobo94b2o23bo$794bo15b2o$794b4o$
792b2o3bo3b2o34b2o34b2o24b2o$791bo2b3o4b2o34b2o34b2o24bo$791b2obo101b
2obo$794bo101bo2b3o4b2o$794b2o101b2o3bo3b2o$857b2o40b4o$857bobo39bo15b
2o$802b2o55bo40b3o12bobo2b2o$803bo46b2o7b2o42bo13bo2bo$800b3o47b2o46b
5o14b3o2bo$800bo97bo21b3o$840bob2o56bo18bo$838b3ob2o55b2o18b2o$837bo$
838b3ob2o$840bobo$840bobo$841bo2$840bo68b2o$840b3o65bobo5b2o$843bo64bo
7b2o$842b2o63b2o$850b2o$850b2o69bo$917b2obobo$916bobobobo$913bo2bobobo
bob2o$913b4ob2o2bo2bo$917bo4b2o$861b2o52bobo$861bo53b2o$859bobo$859b2o
7$861b2o$861b2o3$841b2o$842bo13b2o$839b3o14bobo$839bo18bo$858b2o4$727b
2o115bo$726bobo113b3o$726bo114bo$725b2o114b2o3$840bo$841bo3bo$836b2o3b
o4bo5b2o$836bo3bo2bo2bo5b2o$778bo57bobo3b4o$778b3o56b2o3b2o4b2o$781bo
66b2o$780b2o6bo10bo$787bobo9b3o$788bo13bo$801b2o6bo15b2o$782b2o24bobo
14b2o$775b2o5b2o25bo$775b2o44b2o5b2o$821b2o5b2o$796b2o$792b2o2b2o6b2o$
792b2o10b2o$832bo$777b2o34b2o17bobo$776bobo34b2o17b2o$776bo$775b2o21b
2o$797bobo$797bo$796b2o5$763b2o22b2o$764bo23bo$764bobo21bobo16b2o$765b
2o22b2o17bo$808bobo$780b2o22b2o3b2o$780b2o22b2o$824b2o$771b2o22b2o27b
2o$763b2o6b2o14b2o6b2o$763b2o22b2o26b2o$807b2o6b2o$807b2o$776bo23bo$
775bobo21bobo$768b2o6bo15b2o6bo19bo$769bo23bo25bobo$766b3o21b3o19b2o6b
o$766bo23bo22bo$810b3o$810bo!

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » April 28th, 2016, 4:19 pm

@dvgrn - you can just place a block for the ticks when the regulator is in "maintenance". So the gliders that come back from the push5 collision, will collide with the "gate keeping block" instead. Obviously we only need to make sure this trick doesn't cause any problems - but I think the "gap" between the periods should be wide enough.

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Very Low Expansion Factor?

Post by Dean Hickerson » April 28th, 2016, 4:55 pm

simsim314 wrote:Another question: how do you adjust the expansion factor, by changing the gun period?
I wrote:With my current design, I think that we just need to replace the 4 p240 guns by larger multiples of 120, and move the 2 snarks farther southwest. We'll have to spread things apart a bit, to make room for the larger guns.
Actually, we also have to move the 2 p120 guns that are above and to the right of the central eater farther northeast.

Here's a p720, e.f. 19/18 version:

Code: Select all

x = 469, y = 603, rule = B3/S23
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$o
67bo2$o67bo$24b2o24b2o$o23b2o24b2o16bo$32b2o$o30bo2bo33bo$32b2o$o46b2o
19bo$37bo8bo$o35b3o8b2o19bo$36b3o$o9b3o55bo$10b3o24b3o$o8bo3b2o22b3o
28bo$13b2o11bobo9bo$o8bobo15b2o39bo$12b2o13bo14b2o$o21b2o17bo2bo23bo$
22b2o18b2o14bo$o49b2o4b3o9bo$50b2o3bo$o54b2o11bo$8bo14bo$o6bobo12bobo
43bo$7bob2o2bo4bo2b2obo$o4b2o2bo2b2o4b2o2bo2b2o41bo$6bobo14bobo26b3o$o
5bob6o4b6obo25bo3bo12bo$7bo5bo4bo5bo$o7b3o10b3o7b2o17bo5bo11bo$10bo10b
o9b2o17b2o3b2o$o33b2o32bo$34b3o$o33b2o32bo$24b2o5b2o19bo5b2o$o22bobo5b
2o19bo4bobo8bo$23bo18bo10bo2b3o$o21b2o14b4obo12b2o10bo$38b3obobo12bobo
$o42bobo12bobo2b2o3bo$44bo14bo2bobo$o42b2o15b4o4bo$43b2o16b2o$o42b2o
23bo2$o67bo2$o67bo2$o67bo$62bobo$o62b2o3bo$63bo$o67bo2$o67bo$bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo38$365bobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$364bo103bo$287bo$285b3o76bo103bo$284bo
106bo$284b2o78bo24b3o76bo$388bo$364bo23b2o78bo2$290bo73bo103bo$286b2ob
obo3b2o$285b2ob3obo2b2o67bo103bo$286b6o100b2o5b2o$287bo76bo27b2o5b2o
67bo2$364bo30b2o71bo$216b2o177b2o$216b2o146bo103bo$237bo30b2o$190b2o
43b3o30b2o94bo103bo$190b2o42bo137b2o$234b2o28b2o5b2o91bo7b2o8b3o83bo$
264b2o5b2o107b4ob2o$193b2o59bo23bobo83bo3b2o5bobo4b2o2bo81bo$193b2o57b
3o23b2o88b2o5b2o7b3o$229b3o19bo27bo84bo14bobo86bo$190b2o39bo6b2o11b2o
11bo$190b2o27bo10bo7b2o24b3o97bo103bo$182b2o35bo47bo$183bo33bo48b2o96b
o103bo$183bobo30b3o3bo58b2o$184b2o20b2o7bo3bob2o58bo82bo103bo$206b2o8b
5o57b2obo$189bo2b2o23b3o36bo3b2o15bo2bo83bo25b2o76bo$225b2o28b2o4b3o
14b2o110bobo$189bo3bo29b4o27b2o8bo99bo25bo77bo$193bo29b2ob3o26b5o2bobo
$190bobo34bobo27b3o3bo100bo103bo$229bo$190b3o36b2o133bo103bo$208bo41b
2o3bo$209b2o39bo3bobo107bo103bo$208b2o41bo3bobo$201b2o35b2o12bo3bobob
2o102bo103bo$201b2o36bo10bob4o2bob2o$236b3o10bobo3bobo106bo103bo$198b
2o36bo12bobo2bo2b2ob2o$198b2o50bo3b2o2bobo103bo103bo$258bobo10b2o$259b
o11b2o91bo103bo$201b2o$201b2o48b3o110bo103bo$254bo$250bo3bo109bo103bo$
240bo8bobo2bo$240b3o4bo2bobo111bo103bo$243bo3bo3bo$242b2o3bo116bo103bo
$248b3o$245bo118bo103bo$244bobo$240b2o2b2o118bo103bo$240b2o$364bo55b2o
46bo$420bobo$364bo55bo47bo$234bobo$235b2o10bobo114bo103bo$235bo12b2o$
248bo115bo103bo$238bo$239b2o23b2o98bo79b2o22bo$238b2o24bo179b2o$262bob
o99bo103bo$262b2o$364bo82b2o19bo$447b2o$364bo103bo$444b2o$364bo79b2o
22bo$263b2o$263b2o99bo103bo$224bo10b2o5b2o$222b2o11b2o5b2o120bo103bo$
224bobobo$226bobo9b2o124bo103bo$238b2o$364bo103bo$445b3o$364bo78b2o3bo
19bo$215b2o$215b2o147bo83bo12b2o5bo$248bo194bo3bo13bobo$211b2o5b2o28b
2o114bo79b3o16bo4bo$211b2o5b2o27bobo213b2o$364bo90b2o11bo$455b2o$364bo
103bo$452b2o$222b2o27b2o5b2o104bo87b2o14bo$223bo27b2o5b2o$220b3o141bo
103bo$220bo33b2o199b2o$254b2o108bo90b2o11bo2$364bo103bo2$231b2o9bo121b
o103bo$231b2o10b2o120bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo$244b2o$227b2o
5bo11bo$227b2o5b2o5b5o$244bo4$238b2o$239bo$236b3o$236bo2$244b3o$246bo$
245bo2$310b2o$310bo$308bobo$308b2o4$243b2o5b2o$243b2o5b2o2$246b2o$246b
2o3$237bo3bo$223b2o10bo2bob3o$223b2o13bobobo$236bo$219b2o5b2o7b2o$219b
2o5b2o8bobo3bo$236bobo4$230b2o$231bo$228b3o$228bo11$56bo$54b3o$53bo$
53b2o5$50b3o$49bo3bo2$48bo5bo$48b2o3b2o3$51bo$50bobo$50bobo$46bo3bo$
43b4o3bo$42b4o4bo2bo$35b2o5bo2bo4bo2bo$35b2o5b4o5b2o$43b4o$46bo296b2o$
343b2o$57bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$56bo67bo2$56bo67bo60bobobobobobobobobobobobobobobobobobo$60b2o
122bo35bo$56bo3bobo61bo239b2o$60bo123bo35bo143b2o$56bo67bo72bo$184bo
12b3o20bo$56bo67bo75bo$184bo14b2o19bo$56bo67bo$184bo35bo$56bo23b2o42bo
63b2ob2o$61bo2bo14bo2bo101bo3b2obo28bo$56bo7bo14bo44bo66bo$60bo4bo13bo
104bo6b3o4b2o20bo$56bo3b2o2bobo12bobo3bo38bo64b2o3bo3b2o$65bob2o11bobo
3bo97bo3bo2b4o25bo$56bo24bo4bo14b2o21bo63b2obo15b2o$82b4o15bo82bo4bo2b
3o12bobo10bo$56bo8bo2bo2b2o19b2o5bobo22bo64bo5bo13bo$65b2o24b3o5b2o83b
o5b5o14b2o9bo$56bo31bob2o32bo67bo22bo$88bo2bo92bo28b3o4bo$56bo31bob2o
32bo87bo$68b2o3b2o16b3o9bo10bo69bo27b2o6bo$56bo11b2o3b2o17b2o7b3o10b3o
7bo$100bo5bo4bo5bo66bo35bo$56bo13b3o26bob6o4b6obo5bo$70b3o26bobo14bobo
65bo35bo$56bo14bo26b2o2b2ob2o4b2ob2o2b2o4bo$100bob2ob2o4b2ob2obo66bo
35bo$56bo43bob2o10b2obo6bo77b2o$101bo14bo67bo16bobo5b2o9bo$56bo11b2o
54bo76bo7b2o$69bo3b2o109bo15b2o18bo$56bo9b3o4b2o49bo$66bo14b2o18b2o81b
o29bo5bo$56bo23bo2bo17b2o21bo85b2obobo$81b2o13b2o14bo71bo24bobobobo4bo
$56bo39bobo11bo13bo81bo2bobobob2o$85b3o8bo13b3obo69bo21b4ob2o2bo4bo$
56bo53bo2b2o9bo85bo4bo$85bobo27bo68bo21b2o2bob3o5bo$56bo28bo2bo23bobo
9bo81b2o3b2o$86bobo24bo70bo35bo$56bo20bo46bo$78bo7b3o95bo35bo$56bo20bo
46bo60bobobobobobobobobobobobobobobobobobo$91b2o$56bo33bo2bo30bo$91b2o
$56bo16b2o24b2o23bo$73b2o24b2o$56bo67bo2$56bo67bo$57bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobo83$135bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobo$134bo67bo2$134b
o67bo$196b2o$134bo62b2o3bo$196bo$134bo67bo2$134bo67bo2$134bo67bo2$134b
o41b2o24bo$176bobo$134bo42b3o12b2o8bo$178b2o12b2o2b2o$134bo41bobo11b2o
bo2b2o4bo$171b2o2bobo12b3o$134bo20b2o14bobo2bo25bo$156bo15b4o$134bo21b
obo5bobo6b2o16b2o9bo$157b2o5bo2bo23b2o$134bo32b2o33bo$165bo3b2o$134bo
32b2o33bo$143bo10bo9bo2bo15b2o3b2o$134bo6b3o10b3o7bobo16b2o3b2o12bo$
140bo5bo4bo5bo26b5o$134bo4bob6o4b6obo26bobo14bo$139bobo14bobo$134bo3b
2o3bob2o4b2obo3b2o25b3o14bo$140bo4b2o4b2o4bo$134bo5bo2b2o8b2o2bo44bo$
141b2o12b2o$134bo53b2o12bo$183b2o3bo$134bo48b2o4b3o10bo$155b2o18b2o14b
o$134bo20b2o17bo2bo24bo$160b2o13b2o$134bo9b2obo13b2o8bo30bo$143bobob2o
11bo10bo$134bo7b4obo22bobo29bo$142bo28bo$134bo8b2o24bo2bo29bo$144bo25b
o$134bo34bobo30bo$170bo8b2o$134bo35bo31bo$165b2o$134bo29bo2bo34bo$165b
2o$134bo22b2o24b2o17bo$157b2o24b2o$134bo67bo2$134bo67bo$135bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo41$276bobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$275bo
69bo2$275bo69bo$298b2o24b2o$275bo22b2o24b2o19bo$306b2o$275bo29bo2bo36b
o$306b2o$275bo35bo33bo$285bo24b3o$275bo8bo24b2o2b2o30bo$283b2o$275bo7b
3o2bo19b2o4b2o29bo$283b2o2b2ob2o$275bo8bo7bo16b2o2b2o30bo$285bo6bo18b
3o$275bo15bo20bo32bo$286bob2o26b2o$275bo10bobo7b2o5bobo9bo2bo26bo$286b
3o7b2o6b2o10b2o14bo$275bo28bo19b2o4b3o12bo$324b2o3bo$275bo53b2o14bo$
282bo14bo$275bo5bobo12bobo27bo18bo$281bob2o2bo4bo2b2obo27bo$275bo3b2o
2bo2b2o4b2o2bo2b2o44bo$280bobo14bobo$275bo4bob6o4b6obo24b2o3b2o14bo$
281bo5bo4bo5bo26b5o$275bo6b3o10b3o9b2o17b3o16bo$284bo10bo10bobo18bo$
275bo29bo6b2o31bo$305bo2bo3b2o$275bo29bo5bobo31bo$298b2o6bobo23b2o$
275bo21bobo7b2o22bobo11bo$297bo18bo13b3o$275bo20b2o14b4obo12b2o13bo$
312b3obobo12bobo$275bo41bobo12bobo2b2o6bo$318bo14bo2bobo$275bo41b2o15b
4o7bo$317b2o16b2o$275bo41b2o26bo2$275bo69bo2$275bo69bo2$275bo69bo2$
275bo69bo2$275bo63bobo3bo$340b2o$275bo64bo4bo$357b2o$275bo80b3o$276bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo10bob
2o9b2o$353bo2bo4bo5bo$345b3o5bob2o5bo$345b3o8b3o3bo3bo$344bo3bo8b2o5bo
2$343b2o3b2o10$345b2o$345b2o!
I've drawn boxes around the 4 p720 guns and the 2 other pieces that need to be moved. If you replace the guns by period 120*N guns, then you also have to move the boxed snarks 15*(N-6) units southwest and the boxed p120 guns the same distance northeast.

Of course, if the guns are large, they may not fit, so you'll have to move some of them farther away. There's also a possible problem where the eastward LWSS stream crosses the paths of gliders going to and from the snarks. I don't know if a collision can occur there for some values of N.

For example, here's a p1200, e.f. 31/30 version:

Code: Select all

x = 525, y = 589, rule = B3/S23
51b2o$47b2o2bo$46bo2bobo$45bo2bo2b2o$43b3obobobo$42bo4b3o3bo$41bob4obo
b3obo$42bo3bo3bo3bo$43b3o5b3o$45bob3obo$46b5o11b2o$47b3o12bo$60bobo$
60b2o$50b2o$50b2o4$39b2o$39b2o$2b2o21bobo$3bo19bo3bo27b2o$3bobo9bo7bo
31bobo$4b2o8b4o4bo4bo8b2o19bo$13b2obobo4bo12b2o19b2o$12b3obo2bo3bo3bo
423bo$13b2obobo6bobo421b3o$14b4o430bo$3b2o10bo31b2o399b2o$3b2o21bo20b
2o$24bobo$25b2o$46b2o$46b2obo402b2o5b2o$49bo402b2o5b2o$2b3o30b2o12bo$b
2ob2o26bob3o9bo2bo405b2o$b2ob2o26b3o12b2o13bobo390b2o$b5o25bobo9bo19b
2o$2o3b2o36bo19bo$26b2o15bo$26b2o404b2o$39b2o391b2o8b3o$40bo399b4ob2o$
4b2o14b3o405b2o5bobo4b2o2bo$22bo17b2o386b2o5b2o7b3o$11bo9bo17b3o397bob
o$10bobo26b3o$10b2obo8bobo$10b2ob2o6bo2bo20b2o$10b2obo6b2o10b2o11bobo$
10bobo5b2o3bo8b2o13bo$11bo8b2o5b2o18b2o$21bo2bo4bo$22bobo425b2o$450bob
o$450bo27$287bo$285b3o192b2o$284bo195bobo$284b2o194bo4$290bo$286b2obob
o3b2o$285b2ob3obo2b2o207b2o$286b6o212b2o$287bo2$507b2o$216b2o289b2o$
216b2o$237bo30b2o234b2o$190b2o43b3o30b2o234b2o$190b2o42bo$234b2o28b2o
5b2o$264b2o5b2o$193b2o59bo23bobo$193b2o57b3o23b2o$229b3o19bo27bo$190b
2o39bo6b2o11b2o11bo$190b2o27bo10bo7b2o24b3o$182b2o35bo47bo237b3o$183bo
33bo48b2o235b2o3bo$183bobo30b3o3bo58b2o$184b2o20b2o7bo3bob2o58bo226bo
12b2o$206b2o8b5o57b2obo221bo3bo13bobo$189bo2b2o23b3o36bo3b2o15bo2bo
223b3o16bo$225b2o28b2o4b3o14b2o243b2o$189bo3bo29b4o27b2o8bo250b2o$193b
o29b2ob3o26b5o2bobo250b2o$190bobo34bobo27b3o3bo$229bo282b2o$190b3o36b
2o281b2o$208bo41b2o3bo$209b2o39bo3bobo$208b2o41bo3bobo257b2o$201b2o35b
2o12bo3bobob2o253b2o$201b2o36bo10bob4o2bob2o$236b3o10bobo3bobo$198b2o
36bo12bobo2bo2b2ob2o$198b2o50bo3b2o2bobo$258bobo10b2o$259bo11b2o$201b
2o$201b2o48b3o$254bo$250bo3bo$240bo8bobo2bo$240b3o4bo2bobo$243bo3bo3bo
$242b2o3bo$248b3o$245bo$244bobo$240b2o2b2o$240b2o4$234bobo$235b2o10bob
o$235bo12b2o$248bo$238bo$239b2o23b2o$238b2o24bo$262bobo$262b2o6$263b2o
$263b2o$224bo10b2o5b2o$222b2o11b2o5b2o$224bobobo$226bobo9b2o$238b2o4$
215b2o$215b2o$248bo$211b2o5b2o28b2o$211b2o5b2o27bobo5$222b2o27b2o5b2o$
223bo27b2o5b2o$220b3o$220bo33b2o$254b2o4$231b2o9bo$231b2o10b2o$244b2o$
227b2o5bo11bo$227b2o5b2o5b5o$244bo4$238b2o$239bo$236b3o$236bo2$244b3o$
246bo$245bo2$310b2o$310bo$308bobo$308b2o4$243b2o5b2o$243b2o5b2o2$246b
2o$246b2o3$237bo3bo$223b2o10bo2bob3o$223b2o13bobobo$236bo$219b2o5b2o7b
2o$219b2o5b2o8bobo3bo$236bobo4$230b2o$231bo$228b3o$228bo11$56bo$54b3o$
53bo$53b2o5$50b3o$49bo3bo2$48bo5bo$48b2o3b2o3$51bo$50bobo$50bobo$46bo
3bo$43b4o3bo$42b4o4bo2bo$35b2o5bo2bo4bo2bo$35b2o5b4o5b2o$43b4o$46bo
296b2o$343b2o5$60b2o$60bobo26bo274b2o$60bo26b3o274b2o$86bo$86b2o2$74bo
$74b3o$77bo$76b2o$92b2o$91bo2bo$91bobo2bo2bo$84b2o4b2obob5o$84b2o3bo3b
o$65b2o22bo4bob2o$46bo14b4o4b2o18bo3b2o3bo$46b3o12b3ob2o2b2o18bo4bobob
o$49bo16bo22bo3bo3bo$48b2o40b2obob2o$59bo31bobobo$59bo31bobobo$53bo5bo
32bobo$52bo40bo$51b2o2b2o22b2o$52bo3bo22b2o$55bo$74b2o$62b2o10b2o$62b
2o2$47b2o11b2o$45bo2bo10bobo14b2o$61bo$44bo2$45b2o$47bo9b2o13b2o3b2o$
57b2o9b2o3b5o$67b2o4b2ob2o$44b2o3b2o18bo3b2ob2o$44b2o3b2o23b3o$45b5o3b
o$46bobo4b2o$52bobo$46b3o$72b3o$72b3o$71bo3bo$70bo5bo$49bo21bo3bo$48bo
bo21b3o$47bo3bo$48b3o$46b2o3b2o4$58bobo$53bo4bo2bo13b2o$54b2o5b2o6b2o
4bo$49bo9bo3b2o4b2o5b3o$49bo11b2o15bo$58bo2bo75bo$58bobo76b3o$140bo$
139b2o3$128b2ob2o$128b2obo$131bo$131b3o4b2o$129b2o3bo3b2o$128bo2b4o$
128b2obo15b2o$129bo2b3o12bobo$129bo5bo13bo$130b5o14b2o$132bo22bo$153b
3o$152bo$152b2o7$142b2o$141bobo5b2o$141bo7b2o$140b2o2$154bo$150b2obobo
$149bobobobo$146bo2bobobob2o$146b4ob2o2bo$150bo4bo$146b2o2bob3o$146b2o
3b2o24$157b2o$157b2o4b3o$143bo10b2o6b5o14b2o$143bobo7b3o5bo3bobo13bo$
136b2o8b2o6b2o6bo3b2o11bobo$139bo6b2o9b2o20b2o$136bo9b2o9b2o$140bo2bob
o$140bo2bo11bo17b3o$153bobo17bo2bo$138b2o14b2o16b2o2bo$137bo34b6o$176b
2o$160b2o14b3o$134b2o3b2o19b2o15b2o$134b2o3b2o24bo10b2o$135b5o26b2o28b
2o$136bobo26b2o14b2o14b2o$169b2o10b2o13bo$136b3o30b2o$182bo$181bobo$
180bo2bo$179bo2bo$158b3o$137b2o21bo18bo2bo$137b2o10bo9bo21b2o$148bobo$
148b2obo8bobo$148b2ob2o6bo2bo$148b2obo6b2o10b2o19b2o$138b2o8bobo5b2o3b
o8b2o19bo$137bobo9bo8b2o5b2o22bobo$137bo21bo2bo4bo21b2o$136b2o22bobo$
173b2o$173b2o4$184b2o$184b2o$194b2o$194bobo$196bo$196b2o$179b7o$177b3o
b3ob3o$176bo4b3o4bo$175bob4obob3obo$176bo10bo$177b3obobobo$179bobobob
2o$180bo2bobo$181b2o2bo$185b2o72$327b2o$323b2o2bo$322bo2bobo$321bobobo
b2o$319b3o5bo$318bo4b3o3bo$317bob4obob3obo$318bo11bo$319b3o5b3o$321bo
5bo$322b5o11b2o$338bo$336bobo$336b2o$326b2o$326b2o4$315b2o$315b2o$278b
2o20bo$279bo19bobo29b2o$279bobo7b2o6b2o3bo28bobo$280b2o6bobo4b2obo3bo
9b2o19bo$287b3o4b3obo3bo9b2o19b2o$286b3o4bo2b2obobo$287b3o4b2o4bo$288b
obo$279b2o8b2o32b2o$279b2o41bo2bo$303bo18bo$301bobo18bo$302b2o18bob2o$
279bo44b2o$278b3o$277bo3bo$276bob3obo40b2o$277b5o41b2o$319bo19bobo$
319bo20b2o$302b2o15bo20bo$302b2o53b2o$356b3o$297b3o17bo35bob2o9b2o$
299bo16b2o35bo2bo4bo5bo$298bo18bo27b3o5bob2o5bo$286bo30bo27b3o8b3o3bo
3bo$285b2o29bo27bo3bo8b2o5bo$284b2o4b2o5bo18b2o$283b3o4b2o3bobo23b2o
20b2o3b2o$284b2o4b2o2bobo11b2o11bobo$285b2o6bo2bo11b2o13bo$286bo7bobo
26b2o$295bobo$297bo5$345b2o$345b2o!
It's interesting to remove the snarks from any of these patterns. They're no longer sawtooths; instead, they send a pseudo-random-looking glider stream to the southwest. I have no idea what its properties are.

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simsim314
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Re: Very Low Expansion Factor?

Post by simsim314 » April 28th, 2016, 6:11 pm

Dean Hickerson wrote:Of course, if the guns are large, they may not fit, so you'll have to move some of them farther away.
I've adjusted semi snarks, in a way they all fit - and the output glider is on the same lane using X16 4 semi snarks multipliers. Now we only need to place the multiples and the guns correctly, to get any growth we want.

Code: Select all

x = 621, y = 698, rule = B3/S23
517bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$516bo103bo2$516bo103bo$543bo$
516bo24b3o76bo$540bo$516bo23b2o78bo2$516bo103bo2$516bo103bo$544b2o5b2o
$516bo27b2o5b2o67bo2$516bo30b2o71bo$547b2o$516bo103bo2$516bo103bo$524b
2o$516bo7b2o8b3o83bo$532b4ob2o$516bo3b2o5bobo4b2o2bo81bo$520b2o5b2o7b
3o$516bo14bobo86bo2$516bo103bo2$516bo103bo2$516bo103bo2$516bo25b2o76bo
$72bo469bobo$70b3o443bo25bo77bo$69bo$62bo6b2o445bo103bo$10bo50bobo$10b
3o49bo453bo103bo$13bo$12b2o502bo103bo$74b2o$66b2o6b2o440bo103bo$66b2o$
516bo103bo$b2o5b2o8bo38b2o$b2o5b2o7b2o38b2o457bo103bo$17b3o$5b2o12bo2b
obo47b2o442bo103bo$5b2o12b2obobo47bobo$22b3o49bo441bo103bo$74b2o$516bo
103bo$28b2o$28b2o486bo103bo2$25b2o5b2o482bo103bo$25b2o5b2o$516bo103bo
2$516bo103bo2$516bo55b2o46bo$572bobo$516bo55bo47bo2$516bo103bo$26bobo
64b2o$27b2o64b2o421bo103bo$27bo$516bo79b2o22bo$102bo493b2o$101bobo412b
o103bo$102bo$516bo82b2o19bo$46b2o551b2o$46bo469bo103bo$44bobo51b2o496b
2o$44b2o52b2o416bo79b2o22bo$103b2o$29b2o72bobo410bo103bo$29b2o74bo$90b
2o13b2o409bo103bo$38b2o51bo$38b2o6b2o40b3o6b2o417bo103bo$46b2o40bo8b2o
$516bo103bo$597b3o$34bo481bo78b2o3bo19bo$33bobo$34bo6b2o473bo83bo12b2o
5bo$41bo553bo3bo13bobo$42b3o471bo79b3o16bo4bo$44bo570b2o$516bo90b2o11b
o$58b2o547b2o$58b2o456bo103bo$604b2o$516bo87b2o14bo$50bo$49bobo5b3o
456bo103bo$50bo6bobo547b2o$54bob2o2bo455bo90b2o11bo$52b2obo$52b2ob2o
459bo103bo$64bobo$53b2ob2o7b2o449bo103bo$48b2o3b2ob2o7bo451bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo$47bobo5bo$47bo$46b2o13b2o$61bo$54b2o6b3o$54b2o
8bo3$55b2o$55b2o34$289bo$287b3o$286bo$286b2o4$292bo$288b2obobo3b2o$
287b2ob3obo2b2o$288b6o$289bo3$218b2o$218b2o$239bo30b2o$192b2o43b3o30b
2o$192b2o42bo$236b2o28b2o5b2o$266b2o5b2o$195b2o59bo23bobo$195b2o57b3o
23b2o$231b3o19bo27bo$192b2o39bo6b2o11b2o11bo$192b2o27bo10bo7b2o24b3o$
184b2o35bo47bo$185bo33bo48b2o$185bobo30b3o3bo58b2o$186b2o20b2o7bo3bob
2o58bo$208b2o8b5o57b2obo$191bo2b2o23b3o36bo3b2o15bo2bo$227b2o28b2o4b3o
14b2o$191bo3bo29b4o27b2o8bo$195bo29b2ob3o26b5o2bobo$192bobo34bobo27b3o
3bo$231bo$192b3o36b2o$210bo41b2o3bo$211b2o39bo3bobo$210b2o41bo3bobo$
203b2o35b2o12bo3bobob2o$203b2o36bo10bob4o2bob2o$238b3o10bobo3bobo$200b
2o36bo12bobo2bo2b2ob2o$200b2o50bo3b2o2bobo$260bobo10b2o$261bo11b2o$
203b2o$203b2o48b3o$256bo$252bo3bo$242bo8bobo2bo$242b3o4bo2bobo$245bo3b
o3bo$244b2o3bo$250b3o$247bo$246bobo$242b2o2b2o$242b2o4$236bobo$237b2o
10bobo$237bo12b2o$250bo$240bo$241b2o23b2o$240b2o24bo$264bobo$264b2o6$
265b2o$265b2o$226bo10b2o5b2o$224b2o11b2o5b2o$226bobobo$228bobo9b2o$
240b2o4$217b2o$217b2o$250bo$213b2o5b2o28b2o$213b2o5b2o27bobo5$224b2o
27b2o5b2o$225bo27b2o5b2o$222b3o$222bo33b2o$256b2o4$233b2o9bo$233b2o10b
2o$246b2o$229b2o5bo11bo$229b2o5b2o5b5o$246bo4$240b2o$241bo$238b3o$238b
o2$246b3o$248bo$247bo2$312b2o$312bo$310bobo$310b2o4$245b2o5b2o$245b2o
5b2o2$248b2o$248b2o3$239bo3bo$225b2o10bo2bob3o$225b2o13bobobo$238bo$
221b2o5b2o7b2o$221b2o5b2o8bobo3bo$238bobo4$232b2o$233bo$230b3o$230bo
11$58bo$56b3o$55bo$55b2o5$52b3o$51bo3bo2$50bo5bo$50b2o3b2o3$53bo$52bob
o$52bobo$48bo3bo$45b4o3bo$44b4o4bo2bo$37b2o5bo2bo4bo2bo$37b2o5b4o5b2o$
45b4o$48bo296b2o$345b2o5$62b2o$62bobo301b2o$62bo303b2o18$49bo$47b3o$
46bo$39bo6b2o$38bobo$39bo2$44b2o$44b2o5b2o$51b2o3$34b2o$34b2o69bo$87b
2o14b5o$49b2o37bo13bo5bo$49bobo36bobo12b3o2bo$51bo37b2o15bob2o$51b2o
50b4o2bo$98b2o3bo3b2o$98b2o4b3o$106bo$106bob2o$105b2ob2o3$97b2o$97bo$
98b3o$100bo$26b2o$8b2o8bo6bobo$8b2o6b3o8bo$15bo$2o13b2o$bo$bobo$2b2o$
7b2o$7b2o3$79b2o$4bo74bo$3bobo71bobo$4bo72b2o2$62b2o$12b2o48b2o$12b2o
2$79b2o$72b2o5b2o$72b2o2$50b2o15bo$50b2o14bobo$67bo6b2o$74bo$42bo8b2o
22b3o$42b3o6b2o24bo$45bo$44b2o13b2o$59bo$57bobo$57b2o2$50b2o$50b2o3$
56bo$55bobo$23b2o31bo$23b2o2$47b2o$20b2o13b2o10b2o$20b2o12bobo$36bo$
23b2o$16b2o5b2o150bo$16bobo154b3o$18bo153bo$16bobo146bo6b2o$15bo148bob
o$15bobo147bo$15bo$14bo155b2o$170b2o5b2o$177b2o3$6b2o152b2o$5bobo152b
2o$5bo$4b2o169b2o$12b2o161bobo$12b2o163bo$177b2o$15b2o$15b2o3$12b2o$
12b2o7$134b2o8bo$134b2o6b3o$141bo$126b2o13b2o$127bo$127bobo$128b2o2$
135b2o$135b2o61b2o$199b2o$198bo6b2o$130bo74bo$129bobo71bobo$130bo72b2o
$195bo$188b2o3b2o$37bobobobobobobobobobobobobobobobobobo66b2o48b2o3bo$
36bo35bo65b2o53b3o3b2o$195bobob2o$36bo35bo123b2o3bo3b2o$49bo145bo3b2o
4b2o$36bo12b3o20bo123b2ob2o$52bo143b2o$36bo14b2o19bo120bo$192bobo$36bo
35bo120bo6b2o$40b2ob2o155bo$36bo3b2obo28bo95bo8b2o22b3o$43bo124b3o6b2o
24bo$36bo6b3o4b2o20bo98bo$41b2o3bo3b2o118b2o13b2o$36bo3bo2b4o25bo112bo
$40b2obo15b2o122bobo$36bo4bo2b3o12bobo10bo110b2o$41bo5bo13bo$36bo5b5o
14b2o9bo103b2o$44bo22bo108b2o$36bo28b3o4bo$64bo$36bo27b2o6bo109bo$181b
obo$36bo35bo76b2o31bo$149b2o$36bo35bo$173b2o$36bo35bo73b2o25b2o$54b2o
90b2o12b2o$36bo16bobo5b2o9bo88b2o$53bo7b2o86b2o9bo$36bo15b2o18bo76b2o$
141b3o$36bo29bo5bo70bo$62b2obobo73b3o$36bo24bobobobo4bo$58bo2bobobob2o
73bo$36bo21b4ob2o2bo4bo67b3o$62bo4bo70b3o$36bo21b2o2bob3o5bo66b2o$58b
2o3b2o$36bo35bo2$36bo35bo59b2o$37bobobobobobobobobobobobobobobobobobo
59bobo$131bo$130b2o$138b2o$138b2o2$141b2o$141b2o3$138b2o$138b2o39$300b
2o3b2o$300b2o2bob3o$304bo4bo$300b4ob2o2bo$300bo2bobobob2o$303bobobobo$
304b2obobo$308bo2$294b2o$295bo7b2o$295bobo5b2o$296b2o7$306b2o$306bo$
307b3o$309bo7$271b2o8bo$271b2o6b3o$278bo$263b2o13b2o$264bo$264bobo$
265b2o$270b2o$270b2o4$267bo$266bobo$267bo3$275b2o64bobo$275b2o65b2o$
342bo$261bo97b2o$259b3o96b3o$258bo96bob2o9b2o$251bo6b2o95bo2bo4bo5bo$
250bobo94b3o5bob2o5bo$251bo95b3o8b3o3bo3bo$346bo3bo8b2o5bo2$263b2o40bo
8b2o29b2o3b2o$255b2o6b2o40b3o6b2o$255b2o51bo$307b2o13b2o$246b2o74bo$
246b2o72bobo$320b2o$261b2o52b2o$261bobo51b2o$263bo$263b2o82b2o$347b2o$
319bo$318bobo$319bo$245bo$245b2o$244bobo63b2o$310b2o6$292bo$292b2o$
291bobo2$242b2o5b2o$242b2o5b2o2$245b2o$245b2o$240bo$240b2o49b2o$238b2o
2bo48bo$222b2o12bo4b2o46bobo$222b2o12b3o50b2o$236b2o$218b2o5b2o47b2o$
218b2o5b2o47b2o3$291b2o$284b2o5b2o$229b2o53b2o$230bo$227b3o49bo$227bo
50bobo$279bo6b2o$286bo$287b3o$289bo!
Dean Hickerson wrote:It's interesting to remove the snarks from any of these patterns. They're no longer sawtooths; instead, they send a pseudo-random-looking glider stream to the southwest. I have no idea what its properties are.
It's kinda funny - this looks like some "recursive" series with some irrational numbers involved. BTW why do you have the snarks there in the first place?

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dvgrn
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Re: Very Low Expansion Factor?

Post by dvgrn » April 28th, 2016, 7:34 pm

simsim314 wrote:@dvgrn - you can just place a block for the ticks when the regulator is in "maintenance". So the gliders that come back from the push5 collision, will collide with the "gate keeping block" instead. Obviously we only need to make sure this trick doesn't cause any problems - but I think the "gap" between the periods should be wide enough.
I've tried a few ideas now, and have figured out a couple of ways to make the circuitry work. But I'm not sure they're minimal, and they don't seem to match your suggested design. Where would the signal come from, that produces the "gate-keeping block"? Will it be destroyed by each return glider from the push5 collision, and then be renewed somehow?

My designs so far seem a little too complicated; the easiest one needs a long delay loop and a permanent switch for the glider stream for the base gun -- which means I need two universal regulators, or I could cheat and the same regulator twice, by adding a merge circuit and a toggle-switch output.

Anyway, your idea looks better, based on your description, but I can't figure out what you're describing...!

In case it isn't clear, one possible goal I'm thinking about for this stable version of the 5fd-push sawtooth circuitry is a pattern that can be connected to a single sufficiently high-period gun, and it will still produce sawtooth behavior without any other adjustments.

In my designs so far, I'd also have to adjust reflectors and distances so that a copy of Return Glider N cleanly annihilates a copy of Return Glider N+1 -- but it seems like there should be something simpler.

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Very Low Expansion Factor?

Post by Dean Hickerson » April 28th, 2016, 8:21 pm

simsim314 wrote:I've adjusted semi snarks, in a way they all fit - and the output glider is on the same lane using X16 4 semi snarks multipliers. Now we only need to place the multiples and the guns correctly, to get any growth we want.
Thanks.
It's kinda funny - this looks like some "recursive" series with some irrational numbers involved. BTW why do you have the snarks there in the first place?
I'll describe this for the p240, e.f. 7/6 sawtooth. During the times when the block is being pushed, the return gliders arrive every 280 gens. The regulator, consisting of 2 LWSS streams and a glider stream, turns them into a p240 glider stream heading northeast and then southwest. But there are gaps in the stream because 280 > 240. So each return glider has to remove either 1 or 2 salvos. Luckily there's a collision in which a glider cleanly deletes 2 salvos, allowing the next return glider to pass through. If that glider happens to be followed by a gap in the stream, then the snarks move it to where it can delete a salvo that would otherwise escape.

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Very Low Expansion Factor?

Post by Dean Hickerson » April 28th, 2016, 8:48 pm

simsim314 wrote:I hope you've heard of the semi snark...just in case:
No, I hadn't; thanks. I should use that to replace the p240 guns in my e.f. 7/6 sawtooth; it would probably give a smaller repeating population.
Scorbie wrote:Congrats on building it so fast! The new one is especially neat. I think the mechanism is similar to that of David Bell's sawtooth 260?
Yes, it is, although that one is simpler because each return glider has to delete exactly 2 gliders from the gun, instead of sometimes 1 and sometimes 2.

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Very Low Expansion Factor?

Post by Dean Hickerson » April 28th, 2016, 10:45 pm

simsim314 wrote:I've adjusted semi snarks, in a way they all fit - and the output glider is on the same lane using X16 4 semi snarks multipliers. Now we only need to place the multiples and the guns correctly, to get any growth we want.
Here's a small improvement. It turns out that the 2 p120 guns in the northeast can be replaced by a buckaroo and a snark. It doesn't reduce the size much, but it seems more elegant to use 2 reflectors instead of 2 inverters.

Code: Select all

#C Sawtooth with e.f. 49/48
x = 621, y = 698, rule = B3/S23
517bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo$516bo103bo2$516bo103bo2$516bo
103bo2$516bo103bo2$516bo103bo2$516bo103bo2$516bo20b2o3b2o76bo$535b3obo
2b2o$516bo17bo4bo80bo$534bo2b2ob4o$516bo16b2obobobo2bo76bo$534bobobobo
$516bo17bobob2o80bo$535bo$516bo103bo$548b2o$516bo22b2o7bo71bo$539b2o5b
obo$516bo29b2o72bo2$516bo103bo2$516bo103bo2$516bo103bo$536b2o$516bo20b
o82bo$72bo461b3o$70b3o443bo17bo85bo$69bo$62bo6b2o445bo103bo$10bo50bobo
$10b3o49bo453bo103bo$13bo$12b2o502bo103bo$74b2o$66b2o6b2o440bo103bo$
66b2o$516bo103bo$b2o5b2o8bo38b2o$b2o5b2o7b2o38b2o457bo103bo$17b3o$5b2o
12bo2bobo47b2o442bo103bo$5b2o12b2obobo47bobo$22b3o49bo441bo103bo$74b2o
$516bo103bo$28b2o$28b2o486bo103bo2$25b2o5b2o482bo103bo$25b2o5b2o$516bo
103bo2$516bo103bo2$516bo103bo2$516bo103bo2$516bo103bo$26bobo64b2o509bo
$27b2o64b2o421bo85b3o15bo$27bo573bo$516bo84b2o17bo$102bo$101bobo412bo
103bo$102bo$516bo82bo20bo$46b2o550b3o$46bo469bo81b3o19bo$44bobo51b2o$
44b2o52b2o416bo79b2o3b2o17bo$103b2o491b2o3b2o$29b2o72bobo410bo103bo$
29b2o74bo$90b2o13b2o409bo103bo$38b2o51bo506b2o$38b2o6b2o40b3o6b2o417bo
103bo$46b2o40bo8b2o$516bo84b2o17bo$601bo$34bo481bo85b3o15bo$33bobo568b
o$34bo6b2o473bo103bo$41bo$42b3o471bo103bo$44bo$516bo103bo$58b2o$58b2o
456bo103bo2$516bo103bo$50bo$49bobo5b3o456bo103bo$50bo6bobo$54bob2o2bo
455bo103bo$52b2obo$52b2ob2o459bo103bo$64bobo$53b2ob2o7b2o449bo103bo$
48b2o3b2ob2o7bo451bobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobo$47bobo5bo$47bo$
46b2o13b2o$61bo$54b2o6b3o$54b2o8bo3$55b2o$55b2o34$289bo$287b3o$286bo$
286b2o4$292bo$288b2obobo3b2o$287b2ob3obo2b2o$288b6o$289bo3$218b2o$218b
2o$239bo30b2o$192b2o43b3o30b2o$192b2o42bo$236b2o28b2o5b2o$266b2o5b2o$
195b2o59bo23bobo$195b2o57b3o23b2o$231b3o19bo27bo$192b2o39bo6b2o11b2o
11bo$192b2o27bo10bo7b2o24b3o$184b2o35bo47bo$185bo33bo48b2o$185bobo30b
3o3bo58b2o$186b2o20b2o7bo3bob2o58bo$208b2o8b5o57b2obo$191bo2b2o23b3o
36bo3b2o15bo2bo$227b2o28b2o4b3o14b2o$191bo3bo29b4o27b2o8bo$195bo29b2ob
3o26b5o2bobo$192bobo34bobo27b3o3bo$231bo$192b3o36b2o$210bo41b2o3bo$
211b2o39bo3bobo$210b2o41bo3bobo$203b2o35b2o12bo3bobob2o$203b2o36bo10bo
b4o2bob2o$238b3o10bobo3bobo$200b2o36bo12bobo2bo2b2ob2o$200b2o50bo3b2o
2bobo$260bobo10b2o$261bo11b2o$203b2o$203b2o48b3o$256bo$252bo3bo$242bo
8bobo2bo$242b3o4bo2bobo$245bo3bo3bo$244b2o3bo$250b3o$247bo$246bobo$
242b2o2b2o$242b2o4$236bobo$237b2o10bobo$237bo12b2o$250bo$240bo$241b2o
23b2o$240b2o24bo$264bobo$264b2o6$265b2o$265b2o$226bo10b2o5b2o$224b2o
11b2o5b2o$226bobobo$228bobo9b2o$240b2o4$217b2o$217b2o$250bo$213b2o5b2o
28b2o$213b2o5b2o27bobo5$224b2o27b2o5b2o$225bo27b2o5b2o$222b3o$222bo33b
2o$256b2o4$233b2o9bo$233b2o10b2o$246b2o$229b2o5bo11bo$229b2o5b2o5b5o$
246bo4$240b2o$241bo$238b3o$238bo2$246b3o$248bo$247bo2$312b2o$312bo$
310bobo$310b2o4$245b2o5b2o$245b2o5b2o2$248b2o$248b2o3$239bo3bo$225b2o
10bo2bob3o$225b2o13bobobo$238bo$221b2o5b2o7b2o$221b2o5b2o8bobo3bo$238b
obo4$232b2o$233bo$230b3o$230bo11$58bo$56b3o$55bo$55b2o5$52b3o$51bo3bo
2$50bo5bo$50b2o3b2o3$53bo$52bobo$52bobo$48bo3bo$45b4o3bo$44b4o4bo2bo$
37b2o5bo2bo4bo2bo$37b2o5b4o5b2o$45b4o$48bo296b2o$345b2o5$62b2o$62bobo
301b2o$62bo303b2o18$49bo$47b3o$46bo$39bo6b2o$38bobo$39bo2$44b2o$44b2o
5b2o$51b2o3$34b2o$34b2o69bo$87b2o14b5o$49b2o37bo13bo5bo$49bobo36bobo
12b3o2bo$51bo37b2o15bob2o$51b2o50b4o2bo$98b2o3bo3b2o$98b2o4b3o$106bo$
106bob2o$105b2ob2o3$97b2o$97bo$98b3o$100bo$26b2o$8b2o8bo6bobo$8b2o6b3o
8bo$15bo$2o13b2o$bo$bobo$2b2o$7b2o$7b2o3$79b2o$4bo74bo$3bobo71bobo$4bo
72b2o2$62b2o$12b2o48b2o$12b2o2$79b2o$72b2o5b2o$72b2o2$50b2o15bo$50b2o
14bobo$67bo6b2o$74bo$42bo8b2o22b3o$42b3o6b2o24bo$45bo$44b2o13b2o$59bo$
57bobo$57b2o2$50b2o$50b2o3$56bo$55bobo$23b2o31bo$23b2o2$47b2o$20b2o13b
2o10b2o$20b2o12bobo$36bo$23b2o$16b2o5b2o150bo$16bobo154b3o$18bo153bo$
16bobo146bo6b2o$15bo148bobo$15bobo147bo$15bo$14bo155b2o$170b2o5b2o$
177b2o3$6b2o152b2o$5bobo152b2o$5bo$4b2o169b2o$12b2o161bobo$12b2o163bo$
177b2o$15b2o$15b2o3$12b2o$12b2o7$134b2o8bo$134b2o6b3o$141bo$126b2o13b
2o$127bo$127bobo$128b2o2$135b2o$135b2o61b2o$199b2o$198bo6b2o$130bo74bo
$129bobo71bobo$130bo72b2o$195bo$188b2o3b2o$37bobobobobobobobobobobobob
obobobobobo66b2o48b2o3bo$36bo35bo65b2o53b3o3b2o$195bobob2o$36bo35bo
123b2o3bo3b2o$49bo145bo3b2o4b2o$36bo12b3o20bo123b2ob2o$52bo143b2o$36bo
14b2o19bo120bo$192bobo$36bo35bo120bo6b2o$40b2ob2o155bo$36bo3b2obo28bo
95bo8b2o22b3o$43bo124b3o6b2o24bo$36bo6b3o4b2o20bo98bo$41b2o3bo3b2o118b
2o13b2o$36bo3bo2b4o25bo112bo$40b2obo15b2o122bobo$36bo4bo2b3o12bobo10bo
110b2o$41bo5bo13bo$36bo5b5o14b2o9bo103b2o$44bo22bo108b2o$36bo28b3o4bo$
64bo$36bo27b2o6bo109bo$181bobo$36bo35bo76b2o31bo$149b2o$36bo35bo$173b
2o$36bo35bo73b2o25b2o$54b2o90b2o12b2o$36bo16bobo5b2o9bo88b2o$53bo7b2o
86b2o9bo$36bo15b2o18bo76b2o$141b3o$36bo29bo5bo70bo$62b2obobo73b3o$36bo
24bobobobo4bo$58bo2bobobob2o73bo$36bo21b4ob2o2bo4bo67b3o$62bo4bo70b3o$
36bo21b2o2bob3o5bo66b2o$58b2o3b2o$36bo35bo2$36bo35bo59b2o$37bobobobobo
bobobobobobobobobobobobobo59bobo$131bo$130b2o$138b2o$138b2o2$141b2o$
141b2o3$138b2o$138b2o39$300b2o3b2o$300b2o2bob3o$304bo4bo$300b4ob2o2bo$
300bo2bobobob2o$303bobobobo$304b2obobo$308bo2$294b2o$295bo7b2o$295bobo
5b2o$296b2o7$306b2o$306bo$307b3o$309bo7$271b2o8bo$271b2o6b3o$278bo$
263b2o13b2o$264bo$264bobo$265b2o$270b2o$270b2o4$267bo$266bobo$267bo3$
275b2o64bobo$275b2o65b2o$342bo$261bo97b2o$259b3o96b3o$258bo96bob2o9b2o
$251bo6b2o95bo2bo4bo5bo$250bobo94b3o5bob2o5bo$251bo95b3o8b3o3bo3bo$
346bo3bo8b2o5bo2$263b2o40bo8b2o29b2o3b2o$255b2o6b2o40b3o6b2o$255b2o51b
o$307b2o13b2o$246b2o74bo$246b2o72bobo$320b2o$261b2o52b2o$261bobo51b2o$
263bo$263b2o82b2o$347b2o$319bo$318bobo$319bo$245bo$245b2o$244bobo63b2o
$310b2o6$292bo$292b2o$291bobo2$242b2o5b2o$242b2o5b2o2$245b2o$245b2o$
240bo$240b2o49b2o$238b2o2bo48bo$222b2o12bo4b2o46bobo$222b2o12b3o50b2o$
236b2o$218b2o5b2o47b2o$218b2o5b2o47b2o3$291b2o$284b2o5b2o$229b2o53b2o$
230bo$227b3o49bo$227bo50bobo$279bo6b2o$286bo$287b3o$289bo!

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: Very Low Expansion Factor?

Post by chris_c » April 29th, 2016, 5:33 am

Dean Hickerson wrote:... there are gaps in the stream because 280 > 240. So each return glider has to remove either 1 or 2 salvos. Luckily there's a collision in which a glider cleanly deletes 2 salvos, allowing the next return glider to pass through. If that glider happens to be followed by a gap in the stream, then the snarks move it to where it can delete a salvo that would otherwise escape.
More explicitly you can say that the snarks are needed when the number of consecutive gliders in the stream is even. In this example, the snarks are needed after the sequences of 2 and 4 gliders but not after the sequences of 1 or 3.

Code: Select all

x = 1550, y = 863, rule = B3/S23
2bo$obo$b2o$11bo$5bo6bo$6bo3b3o$4b3o54$62bo$60bobo$61b2o$71bo$65bo6bo$
66bo3b3o$64b3o2$1547bobo$1547b2o$1548bo50$122bo$120bobo$121b2o$131bo$
125bo6bo$126bo3b3o$124b3o2$1487bobo$1487b2o$1488bo50$182bo$180bobo$
181b2o$191bo$185bo6bo$186bo3b3o$184b3o2$1427bobo$1427b2o$1428bo50$242b
o$240bobo$241b2o$251bo$245bo6bo$246bo3b3o$244b3o2$1367bobo$1367b2o$
1368bo50$302bo$300bobo$301b2o$311bo$305bo6bo$306bo3b3o$304b3o54$362bo$
360bobo$361b2o$371bo$365bo6bo$366bo3b3o$364b3o2$1247bobo$1247b2o$1248b
o50$422bo$420bobo$421b2o$431bo$425bo6bo$426bo3b3o$424b3o2$1187bobo$
1187b2o$1188bo50$482bo$480bobo$481b2o$491bo$485bo6bo$486bo3b3o$484b3o
2$1127bobo$1127b2o$1128bo50$542bo$540bobo$541b2o$551bo$545bo6bo$546bo
3b3o$544b3o54$602bo$600bobo$601b2o$611bo$605bo6bo$606bo3b3o$604b3o2$
1007bobo$1007b2o$1008bo50$662bo$660bobo$661b2o$671bo$665bo6bo$666bo3b
3o$664b3o2$947bobo$947b2o$948bo50$722bo$720bobo$721b2o$731bo$725bo6bo$
726bo3b3o$724b3o54$782bo$780bobo$781b2o$791bo$785bo6bo$786bo3b3o$784b
3o2$827bobo$827b2o$828bo23$830b2o$830bo$828bobo$828b2o8$777bo$777b3o$
780bo$779b2o3$768b2ob2o$768b2obo$771bo$771b3o4b2o$769b2o3bo3b2o$768bo
2b4o$768b2obo15b2o$769bo2b3o12bobo$769bo5bo13bo$770b5o14b2o$772bo22bo$
793b3o$792bo$792b2o3$804bo$804b3o$807bo$806b2o$782b2o$781bobo5b2o$781b
o7b2o$780b2o2$794bo$790b2obobo$789bobobobo$786bo2bobobob2o$786b4ob2o2b
o$790bo4bo$786b2o2bob3o$786b2o3b2o!

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » April 29th, 2016, 6:59 am

@Dean & Chris - thx for the explanation, I think I get it. Because the returning gliders have lower period, this causes skipping to some of the salvos, that should be destroyed.

Meanwhile I've written a small script to adjust the semi snarks. I post here for period 30720, because this is already pretty low period. But you can use the script to generate any 120 * 16^N period, thus getting expansion factor as close to 1 as you wish.

Period 30720:

Code: Select all

x = 7785, y = 7739, rule = LifeHistory
7681.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.
C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C$7680.C103.C2$7680.C103.C$
7707.C$7680.C24.3C76.C$7704.C$7680.C23.2C78.C2$7680.C103.C2$7680.C
103.C$7708.2C5.2C$7680.C27.2C5.2C67.C2$7680.C30.2C71.C$7711.2C$7680.C
103.C2$7680.C103.C$7688.2C$7680.C7.2C8.3C83.C$7696.4C.2C$7680.C3.2C5.
C.C4.2C2.C81.C$7684.2C5.2C7.3C$7680.C14.C.C86.C2$7680.C103.C2$7680.C
103.C2$7680.C103.C2$7680.C25.2C76.C$7706.C.C$7680.C25.C77.C2$7680.C
103.C2$7680.C103.C2$7680.C103.C2$7680.C103.C2$7680.C103.C2$7680.C103.
C2$7680.C103.C2$7680.C103.C2$7680.C103.C2$7680.C103.C2$7680.C103.C2$
7680.C103.C2$7680.C103.C2$7680.C55.2C46.C$7736.C.C$7680.C55.C47.C2$
7680.C103.C2$7680.C103.C2$7680.C79.2C22.C$7760.2C$7680.C103.C2$7680.C
82.2C19.C$7763.2C$7680.C103.C$7760.2C$7680.C79.2C22.C2$7680.C103.C2$
7680.C103.C2$7680.C103.C2$7680.C103.C$7761.3C$7680.C78.2C3.C19.C2$
7680.C83.C12.2C5.C$7759.C3.C13.C.C$7680.C79.3C16.C4.C$7779.2C$7680.C
90.2C11.C$7771.2C$7680.C103.C$7768.2C$7680.C87.2C14.C2$7680.C103.C$
7771.2C$7680.C90.2C11.C2$7680.C103.C2$7680.C103.C$7681.C.C.C.C.C.C.C.
C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C
.C.C.C.C.C.C.C.C.C.C3476$3586.C$3584.3C$3583.C$3576.C6.2C$3524.C50.C.
C$3524.3C49.C$3527.C$3526.2C$3588.2C$3580.2C6.2C$3580.2C2$3515.2C5.2C
47.2C$3515.2C5.2C47.2C2$3519.2C65.2C$3519.2C65.C.C$3588.C$3588.2C2$
3542.2C$3528.2C12.2C$3526.2C.2C$3526.2C.2C8.2C5.2C$3526.3C10.2C5.2C
10$3607.2C$3607.2C3$3616.C$3615.C.C$3616.C2$3560.2C$3560.C49.2C$3558.
C.C49.2C$3558.2C$3552.C.C62.2C$3543.2C8.2C62.C.C$3543.2C8.C65.C$3604.
2C13.2C$3552.2C51.C30.C$3552.2C6.2C40.3C6.2C21.3C$3560.2C40.C8.2C20.C
$3626.C6.2C$3625.C.C$3548.C77.C$3547.C.C$3548.C6.2C74.2C$3555.C75.2C
5.2C$3556.3C79.2C$3558.C2$3572.2C47.2C$3572.2C47.2C2$3636.2C$3564.C
71.C.C$3563.C.C72.C$3564.C73.2C4$3567.2C$3567.2C$3562.2C$3561.C.C$
3561.C$3560.2C13.2C$3575.C$3568.2C6.3C$3568.2C8.C4$3657.2C$3657.2C3$
3666.C$3665.C.C$3666.C2$3610.2C$3610.C$3608.C.C51.2C$3608.2C52.2C$
3667.2C$3593.2C72.C.C$3593.2C74.C$3654.2C13.2C$3655.C$3610.2C40.3C6.
2C$3603.2C5.2C40.C8.2C$3603.2C2$3598.C$3597.C.C$3598.C6.2C$3605.C$
3606.3C$3608.C2$3622.2C$3622.2C3$3614.C$3613.C.C5.3C$3614.C6.C.C$
3618.C.2C2.C$3616.2C.C$3616.2C.2C$3628.C.C$3617.2C.2C7.2C$3612.2C3.2C
.2C7.C$3611.C.C5.C$3611.C$3610.2C13.2C$3625.C$3618.2C6.3C$3618.2C8.C
38$3853.C$3851.3C$3850.C$3850.2C4$3856.C$3852.2C.C.C3.2C$3851.2C.3C.C
2.2C$3852.6C$3853.C3$3782.2C$3782.2C$3803.C30.2C$3756.2C43.3C30.2C$
3756.2C42.C$3800.2C28.2C5.2C$3830.2C5.2C$3759.2C59.C23.C.C$3759.2C57.
3C23.2C$3795.3C19.C27.C$3756.2C39.C6.2C11.2C11.C$3756.2C27.C10.C7.2C
24.3C$3748.2C35.C47.C$3749.C33.C48.2C$3749.C.C30.3C3.C58.2C$3750.2C
20.2C7.C3.C.2C58.C$3772.2C8.5C57.2C.C$3755.C2.2C23.3C36.C3.2C15.C2.C$
3791.2C28.2C4.3C14.2C$3755.C3.C29.4C27.2C8.C$3759.C29.2C.3C26.5C2.C.C
$3756.C.C34.C.C27.3C3.C$3795.C$3756.3C36.2C$3774.C41.2C3.C$3775.2C39.
C3.C.C$3774.2C41.C3.C.C$3767.2C35.2C12.C3.C.C.2C$3767.2C36.C10.C.4C2.
C.2C$3802.3C10.C.C3.C.C$3764.2C36.C12.C.C2.C2.2C.2C$3764.2C50.C3.2C2.
C.C$3824.C.C10.2C$3825.C11.2C$3767.2C$3767.2C48.3C$3820.C$3816.C3.C$
3806.C8.C.C2.C$3806.3C4.C2.C.C$3809.C3.C3.C$3808.2C3.C$3814.3C$3811.C
$3810.C.C$3806.2C2.2C$3806.2C4$3800.C.C$3801.2C10.C.C$3801.C12.2C$
3814.C$3804.C$3805.2C23.2C$3804.2C24.C$3828.C.C$3828.2C6$3829.2C$
3829.2C$3790.C10.2C5.2C$3788.2C11.2C5.2C$3790.C.C.C$3792.C.C9.2C$
3804.2C4$3781.2C$3781.2C$3814.C$3777.2C5.2C28.2C$3777.2C5.2C27.C.C5$
3788.2C27.2C5.2C$3789.C27.2C5.2C$3786.3C$3786.C33.2C$3820.2C4$3797.2C
9.C$3797.2C10.2C$3810.2C$3793.2C5.C11.C$3793.2C5.2C5.5C$3810.C4$3804.
2C$3805.C$3802.3C$3802.C2$3810.3C$3812.C$3811.C2$3876.2C$3876.C$3874.
C.C$3874.2C4$3809.2C5.2C$3809.2C5.2C2$3812.2C$3812.2C3$3803.C3.C$
3789.2C10.C2.C.3C$3789.2C13.C.C.C$3802.C$3785.2C5.2C7.2C$3785.2C5.2C
8.C.C3.C$3802.C.C4$3796.2C$3797.C$3794.3C$3794.C11$3622.C$3620.3C$
3619.C$3619.2C5$3616.3C$3615.C3.C2$3614.C5.C$3614.2C3.2C3$3617.C$
3616.C.C$3616.C.C$3612.C3.C$3609.4C3.C$3608.4C4.C2.C$3601.2C5.C2.C4.C
2.C$3601.2C5.4C5.2C$3609.4C$3612.C296.2C$3909.2C5$3626.2C$3626.C.C
301.2C$3626.C303.2C18$3613.C$3611.3C$3610.C$3603.C6.2C$3602.C.C$3603.
C2$3608.2C$3608.2C5.2C$3615.2C3$3598.2C$3598.2C69.C$3651.2C14.5C$
3613.2C37.C13.C5.C$3613.C.C36.C.C12.3C2.C$3615.C37.2C15.C.2C$3615.2C
50.4C2.C$3662.2C3.C3.2C$3662.2C4.3C$3670.C$3670.C.2C$3669.2C.2C3$
3661.2C$3661.C$3662.3C$3664.C2$3572.2C8.C$3572.2C6.3C$3579.C$3564.2C
13.2C$3565.C$3565.C.C$3566.2C$3571.2C$3571.2C3$3643.2C$3568.C74.C$
3567.C.C71.C.C$3568.C72.2C2$3626.2C$3576.2C48.2C$3576.2C$3563.C$3561.
3C79.2C$3560.C75.2C5.2C$3553.C6.2C74.2C$3552.C.C$3553.C77.C$3630.C.C$
3631.C6.2C$3565.2C71.C$3557.2C6.2C39.C8.2C22.3C$3557.2C47.3C6.2C24.C$
3609.C$3548.2C58.2C13.2C$3548.2C73.C$3621.C.C$3563.2C56.2C$3563.C.C
50.2C$3565.C50.2C$3552.2C11.2C$3551.C.C$3553.C$3620.C$3619.C.C$3620.C
3$3611.2C$3611.2C4$3522.2C8.C206.C$3522.2C6.3C204.3C$3529.C206.C$
3514.2C13.2C198.C6.2C$3515.C212.C.C$3515.C.C211.C$3516.2C$3521.2C211.
2C$3521.2C211.2C5.2C$3741.2C2$3593.2C$3518.C74.C130.2C$3517.C.C71.C.C
130.2C$3518.C72.2C$3739.2C$3576.2C161.C.C$3526.2C48.2C163.C$3526.2C
213.2C2$3593.2C$3586.2C5.2C$3586.2C2$3581.C$3580.C.C$3581.C6.2C$3588.
C$3556.C8.2C22.3C$3556.3C6.2C24.C$3559.C$3558.2C13.2C123.2C8.C$3573.C
124.2C6.3C$3571.C.C131.C$3561.2C8.2C117.2C13.2C$3560.3C128.C$3561.C2.
2C125.C.C$3564.2C126.2C$3697.2C$3697.2C$3570.C191.2C$3569.C.C191.2C$
3537.2C31.C191.C6.2C$3537.2C155.C74.C$3693.C.C71.C.C$3561.2C131.C72.
2C$3534.2C25.2C196.C$3534.2C216.2C3.2C$3702.2C48.2C3.C$3537.2C163.2C
53.3C3.2C$3537.2C150.C69.C.C.2C$3687.3C70.2C3.C3.2C$3686.C72.C3.2C4.
2C$3679.C6.2C72.2C.2C$3678.C.C79.2C$3679.C77.C$3756.C.C$3757.C6.2C$
3691.2C71.C$3535.3C145.2C6.2C39.C8.2C22.3C$3534.C3.2C143.2C47.3C6.2C
24.C$3735.C$3520.2C12.C139.2C58.2C13.2C$3519.C.C13.C3.C134.2C73.C$
3519.C16.3C208.C.C$3518.2C169.2C56.2C$3526.2C161.C.C50.2C$3526.2C163.
C50.2C$3691.2C$3529.2C$3529.2C$3746.C$3745.C.C$3526.2C218.C$3526.2C2$
3737.2C$3737.2C4$3648.2C8.C$3648.2C6.3C$3655.C$3640.2C13.2C$3641.C$
3641.C.C$3642.2C2$3649.2C$3649.2C2$3719.2C$3644.C74.C$3643.C.C71.C.C$
3644.C72.2C2$3702.2C$3652.2C48.2C$3652.2C2$3719.2C$3712.2C5.2C$3712.
2C2$3707.C$3706.C.C$3707.C6.2C$3714.C$3682.C8.2C22.3C$3682.3C6.2C24.C
$3685.C$3684.2C13.2C$3699.C$3697.C.C$3697.2C$3686.2C$3687.2C.2C$3686.
C3.2C3$3696.C$3695.C.C$3663.2C31.C$3663.2C2$3687.2C$3660.2C25.2C$
3660.2C2$3663.2C$3663.2C9$3662.2C196.2C3.2C$3661.3C196.2C2.C.3C$3661.
C2.C199.C4.C$3646.2C14.3C195.4C.2C2.C$3645.C.C14.3C195.C2.C.C.C.2C$
3645.C217.C.C.C.C$3644.2C218.2C.C.C$3652.2C214.C$3652.2C$3854.2C$
3655.2C198.C7.2C$3655.2C198.C.C5.2C$3856.2C2$3652.2C$3652.2C4$3866.2C
$3866.C$3867.3C$3869.C7$3831.2C8.C$3831.2C6.3C$3838.C$3823.2C13.2C$
3824.C$3824.C.C$3825.2C$3830.2C$3830.2C4$3827.C$3826.C.C$3827.C3$
3835.2C$3835.2C2$3821.C$3819.3C83.C.C$3818.C87.2C24.2C$3811.C6.2C86.C
25.C$3810.C.C110.2C5.C.C$3811.C110.3C5.2C$3919.C.2C$3816.2C101.C2.C$
3816.2C5.2C40.C8.2C35.3C5.C.2C$3823.2C40.3C6.2C35.3C8.3C$3868.C41.C3.
C8.2C$3867.2C13.2C$3806.2C74.C26.2C3.2C$3806.2C72.C.C$3880.2C$3821.2C
52.2C$3821.C.C51.2C$3823.C$3823.2C2$3879.C$3878.C.C$3879.C31.2C$3911.
2C2$3870.2C$3870.2C4$3781.2C8.C$3781.2C6.3C$3788.C$3773.2C13.2C$3774.
C$3774.C.C$3775.2C$3780.2C$3780.2C4$3777.C73.2C$3776.C.C72.C$3777.C
71.C.C$3849.2C2$3785.2C47.2C$3785.2C47.2C2$3771.C$3769.3C79.2C$3768.C
75.2C5.2C$3761.C6.2C74.2C$3760.C.C$3761.C77.C$3766.C71.C.C$3766.C72.C
6.2C$3765.2C6.2C40.C8.2C20.C$3764.C8.2C40.3C6.2C21.3C$3764.2C52.C30.C
$3762.2C.4C48.2C13.2C$3756.2C5.2C2.2C63.C$3756.2C.2C.2C2.C.2C60.C.C$
3763.C.C2.C61.2C$3762.2C4.C2.2C$3771.C.C44.C4.2C$3764.C8.C44.2C3.2C$
3764.C2.C5.2C42.C.C$3765.C.C$3829.C$3828.C.C$3829.C3$3820.2C$3820.2C
10$3752.2C5.2C$3741.C10.2C5.2C$3741.2C$3736.2C2.C.C12.2C$3735.C.C17.
2C$3735.C$3735.2C.C62.2C$3737.2C62.C$3732.2C65.C.C$3732.2C65.2C2$
3728.2C5.2C47.2C$3728.2C5.2C47.2C3$3801.2C$3794.2C5.2C$3739.2C53.2C$
3740.C$3737.3C49.C$3737.C50.C.C$3789.C6.2C$3796.C$3797.3C$3799.C3349$
.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C$C35.C2$C35.C$13.C$C12.3C20.C$16.
C$C14.2C19.C2$C35.C$4.2C.2C$C3.2C.C28.C$7.C$C6.3C4.2C20.C$5.2C3.C3.2C
$C3.C2.4C25.C$4.2C.C15.2C$C4.C2.3C12.C.C10.C$5.C5.C13.C$C5.5C14.2C9.C
$8.C22.C$C28.3C4.C$28.C$C27.2C6.C2$C35.C2$C35.C2$C35.C$18.2C$C16.C.C
5.2C9.C$17.C7.2C$C15.2C18.C2$C29.C5.C$26.2C.C.C$C24.C.C.C.C4.C$22.C2.
C.C.C.2C$C21.4C.2C2.C4.C$26.C4.C$C21.2C2.C.3C5.C$22.2C3.2C$C35.C2$C
35.C$.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C!
Attached python script for any 120 * 16^N period (N is user input).

Code: Select all

#C Low expantion sawtooth script based on Dean Hickerson design. 
import golly as g 

def intbase(n, b):
	digits = []
	while n > 0:
		digits += [n % b]
		n //= b
	return digits or [0]

def goto(newgen):
	currgen = int(g.getgen())

	oldstep = g.getstep()
	for i, d in enumerate(intbase(newgen - currgen, g.getbase())):
		if d > 0:
			g.setstep(i)
			for j in xrange(d):
				g.step()
    
	g.setstep(oldstep)
   
   
body = g.parse("105bo$103b3o$102bo$102b2o4$108bo$104b2obobo3b2o$103b2ob3obo2b2o$104b6o$105bo3$34b2o$34b2o$55bo30b2o$8b2o43b3o30b2o$8b2o42bo$52b2o28b2o5b2o$82b2o5b2o$11b2o59bo23bobo$11b2o57b3o23b2o$47b3o19bo27bo$8b2o39bo6b2o11b2o11bo$8b2o27bo10bo7b2o24b3o$2o35bo47bo$bo33bo48b2o$bobo30b3o3bo58b2o$2b2o20b2o7bo3bob2o58bo$24b2o8b5o57b2obo$7bo2b2o23b3o36bo3b2o15bo2bo$43b2o28b2o4b3o14b2o$7bo3bo29b4o27b2o8bo$11bo29b2ob3o26b5o2bobo$8bobo34bobo27b3o3bo$47bo$8b3o36b2o$26bo41b2o3bo$27b2o39bo3bobo$26b2o41bo3bobo$19b2o35b2o12bo3bobob2o$19b2o36bo10bob4o2bob2o$54b3o10bobo3bobo$16b2o36bo12bobo2bo2b2ob2o$16b2o50bo3b2o2bobo$76bobo10b2o$77bo11b2o$19b2o$19b2o48b3o$72bo$68bo3bo$58bo8bobo2bo$58b3o4bo2bobo$61bo3bo3bo$60b2o3bo$66b3o$63bo$62bobo$58b2o2b2o$58b2o4$52bobo$53b2o10bobo$53bo12b2o$66bo$56bo$57b2o23b2o$56b2o24bo$80bobo$80b2o6$81b2o$81b2o$42bo10b2o5b2o$40b2o11b2o5b2o$42bobobo$44bobo9b2o$56b2o4$33b2o$33b2o$66bo$29b2o5b2o28b2o$29b2o5b2o27bobo5$40b2o27b2o5b2o$41bo27b2o5b2o$38b3o$38bo33b2o$72b2o4$49b2o9bo$49b2o10b2o$62b2o$45b2o5bo11bo$45b2o5b2o5b5o$62bo4$56b2o$57bo$54b3o$54bo2$62b3o$64bo$63bo2$128b2o$128bo$126bobo$126b2o4$61b2o5b2o$61b2o5b2o2$64b2o$64b2o3$55bo3bo$41b2o10bo2bob3o$41b2o13bobobo$54bo$37b2o5b2o7b2o$37b2o5b2o8bobo3bo$54bobo4$48b2o$49bo$46b3o$46bo35$161b2o$161b2o6$182b2o$182b2o!")
wingGuns = g.parse("bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$o103bo2$o103bo$27bo$o24b3o76bo$24bo$o23b2o78bo2$o103bo2$o103bo$28b2o5b2o$o27b2o5b2o67bo2$o30b2o71bo$31b2o$o103bo2$o103bo$8b2o$o7b2o8b3o83bo$16b4ob2o$o3b2o5bobo4b2o2bo81bo$4b2o5b2o7b3o$o14bobo86bo2$o103bo2$o103bo2$o103bo2$o25b2o76bo$26bobo$o25bo77bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o103bo2$o55b2o46bo$56bobo$o55bo47bo2$o103bo2$o103bo2$o79b2o22bo$80b2o$o103bo2$o82b2o19bo$83b2o$o103bo$80b2o$o79b2o22bo2$o103bo2$o103bo2$o103bo2$o103bo$81b3o$o78b2o3bo19bo2$o83bo12b2o5bo$79bo3bo13bobo$o79b3o16bo4bo$99b2o$o90b2o11bo$91b2o$o103bo$88b2o$o87b2o14bo2$o103bo$91b2o$o90b2o11bo2$o103bo2$o103bo$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo!", 182, -2)
wingSnarks = g.parse("bobobobobobobobobobobobobobobobobobo$o35bo2$o35bo$13bo$o12b3o20bo$16bo$o14b2o19bo2$o35bo$4b2ob2o$o3b2obo28bo$7bo$o6b3o4b2o20bo$5b2o3bo3b2o$o3bo2b4o25bo$4b2obo15b2o$o4bo2b3o12bobo10bo$5bo5bo13bo$o5b5o14b2o9bo$8bo22bo$o28b3o4bo$28bo$o27b2o6bo2$o35bo2$o35bo2$o35bo$18b2o$o16bobo5b2o9bo$17bo7b2o$o15b2o18bo2$o29bo5bo$26b2obobo$o24bobobobo4bo$22bo2bobobob2o$o21b4ob2o2bo4bo$26bo4bo$o21b2o2bob3o5bo$22b2o3b2o$o35bo2$o35bo$bobobobobobobobobobobobobobobobobobo!", 2, 190)

semiSnarks = g.parse("49bo$47b3o$46bo$39bo6b2o$38bobo$39bo2$44b2o$44b2o5b2o$51b2o3$34b2o$34b2o2$49b2o$49bobo$51bo$51b2o13$8b2o8bo$8b2o6b3o$15bo$2o13b2o$bo$bobo$2b2o$7b2o$7b2o3$79b2o$4bo74bo$3bobo71bobo$4bo72b2o2$62b2o$12b2o48b2o$12b2o2$79b2o$72b2o5b2o$72b2o2$67bo$66bobo$67bo6b2o$74bo$42bo8b2o22b3o$42b3o6b2o24bo$45bo$44b2o13b2o$59bo$57bobo$57b2o$52b2o$52b2o4$56bo$55bobo$56bo3$47b2o$47b2o!")
gun120 = g.parse("3$23b2o$23b2o$37b3o$39bo$38bo$16bo3bo$15bo$15bo6b3o$17b3o3b2o$14bo5bo$15bo4bo$16bo2bo$18bo$13bo$12bo$12b3o5$6b2o$5bobo$5bo$4b2o$12b2o$12b2o2$15b2o$15b2o3$12b2o$12b2o!", 0, 70)
wssGenerator = g.parse("22bo$20b3o$19bo$19b2o5$16b3o$15bo3bo2$14bo5bo$14b2o3b2o3$17bo$16bobo$16bobo$12bo3bo$9b4o3bo$8b4o4bo2bo$b2o5bo2bo4bo2bo$b2o5b4o5b2o$9b4o$12bo39$69bo$51b2o14b5o$52bo13bo5bo$52bobo12b3o2bo$53b2o15bob2o$67b4o2bo$62b2o3bo3b2o$62b2o4b3o$70bo$70bob2o$69b2ob2o3$61b2o$61bo$62b3o$64bo!", 36, -50)

   

g.new("")

numSemiSnarks = int(g.getstring("Enter number of delay units", "1"))

period = 120 * (16 ** numSemiSnarks)
d = (period - 720) / 8

g.putcells(gun120, -50 * (numSemiSnarks - 1), 50 * (numSemiSnarks - 1))
for i in xrange(numSemiSnarks):
   g.putcells(semiSnarks, -50 * i, 50 * i)

#g.run(1920 + 347)
goto(period + 347 + 528 * (numSemiSnarks - 1))

gun = g.getcells(g.getrect())
g.putcells(g.evolve(wssGenerator, 27))
g.run(243)
wssgun = g.getcells(g.getrect())

g.new("")

g.putcells(body)
g.putcells(wingGuns, d, -d)
g.putcells(wingSnarks, -d, d)
g.putcells(gun, -58, 292)
g.putcells(g.transform(gun, -78, -118, 0, -1, 1, 0))
g.putcells(wssgun, -184, 211)
g.putcells(g.evolve(g.transform(wssgun, 135, 541, 0, -1, -1, 0), 17))
EDIT Please someone tell me the expansion factor for those cases...

EDIT2 @Dean - I didn't introduced the reflectors design, as I used the older designs when writing the script.

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » April 29th, 2016, 9:28 am

I've also managed to fix dvgrn's design.

It had two issues:

1. The period of the regulator gun is twice lower. This caused some of the destruction gliders just not to work.
2. The problem Dean needed to solve: the destruction gliders period returning from the push5 are with lower period due to Doppler effect, causing to miss some gliders that should be destroyed.

The answer to both problems is output glider overload - the same glider will need to destroy 3 possible options. The even and the odd shooting as well as the missing period due to Doppler.

When all those problems are fixed, we get a nice sawtooth.

Code: Select all

x = 970, y = 1429, rule = B3/S23
21b2o$21b2o17$26b2o$25bo2bo$25bobo$23b2o2b2o$22bo2b2o$22b2o3b2o$27bo$
28bo$25b3o$25bo6$42b2o$42b2o3$27b2o$27bobo$29bo$29b2o4$48b2o$48bo$46bo
bo$29b2o15b2o$29b2o3$46b2o$46bobo$48bo$48b2o3$50b2o$45b2o2bo2bo$45bobo
2b2o$30b2o16b2o$31bo17bo$28b3o15bo2bob2o$28bo16bobob2obo$46bobo$47bo2b
2o$48b2ob3o$54bo$48b2ob3o27bo$48b2obo18b2o7b3o$65bo5bo6bo$40b2o23b3o3b
obo4b2o$31b2o7b2o26bo3b2o$32bo34b2o$32bobo$33b2o57bo$90b3o$89bo$89b2o$
53b2o$53b2o$88b2o$88b2o3$38bo$37bobo$37bobo30b2o$38bo32bo$35b3o30b3o$
35bo32bo26b2o$90b2o2bo2bo$90bobo2b2o$75b2o16b2o$11b2o63bo17bo$11b2o60b
3o15bo2bob2o$73bo16bobob2obo$91bobo$92bo2b2o$2o91b2ob3o$bo23b2o72bo$bo
bo21bo67b2ob3o$2b2o19bobo67b2obo$23b2o10bo$35b3o47b2o$38bo37b2o7b2o$
37b2o38bo$52b2o23bobo$2b2o48bo25b2o$bobo45b2obo$bo46bo2bo$2o47b2o$34b
2o62b2o$34b2o62b2o3$11b2o$11b2o8b2o3bo$21bo3bobo55bo$22bo3bobo53bobo$
23bo3bobob2o49bobo$21bob4o2bob2o50bo$20bobo3bobo51b3o$20bobo2bo2b2ob2o
47bo$21bo3b2o2bobo$29bobo10b2o$30bo11b2o8$102b2o11bo$102b2o10bobo$114b
obo2b2o3bo$113b2ob2o2bo2bobo$117bobo3bobo12b2o$113b2obo2b4obo13bo$113b
2obobo3bo13bobo$117bobo3bo12b2o$118bobo3bo$119bo3b2o$144b2o$145bo$145b
obo$110b2o34b2o$110b2o$95b2o$55b2o37bo2bo$33b2o20bo37bob2o70b2o$34bo
18bobo37bo73b2o$34bobo16b2o37b2o$35b2o12bo57b2o$48bobo56bo$48bobo57b3o
24b2o$49bo60bo11b2o11b2o$123bo$61b2o57b3o$61bo58bo$59bobo$59b2o78b2o$
140bo$137b3o$38b2o97bo$39bo117b2o$39bobo115b2o$40b2o3$53b2obo60bo$53b
2ob3o47b2o7b3o$59bo41bo5bo6bo$53b2ob3o42b3o3bobo4b2o$54bobo47bo3b2o$
54bobo46b2o$55bo$31b2o95bo$30bo2bo2b2o88b3o$31b2o2bobo13b2o72bo$33b2o
16bobo71b2o$33bo19bo8b2o$30b2obo2bo16b2o7b2o$30bob2obobo86b2o$34bobo
87b2o$31b2o2bo$29b3ob2o16b2o$28bo23bo23b2o$29b3ob2o17bobo21bo$31bob2o
18b2o19bobo29b2o$74b2o10bo20bo$41b2o43b3o15b3o$41b2o7b2o37bo13bo27b2o$
50bo37b2o14bo21b2o2bo2bo$48bobo52b2o21bobo2b2o$48b2o3b2o48bo7b2o16b2o$
52bobo45b2obo8bo17bo$52bo46bo2bo6b3o15bo2bob2o$51b2o47b2o7bo16bobob2ob
o$28b2o55b2o40bobo$28b2o55b2o41bo2b2o$129b2ob3o$135bo36b2o11bo$62b2o
65b2ob3o37b2o10bobo$62b2o8b2o3bo51b2obo51bobo2b2o3bo$44bo27bo3bobo104b
2ob2o2bo2bobo$43bobo27bo3bobo41b2o64bobo3bobo12b2o$43bobo28bo3bobob2o
28b2o7b2o60b2obo2b4obo13bo$44bo27bob4o2bob2o29bo69b2obobo3bo13bobo$45b
3o23bobo3bobo33bobo71bobo3bo12b2o$47bo23bobo2bo2b2ob2o30b2o72bobo3bo$
72bo3b2o2bobo106bo3b2o$80bobo10b2o119b2o$81bo11b2o120bo$134b2o79bobo$
134b2o44b2o34b2o$180b2o$165b2o$164bo2bo$163bob2o70b2o$119bo43bo73b2o$
118bobo41b2o$118bobo56b2o$119bo57bo$116b3o59b3o24b2o$116bo63bo11b2o11b
2o$193bo$190b3o$190bo2$209b2o$210bo$207b3o$207bo$227b2o$227b2o2$106b2o
$106bo$104bobo$104b2o$100bo$99bobo$99bobo$100bo2$112b2o$112bo$110bobo$
110b2o3$89b2o$90bo$90bobo$91b2o3$104b2obo$104b2ob3o64b2o$110bo63b2o$
104b2ob3o$105bobo$105bobo$106bo$82b2o$81bo2bo2b2o$82b2o2bobo13b2o$84b
2o16bobo$84bo19bo8b2o74b2o$81b2obo2bo16b2o7b2o74b2o$81bob2obobo$85bobo
$82b2o2bo$80b3ob2o16b2o$79bo23bo23b2o$80b3ob2o17bobo21bo$82bob2o18b2o
19bobo61b2o$125b2o10bo46b2o2bo2bo$92b2o43b3o44bobo2b2o$92b2o7b2o37bo
28b2o16b2o$101bo37b2o29bo17bo$99bobo52b2o11b3o15bo2bob2o$99b2o3b2o48bo
12bo16bobob2obo$103bobo45b2obo30bobo$103bo46bo2bo32bo2b2o$102b2o47b2o
34b2ob3o$79b2o55b2o55bo$79b2o55b2o49b2ob3o$187b2obo2$113b2o64b2o$113b
2o8b2o3bo41b2o7b2o$95bo27bo3bobo41bo$94bobo27bo3bobo40bobo$94bobo28bo
3bobob2o37b2o$95bo27bob4o2bob2o$96b3o23bobo3bobo$98bo23bobo2bo2b2ob2o$
123bo3b2o2bobo58b2o$131bobo10b2o46b2o$132bo11b2o4$177bo$176bobo$176bob
o$177bo$174b3o$174bo17$159b2o$159bo$157bobo$157b2o$153bo$152bobo$152bo
bo$153bo2$165b2o$165bo$163bobo$163b2o3$142b2o$143bo$143bobo$144b2o3$
157b2obo$157b2ob3o$163bo$157b2ob3o$158bobo$158bobo$159bo$135b2o$134bo
2bo2b2o$135b2o2bobo13b2o$137b2o16bobo$137bo19bo$134b2obo2bo16b2o$134bo
b2obobo$138bobo$135b2o2bo$133b3ob2o$132bo$133b3ob2o$135bob2o2$145b2o$
145b2o7b2o$154bo$152bobo$152b2o4$132b2o$132b2o5$148bo$147bobo$147bobo$
148bo$149b3o$151bo359$947b2o$947b2o4$940b2o$939bob3o2b2o$940bo2bobobo$
947bo$941b2ob3o8b2o$941b2o2bo9bo$943bo9bobo$953b2o2$936bo$935bo$935b3o
8$936b2o$936b2o2$939b2o$912b2o25b2o$912b2o2$936b2o$904bo7bo23b2o$903bo
bo5bobo$904bo8b2o$907b6o$906bo4bo$906b2ob2o$906bo4bo8bo$907b2ob2o6bobo
9b2o$902b2o3bo3bo7b2o9b2o$901bobo4b3o$901bo$900b2o13b2o22bo$915bo22bob
o$908b2o6b3o20bo$908b2o8bo2$914b2o$914b2o19b2o$935b2o$940b2o$906bo33bo
bo$905bobo34bo$906bo20b2o13b2o$928bo$925b3o6b2o$925bo8b2o$909b2o$909b
2o$904b2o27b2o$903bobo27b2o$903bo$902b2o13b2o$917bo24bo$910b2o6b3o20bo
bo$910b2o8bo21bo4$938b2o$938b2o$943b2o$943bobo$945bo$930b2o13b2o$931bo
$928b3o6b2o$918bo9bo8b2o$917bo$917b3o3$637b2o$637bo$635bobo$635b2o$
851bo$851b3o71bo$854bo7b2o59b3o$841b2o10b2o7b2o49b2o7bo$842bo70b2o7b2o
10b2o$842bobo89bo$828b2o13b2o87bobo$828b2o102b2o13b2o$947b2o2$822b2o$
822b2o129b2o$826b2o125b2o$826b2o121b2o$949b2o2$857b2o$821b2o34bo13bobo
bobo40b2o$821b2o35b3o9bob2ob2obo20bobobobo13bo34b2o$860bo9bo3bo3bo19bo
b2ob2obo9b3o35b2o$869b2o3bob2o11b2o7bo3bo3bo9bo$875bo12bobo8b2obo3b2o$
873bobo12bo12bo$845b2o26b2o12b2o12bobo$840b2o2bo2bo31b2o21b2o26b2o$
840bobo2b2o31bobo48bo2bo2b2o$843b2o33bo51b2o2bobo$844bo29bo2b2o53b2o$
841bo2bob2o24b3o57bo$840bobob2obo23bo57b2obo2bo$841bobo26bobo56bob2obo
bo10b2o$842bo2b2o23bobo27b2o31bobo11bo$843b2ob3o22bo28bobo27b2o2bo13b
3o$849bo52bo25b3ob2o16bo$843b2ob3o53b2o23bo$843b2obo81b3ob2o$930bob2o$
835b2o18b2o$706b2o118b2o7b2o18b2o83b2o$706bo120bo112b2o7b2o$704bobo
120bobo119bo$704b2o122b2o117bobo$875b2o70b2o$875bobo$877bo17b2o11bo$
848b2o18b2o7b2o16b2o10bobo$848b2o18b2o37bobo2b2o3bo9b2o$906b2ob2o2bo2b
obo8b2o$858bob2o48bobo3bobo$856b3ob2o44b2obo2b4obo$855bo50b2obobo3bo$
833bo22b3ob2o48bobo3bo15b2o$832bobo23b2o2bo48bobo3bo14bo10bo$832bobo
26bobo48bo3b2o12bobo9bobo$833bo23bob2obobo16bo44b2o2b2o10bobo20b2o$
830b3o24b2obo2bo15b3o44b2o15bo21bo$830bo29bo17bo65b3ob2o17bo$860b2o16b
2o23b2o41bobo14b5o$858b2o2bobo38b2o43bo13bo$857bo2bo2b2o23b2o58bobo12b
3o$858b2o27bo2bo45b2o11b2o15bo$886bob2o46bo26b4o$886bo47bobo21b2o3bo3b
2o$857b2o26b2o47b2o22b2o4b3o2bo$858bo41b2o64bob2o$858bobo39bo65bo$859b
2o40b3o61b2o$856bo46bo10b2o$854b3o56bobo$794b2o57bo59bo43b2o$795bo56bo
bo57b2o43bo$793bo58bobo50bo23b2o27b3o$793b5o14b2o39bo51b3o21bo30bo$
798bo13bo95bo21b3o$795b3o12bobo94b2o23bo$794bo15b2o$794b4o$792b2o3bo3b
2o34b2o34b2o24b2o$791bo2b3o4b2o34b2o34b2o24bo$791b2obo101b2obo$794bo
101bo2b3o4b2o$794b2o101b2o3bo3b2o$857b2o40b4o$857bobo39bo15b2o$802b2o
55bo40b3o12bobo2b2o$803bo46b2o7b2o42bo13bo2bo$800b3o47b2o46b5o14b3o2bo
$800bo97bo21b3o$840bob2o56bo18bo$838b3ob2o55b2o18b2o$837bo$838b3ob2o$
840bobo$840bobo$841bo2$840bo68b2o$840b3o65bobo5b2o$843bo64bo7b2o$842b
2o63b2o$850b2o$850b2o69bo$917b2obobo$916bobobobo$913bo2bobobobob2o$
913b4ob2o2bo2bo$917bo4b2o$861b2o52bobo$861bo53b2o$859bobo$859b2o7$861b
2o$861b2o3$841b2o$842bo13b2o$839b3o14bobo$839bo18bo$858b2o4$844bo$842b
3o$841bo$841b2o3$840bo$841bo3bo$836b2o3bo4bo5b2o$836bo3bo2bo2bo5b2o$
778bo57bobo3b4o$778b3o56b2o3b2o4b2o$781bo66b2o$780b2o6bo10bo$787bobo9b
3o$788bo13bo$801b2o6bo15b2o$782b2o24bobo14b2o$775b2o5b2o25bo$775b2o44b
2o5b2o$821b2o5b2o$796b2o$792b2o2b2o6b2o$792b2o10b2o$832bo$777b2o34b2o
17bobo$776bobo34b2o17b2o$776bo$775b2o21b2o$797bobo$797bo$796b2o5$763b
2o22b2o$764bo23bo$764bobo21bobo16b2o$765b2o22b2o17bo$808bobo$780b2o22b
2o3b2o$780b2o22b2o$824b2o$771b2o22b2o27b2o$763b2o6b2o14b2o6b2o$763b2o
22b2o26b2o$807b2o6b2o$807b2o$776bo23bo$775bobo21bobo$768b2o6bo15b2o6bo
19bo$769bo23bo25bobo$766b3o21b3o19b2o6bo$766bo23bo22bo$810b3o$810bo
116$433bo$431b5o14b2o$430bo5bo13bo$430bo2b3o12bobo$429b2obo15b2o$429bo
2b4o$430b2o3bo3b2o$432b3o4b2o$432bo$429b2obo$429b2ob2o3$440b2o$441bo$
438b3o$438bo$482bo$482b3o$485bo$484b2o10bo$495bobo$495bobo$473bo20b2ob
3o$473b3o24bo$476bo17b2ob3o6bo$475b2o17b2obo6b3o$503bo$503b2o11bo$478b
2o36b3o$477bo2bo38bo$478b2o38b2o$533b2o$533bo$530b2obo$529bo2bo$530b2o
$515b2o$490b2o23b2o$491bo$488b3o$488bo$502b2o3bo$502bo3bobo$503bo3bobo
$504bo3bobob2o$502bob4o2bob2o$501bobo3bobo$501bobo2bo2b2ob2o$502bo3b2o
2bobo$510bobo10b2o$511bo11b2o133$138bo$136b5o14b2o$135bo5bo13bo$135bo
2b3o12bobo$134b2obo15b2o$134bo2b4o$135b2o3bo3b2o$137b3o4b2o$137bo$134b
2obo$134b2ob2o3$145b2o$146bo$143b3o$143bo70$237bo$237b3o$240bo$239b2o
7$249b2o$242b2o5bobo$242b2o7bo$251b2o2$238bo$237bobob2o$237bobobobo$
236b2obobobo2bo$237bo2b2ob4o$237bo4bo$238b3obo2b2o$240b2o3b2o!
EDIT Thinking of it a little bit more - we can bring it all to single glider gun + stable circuit which doesn't need any adjustment.

The difference between the emitter and the regulator is semi snark, and what we need to do with the period adjustments so that it will remain stable - is block factory. We'll destroy and place a block, every time the destroying glider misses the "direct" hit. We obviously need 2 such block factories as mentioned above for the skipping case. I'll try to build this stable circuitry later on.

EDIT2 Here is the idea above implemented - works with single block regulator, not sure why. The large distance is also pointless:

Code: Select all

x = 498, y = 568, rule = B3/S23
21b2o$21b2o17$26b2o$25bo2bo$25bobo$23b2o2b2o$22bo2b2o$22b2o3b2o$27bo$
28bo$25b3o$25bo6$42b2o$42b2o3$27b2o$27bobo$29bo$29b2o4$48b2o$48bo$46bo
bo$29b2o15b2o$29b2o3$46b2o$46bobo$48bo$48b2o3$50b2o$45b2o2bo2bo$45bobo
2b2o$30b2o16b2o$31bo17bo$28b3o15bo2bob2o$28bo16bobob2obo$46bobo$47bo2b
2o$48b2ob3o$54bo$48b2ob3o27bo$48b2obo18b2o7b3o$65bo5bo6bo$40b2o23b3o3b
obo4b2o$31b2o7b2o26bo3b2o$32bo34b2o$32bobo$33b2o57bo$90b3o$89bo$89b2o$
53b2o$53b2o$88b2o$88b2o3$38bo$37bobo$37bobo30b2o$38bo32bo$35b3o30b3o$
35bo32bo26b2o$90b2o2bo2bo$90bobo2b2o$75b2o16b2o$11b2o63bo17bo$11b2o60b
3o15bo2bob2o$73bo16bobob2obo$91bobo$92bo2b2o$2o91b2ob3o$bo23b2o72bo$bo
bo21bo67b2ob3o$2b2o19bobo67b2obo$23b2o10bo$35b3o47b2o$38bo37b2o7b2o$
37b2o38bo$52b2o23bobo$2b2o48bo25b2o$bobo45b2obo$bo46bo2bo$2o47b2o$34b
2o62b2o$34b2o62b2o3$11b2o$11b2o8b2o3bo$21bo3bobo55bo$22bo3bobo53bobo$
23bo3bobob2o49bobo$21bob4o2bob2o50bo$20bobo3bobo51b3o$20bobo2bo2b2ob2o
47bo$21bo3b2o2bobo$29bobo10b2o$30bo11b2o8$102b2o11bo$102b2o10bobo$114b
obo2b2o3bo$113b2ob2o2bo2bobo$117bobo3bobo12b2o$113b2obo2b4obo13bo$113b
2obobo3bo13bobo$117bobo3bo12b2o$118bobo3bo$119bo3b2o$144b2o$145bo$145b
obo$110b2o34b2o$110b2o$95b2o$55b2o37bo2bo$33b2o20bo37bob2o70b2o$34bo
18bobo37bo73b2o$34bobo16b2o37b2o$35b2o12bo57b2o$48bobo56bo$48bobo57b3o
24b2o$49bo60bo11b2o11b2o$123bo$61b2o57b3o$61bo58bo$59bobo$59b2o78b2o$
140bo$137b3o$38b2o97bo$39bo117b2o$39bobo115b2o$40b2o3$53b2obo60bo$53b
2ob3o47b2o7b3o$59bo41bo5bo6bo$53b2ob3o42b3o3bobo4b2o$54bobo47bo3b2o$
54bobo46b2o$55bo$31b2o95bo$30bo2bo2b2o88b3o$31b2o2bobo13b2o72bo$33b2o
16bobo71b2o$33bo19bo8b2o$30b2obo2bo16b2o7b2o$30bob2obobo86b2o$34bobo
87b2o$31b2o2bo$29b3ob2o16b2o$28bo23bo23b2o$29b3ob2o17bobo21bo$31bob2o
18b2o19bobo29b2o$74b2o10bo20bo$41b2o43b3o15b3o$41b2o7b2o37bo13bo27b2o$
50bo37b2o14bo21b2o2bo2bo$48bobo52b2o21bobo2b2o$48b2o3b2o48bo7b2o16b2o$
52bobo45b2obo8bo17bo$52bo46bo2bo6b3o15bo2bob2o$51b2o47b2o7bo16bobob2ob
o$28b2o55b2o40bobo$28b2o55b2o41bo2b2o$129b2ob3o$135bo36b2o11bo$62b2o
65b2ob3o37b2o10bobo$62b2o8b2o3bo51b2obo51bobo2b2o3bo$44bo27bo3bobo104b
2ob2o2bo2bobo$43bobo27bo3bobo41b2o64bobo3bobo12b2o$43bobo28bo3bobob2o
28b2o7b2o60b2obo2b4obo13bo$44bo27bob4o2bob2o29bo69b2obobo3bo13bobo$45b
3o23bobo3bobo33bobo71bobo3bo12b2o$47bo23bobo2bo2b2ob2o30b2o72bobo3bo$
72bo3b2o2bobo106bo3b2o$80bobo10b2o119b2o$81bo11b2o120bo$134b2o79bobo$
134b2o44b2o34b2o$180b2o$165b2o$164bo2bo$163bob2o70b2o$119bo43bo73b2o$
118bobo41b2o$118bobo56b2o$119bo57bo$116b3o59b3o24b2o$116bo63bo11b2o11b
2o$193bo$190b3o$190bo2$209b2o$210bo$207b3o$207bo$227b2o$227b2o2$106b2o
$106bo$104bobo$104b2o$100bo$99bobo$99bobo$100bo2$112b2o$112bo$110bobo$
110b2o3$89b2o$90bo$90bobo$91b2o3$104b2obo$104b2ob3o64b2o$110bo63b2o$
104b2ob3o$105bobo$105bobo$106bo$82b2o$81bo2bo2b2o$82b2o2bobo13b2o$84b
2o16bobo$84bo19bo8b2o74b2o$81b2obo2bo16b2o7b2o74b2o$81bob2obobo$85bobo
$82b2o2bo$80b3ob2o16b2o$79bo23bo23b2o346b2o$80b3ob2o17bobo21bo347b2o$
82bob2o18b2o19bobo61b2o$125b2o10bo46b2o2bo2bo$92b2o43b3o44bobo2b2o281b
2o$92b2o7b2o37bo28b2o16b2o283b2o$101bo37b2o29bo17bo280bo$99bobo52b2o
11b3o15bo2bob2o276b3o4b2o$99b2o3b2o48bo12bo16bobob2obo275bo2b2o3b2o$
103bobo45b2obo30bobo279b3obo11b2o$103bo46bo2bo32bo2b2o279b2o11bo$102b
2o47b2o34b2ob3o288bobo$79b2o55b2o55bo272bo14b2o$79b2o55b2o49b2ob3o272b
o$187b2obo274b3o2$113b2o64b2o$113b2o8b2o3bo41b2o7b2o$95bo27bo3bobo41bo
$94bobo27bo3bobo40bobo$94bobo28bo3bobob2o37b2o$95bo27bob4o2bob2o$96b3o
23bobo3bobo$98bo23bobo2bo2b2ob2o$123bo3b2o2bobo58b2o270b2o$131bobo10b
2o46b2o270b2o$132bo11b2o$467b2o$440b2o25b2o$440b2o$177bo262b2o$176bobo
285b2o$176bobo253bo31b2o$177bo253bobo6bobo$174b3o255bo6bobobo$174bo
268b2o$437bo5bo2bo$436bo4bo4bo$435b3o3bo4b2o$435bo2bo19b2o$430b2o7bo2b
o15b2o$429bobo9bo$429bo$428b2o13b2o22bo$443bo22bobo$436b2o6b3o20bo$
436b2o8bo2$442b2o$442b2o19b2o$463b2o$468b2o$159b2o273bo33bobo$159bo
273bobo34bo$157bobo274bo20b2o13b2o$157b2o297bo$153bo299b3o6b2o$152bobo
298bo8b2o$152bobo282b2o$153bo283b2o$432b2o27b2o$165b2o264bobo27b2o$
165bo265bo$163bobo264b2o13b2o$163b2o280bo24bo$438b2o6b3o20bobo$438b2o
8bo21bo$142b2o$143bo$143bobo$144b2o320b2o$466b2o$471b2o$157b2obo310bob
o$157b2ob3o310bo$163bo294b2o13b2o$157b2ob3o285bo10bo$158bobo286bo8b3o
6b2o$158bobo286b3o6bo8b2o$159bo$135b2o$134bo2bo2b2o$135b2o2bobo13b2o$
137b2o16bobo$137bo19bo$134b2obo2bo16b2o$134bob2obobo$138bobo238bo$135b
2o2bo68bo170b3o71bo$133b3ob2o67b3o173bo7b2o59b3o$132bo72bo163b2o10b2o
7b2o49b2o7bo$133b3ob2o66b2o163bo70b2o7b2o10b2o$135bob2o231bobo89bo$
356b2o13b2o87bobo$145b2o209b2o102b2o13b2o$145b2o7b2o319b2o$154bo$152bo
bo195b2o$152b2o196b2o129b2o$354b2o125b2o$354b2o121b2o$477b2o$132b2o$
132b2o251b2o$349b2o34bo13bobobobo40b2o$349b2o35b3o9bob2ob2obo20bobobob
o13bo34b2o$388bo9bo3bo3bo19bob2ob2obo9b3o35b2o$154b3o240b2o3bob2o11b2o
7bo3bo3bo9bo$148bo5bo248bo12bobo8b2obo3b2o$147bobo5bo245bobo12bo12bo$
147bobo223b2o26b2o12b2o12bobo$148bo219b2o2bo2bo31b2o21b2o26b2o$149b3o
216bobo2b2o31bobo48bo2bo2b2o$151bo219b2o33bo51b2o2bobo$372bo29bo2b2o
53b2o$369bo2bob2o24b3o57bo$368bobob2obo23bo57b2obo2bo$369bobo26bobo56b
ob2obobo10b2o$370bo2b2o23bobo27b2o31bobo11bo$371b2ob3o22bo28bobo27b2o
2bo13b3o$377bo52bo25b3ob2o16bo$187b2o182b2ob3o53b2o23bo$187bo183b2obo
81b3ob2o$185bobo270bob2o$185b2o176b2o18b2o$354b2o7b2o18b2o83b2o$355bo
112b2o7b2o$355bobo119bo$159b2o195b2o117bobo$160bo22b2o218b2o70b2o$157b
3o23bo219bobo$157bo26b3o218bo17b2o11bo$186bo189b2o18b2o7b2o16b2o10bobo
$376b2o18b2o37bobo2b2o3bo9b2o$434b2ob2o2bo2bobo8b2o$386bob2o48bobo3bob
o$384b3ob2o44b2obo2b4obo$165b2o216bo50b2obobo3bo$166bo194bo22b3ob2o48b
obo3bo15b2o$163b3o194bobo23b2o2bo48bobo3bo14bo10bo$163bo196bobo26bobo
48bo3b2o12bobo9bobo$361bo23bob2obobo16bo44b2o2b2o10bobo20b2o$358b3o24b
2obo2bo15b3o44b2o15bo21bo$358bo29bo17bo65b3ob2o17bo$181b2o205b2o16b2o
23b2o41bobo14b5o$157bo23bobo202b2o2bobo38b2o43bo13bo$157b3o23bo201bo2b
o2b2o23b2o58bobo12b3o$160bo22b2o201b2o27bo2bo45b2o11b2o15bo$159b2o14b
2o237bob2o46bo26b4o$175b2o237bo47bobo21b2o3bo3b2o$385b2o26b2o47b2o22b
2o4b3o2bo$386bo41b2o64bob2o$386bobo39bo65bo$387b2o40b3o61b2o$384bo46bo
10b2o$382b3o56bobo$322b2o57bo59bo43b2o$323bo56bobo57b2o43bo$321bo58bob
o50bo23b2o27b3o$156b2o163b5o14b2o39bo51b3o21bo30bo$155bo2bo2b2o163bo
13bo95bo21b3o$156b2o2bobo13b2o145b3o12bobo94b2o23bo$158b2o16bobo143bo
15b2o$158bo19bo143b4o$155b2obo2bo16b2o140b2o3bo3b2o34b2o34b2o24b2o$
155bob2obobo156bo2b3o4b2o34b2o34b2o24bo$159bobo157b2obo101b2obo$156b2o
2bo36b2o3b2o118bo101bo2b3o4b2o$154b3ob2o35b3obo2b2o118b2o101b2o3bo3b2o
$153bo40bo4bo185b2o40b4o$116bo37b3ob2o34bo2b2ob4o181bobo39bo15b2o$114b
5o14b2o21bob2o33b2obobobo2bo126b2o55bo40b3o12bobo2b2o$113bo5bo13bo60bo
bobobo130bo46b2o7b2o42bo13bo2bo$113bo2b3o12bobo32b2o26bobob2o128b3o47b
2o46b5o14b3o2bo$112b2obo15b2o33b2o7b2o18bo132bo97bo21b3o$112bo2b4o56bo
192bob2o56bo18bo$113b2o3bo3b2o49bobo32b2o156b3ob2o55b2o18b2o$115b3o4b
2o49b2o24b2o7bo156bo$115bo83b2o5bobo157b3ob2o$112b2obo90b2o160bobo$
112b2ob2o251bobo$153b2o214bo$153b2o25bo$123b2o55b3o185bo68b2o$124bo58b
o184b3o65bobo5b2o$121b3o58b2o187bo64bo7b2o$121bo74b2o172b2o63b2o$169bo
27bo180b2o$168bobo23b3o181b2o69bo$168bobo23bo250b2obobo$169bo48bo225bo
bobobo$170b3o27b2o14b5o220bo2bobobobob2o$172bo19b2o7bo13bo5bo219b4ob2o
2bo2bo$185b2o5bobo6bobo12b3o2bo223bo4b2o$185b2o7bo7b2o15bob2o166b2o52b
obo$194b2o20b4o2bo166bo53b2o$211b2o3bo3b2o165bobo$181bo29b2o4b3o167b2o
$180bobob2o33bo$180bobobobo32bob2o$179b2obobobo2bo28b2ob2o$180bo2b2ob
4o$180bo4bo$181b3obo2b2o20b2o$183b2o3b2o20bo178b2o$211b3o175b2o$213bo
2$369b2o$370bo13b2o$367b3o14bobo$367bo18bo$386b2o4$372bo$370b3o$369bo$
369b2o2$194b2o$194bo$192bobo175b2o$192b2o174b2ob2o3b6o$188bo179bo2bo6b
4o$187bobo116bo61bo2bo3bob2o$187bobo116b3o60b2o4b2o$188bo120bo$308b2o
6bo10bo$200b2o113bobo9b3o$200bo115bo13bo$198bobo128b2o6bo15b2o$198b2o
110b2o24bobo14b2o$303b2o5b2o25bo$303b2o44b2o5b2o$177b2o170b2o5b2o$178b
o145b2o$178bobo139b2o2b2o6b2o28bo$179b2o139b2o10b2o28bobo$362b2o$305b
2o34b2o$192b2obo108bobo34b2o$192b2ob3o106bo$198bo104b2o21b2o$192b2ob3o
127bobo$193bobo129bo$193bobo128b2o$194bo$170b2o$169bo2bo2b2o$170b2o2bo
bo13b2o$172b2o16bobo98b2o22b2o$172bo19bo99bo23bo$169b2obo2bo16b2o98bob
o21bobo16b2o$169bob2obobo116b2o22b2o17bo$173bobo160bobo$170b2o2bo133b
2o22b2o3b2o$168b3ob2o134b2o22b2o$167bo184b2o$168b3ob2o149b2o27b2o$170b
ob2o117b2o22b2o6b2o$291b2o5b2o15b2o26b2o$180b2o116b2o35b2o6b2o$180b2o
7b2o144b2o$189bo114bo23bo$187bobo113bobo21bobo$187b2o107b2o6bo15b2o6bo
19bo$297bo23bo25bobo$191bo102b3o21b3o19b2o6bo$191b3o100bo23bo22bo$167b
2o25bo143b3o$167b2o24b2o143bo5$183bo$182bobo$182bobo18b2o$183bo12b2o5b
obo$184b3o9b2o7bo$186bo18b2o2$192bo$191bobob2o$191bobobobo$190b2obobob
o2bo$191bo2b2ob4o$191bo4bo$192b3obo2b2o$194b2o3b2o!
Now for aesthetic reasons only we need to combine the two guns into single one + duplicator.

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » April 29th, 2016, 1:37 pm

A stable circuit sawtooth (i.e. just attach a gun) - a project started by dvgrn is now finished!

An example of 1178 gun (the marked glider is the gun output glider):

Code: Select all

x = 614, y = 613, rule = LifeHistory
21.2A$21.2A17$26.2A$25.A2.A$25.A.A$23.2A2.2A$22.A2.2A$22.2A3.2A$27.A$
28.A$25.3A$25.A6$42.2A$42.2A3$27.2A$27.A.A$29.A$29.2A4$48.2A$48.A$46.
A.A$29.2A15.2A$29.2A3$46.2A$46.A.A$48.A$48.2A3$50.2A$45.2A2.A2.A$45.A
.A2.2A$30.2A16.2A$31.A17.A$28.3A15.A2.A.2A$28.A16.A.A.2A.A$46.A.A$47.
A2.2A$48.2A.3A$54.A$48.2A.3A27.A$48.2A.A18.2A7.3A$65.A5.A6.A$40.2A23.
3A3.A.A4.2A$31.2A7.2A26.A3.2A$32.A34.2A$32.A.A$33.2A57.A$90.3A$89.A$
89.2A$53.2A$53.2A$88.2A$88.2A3$38.A$37.A.A$37.A.A30.2A$38.A32.A$35.3A
30.3A$35.A32.A26.2A$90.2A2.A2.A$90.A.A2.2A$75.2A16.2A$11.2A63.A17.A$
11.2A60.3A15.A2.A.2A$73.A16.A.A.2A.A$91.A.A$92.A2.2A$2A91.2A.3A$.A23.
2A72.A$.A.A21.A67.2A.3A$2.2A19.A.A67.2A.A$23.2A10.A$35.3A47.2A$38.A
37.2A7.2A$37.2A38.A$52.2A23.A.A$2.2A48.A25.2A$.A.A45.2A.A$.A46.A2.A$
2A47.2A$34.2A62.2A$34.2A62.2A3$11.2A$11.2A8.2A3.A$21.A3.A.A55.A$22.A
3.A.A53.A.A$23.A3.A.A.2A49.A.A$21.A.4A2.A.2A50.A$20.A.A3.A.A51.3A492.
A.2A$20.A.A2.A2.2A.2A47.A494.2A.A$21.A3.2A2.A.A$29.A.A10.2A529.5A$30.
A11.2A529.A4.A$576.A2.A.2A$548.A27.2A.A.A$548.3A10.2A10.A5.A.A$551.A
9.2A9.A.A4.A.2A$540.2A8.2A20.A2.A2.2A.A$541.A31.2A6.A$541.A.A37.3A$
102.2A11.A426.2A40.A23.2A$102.2A10.A.A466.2A23.A$114.A.A2.2A3.A481.A.
A$113.2A.2A2.A2.A.A412.2A62.2A2.2A$117.A.A3.A.A12.2A398.A.A.2A58.2A$
113.2A.A2.4A.A13.A401.A.2A$113.2A.A.A3.A13.A.A400.A$117.A.A3.A12.2A
401.2A.2A$118.A.A3.A415.A.A30.2A$119.A3.2A415.A.A30.2A$144.2A395.A$
145.A$145.A.A$110.2A34.2A$110.2A$95.2A473.2A36.2A$55.2A37.A2.A472.A3.
A15.2A16.A.A$33.2A20.A37.A.2A70.2A402.4A14.A.A18.A$34.A18.A.A37.A73.
2A420.A20.2A$34.A.A16.2A37.2A479.4A11.2A4.2A$35.2A12.A57.2A463.A3.A
16.A.A$48.A.A56.A464.2A19.A$48.A.A57.3A24.2A455.2A7.2A$49.A60.A11.2A
11.2A464.2A$123.A424.A$61.2A57.3A425.3A$61.A58.A430.A$59.A.A488.2A$
59.2A78.2A431.2A2.2A$140.A431.A.A2.A$137.3A434.2A35.2A$38.2A97.A436.A
36.A$39.A117.2A390.2A18.2A.A.A34.A.A$39.A.A115.2A389.A.A18.2A.2A35.2A
$40.2A506.A$547.2A20.2A.2A$570.A.A$53.2A.A60.A452.A.A18.A$53.2A.3A47.
2A7.3A449.2A.2A19.3A$59.A41.A5.A6.A452.A.A24.A$53.2A.3A42.3A3.A.A4.2A
453.A23.2A$54.A.A47.A3.2A459.2A$54.A.A46.2A$55.A$31.2A95.A$30.A2.A2.
2A88.3A$31.2A2.A.A13.2A72.A$33.2A16.A.A71.2A461.2A$33.A19.A8.2A483.2A
40.A$30.2A.A2.A16.2A7.2A482.A.A40.A.A$30.A.2A.A.A86.2A420.A43.2A$34.A
.A87.2A419.2A$31.2A2.A$29.3A.2A16.2A551.2A$28.A23.A23.2A526.A.A$29.3A
.2A17.A.A21.A529.A$31.A.2A18.2A19.A.A29.2A498.2A$74.2A10.A20.A$41.2A
43.3A15.3A448.2A$41.2A7.2A37.A13.A27.2A422.2A29.A.2A$50.A37.2A14.A21.
2A2.A2.A452.2A.A$48.A.A52.2A21.A.A2.2A429.A.2A$48.2A3.2A48.A7.2A16.2A
431.2A.A29.2A$52.A.A45.2A.A8.A17.A464.2A$52.A46.A2.A6.3A15.A2.A.2A$
51.2A47.2A7.A16.A.A.2A.A410.2A$28.2A55.2A40.A.A415.A$28.2A55.2A41.A2.
2A412.A.A$129.2A.3A411.2A$135.A36.2A11.A365.3A$62.2A65.2A.3A37.2A10.A
.A363.A2.A51.2A$62.2A8.2A3.A51.2A.A51.A.A2.2A3.A354.A4.A5.2A43.A$44.A
27.A3.A.A104.2A.2A2.A2.A.A355.A8.A.A40.A.A$43.A.A27.A3.A.A41.2A64.A.A
3.A.A12.2A352.A40.2A$43.A.A28.A3.A.A.2A28.2A7.2A60.2A.A2.4A.A13.A343.
2A8.2A$44.A27.A.4A2.A.2A29.A69.2A.A.A3.A13.A.A342.A.A$45.3A23.A.A3.A.
A33.A.A71.A.A3.A12.2A343.A.A$47.A23.A.A2.A2.2A.2A30.2A72.A.A3.A$72.A
3.2A2.A.A106.A3.2A$80.A.A10.2A119.2A$81.A11.2A120.A326.C.C.C.C.C30.2A
$134.2A79.A.A339.2A23.A$134.2A44.2A34.2A324.C7.C6.A24.A.A$180.2A364.C
11.3A19.2A.2A$165.2A375.C2.C4.C9.A18.A.A$164.A2.A377.3C31.A.A$163.A.
2A70.2A303.C7.C27.2A.2A20.2A$119.A43.A73.2A364.A$118.A.A41.2A378.C.C.
C.C.C27.2A.2A18.A.A$118.A.A56.2A398.A.A.2A18.2A$119.A57.A399.A$116.3A
59.3A24.2A369.2A$116.A63.A11.2A11.2A367.A2.A.A$193.A380.2A2.2A$190.3A
407.2A$190.A409.A$601.3A$209.2A392.A$210.A338.2A$207.3A339.2A7.2A$
207.A350.A19.2A$227.2A327.A.A16.A3.A$227.2A327.2A4.2A11.4A$540.2A20.A
$106.2A433.A18.A.A14.4A$106.A434.A.A16.2A15.A3.A$104.A.A435.2A36.2A$
104.2A$100.A$99.A.A$99.A.A$100.A509.A$577.2A30.A.A$112.2A463.2A30.A.A
$112.A495.2A.2A$110.A.A499.A$110.2A496.2A.A$548.2A58.2A.A.A$544.2A2.
2A62.2A$89.2A452.A.A$90.A452.A23.2A$90.A.A449.2A23.A40.2A$91.2A475.3A
37.A.A$570.A6.2A31.A$570.A.2A2.A2.A20.2A8.2A$104.2A.A461.2A.A4.A.A9.
2A9.A$104.2A.3A64.2A394.A.A5.A10.2A10.3A$110.A63.2A394.A.A.2A27.A$
104.2A.3A459.2A.A2.A$105.A.A465.A4.A$105.A.A466.5A$106.A$82.2A489.A.
2A$81.A2.A2.2A484.2A.A$82.2A2.A.A13.2A$84.2A16.A.A$84.A19.A8.2A74.2A$
81.2A.A2.A16.2A7.2A74.2A$81.A.2A.A.A$85.A.A$82.2A2.A$80.3A.2A16.2A$
79.A23.A23.2A$80.3A.2A17.A.A21.A$82.A.2A18.2A19.A.A61.2A$125.2A10.A
46.2A2.A2.A284.A$92.2A43.3A44.A.A2.2A283.3A$92.2A7.2A37.A28.2A16.2A
284.A$101.A37.2A29.A17.A283.A.A$99.A.A52.2A11.3A15.A2.A.2A280.A.A$99.
2A3.2A48.A12.A16.A.A.2A.A281.A$103.A.A45.2A.A30.A.A$103.A46.A2.A32.A
2.2A$102.2A47.2A34.2A.3A$79.2A55.2A55.A$79.2A55.2A49.2A.3A264.2A$187.
2A.A266.2A2$113.2A64.2A$113.2A8.2A3.A41.2A7.2A$95.A27.A3.A.A41.A305.
2A$94.A.A27.A3.A.A40.A.A303.A.A$94.A.A28.A3.A.A.2A37.2A305.A$95.A27.A
.4A2.A.2A335.2A7.2A$96.3A23.A.A3.A.A339.2A$98.A23.A.A2.A2.2A.2A$123.A
3.2A2.A.A58.2A266.A.2A$131.A.A10.2A46.2A264.3A.2A$132.A11.2A311.A$
458.3A.2A$460.2A2.A$463.A.A$177.A281.A.2A.A.A$176.A.A280.2A.A2.A16.2A
$176.A.A283.A19.A$177.A284.2A16.A.A$174.3A283.2A2.A.A13.2A$174.A284.A
2.A2.2A$460.2A$484.A$483.A.A$483.A.A$482.2A.3A$488.A$482.2A.3A$482.2A
.A3$469.2A$468.A.A$468.A$467.2A3$159.2A327.2A$159.A328.A.A$157.A.A
330.A$157.2A331.2A$153.A$152.A.A323.A$152.A.A322.A.A$153.A323.A.A$
478.A$165.2A315.2A$165.A316.A.A$163.A.A318.A$163.2A319.2A3$142.2A$
143.A$143.A.A$144.2A3$157.2A.A$157.2A.3A$163.A$157.2A.3A$158.A.A$158.
A.A$159.A$135.2A$134.A2.A2.2A$135.2A2.A.A13.2A$137.2A16.A.A$137.A19.A
$134.2A.A2.A16.2A$134.A.2A.A.A$138.A.A238.A$135.2A2.A68.A170.3A71.A$
133.3A.2A67.3A173.A7.2A59.3A$132.A72.A163.2A10.2A7.2A49.2A7.A$133.3A.
2A66.2A163.A70.2A7.2A10.2A$135.A.2A231.A.A89.A$356.2A13.2A87.A.A$145.
2A209.2A102.2A13.2A$145.2A7.2A319.2A$154.A$152.A.A195.2A$152.2A196.2A
129.2A$354.2A125.2A$354.2A121.2A$477.2A$132.2A$132.2A251.2A$349.2A34.
A13.A.A.A.A40.2A$349.2A35.3A9.A.2A.2A.A20.A.A.A.A13.A34.2A$388.A9.A3.
A3.A19.A.2A.2A.A9.3A35.2A$397.2A3.A.2A20.A3.A3.A9.A$148.A254.A23.2A.A
3.2A$147.A.A251.A.A25.A$147.A.A223.2A26.2A26.A.A$148.A219.2A2.A2.A31.
2A21.2A26.2A$149.3A216.A.A2.2A31.A.A48.A2.A2.2A$151.A219.2A33.A51.2A
2.A.A$372.A29.A2.2A53.2A$369.A2.A.2A24.3A57.A$368.A.A.2A.A23.A57.2A.A
2.A$369.A.A26.A.A56.A.2A.A.A10.2A$370.A2.2A23.A.A27.2A31.A.A11.A61.2A
$371.2A.3A22.A28.A.A27.2A2.A13.3A58.2A$377.A52.A25.3A.2A16.A$187.2A
182.2A.3A53.2A23.A$187.A183.2A.A81.3A.2A84.A$185.A.A270.A.2A83.A.A$
185.2A176.2A18.2A161.A$354.2A7.2A18.2A83.2A$355.A112.2A7.2A$355.A.A
119.A62.2A$159.2A195.2A117.A.A62.2A$160.A22.2A218.2A70.2A$157.3A23.A
219.A.A141.2A$157.A26.3A218.A17.2A11.A110.A.A$186.A189.2A18.2A7.2A16.
2A10.A.A111.A$376.2A18.2A37.A.A2.2A3.A9.2A77.2A13.2A$434.2A.2A2.A2.A.
A8.2A78.A$386.A.2A48.A.A3.A.A85.3A6.2A$384.3A.2A44.2A.A2.4A.A86.A8.2A
$165.2A216.A50.2A.A.A3.A$166.A194.A22.3A.2A48.A.A3.A15.2A$163.3A194.A
.A23.2A2.A48.A.A3.A14.A10.A$163.A196.A.A26.A.A48.A3.2A12.A.A9.A.A$
361.A23.A.2A.A.A16.A44.2A2.2A10.A.A20.2A$358.3A24.2A.A2.A15.3A44.2A
15.A21.A$358.A29.A17.A65.3A.2A17.A$181.2A205.2A16.2A23.2A41.A.A14.5A$
157.A23.A.A202.2A2.A.A38.2A43.A13.A$157.3A23.A201.A2.A2.2A23.2A58.A.A
12.3A$160.A22.2A201.2A27.A2.A45.2A11.2A15.A$159.2A14.2A237.A.2A46.A
26.4A$175.2A237.A47.A.A21.2A3.A3.2A$385.2A26.2A47.2A22.2A4.3A2.A$386.
A41.2A64.A.2A$386.A.A39.A65.A$387.2A40.3A61.2A$384.A46.A10.2A$382.3A
56.A.A$322.2A57.A59.A43.2A$323.A56.A.A57.2A43.A$321.A58.A.A50.A23.2A
27.3A$156.2A163.5A14.2A39.A51.3A21.A30.A$155.A2.A2.2A163.A13.A95.A21.
3A$156.2A2.A.A13.2A145.3A12.A.A94.2A23.A$158.2A16.A.A143.A15.2A$158.A
19.A143.4A$155.2A.A2.A16.2A140.2A3.A3.2A34.2A34.2A24.2A$155.A.2A.A.A
156.A2.3A4.2A34.2A34.2A24.A$159.A.A157.2A.A101.2A.A$156.2A2.A36.2A3.
2A118.A101.A2.3A4.2A$154.3A.2A35.3A.A2.2A118.2A101.2A3.A3.2A$153.A40.
A4.A185.2A40.4A$116.A37.3A.2A34.A2.2A.4A181.A.A39.A15.2A$114.5A14.2A
21.A.2A33.2A.A.A.A2.A126.2A55.A40.3A12.A.A2.2A$113.A5.A13.A60.A.A.A.A
130.A46.2A7.2A42.A13.A2.A$113.A2.3A12.A.A32.2A26.A.A.2A128.3A47.2A46.
5A14.3A2.A$112.2A.A15.2A33.2A7.2A18.A132.A97.A21.3A$112.A2.4A56.A192.
A.2A56.A18.A$113.2A3.A3.2A49.A.A32.2A156.3A.2A55.2A18.2A$115.3A4.2A
49.2A24.2A7.A156.A$115.A83.2A5.A.A157.3A.2A$112.2A.A90.2A160.A.A$112.
2A.2A251.A.A$153.2A214.A$153.2A25.A$123.2A55.3A185.A68.2A$124.A58.A
184.3A65.A.A5.2A$121.3A58.2A187.A64.A7.2A$121.A74.2A172.2A63.2A$169.A
27.A180.2A$168.A.A23.3A181.2A69.A$168.A.A23.A250.2A.A.A$169.A48.A225.
A.A.A.A$170.3A27.2A14.5A220.A2.A.A.A.A.2A$172.A19.2A7.A13.A5.A219.4A.
2A2.A2.A$185.2A5.A.A6.A.A12.3A2.A223.A4.2A$185.2A7.A7.2A15.A.2A166.2A
52.A.A$194.2A20.4A2.A166.A53.2A$211.2A3.A3.2A165.A.A$181.A29.2A4.3A
167.2A$180.A.A.2A33.A$180.A.A.A.A32.A.2A$179.2A.A.A.A2.A28.2A.2A$180.
A2.2A.4A$180.A4.A$181.3A.A2.2A20.2A$183.2A3.2A20.A178.2A$211.3A175.2A
$213.A2$369.2A$370.A13.2A$367.3A14.A.A$367.A18.A$386.2A9$194.2A$194.A
$192.A.A$192.2A$188.A$187.A.A$187.A.A$188.A2$200.2A$200.A$198.A.A$
198.2A3$177.2A$178.A$178.A.A$179.2A3$192.2A.A$192.2A.3A$198.A$192.2A.
3A$193.A.A$193.A.A$194.A227.2A$170.2A250.2A$169.A2.A2.2A$170.2A2.A.A
13.2A207.A$172.2A16.A.A204.3A$172.A19.A203.A17.2A$169.2A.A2.A16.2A
201.A.A17.A$169.A.2A.A.A218.A.A14.3A6.2A$173.A.A220.A15.A8.2A$170.2A
2.A$168.3A.2A$167.A$168.3A.2A$170.A.2A206.2A$380.2A$180.2A$180.2A7.2A
$189.A$187.A.A210.2A$187.2A211.A.A$402.A$191.A201.2A7.2A$191.3A199.2A
$167.2A25.A$167.2A24.2A188.A.2A$381.3A.2A$380.A$381.3A.2A$383.2A2.A$
183.A202.A.A$182.A.A197.A.2A.A.A$182.A.A18.2A177.2A.A2.A16.2A$183.A
12.2A5.A.A179.A19.A$184.3A9.2A7.A179.2A16.A.A$186.A18.2A176.2A2.A.A
13.2A$382.A2.A2.2A$192.A190.2A$191.A.A.2A210.A$191.A.A.A.A208.A.A$
190.2A.A.A.A2.A205.A.A$191.A2.2A.4A204.2A.3A$191.A4.A214.A$192.3A.A2.
2A204.2A.3A$194.2A3.2A204.2A.A3$392.2A$391.A.A$391.A$390.2A3$411.2A$
411.A.A$413.A$413.2A2$401.A$400.A.A$400.A.A$401.A$405.2A$405.A.A$407.
A$407.2A2$370.A$370.3A$373.A$372.2A5$406.2A$406.A.A$382.2A24.A$375.2A
5.A.A23.2A$375.2A7.A$384.2A2$371.A$370.A.A.2A$370.A.A.A.A$367.2A.A.A.
A.A2.A$367.A2.A2.2A.4A$369.2A4.A$375.A.A$376.2A!
I was thinking to replace the eater regulator by my block regulator as it has smaller recovery time. There is no real advantage to an eater regulator in this context.

EDIT The universal regulator is needed. As the block regulator requires closing the gate each cycle - while the universal regulator after it was constructed - is very "stable" to the destruction glider.

For example:

Code: Select all

x = 643, y = 637, rule = LifeHistory
21.2A$21.2A17$26.2A$25.A2.A$25.A.A$23.2A2.2A$22.A2.2A$22.2A3.2A$27.A$
28.A$25.3A$25.A6$42.2A$42.2A3$27.2A$27.A.A$29.A$29.2A4$48.2A$48.A$46.
A.A$29.2A15.2A$29.2A3$46.2A$46.A.A$48.A$48.2A3$50.2A$45.2A2.A2.A$45.A
.A2.2A$30.2A16.2A$31.A17.A$28.3A15.A2.A.2A$28.A16.A.A.2A.A$46.A.A$47.
A2.2A$48.2A.3A$54.A$48.2A.3A27.A$48.2A.A18.2A7.3A$65.A5.A6.A$40.2A23.
3A3.A.A4.2A$31.2A7.2A26.A3.2A$32.A34.2A$32.A.A$33.2A57.A$90.3A$89.A$
89.2A$53.2A$53.2A$88.2A$88.2A3$38.A$37.A.A$37.A.A30.2A$38.A32.A$35.3A
30.3A$35.A32.A26.2A$90.2A2.A2.A$90.A.A2.2A$75.2A16.2A$11.2A63.A17.A$
11.2A60.3A15.A2.A.2A$73.A16.A.A.2A.A$91.A.A$92.A2.2A$2A91.2A.3A$.A23.
2A72.A$.A.A21.A67.2A.3A$2.2A19.A.A67.2A.A$23.2A10.A$35.3A47.2A$38.A
37.2A7.2A$37.2A38.A$52.2A23.A.A$2.2A48.A25.2A$.A.A45.2A.A$.A46.A2.A$
2A47.2A$34.2A62.2A$34.2A62.2A3$11.2A$11.2A8.2A3.A$21.A3.A.A55.A$22.A
3.A.A53.A.A$23.A3.A.A.2A49.A.A$21.A.4A2.A.2A50.A$20.A.A3.A.A51.3A$20.
A.A2.A2.2A.2A47.A$21.A3.2A2.A.A$29.A.A10.2A$30.A11.2A$577.2A$490.A83.
2A2.A$478.A11.3A79.3A.2A6.A$476.3A14.A77.A10.3A$460.A14.A16.2A78.3A.
2A3.A$460.3A12.2A97.A.2A3.2A$463.A52.A$102.2A11.A346.2A50.3A13.A$102.
2A10.A.A396.A16.3A$114.A.A2.2A3.A388.2A18.A12.A$113.2A.2A2.A2.A.A337.
2A67.2A12.3A7.2A28.2A$117.A.A3.A.A12.2A323.2A17.2A65.A6.A29.A$113.2A.
A2.4A.A13.A343.2A64.2A4.A.A27.A.A$113.2A.A.A3.A13.A.A415.2A28.2A$117.
A.A3.A12.2A$118.A.A3.A427.A$119.A3.2A426.A.A$144.2A376.2A28.2A$145.A
333.2A41.2A$145.A.A331.A19.2A$110.2A34.2A332.3A15.A.A$110.2A370.A15.A
52.A$95.2A379.2A19.2A10.2A40.A3.A$55.2A37.A2.A378.A33.A30.2A8.A.2A2.A
27.2A$33.2A20.A37.A.2A70.2A308.3A27.3A9.2A20.2A8.2A3.A28.2A$34.A18.A.
A37.A73.2A310.A27.A11.A35.2A$34.A.A16.2A37.2A426.A29.A$35.2A12.A57.2A
410.2A29.A$48.A.A56.A441.A$48.A.A57.3A24.2A323.2A80.2A5.A$49.A60.A11.
2A11.2A322.A.A81.A9.2A$123.A329.A2.A2.A80.3A3.A.A3.A$61.2A57.3A330.7A
80.A2.4A.A.A14.2A$61.A58.A422.A20.A.A$59.A.A391.5A86.3A.2A2.2A6.2A2.A
19.2A$59.2A78.2A307.2A2.A4.A88.A.A4.A6.A.A.A7.2A9.A2.A2.2A$140.A307.A
2.A2.A33.2A59.4A9.A.2A6.2A9.A.A4.A$137.3A309.A.A.2A24.2A7.A62.A10.A
21.A5.A.2A$38.2A97.A310.2A.A5.A21.A10.A62.A7.2A24.2A.A.A$39.A117.2A
292.A4.A.A9.2A6.2A.A9.4A59.2A33.A2.A2.A$39.A.A115.2A292.2A2.A2.A9.2A
7.A.A.A6.A4.A.A88.A4.A2.2A$40.2A414.2A19.A2.2A6.2A2.2A.3A86.5A$475.A.
A20.A$475.2A14.A.A.4A2.A80.7A$53.2A.A60.A371.A3.A.A3.3A80.A2.A2.A$53.
2A.3A47.2A7.3A369.2A9.A81.A.A$59.A41.A5.A6.A377.A5.2A80.2A$53.2A.3A
42.3A3.A.A4.2A376.A$54.A.A47.A3.2A381.A29.2A$54.A.A46.2A386.A29.A$55.
A429.2A35.A11.A27.A$31.2A95.A326.2A28.A3.2A8.2A20.2A9.3A27.3A$30.A2.A
2.2A88.3A326.2A27.A2.2A.A8.2A30.A33.A$31.2A2.A.A13.2A72.A360.A3.A40.
2A10.2A19.2A$33.2A16.A.A71.2A363.A52.A15.A$33.A19.A8.2A477.A.A15.3A$
30.2A.A2.A16.2A7.2A477.2A19.A$30.A.2A.A.A86.2A392.2A41.2A$34.A.A87.2A
362.2A28.2A$31.2A2.A452.A.A$29.3A.2A16.2A436.A$28.A23.A23.2A$29.3A.2A
17.A.A21.A379.2A28.2A$31.A.2A18.2A19.A.A29.2A347.A.A27.A.A4.2A64.2A$
74.2A10.A20.A347.A29.A6.A65.2A17.2A$41.2A43.3A15.3A347.2A28.2A7.3A12.
2A67.2A$41.2A7.2A37.A13.A27.2A362.A12.A18.2A$50.A37.2A14.A21.2A2.A2.A
375.3A16.A$48.A.A52.2A21.A.A2.2A378.A13.3A50.2A$48.2A3.2A48.A7.2A16.
2A394.A52.A$52.A.A45.2A.A8.A17.A328.2A3.2A.A97.2A12.3A$52.A46.A2.A6.
3A15.A2.A.2A326.A3.2A.3A96.A14.A$51.2A47.2A7.A16.A.A.2A.A323.3A10.A
92.3A$28.2A55.2A40.A.A327.A6.2A.3A93.A$28.2A55.2A41.A2.2A330.A2.2A$
129.2A.3A328.2A$135.A36.2A11.A378.2A$62.2A65.2A.3A37.2A10.A.A377.2A$
62.2A8.2A3.A51.2A.A51.A.A2.2A3.A$44.A27.A3.A.A104.2A.2A2.A2.A.A$43.A.
A27.A3.A.A41.2A64.A.A3.A.A12.2A363.A$43.A.A28.A3.A.A.2A28.2A7.2A60.2A
.A2.4A.A13.A363.A.A$44.A27.A.4A2.A.2A29.A69.2A.A.A3.A13.A.A364.A$45.
3A23.A.A3.A.A33.A.A71.A.A3.A12.2A$47.A23.A.A2.A2.2A.2A30.2A72.A.A3.A$
72.A3.2A2.A.A106.A3.2A$80.A.A10.2A119.2A353.2A$81.A11.2A120.A353.2A$
134.2A79.A.A356.2A$134.2A44.2A34.2A356.A.A$180.2A394.A$165.2A378.C.C.
C.C.C7.2A13.2A$164.A2.A394.A$163.A.2A70.2A306.C7.C5.3A6.2A$119.A43.A
73.2A310.C9.A8.2A$118.A.A41.2A381.C2.C4.C$118.A.A56.2A369.3C$119.A57.
A367.C7.C$116.3A59.3A24.2A$116.A63.A11.2A11.2A338.C.C.C.C.C$193.A$
190.3A$190.A2$209.2A$210.A$207.3A319.A$207.A319.3A$227.2A297.A$227.2A
296.A.A$525.A.A$106.2A418.A$106.A$104.A.A$104.2A$100.A$99.A.A408.2A$
99.A.A408.2A$100.A2$112.2A$112.A417.2A$110.A.A417.A.A$110.2A420.A$
523.2A7.2A$523.2A$89.2A$90.A422.A.2A$90.A.A418.3A.2A$91.2A417.A$511.
3A.2A$513.2A2.A$104.2A.A408.A.A$104.2A.3A64.2A336.A.2A.A.A$110.A63.2A
336.2A.A2.A16.2A$104.2A.3A405.A19.A$105.A.A407.2A16.A.A$105.A.A405.2A
2.A.A13.2A$106.A405.A2.A2.2A$82.2A429.2A$81.A2.A2.2A448.A$82.2A2.A.A
13.2A432.A.A$84.2A16.A.A431.A.A$84.A19.A8.2A74.2A344.2A.3A$81.2A.A2.A
16.2A7.2A74.2A350.A$81.A.2A.A.A446.2A.3A$85.A.A447.2A.A$82.2A2.A$80.
3A.2A16.2A$79.A23.A23.2A393.2A$80.3A.2A17.A.A21.A393.A.A$82.A.2A18.2A
19.A.A61.2A330.A$125.2A10.A46.2A2.A2.A299.2A3.2A22.2A$92.2A43.3A44.A.
A2.2A298.3A.A2.2A$92.2A7.2A37.A28.2A16.2A299.A4.A$101.A37.2A29.A17.A
299.A2.2A.4A43.2A$99.A.A52.2A11.3A15.A2.A.2A295.2A.A.A.A2.A43.A.A$99.
2A3.2A48.A12.A16.A.A.2A.A296.A.A.A.A48.A$103.A.A45.2A.A30.A.A300.A.A.
2A49.2A$103.A46.A2.A32.A2.2A298.A$102.2A47.2A34.2A.3A338.A$79.2A55.2A
55.A308.2A26.A.A$79.2A55.2A49.2A.3A300.2A7.A27.A.A$187.2A.A302.2A5.A.
A28.A$500.2A33.2A$113.2A64.2A354.A.A$113.2A8.2A3.A41.2A7.2A356.A$95.A
27.A3.A.A41.A299.A30.A34.2A$94.A.A27.A3.A.A40.A.A297.3A28.3A$94.A.A
28.A3.A.A.2A37.2A300.A30.A$95.A27.A.4A2.A.2A338.2A29.2A$96.3A23.A.A3.
A.A359.2A$98.A23.A.A2.A2.2A.2A356.A$123.A3.2A2.A.A58.2A268.2A.2A21.3A
$131.A.A10.2A46.2A268.2A.A22.A$132.A11.2A319.A$465.3A4.2A$463.2A3.A3.
2A40.2A$462.A2.4A38.2A5.A.A$177.A284.2A.A15.2A24.2A7.A$176.A.A284.A2.
3A12.A.A32.2A$176.A.A284.A5.A13.A$177.A286.5A14.2A18.A$174.3A289.A35.
A.A.2A$174.A327.A.A.A.A$501.2A.A.A.A2.A$502.A2.2A.4A$502.A4.A$503.3A.
A2.2A$505.2A3.2A9$501.A$501.3A$504.A$159.2A342.A.A$159.A343.A.A$157.A
.A344.A$157.2A$153.A$152.A.A$152.A.A$153.A365.2A$519.2A$165.2A$165.A$
163.A.A$163.2A334.2A$498.A.A$498.A$142.2A353.2A7.2A$143.A362.2A$143.A
.A$144.2A368.2A.A$514.2A.3A$520.A$157.2A.A353.2A.3A$157.2A.3A350.A2.
2A$163.A348.A.A$157.2A.3A348.A.A.2A.A$158.A.A333.2A16.A2.A.2A$158.A.A
334.A19.A$159.A335.A.A16.2A$135.2A359.2A13.A.A2.2A$134.A2.A2.2A369.2A
2.A2.A$135.2A2.A.A13.2A359.2A$137.2A16.A.A335.A$137.A19.A334.A.A$134.
2A.A2.A16.2A333.A.A$134.A.2A.A.A348.3A.2A$138.A.A348.A$135.2A2.A68.A
281.3A.2A$133.3A.2A67.3A283.A.2A$132.A72.A$133.3A.2A66.2A$135.A.2A
368.2A$507.A.A$145.2A362.A$145.2A7.2A353.2A$154.A$152.A.A$152.2A334.
2A$487.A.A$487.A$486.2A$132.2A$132.2A365.A$498.A.A$498.A.A$499.A$494.
2A$148.A344.A.A$147.A.A343.A$147.A.A342.2A$148.A480.2A$149.3A477.2A$
151.A2$638.A$637.A.A$638.A3$632.2A$187.2A443.2A$187.A$185.A.A451.2A$
185.2A452.A.A$474.A166.A$474.3A149.2A13.2A$477.A20.2A3.2A122.A$159.2A
315.2A20.2A2.A.3A117.3A6.2A$160.A22.2A317.A4.A116.A8.2A$157.3A23.A
314.4A.2A2.A$157.A26.3A278.2A.2A28.A2.A.A.A.2A$186.A278.2A.A32.A.A.A.
A$468.A33.2A.A.A$468.3A4.2A29.A$466.2A3.A3.2A$465.A2.4A20.2A$165.2A
298.2A.A15.2A7.A7.2A$166.A299.A2.3A12.A.A6.A.A5.2A$163.3A300.A5.A13.A
7.2A19.A$163.A303.5A14.2A27.3A$469.A48.A$493.A23.A.A$491.3A23.A.A$
181.2A307.A27.A$157.A23.A.A306.2A74.A$157.3A23.A320.2A58.3A$160.A22.
2A319.A58.A$159.2A14.2A328.3A55.2A$175.2A330.A25.2A$533.2A$571.2A.2A$
480.2A90.A.2A$479.A.A5.2A83.A$479.A7.2A24.2A49.2A4.3A$478.2A32.A.A49.
2A3.A3.2A$512.A56.4A2.A$492.A18.2A7.2A33.2A15.A.2A$488.2A.A.A26.2A32.
A.A12.3A2.A$156.2A329.A.A.A.A60.A13.A5.A$155.A2.A2.2A321.A2.A.A.A.2A
33.2A.A21.2A14.5A$156.2A2.A.A13.2A306.4A.2A2.A34.2A.3A37.A$158.2A16.A
.A309.A4.A40.A$158.A19.A305.2A2.A.3A35.2A.3A$155.2A.A2.A16.2A304.2A3.
2A36.A2.2A$155.A.2A.A.A363.A.A$159.A.A363.A.A.2A.A$156.2A2.A36.2A3.2A
304.2A16.A2.A.2A$154.3A.2A35.3A.A2.2A305.A19.A$153.A40.A4.A309.A.A16.
2A$116.A37.3A.2A34.A2.2A.4A306.2A13.A.A2.2A$114.5A14.2A21.A.2A33.2A.A
.A.A2.A321.2A2.A2.A$113.A5.A13.A60.A.A.A.A329.2A$113.A2.3A12.A.A32.2A
26.A.A.2A$112.2A.A15.2A33.2A7.2A18.A$112.A2.4A56.A$113.2A3.A3.2A49.A.
A32.2A$115.3A4.2A49.2A24.2A7.A$115.A83.2A5.A.A$112.2A.A90.2A$112.2A.
2A$153.2A$153.2A25.A330.2A$123.2A55.3A328.2A14.2A$124.A58.A319.2A22.A
$121.3A58.2A320.A23.3A$121.A74.2A306.A.A23.A$169.A27.A307.2A$168.A.A
23.3A$168.A.A23.A$169.A48.A$170.3A27.2A14.5A303.A$172.A19.2A7.A13.A5.
A300.3A$185.2A5.A.A6.A.A12.3A2.A299.A$185.2A7.A7.2A15.A.2A298.2A$194.
2A20.4A2.A$211.2A3.A3.2A$181.A29.2A4.3A$180.A.A.2A33.A$180.A.A.A.A32.
A.2A278.A$179.2A.A.A.A2.A28.2A.2A278.3A26.A$180.A2.2A.4A314.A23.3A$
180.A4.A317.2A22.A$181.3A.A2.2A20.2A315.2A$183.2A3.2A20.A$211.3A$213.
A299.2A$501.2A10.2A$500.A.A$500.A$499.2A11$194.2A$194.A$192.A.A$192.
2A$188.A$187.A.A$187.A.A$188.A2$200.2A$200.A$198.A.A$198.2A3$177.2A$
178.A$178.A.A$179.2A3$192.2A.A$192.2A.3A$198.A$192.2A.3A$193.A.A$193.
A.A$194.A$170.2A$169.A2.A2.2A$170.2A2.A.A13.2A$172.2A16.A.A$172.A19.A
$169.2A.A2.A16.2A$169.A.2A.A.A$173.A.A$170.2A2.A$168.3A.2A$167.A$168.
3A.2A$170.A.2A2$180.2A$180.2A7.2A$189.A$187.A.A$187.2A2$191.A$191.3A$
167.2A25.A$167.2A24.2A5$183.A$182.A.A$182.A.A18.2A$183.A12.2A5.A.A$
184.3A9.2A7.A$186.A18.2A2$192.A$191.A.A.2A$191.A.A.A.A$190.2A.A.A.A2.
A$191.A2.2A.4A$191.A4.A$192.3A.A2.2A$194.2A3.2A47$394.A$394.3A$397.A$
396.2A7$406.2A$399.2A5.A.A$399.2A7.A$408.2A2$395.A$394.A.A.2A$394.A.A
.A.A$393.2A.A.A.A2.A$394.A2.2A.4A$394.A4.A$395.3A.A2.2A$397.2A3.2A!
EDIT2 I was wondering if it's possible to break the universal regulator, turns out it is in single case:

Code: Select all

x = 14, y = 10, rule = B3/S23
12bo$2bo8bo$obo8b3o$b2o3$6b2o$5bobo$5bo$4b2o!

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dvgrn
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Re: Very Low Expansion Factor?

Post by dvgrn » April 29th, 2016, 2:48 pm

simsim314 wrote:A stable circuit sawtooth (i.e. just attach a gun) - a project started by dvgrn is now finished!
Very nice work -- thanks very much!

Yes, the one gun being twice the period of the other was by design, to "flush" the regulator often enough that it would never be in the middle of recovery just when the next signal was coming in. As you mentioned, that caused the regulator output glider to miss the glider it was supposed to suppress, a lot of the time -- and after that the regulator would be recovered, so there was no regulator output glider to hit the next signal.
simsim314 wrote:EDIT The universal regulator is needed. As the block regulator requires closing the gate each cycle - while the universal regulator after it was constructed - is very "stable" to the destruction glider.
Right! The case to worry about is the block is getting cleaned up just at the wrong time, when a signal is coming in on the input stream. It tends to make a nasty explosion... You can try various tricks to reduce the length of the problematic time slice, but it's a bit tricky to get it down to zero.
simsim314 wrote:EDIT2 I was wondering if it's possible to break the universal regulator, turns out it is in single case:

Code: Select all

x = 14, y = 10, rule = B3/S23
12bo$2bo8bo$obo8b3o$b2o3$6b2o$5bobo$5bo$4b2o!
Try it in the complete regulator pattern. There's a fishhook eater hiding on the left side, that takes care of that one case. It really is universal, it's not just an advertising gimmick.

With all the new H-to-G and other signal circuits that have showed up recently, I'm sure the regulator, and this entire sawtooth pattern, could be reduced in size and population by at least half. Among other things, I think there are "block-keepers" and "blinker-keepers" that directly delete the object that they then rebuild, with a preliminary spark, without having to split a signal to do the job.

EDIT: I had forgotten how good this block-keeper was -- pointed out by Sokwe not quite a year ago:

Code: Select all

x = 137, y = 103, rule = LifeHistory
A11.2A$3A9.2A$3.A$2.2A$26.2A$26.2A3$11.C$9.3C$9.C.C33.2C$9.C35.2C7$9.
2A$8.A.A$8.A$7.2A3$32.A$31.A.A$32.2A2$15.2A$16.A$13.3A$13.A$18.2A$19.
A4.2A$16.3A5.2A$16.A65$134.2A$134.A.A$134.A!

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Re: Very Low Expansion Factor?

Post by simsim314 » April 30th, 2016, 1:39 am

dvgrn wrote:Try it in the complete regulator pattern. There's a fishhook eater hiding on the left side, that takes care of that one case. It really is universal, it's not just an advertising gimmick.
Haha...indeed the universal regulator is very impressive! I wonder if we can improve it somehow to be more practical in the 500-600 ticks range?

The Sokwe's keeper is also very useful circuit piece, I've missed.

--------------

I was trying to improve the universal regulator - but failed harshly. Until I realized that everything is working mod8 and that you should not overload one side over the other, I already got "working" regulator with VERY heavy circuitry (but at least I managed to complete it):

Code: Select all

x = 277, y = 243, rule = LifeHistory
38$197.2C11.C$197.2C10.C.C$142.2C3.2C60.C.C2.2C3.C$140.3C.C2.2C59.2C.
2C2.C2.C.C$139.C4.C67.C.C3.C.C$139.C2.2C.4C59.2C.C2.4C.C$138.2C.C.C.C
2.C59.2C.C.C3.C$139.C.C.C.C66.C.C3.C$139.C.C.2C68.C.C3.C$140.C73.C3.
2C19.C$233.C4.C.C$153.2C76.3C4.C.C$144.2C7.C76.C6.2C.3C$144.2C5.C.C
51.2C23.2C11.C$151.2C52.2C30.2C.3C$124.C56.2C7.2C45.2C.C$124.3C54.2C
6.C2.C$127.C60.C.2C$126.2C60.C$187.2C$202.2C$115.2C.2C21.2C14.C44.C$
115.2C.C23.C14.3C43.3C3.2C$118.C20.3C18.C44.C3.2C$118.3C4.2C12.C19.2C
$116.2C3.C3.2C$115.C2.4C$115.2C.C15.2C59.2C29.2C5.2C$116.C2.3C12.C.C
58.C.C29.C5.C$116.C5.C13.C60.C21.2C3.3C7.3C$117.5C14.2C6.C52.2C20.2C
3.C11.C$119.C22.3C24.2C$141.C20.2C5.C.C$141.2C19.2C7.C24.2C$171.2C18.
2C2.C2.C$191.C.C2.2C$149.2C.2C4.C17.2C16.2C$150.C.2C3.C.C.2C14.C17.C$
150.C6.C.C.C.C10.3C15.C2.C.2C$142.2C4.3C5.2C.C.C.C2.C7.C16.C.C.2C.C$
142.2C3.C3.2C4.C2.2C.4C25.C.C$147.4C2.C3.C4.C30.C2.2C$133.2C15.C.2C4.
3C.C2.2C27.2C.3C19.C$132.C.C12.3C2.C7.2C3.2C33.C17.C.C$132.C13.C5.C
41.2C.3C19.2C$131.2C14.5C42.2C.C25.C$149.C73.3C$186.2C38.C$177.2C7.2C
37.C.C$178.C46.C.C$178.C.C45.C$179.2C27.2C$208.2C3$199.2C40.2C$199.2C
40.2C4$221.2C$184.C35.C.C$183.C.C34.C$183.C.C33.2C7.2C$184.C43.2C$
181.3C$181.C54.2C.C$236.2C.3C$242.C$236.2C.3C$235.C2.2C$234.C.C$233.C
.C.2C.C$216.2C16.C2.C.2C$217.C19.C$217.C.C16.2C$218.2C13.C.C2.2C$233.
2C2.C2.C$238.2C4$214.2C$215.C$215.C.C$216.2C2$205.2C$206.C22.2C$206.C
.C20.C.C$207.2C22.C$231.2C3$81.C$79.3C145.2C$78.C127.2C19.C.C$77.C.C
125.C.C15.2C4.C$77.C.C125.C17.C5.2C$78.C125.2C12.C5.3C$199.C17.C.C6.C
$199.3C16.C$202.C$201.2C$62.2C152.2C$62.2C152.C$213.2C.C$212.C2.C$
213.2C$82.2C99.2C13.2C$82.C.C75.2C21.2C13.2C$84.C75.2C$75.2C7.2C$75.
2C2$65.C.2C$63.3C.2C$62.C97.2C31.C.2C$63.3C.2C91.C30.3C.2C$65.2C2.C
87.2C.C29.C$68.C.C86.C.2C.2C27.3C.2C$64.C.2C.C.C16.C73.C30.C.C$64.2C.
C2.C15.3C73.C.C.2C25.C.C10.2C$67.C17.C77.2C.2C26.C11.2C$67.2C16.2C15.
C$65.2C2.C.C30.3C58.2C.2C$64.C2.C2.2C33.C58.C.C$65.2C37.2C58.C.C$165.
C2$92.2C$92.2C4$72.2C$72.2C41.2C$114.C.C$115.C$71.2C$72.C$69.3C12.2C$
69.C14.C$85.3C$87.C9$112.C$111.C.C$102.2C7.2C$102.2C2$111.2C$111.C$
112.3C$114.C2$73.3C$75.C$74.C!

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dvgrn
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Re: Very Low Expansion Factor?

Post by dvgrn » April 30th, 2016, 2:43 am

simsim314 wrote:Haha...indeed the universal regulator is very impressive! I wonder if we can improve it somehow to be more practical in the 500-600 ticks range?
That's an ambitious target -- even with a syringe it takes a few hundred ticks to process an input glider and get two signals out. But I would think under 1000 ticks ought to be easy, and 900 or 800 ticks should be possible with enough effort.

The glider inserters I used are really B-to-Gs, so your BRx46B conduit might work to turn the final corner a little faster:

Code: Select all

x = 100, y = 89, rule = LifeHistory
17.4B58.4B$18.4B56.4B$19.4B54.4B$20.4B52.4B$21.4B50.4B$22.4B48.4B$23.
4B46.4B$24.4B44.4B$25.4B41.7B15.2B$26.4B39.11B11.4B$6.2B15.2B.5B38.7B
2A3B10.4B$5.4B11.12B36.8B2A3B9.6B2.B$5.4B10.3B2A9B34.13B10.2B2A2B.B2A
$.B2.6B9.3B2A10B32.13B2.B4.B.3BA2BA3B2A$2AB.2B2A2B6.2B2.15B30.17B3.7B
2A2B.2B$2A3BA2BA3B.B2.3B2.10B.4B27.14BD18B$.2B.2B2A7B.21B25.14B2D17B$
4.18BD15B23.14B2D18B$5.17B2D15B21.16BD18B$5.18B2D15B19.18BD18B$5.18BD
17B17.16B.4B.2B.13B.B$4.18BD19B15.13B.2B2.6B2.12B.B2A$2.B.21B.17B13.B
A3B2.7B6.3B4.9BA4B2A$.2AB.12B2.6B2.2B.8B.5B11.2BABA4.4B16.7B3AB.2B$.
2A3B3A8B4.3B6.7B3.5B10.DB2A4.4B17.6B2A2BA$2.2B.BA2BA9B13.4B5.5B3.2D3.
DBD5.A.A.A.A16.10B$5.BAB2A6B17.4B5.5B2.DB3D2BD4.A.2A.2A.A19.6B$5.10B
16.A.A.A.A5.5BD6BD5.A3.A3.A19.5B$5.6B19.A.2A.2A.A5.3BD6BD7.2A.A3.2A
18.6B$6.5B19.A3.A3.A5.DBD7BD9.A25.4B$5.6B18.2A3.A.2A4.2DBD3B2D3BD9.A.
A23.4B$6.4B25.A5.D6BDBD2BD11.2A24.2B$6.4B23.A.A5.D6BD3BD$7.2B24.2A6.D
5B2D.2D$39.2AD6B$38.A.A2D4BD$38.A4.4D$34.A2.2A3.4B$32.3A6.4B$31.A8.4B
$30.A.A6.4B$29.BA.A5.4B18.2A$28.3BA5.4B19.A.A$26.4B6.4B22.A$24.6B5.4B
23.2A$23.7B4.4B$16.B.4B.8B2.4B$15.2AB.17B$15.2A18B$16.2B.16B$19.16B$
20.15B25.2A$21.12B.B2A23.A.A$21.11B2.BA.A24.A4.2A$22.10B5.A20.4A.2A2.
A2.A$22.6B2A2B5.2A19.A2.A.A.A.A.2A$22.6B2A3B27.BABABA.A$22.10B29.B2AB
A.A$18.A.2AB.8B30.2B.BA$16.3AB2AB3.7B28.3B$15.A4.B6.6B19.2A6.4B$16.3A
.2A4.6B21.A6.B2A3B$18.2A2.A4.5B21.A.AB3.B2A3B$21.A.A.8B21.2AB.10B$17.
A.2A.A.A8B8.A14.13B$17.2A.A.BA2B.6B6.3A14.14B$20.A2.2B2.7B4.A17.15B$
20.2A.B3.7B4.2A18.8B2.4B$18.2A2.A.A2.8B.4B18.6B5.4B$17.A2.A2.2A2.11B
19.9B4.3B$18.2A7.12B17.4B4.2A5.2B$27.12B16.4B5.A7.B$28.11B26.3A$17.2A
12.9B27.A$18.A11.10B.2B$18.A.AB4.B.16B7.B$19.2AB2.23B3.4B$21.32B$20.
32B$20.31B$20.30B$20.28B$19.4B.B5.17B$18.4B11.14B$17.4B12.14B$17.3B
14.2B4.3B$17.2B14.2B6.B$17.B14.B2AB$33.2A!
And/or the glider inserter on the left could be replaced by a simple NW31 edge shooter -- but I don't think that's likely to be an improvement:

Code: Select all

x = 153, y = 115, rule = LifeHistory
4$56.4B$57.4B$52.2A4.4B$51.B2AB4.4B$52.2B6.4B$53.2B4.6B$52.14B$52.15B
$43.B5.19B$42.27B$40.30B$38.B.31B58.4B$37.2A33B56.4B$37.2A34B54.4B$
38.28B3.5B52.4B$38.3B4.B.16B7.5B50.4B$49.10B.2B9.5B48.4B$50.9B13.5B
46.4B$47.11B15.5B44.4B$46.12B16.5B41.7B15.2B$46.12B17.5B39.11B11.4B$
46.11B19.5B38.7B2A3B10.4B$46.B3.4B.4B18.5B36.8B2A3B9.6B2.B$46.2B.4B4.
2A19.5B34.13B10.2B2A2B.B2A$46.2B3.2B4.A21.5B32.13B2.B4.B.3BA2BA3B2A$
46.6B6.3A19.5B30.17B3.7B2A2B.2B$46.6B8.A20.5B27.14BD18B$46.6B30.5B25.
14B2D17B$46.5B32.5B23.14B2D18B$45.6B33.5B21.16BD18B$41.2A3.6B33.5B19.
18BD18B$40.A.A2.7B34.5B17.16B.21B.B$40.A4.6B15.2A19.5B15.13B.2B2.6B2.
12B.B2A$39.2A4.8B4.B8.A21.5B13.5B2.7B6.3B4.9BD4B2A$46.B2A6B.4B3.BA.A
22.5B11.5B4.4B16.7B3DB.2B$45.2B2A13B.B2A24.5B9.BD3B4.4B17.6B2D2BD$46.
18B27.5B3.2D2.BDBDB4.A.A.A.A16.10B$47.17B28.5B2.DB3D2BD4.A.2A.2A.A19.
6B$50.13B30.5BD6BD5.A3.A3.A19.5B$49.12B33.3BD6BD7.2A.A3.2A18.6B$49.
10B35.DBD7BD9.A25.4B$48.11B33.2DBD3B2D3BD9.A.A23.4B$48.7B.2B33.D6BDBD
2BD11.2A24.2B$47.11B33.D6BD3BD$48.11B32.D5B2DB2D$48.11B7.2A21.2AD7B$
48.11B2.2A2.A2.A19.A.A2D4BD$46.2AB2.8B2.A.A2.2A20.A3.B4D$45.A.AB3.7B
3.B.2A21.2A2.5B$45.A6.7B2.2B2.A25.4B$44.2A7.6B.2BAB.A.2A21.4B$53.8BA.
A.2A.A20.4B$53.8B.A.A23.4B18.2A$54.5B4.A2.2A19.4B19.A.A$54.6B4.2A.3A
16.4B22.A$53.6B6.B4.A14.4B23.2A$53.7B3.B2AB3A14.4B$54.8B.B2A.A15.4B$
54.10B18.4B$53.3B2A6B17.4B$47.2A5.2B2A6B16.4B$48.A5.10B15.4B$48.A.AB
2.11B13.4B$49.2AB.12B$51.15B$51.16B$51.16B.2B$51.18B2A$50.17B.B2A$49.
4B2.8B.4B.B$48.4B4.7B$47.4B5.6B$46.4B6.4B$45.4B5.A3B$44.4B5.A.AB$31.
2A10.4B6.A.A$32.A9.4B8.A$30.A10.4B3.2A.3A$30.5A5.4B5.A.A$35.A4.4B5.A$
32.3AB2.7B.BA.A$31.A.2B3.7B.B2A$31.4A12B$29.2A2.BA3B2A7B$28.A2.3AB.2B
2A7B$28.2A.A.B3.10B$31.A8.8B$31.2A7.9B$41.3B2.4B$39.5B3.4B$39.2A7.4B$
40.A8.4B$37.3A10.4B$37.A13.4B$52.4B!
Watch out for the inserter on the right, though -- it can't be replaced by an Nw31, because it needs one extra lane's worth of clearance. I suppose an Fx119 would work in that situation.

-- If we just had a direct edgy Herschel-to-eater conduit with the eater in the right orientation, we wouldn't have to bother with all this glider synchronization stuff. Or an H-to-2G lookup table would be nice, that classifies both output gliders according to their relative colors and timings.

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » April 30th, 2016, 3:54 am

I've improved by small margin the universal regulator, my design has recovery time of 1080 instead of 1177 (10% - is not so bad):

I think we should make sure output glider is part of the definition of the regulator. I think there is no point in having regulator without an output glider.

Code: Select all

x = 410, y = 446, rule = LifeHistory
408.C$407.C2B$406.B3C$405.4B$404.4B$403.4B$402.4B$401.4B$400.4B$399.
4B$398.4B$397.4B$396.4B$395.4B$394.4B$393.4B$392.4B$391.4B$390.4B$
389.4B$388.4B$387.4B$386.4B$385.4B$384.4B$383.4B$382.4B$381.4B$380.4B
$379.4B$378.4B$377.4B$376.4B$375.4B$374.4B$373.4B$372.4B$371.4B$370.
4B$369.4B$368.4B$367.4B$366.4B$365.4B$364.4B$363.4B$362.4B$361.4B$
360.4B$359.4B$358.4B$357.4B$356.4B$355.4B$354.4B$353.4B$352.4B$351.4B
$350.4B$349.4B$348.4B$347.4B$346.4B$345.4B$344.4B$343.4B$342.4B$341.
4B$340.4B$339.4B$338.4B$337.4B$336.4B$335.4B$334.4B$333.4B$332.4B$
331.4B$330.4B$329.4B$328.4B$327.4B$326.4B$325.4B$324.4B$323.4B$322.4B
$321.4B$320.4B$319.4B$318.4B$317.4B$316.4B$315.4B$314.4B$313.4B$312.
4B$311.4B$310.4B$309.4B$308.4B$307.4B$306.4B$305.4B$304.4B$303.4B$
302.4B$301.4B$300.4B$299.4B$298.4B$297.4B$296.4B$295.4B$294.4B$293.4B
$292.4B$291.4B$290.4B$289.4B$288.4B$287.4B$286.4B$285.4B$284.4B$283.
4B$282.4B$281.4B$280.4B$279.4B$278.4B$277.4B$276.4B$275.4B$274.4B$
273.4B$272.4B$271.4B$270.4B$269.4B$268.4B$267.4B$266.4B$265.4B$264.4B
$263.4B$262.4B$261.4B$260.4B$259.4B$258.4B$257.4B$256.4B$255.4B$254.
4B$253.4B$252.4B$251.4B$250.4B$249.4B$248.4B$247.4B$246.4B$245.4B$
244.4B$243.4B$242.4B$241.4B$240.4B$239.4B$238.4B$237.4B$236.4B$235.4B
$234.4B$233.4B$232.4B$231.4B$230.4B$229.4B$228.4B$227.4B$226.4B$225.
4B$224.4B$223.4B$222.4B$221.4B$220.4B$219.4B$218.4B$217.4B$216.4B$
215.4B$214.4B$213.4B$212.4B$211.4B$210.4B$209.4B$208.4B$207.4B$206.4B
$205.4B$204.4B$203.4B$202.4B$201.4B$200.4B$199.4B$198.4B$197.4B$196.
4B$195.4B$194.4B$193.4B$192.4B$191.4B$190.4B$189.4B$188.4B$187.4B$
186.4B$185.4B$184.4B$183.4B$182.4B$181.4B$180.4B$179.4B$178.4B$177.4B
$176.4B$175.4B$174.4B$173.4B$172.4B$171.4B$170.4B$169.4B$168.4B$167.
4B$166.4B$165.4B$164.4B$163.4B$162.4B$161.4B$160.4B$159.4B$158.4B$
157.4B$156.4B$155.4B$154.4B$153.4B$152.4B$151.4B$150.4B$149.4B$148.4B
$147.4B$146.4B$145.4B$144.4B$143.4B$142.4B$91.C49.4B$90.C.C47.4B$90.C
.C46.4B$84.2B3.2C.2C44.C3B$83.3B4.B46.C3B$49.2C11.C20.4B.B2CB2C42.B3C
$48.B2CB9.C.C18.5B.B2C.C.C40.4B$49.3B9.C.C17.10B3.C39.4B$48.B.B9.2C.
3C16.7B4.2C.2C.C33.4B$48.5B8.B4.C14.14B.C.2C7.C24.4B$48.6B6.2CB3C9.4B
2.12B3.C9.C.C22.4B$48.8B4.2C.C11.18B2.2C9.C.C21.4B$49.13B12.18B13.2C.
2C3.2B14.4B$47.13B14.17B17.B4.3B12.4B$46.15B13.17B14.2CB2CB.4B11.4B5.
C11.2C$46.15B10.B2.18B12.C.C.2CB.5B9.4B5.C.C9.B2CB$45.17B.B5.23B3.B8.
C3.10B7.4B6.C.C9.3B$45.48B.B2C2.C.2C.2C4.7B7.4B5.3C.2C9.B.B$44.13B2C
13B2C21B2C2.2C.C.14B5.4B5.C4.B8.5B$43.14B2C13B2C22B6.C3.12B2.6B7.3CB
2C6.6B$42.2CB3.44B.3B6.2C2.19B10.C.2C4.8B$41.C2.C4.43B15.18B12.13B$
40.C.2C5.6B3.B2.2B2.26B17.17B14.13B$40.C7.6B13.4B2.7B3.8B17.17B13.15B
$39.2C6.9B17.6B8.5B15.18B2.B10.15B$46.4B4.2C19.3B11.4B10.B3.23B5.B.
17B$45.4B5.C21.B13.4B8.2CB.48B$44.4B7.3C33.4B7.2C21B2C13B2C13B$43.4B
10.C34.4B7.22B2C13B2C14B$42.4B5.2C40.4B6.3B.44B3.B2C$41.4B6.C42.4B9.
43B4.C2.C$40.4B5.C.C43.4B9.26B2.2B2.B3.6B5.2C.C$39.4B6.2C45.4B8.8B3.
7B2.4B13.6B7.C$38.4B55.4B6.5B8.6B17.9B6.2C$37.4B57.4B3.6B10.3B19.2C4.
4B$36.4B59.4B.6B12.B21.C5.4B$35.4B61.9B32.3C7.4B4.C9.C$34.4B63.3B2D2B
33.C10.4B3.3C5.3C$33.4B64.2BDBDB39.2C5.4B5.C3.C$32.4B66.BD2B41.C6.4B
3.2C.B.2C$31.4B66.B2DB42.C.C5.4B2.7B4.C$30.4B60.2C4.4B44.2C6.4B3.3B4.
3C$29.4B60.C.C3.4B54.10B2.C$28.4B61.C4.4B56.9B2.2C$27.4B58.C2.2C3.4B
57.9B.3B$26.4B57.3C6.4B58.11B$25.4B57.C8.4B59.12B$24.4B57.C.C6.4B58.
2CB.10B$23.4B57.BC.C5.4B58.C.CB2.8B$22.4B57.3BC5.4B59.C6.8B$11.2C8.4B
56.4B6.4B59.2C5.8B$12.C7.4B55.6B5.4B67.7B$.2C.2C3.3C7.4B55.7B4.4B67.
11B$.2C.C4.C8.4B49.B.4B.8B2.4B68.12B$4.C.3B8.4B49.2CB.17B69.12B7.2C$
4.C.2C2B6.4B50.2C18B71.11B2.2C2.C2.C$5.C2BCB5.4B52.2B.16B69.4B.8B2.C.
C2.2C$6.B2C2B3.4B56.16B69.2C4.7B3.B.2C$7.4B2.4B58.15B70.C4.7B2.2B2.C$
3.13B60.12B.B2C65.3C6.6B.2BCB.C.2C$3.12B61.11B2.BC.C64.C8.8BC.C.2C.C$
3.11B15.C11.2C34.10B5.C73.8B.C.C$4.10B14.C.C9.B2CB33.6B2C2B5.2C73.5B
4.C2.2C$3.11B6.C3.2C2.C.C9.3B34.6B2C3B79.6B4.2C.3C$4.10B5.C.C2.C2.2C.
2C9.B.B33.10B79.6B6.B4.C$2.12B5.C.C3.C.C2.B8.5B29.C.2CB.8B79.7B3.B2CB
3C$2.2C3.7B6.C.4C2.CB2C6.6B27.3CB2CB3.7B79.8B.B2C.C$3.C3.7B8.C3.C.C.
2C4.8B26.C4.B6.6B79.10B$3C5.6B7.C2.BC.C2.13B28.3C.2C4.6B79.3B2C6B$C7.
7B5.C.2BC.C5.13B28.2C2.C4.5B73.2C5.2B2C6B$8.8B4.2C.2BC5.15B30.C.C.8B
73.C5.10B$9.8B7.3B4.15B26.C.2C.C.C8B73.C.CB2.11B$9.9B7.2B.B.17B25.2C.
C.BC2B.6B7.2C65.2CB.12B$8.6B.32B28.C2.2B2.7B6.C68.15B$8.7B.17B2C13B
27.2C.B3.7B3.BC.C68.16B$9.6B2.16B2C14B24.2C2.C.C2.8B2.B2C69.16B.2B$9.
7B.27B3.B2C22.C2.C2.2C2.11B71.18B2C$8.35B4.C2.C22.2C7.11B70.17B.B2C$
8.19B2.2B2.B3.6B5.2C.C30.11B4.C64.4B2.8B.4B.B$7.18B13.6B7.C31.11B2.C.
C62.4B4.7B$3.B3.19B10.9B6.2C33.7B3.C.C61.4B5.6B$2.2CB.15B2.4B9.2C4.4B
39.8B2.2C.3C58.4B6.4B$2.2C18B2.4B9.C5.4B37.8B4.B4.C56.4B5.C3B$3.B.3B
2C12B3.4B5.3C7.4B37.7B2.B2CB3C56.4B5.C.CB$6.2B2C11B5.4B4.C10.4B35.9B.
B2C.C57.4B6.C.C$7.2B2.10B6.4B15.4B34.13B58.4B8.C$6.2B3.6B.B9.4B15.4B
33.11B59.4B6.3C$5.B2CB2.4B14.4B15.4B30.2CB.9B.B56.4B7.C$6.2C3.2B2CB
14.4B15.4B28.C.CB2.12B53.4B$13.2C16.4B15.4B27.C5.13B51.4B$32.4B15.4B
25.2C5.14B49.4B$33.4B15.4B31.14B48.4B$34.4B15.4B29.15B47.4B$35.4B15.
4B27.14B.B2C44.4B$36.4B15.4B25.4B2.5B5.BC.C42.4B$37.4B15.4B23.4B3.6B
7.C41.4B$38.4B15.4B21.4B4.6B7.2C39.4B$39.4B15.4B19.4B4.6B48.4B$40.4B
15.4B6.C10.4B.B2.3BC3B47.4B$41.4B15.4B5.3C7.11BCBC2B46.4B$42.4B15.4B
7.C5.4B.7BCBC2B45.4B$43.4B15.4B5.2C4.4B.9BC3B44.4B$44.4B15.4B4.9B2.
11B.B2C41.4B$45.4B15.4B5.6B4.9B2.BC.C39.4B$46.4B15.4B2.8B4.7B7.C38.4B
$47.4B15.15B3.6B7.2C36.4B$48.4B15.14B4.4B45.4B$49.4B15.13B5.4B43.4B$
50.4B15.10B.B2C4.4B41.4B$51.4B16.3B2CB3.BC.C4.4B39.4B$52.4B15.3B2CB6.
C5.4B37.4B$53.4B16.4B6.2C5.4B35.4B$54.4B15.3B15.4B33.4B$55.4B11.CB.2B
17.4B31.4B$56.4B9.C.CB2CB17.4B29.4B$57.4B8.C.CBCBCB17.4B27.4B$58.4B6.
2C.C.C.C2.C16.4B25.4B$59.4B6.C2.2C.4C17.4B23.4B$60.4B5.C4.C22.4B21.4B
$61.4B5.3C.C2.2C19.4B19.4B$62.4B6.2C3.2C20.4B10.C6.4B$63.4B33.4B7.3C
5.4B$64.4B33.4B5.C7.4B$65.4B33.4B4.2C5.4B$66.4B33.9B4.4B$67.4B33.6B5.
4B$68.4B32.8B2.4B$69.4B29.15B$70.4B28.14B$71.4B27.13B$72.4B24.2CB.10B
$73.4B22.C.CB3.B2C3B$74.4B21.C6.B2C3B$75.4B19.2C6.4B$76.4B27.3B$77.4B
27.2B.BC$78.4B25.B2CBC.C$79.4B23.BCBCBC.C$80.4B20.C2.C.C.C.2C$81.4B
19.4C.2C2.C$82.4B22.C4.C$83.4B17.2C2.C.3C$84.4B16.2C3.2C$85.4B$86.4B$
87.4B$88.4B$89.4B$90.4B$91.4B$92.4B$93.4B$94.4B$95.4B$96.4B$97.4B$98.
4B$99.4B$100.4B$101.4B$102.4B$103.4B$104.4B$105.4B$106.4B$107.4B$108.
4B$109.4B$110.4B$111.4B$112.4B$113.4B$114.4B$115.4B$116.4B$117.4B$
118.4B$119.4B$120.4B!
In my design the "core" (the first duplicator) is somewhat dubious - it might be causing some extra "looping" around it.

Obviously some search script over all possible glider input-outputs would be great, but it's not that clear how such script will work.

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

Re: Very Low Expansion Factor?

Post by Dean Hickerson » April 30th, 2016, 6:01 am

A stable circuit sawtooth (i.e. just attach a gun) - a project started by dvgrn is now finished!
Very nice!

While you've been finishing off the high period cases, I've been working to shrink the p240, e.f. 7/6 sawtooth as much as I could. Here's the result, with minimum repeating populaion 965, which occurs in every cycle.

Code: Select all

#C Sawtooth with expansion factor 7/6
#C Built by Dean Hickerson, 4/27-30/2016, based on a suggestion by
#C Alexey Nigin on 4/21/2016 and using a 3-glider block-pushing
#C salvo found by Michael Simkin on 4/27/2016
#C
#C The pattern consists of a stationary part (guns, a regulator, and
#C some reflectors) and a block which moves southeast.  At certain
#C times, the space between the stationary part and the block is
#C empty.  The guns emit a group of 3-glider salvos which eventually
#C reach the block, pushing it 5 units per salvo, and send return
#C gliders back toward the stationary part.  The return gliders
#C cause the deletion of subsequent salvos; when the last return
#C glider arrives, the cycle begins again.
#C
#C Define function a(n), b(n), and c(n) for  n >= 0  as follows:
#C
#C     a(0) = 0
#C     a(n) = floor((7*a(n-1)+24)/6)  for  n>=1
#C     b(0) = 0
#C     b(n) = c(n-1) + floor((a(n)+29)/6)  for  n >= 1
#C     c(n) = b(n) + floor((a(n)+24)/6)  for  n >= 0
#C
#C Then:
#C
#C After the n'th group of salvos moves the block it is  5*a(n)
#C units southeast of its initial position.
#C
#C The minimum repeating population is 965; it occurs in
#C gen  m(n) = 240*b(n) + 153.
#C
#C The first salvo of the (n+1)'th group passes the central eater
#C about gen  f(n) = 240*b(n) + 360  and hits the block in
#C gen  h(n) = 240*b(n) + 20*a(n) + 459.
#C
#C The last salvo of the (n+1)'th group passes the central eater about
#C gen  l(n) = 240*c(n) + 120.
#C
#C    n     0    1    2    3     4     5     6     7     8     9
#C a(n)     0    4    8   13    19    26    34    43    54    67
#C b(n)     0    9   19   31    45    61    79   100   124   153
#C c(n)     4   13   24   37    52    69    88   111   137   168
#C m(n)   153 2313 4713 7593 10953 14793 19113 24153 29913 36873
#C f(n)   360 2520 4920 7800 11160 15000 19320 24360 30120 37080
#C h(n)   459 2699 5179 8159 11639 15619 20099 25319 31299 38519
#C l(n)  1080 3240 5880 9000 12600 16680 21240 26760 33000 40440
#C
#C Credits:
#C The idea for sawtooth patterns with expansion factors approaching
#C 1 was suggested by Alexey Nigin:
#C http://www.conwaylife.com/forums/viewtopic.php?f=2&t=2176
#C This pattern is the smallest known example of this. It can be
#C modified, by using higher period guns, to give smaller expansion
#C factors.
#C
#C The 3-glider salvo, which pushes a block 5 units and sends a
#C return glider on a path that doesn't interfere with later salvos,
#C was found by Michael Simkin:
#C http://www.conwaylife.com/forums/viewtopic.php?f=2&t=2176#p30446
#C
#C The p120 gun was found by Michael Simkin in 2015:
#C http://conwaylife.com/forums/viewtopic.php?f=2&t=1599&p=19143#p19124
#C
#C The stable reflector 'snark', used 3 times in this pattern, was
#C found by Mike Playle in 2013:
#C http://www.conwaylife.com/forums/viewtopic.php?f=2&t=1082
#C
#C The period 8 glider reflector was found by Noam Elkies in 1998.
#C
#C The glider to LWSS reflector, using 2 queen bee shuttles, was
#C found by Paul Callahan in 1994.
#C
#C The semi-snark, which doubles the periods of 4 of the p120 guns,
#C was found by 'Guam' in 2013:
#C http://conwaylife.com/forums/viewtopic.php?f=2&t=279&p=8383#p8383
x = 168, y = 217, rule = B3/S23
105bo$103b3o$102bo$102b2o5$106b2o5b2o$106b2o5b2o2$109b2o$109b2o$117bo$
34b2o81b3o$34b2o84bo$55bo30b2o5b2o24b2o6bo$8b2o43b3o30b2o8bo29bobo$8b
2o42bo38b2o4b2o28bo$52b2o28b2o6b2o6bo$82b2o5b3o2b2o2bo$11b2o59bo21b2ob
o16b2o$11b2o57b3o41b2o6b2o$52b4o13bo52b2o$8b2o41b2o2bo13b2o11bo$8b2o8b
2o30b2o2bo27b3o46b2o4b2o$2o16b3o30bo2bo30bo45b2o4b2o$bo15bo2bo31b2o30b
2o$bobo12b2ob2o78b2o15b2o$2b2o12b2ob2o3b2o73bo15bobo22b2o$17b2ob2o2b2o
70b2obo15bo24b2o$20bo74bo2bo15b2o$17b3o76b2o39bo$18bo70bo2bo44b2o$45b
2o40b2o4b2o42b3o$45bobo41bo2bo46bo$47bo37b2ob2o51bo$47b2o34b2ob2o48b2o
3bo$68b2o3bo12bo2bo46b2o$68bo3bobo8b3o3b3o48bo$69bo3bobo13bo46bo2bo$
19b2o35b2o12bo3bobob2o6bob2o47b3o$19b2o36bo10bob4o2bob2o6bobo$54b3o10b
obo3bobo11bo$16b2o36bo12bobo2bo2b2ob2o$16b2o50bo3b2o2bobo75b2o$76bobo
10b2o63bobo$77bo11b2o65bo$19b2o135b2o$19b2o49bo77b2o$69b3o58bo17b2o$
68bob3o57b3o$58bo8bo3bo61bo11b2o$58b3o5bo3bo61b2o11b2o$61bo3b3obo$60b
2o4b3o$67bo80b2o$63bo84b2o$62bobo45b2o3b2o4b2o5b2o$58b2o2b2o44b3obo2b
2o4b2o5b2o$58b2o47bo4bo$107bo2b2ob4o8bobo$75b2o29b2obobobo2bo12b2o$44b
2o29bo31bobobobo11bo5b2o$44b2o27bobo31bobob2o16bob2o$73b2o33bo17bo2b4o
$126bo4bo16b2o$41b2o78b2o4b4o17b2o$41b2o69b2o7bo7b2o3bobo$112b2o5bobo
13b2o8b2o5b2o$44b2o73b2o14bo9b2o5b2o$34bo9b2o28b2o$34b2o38b2o$33bo2bo$
34bobo$33bo2bo115b2o$33bo2bo115b2o$33bobo73b2o$34b3o73bo$107b3o51bo$
107bo52bobo$161bo2$27b2o$26bobo126b2o$26bo128b2o$25b2o$33b2o127b2o$33b
2o127bobo$164bo$36b2o111b2o13b2o$36b2o112bo$60b2o5b2o78b3o6b2o$60b2o5b
2o77bo9b2o$33b2o112b3o$33b2o28b2o85bo$63b2o84b2o4$105b2o$41b2o62bo$40b
obo3b3o54bobo43b2o3b2o$36b2o2bo7bo54b2o44bobobobo$36b2o2b2o4bobo101b5o
$46b2o103b3o$152bo3$47b2o$48bo$45b3o4bo$45bo6b3o99b2o$55bo98bo$54b2o
99b3o$157bo2$43b2ob2o$43b2obo$46bo$46b3o4b2o$44b2o3bo3b2o$43bo2b4o$43b
2obo15b2o$44bo2b3o12bobo$44bo5bo13bo$45b5o14b2o$47bo22bo$68b3o$67bo$
67b2o7$57b2o$56bobo5b2o$56bo7b2o$55b2o27bo$84bobo$69bo3b2o12b2o29b2o$
65b2obobo2b2o12b2o29b2o$64bobobobo16b2o45b2o$61bo2bobobob2o12bobo47b2o
$61b4ob2o2bo13bo$65bo4bo$61b2o2bob3o$61b2o3b2o$88b3o$58b2o$58b2o28bobo
$87b5o$86b2o3b2o$86b2o3b2o$66bo$67bo$58b3o6bo$58b2o3b3o$50b2o10bo$51bo
10bo$51bobo9bo$52b2o10bo23b2o$88b2o3$127bo$127b3o$130bo$129b2o6bo$136b
obo$137bo3$69b2o53b2o$69b2o53b2o6b2o$92b2o38b2o$66b2o24bo$66b2o22bobo
48b2o4b2o$90b2o49b2o4b2o2$69b2o4b2o49b2o$69b2o4b2o48bobo22b2o$125bo24b
2o$84b2o38b2o$84b2o6b2o53b2o$92b2o53b2o3$80bo$79bobo$80bo6b2o$87bo$88b
3o$90bo2$104bo$102b4o$96b2o3bobob2o46bo10b2o$96b2o2bo2bob3o46bo9bobo$
101bobob2o48bo10bo$102b4o49bo10b2o$104bo12bo34b3o3b2o$116b3o31bo6b3o$
115b5o30bo$114bobobobo30bo$114b2o3b2o3$158b2o$158b2o4$117b2o$117b2o!

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: Very Low Expansion Factor?

Post by chris_c » April 30th, 2016, 9:17 am

Here is a stable regulator with repeat time 963. The signal to be regulated has to come in via an edge-shooter but I don't see any problem with that.

Code: Select all

x = 385, y = 372, rule = LifeHistory
383.BC$382.2CB$381.2B2C$380.4B$379.4B$378.4B$377.4B$376.4B$375.4B$
374.4B$373.4B$372.4B$371.4B$370.4B$369.4B$368.4B$367.4B$366.4B$365.4B
$364.4B$363.4B$362.4B$361.4B$360.4B$359.4B$358.4B$357.4B$356.4B$355.
4B$354.4B$353.4B$352.4B$351.4B$350.4B$349.4B$348.4B$347.4B$346.4B$
345.4B$344.4B$343.4B$342.4B$341.4B$340.4B$339.4B$338.4B$337.4B$336.4B
$335.4B$334.4B$333.4B$332.4B$331.4B$330.4B$329.4B$328.4B$327.4B$326.
4B$325.4B$324.4B$323.4B$322.4B$321.4B$320.4B$319.4B$318.4B$317.4B$
316.4B$315.4B$314.4B$313.4B$312.4B$311.4B$310.4B$309.4B$308.4B$307.4B
$306.4B$305.4B$304.4B$303.4B$302.4B$301.4B$300.4B$299.4B$298.4B$297.
4B$296.4B$295.4B$294.4B$293.4B$292.4B$291.4B$290.4B$289.4B$288.4B$
287.4B$286.4B$285.4B$284.4B$283.4B$282.4B$281.4B$280.4B$279.4B$278.4B
$277.4B$276.4B$275.4B$274.4B$273.4B$272.4B$271.4B$270.4B$269.4B$268.
4B$267.4B$266.4B$265.4B$264.4B$263.4B$262.4B$261.4B$260.4B$259.4B$
258.4B$257.4B$256.4B$255.4B$254.4B$253.4B$252.4B$251.4B$250.4B$249.4B
$248.4B$247.4B$246.4B$245.4B$244.4B$243.4B$242.4B$241.4B$240.4B$239.
4B$238.4B$237.4B$236.4B$235.4B$234.4B$233.4B$232.4B$231.4B$230.4B$
229.4B$228.4B$227.4B$226.4B$225.4B$224.4B$223.4B$222.4B$221.4B$220.4B
$219.4B$218.4B$217.4B$216.4B$215.4B$214.4B$213.4B$212.4B$211.4B$210.
4B$209.4B$208.4B$207.4B$206.4B$205.4B$204.4B$203.4B$202.4B$201.4B$
200.4B$199.4B$198.4B$197.4B$196.4B$195.4B$194.4B$193.4B$192.4B$191.4B
$190.4B$189.4B$188.4B$187.4B$186.4B$185.4B$184.4B$183.4B$182.4B$123.A
57.4B$121.3A56.4B$120.A58.4B$119.A.A6.D49.4B$118.BA.A5.BD.D46.4B$117.
3BA5.2B2D46.4B$115.4B6.4B46.4B$113.6B5.4B46.4B$112.7B4.4B46.4B$105.B.
4B.8B2.4B46.4B$104.2AB.17B46.4B$104.2A18B46.4B$105.2B.16B45.4B$108.
16B44.4B$109.15B43.4B$110.12B.B2A40.4B$110.11B2.BA.A38.4B$105.4B2.10B
5.A37.4B$106.4B.6B2A2B5.2A35.4B$107.10B2A3B40.4B$108.13B40.4B$B106.A.
2A10B39.4B$2B103.3AB2A3B.7B37.4B$3B62.2A37.A4.B.4B.6B36.4B$4B61.A.A
37.3A.2A.9B6.A29.4B$.4B62.A4.2A33.2A2.A.8B4.3A28.4B$2.4B57.4A.2A2.A2.
A34.A.A.8B2.A30.4B$3.4B56.A2.A.A.A.A.2A30.A.2A.A.A8B2.2A28.4B$4.4B57.
BABABA.A33.2A.A.BA2B.10B27.4B$5.4B57.B2ABA.A36.A2.2B2.8B28.4B26.B$6.
4B57.2B.BA26.2A9.2A.B3.8B27.4B26.2B$7.4B55.3B28.B2A2B5.2A2.A.A2.8B.2B
23.4B26.3B$8.4B45.2A6.4B29.4B4.A2.A2.2A2.13B20.4B26.4B$9.4B45.A6.B2A
3B25.6B5.2A7.13B19.4B26.4B$10.4B44.A.AB3.B2A3B25.5B15.14B17.4B26.4B$
11.4B44.2AB.10B22.6B14.14B17.4B26.4B$12.4B45.13B20.7B13.4B2.10B15.4B
26.4B$13.4B44.14B20.6B12.4B2.11B.B12.4B26.4B$14.4B43.15B19.7B10.4B.
14B2A10.4B26.4B$15.4B23.A20.8B2.4B18.6B4.26B2A9.C3B26.4B$16.4B21.A.A
19.6B5.4B17.7B2.28B9.BCBC26.4B$17.4B17.BA2.A.A17.9B4.4B16.7B2.28B8.2B
2C26.4B$18.4B13.B.BA.2A2.3A14.4B4.2A5.4B14.9B.24B11.4B26.4B$19.4B11.
2A2BAB2.2A3.A12.4B5.A7.4B13.32B2A10.4B26.4B$20.4B10.2AB.B3A2.3A12.4B
7.3A5.4B7.B4.20B2.2B2.6B2AB.B6.4B26.4B$21.4B10.B2.2B2.A.A13.4B10.A6.
4B5.2AB.19B11.8B2A4.4B26.4B$22.4B14.BABAB12.4B19.4B4.2A19B15.4B.B2A3.
4B26.4B$23.4B12.3BAB12.4B21.4B4.B.17B17.2B3.B3.4B26.4B$24.4B11.4B12.
4B23.4B6.17B15.2B7.4B26.4B$25.4B11.3B11.4B25.4B5.17B14.B2AB5.4B26.4B$
26.4B10.4B.B7.4B27.4B4.15B.B2A13.2A5.4B26.4B$27.4B.B4.B.8B3.B.4B29.4B
3.12B4.BA.A18.4B26.4B$28.6B2.11B2.6B31.4B.11B9.A17.4B26.4B$28.27B32.
16B8.2A15.4B26.4B$27.29B32.15B24.4B26.4B$28.27B34.13B24.4B26.4B$28.
27B35.11B24.4B26.4B$29.25B37.10B7.2A14.4B26.4B$29.25B38.9B8.A13.4B26.
4B$31.21B41.7B9.A.AB9.4B26.4B$32.2B.13B.2B43.6B10.2AB8.4B26.4B$35.13B
47.5B12.3B5.4B26.4B10.A$27.A8.11B49.5B11.4B3.4B26.4B11.3A$27.3A8.9B
50.5B11.4B.4B26.4B15.A14.A$30.A7.9B51.5B11.7B26.4B15.2A12.3A$29.2A6.
10B52.5B11.5B6.A19.4B4.B.7B3.3B.2B7.A$29.5B2.13B51.5B10.7B4.3A16.4B.
13B5.5B6.2A$31.18B.2B49.5B8.9B6.A8.36B2.5B$30.2A19B2A49.4B6.10B6.2A7.
42B$30.2A17B.B2A50.4B3.13B5.5B.B2.41B2A$31.B.17B.B52.4B.10B.4B6.6B.
22B2A17B2A$33.16B56.13B3.4B4.30B2A16B.B$34.14B58.3B2D7B4.25B2.2B3.23B
$35.8B2.4B57.2BDBD8B4.21B11.10B2.9B$36.7B3.4B46.2A9.BD11B3.19B16.6B3.
8B$33.11B3.4B46.A8.B2DB3.3B2A23B19.3B4.7B$32.12B4.4B45.A.2A4.4B4.2BA
2BA22B21.B3.11B$23.2A7.12B5.4B42.2A.A.A3.4B6.2B2A15B2.8B19.2A2.12B$
22.A2.A2.2A2.11B7.4B40.A3.A4.4B8.17B5.B3.2A20.A2.12B7.2A$23.2A2.A.A2.
8B.4B6.4B38.A.2A.A3.4B7.21B7.A19.A5.11B2.2A2.A2.A$25.2A.B3.7B4.2A7.4B
36.BA.A.A3.4B8.2A5.2B.6B2.B2A.A6.3A16.2A2.4B.8B2.A.A2.2A$25.A2.2B2.7B
4.A9.4B34.3BA5.4B10.A8.7B.B2AB3A6.A20.2A4.7B3.B.2A$22.2A.A.BA2B.6B6.
3A7.4B31.4B6.4B8.3A9.6B4.B4.A27.A4.7B2.2B2.A$22.A.2A.A.A8B8.A8.3B29.
6B5.4B9.A11.6B3.2A.3A25.3A6.6B.2BAB.A.2A$26.A.A.8B18.4B26.7B4.4B23.4B
5.A.A27.A8.8BA.A.2A.A$23.2A2.A4.5B21.2A19.B.4B.8B2.4B22.5B6.A.A36.8B.
A.A$21.3A.2A4.6B21.A19.2AB.17B23.2A10.A38.5B4.A2.2A$20.A4.B6.6B21.3A
16.2A18B25.A49.6B4.2A.3A$21.3AB2AB3.7B23.A17.2B.16B22.3A49.6B6.B4.A$
23.A.2AB.8B45.16B22.A51.7B3.B2AB3A$27.10B46.15B75.8B.B2A.A$27.6B2A3B
46.12B.B2A73.10B$27.6B2A2B5.2A40.11B2.BA.A71.3B2A6B$27.10B5.A42.10B5.
A65.2A5.2B2A6B$26.11B2.BA.A42.6B2A2B5.2A65.A5.10B$26.12B.B2A43.6B2A3B
71.A.AB2.11B$25.15B45.10B73.2AB.12B$24.16B41.A.2AB.8B75.15B$21.2B.16B
39.3AB2AB3.7B74.16B$20.2A18B38.A4.B6.6B74.16B.2B$20.2AB.17B38.3A.2A4.
6B75.18B2A$21.B.4B.8B2.4B39.2A2.A4.5B74.17B.B2A$28.7B4.4B41.A.A.8B72.
4B2.8B.4B.B$29.6B5.4B36.A.2A.A.A8B71.4B4.7B$31.4B6.4B35.2A.A.BA2B.6B
7.2A61.4B5.6B$33.3BA5.4B37.A2.2B2.7B6.A61.4B6.4B$34.BA.A5.4B36.2A.B3.
7B3.BA.A60.4B5.A3B$35.A.A6.4B33.2A2.A.A2.8B2.B2A60.4B5.A.AB$36.A8.4B
31.A2.A2.2A2.11B61.4B6.A.A$37.3A6.4B31.2A7.11B60.4B8.A$39.A7.4B39.11B
4.A54.4B6.3A$48.4B39.11B2.A.A52.4B7.A$49.4B41.7B3.A.A51.4B$50.4B39.8B
2.2A.3A48.4B$51.4B37.8B4.B4.A46.4B$52.4B37.7B2.B2AB3A46.4B$53.4B35.9B
.B2A.A47.4B$54.4B34.13B48.4B$55.4B33.11B49.4B$56.4B30.2AB.9B.B46.4B$
57.4B28.A.AB2.12B43.4B$58.4B27.A5.13B41.4B$59.4B25.2A5.14B39.4B$60.4B
31.14B38.4B$61.4B29.15B37.4B$62.4B27.14B.B2A34.4B$63.4B25.4B2.5B5.BA.
A32.4B$64.4B23.4B3.6B7.A31.4B$65.4B21.4B4.6B7.2A29.4B$66.4B19.4B4.6B
38.4B$67.4B6.A10.4B.B2.3BA3B37.4B$68.4B5.3A7.11BABA2B36.4B$69.4B7.A5.
4B.7BABA2B35.4B$70.4B5.2A4.4B.9BA3B34.4B$71.4B4.9B2.11B.B2A31.4B$72.
4B5.6B4.9B2.BA.A29.4B$73.4B2.8B4.7B7.A28.4B$74.15B3.6B7.2A26.4B$75.
14B4.4B35.4B$76.13B5.4B33.4B$77.10B.B2A4.4B31.4B$79.3B2AB3.BA.A4.4B
29.4B$79.3B2AB6.A5.4B27.4B$81.4B6.2A5.4B25.4B$81.3B15.4B23.4B$78.AB.
2B17.4B21.4B$77.A.AB2AB17.4B19.4B$77.A.ABABAB17.4B10.A6.4B$76.2A.A.A.
A2.A16.4B7.3A5.4B$77.A2.2A.4A17.4B5.A7.4B$77.A4.A22.4B4.2A5.4B$78.3A.
A2.2A19.9B4.4B$80.2A3.2A20.6B5.4B$107.8B2.4B$105.15B$105.14B$105.13B$
103.2AB.10B$102.A.AB3.B2A3B$102.A6.B2A3B$101.2A6.4B$110.3B$111.2B.BA$
110.B2ABA.A$109.BABABA.A$107.A2.A.A.A.2A$107.4A.2A2.A$111.A4.A$107.2A
2.A.3A$107.2A3.2A!

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » April 30th, 2016, 6:34 pm

@chris - nice point! No need to have a transparent reflector, this makes life so much easier. BTW this is also true for the other side as well. Think how would the conduit look like, if we had edgy H->eater? we would route the input lane into the G->H on the other side.

@Dean - looks good!

I was wondering how did you managed to make sure your regulator wouldn't break up by some of the returning gliders? It has 40 (!) ticks of "maintenance":

Code: Select all

x = 39, y = 70, rule = B3/S23
2b2o$2ob2o$4o16b2o$b2o17b2o3$16b3o7bo$18bo6b2o$17bo7bobo13$20b3o$19bo
2bo$22bo$22bo$19bobo19$3b2o$b2ob2o$b4o16b2o$2b2o17b2o3$17b3o$19bo$18bo
8$36b2o$36bobo$36bo3$21b3o$20bo2bo$23bo$23bo$20bobo!
EDIT Just wanted to post the script I wrote to find the push5 together with all the results (notice it's filtering all the non diogonal or non moving cases, it includes only diogonal pulls and pushs > 0 with returning glider):

Code: Select all

import golly as g 

result = [] 

block = g.parse("2o$2o!")
gld = g.parse("bo$2bo$3o!", -10, -10)

glds = []

for i in xrange(4):
	glds.append(g.evolve(gld, i))

def SaveResults(fiename, result):
	g.new("")
	dx = 0 

	for r in result:
		g.putcells(r, dx)
		dx += 100
	
	g.save(fiename, "rle", False)
	
for y1 in xrange(-5, 5):
	if y1 == 0 or y1 == 1 or y1 == -1 or y1 == -2:
		continue 
		
	for x2 in xrange(-35, 5):
		for y2 in xrange(-35, 10):
		
			g.show(str((y1, x2, y2, len(result))))
			
			for x in xrange(-35, 5):
				for y in xrange(-35, 10):
					for i in xrange(16):
						g.new("")
						g.putcells(block)
						g.putcells(glds[0], 0, y1)
						g.putcells(glds[i / 4], x, y)
						g.putcells(glds[i % 4], x2, y2)
						g.setstep(2)
						
						fail = False 
						for i in xrange(16):
							g.step()
							pop = int(g.getpop())
							if  pop > 60 or pop == 0:
								fail = True
								break
							
							rect = g.getrect()
						
							if rect[0] > 40 or rect[1] > 40:
								fail = True
								break
							
						if fail:
							continue
						
						
						if int(g.getpop()) != 9:
							continue 
							
						rect = g.getrect()
						
						if rect[0] > -100 or rect[1] > -100:
							continue
							
						if len(g.getcells([-50, -50, 100, 100])) != 8:
							continue 
						
						if len(g.getcells([0, 0, 2, 2])) == 8:
							continue 
						
						cells = g.getcells([-50, -50, 100, 100])
						
						x = cells[0]
						y = cells[1]
						
						if x != y:
							continue 
						
						#if x - y == 1 and x > 5: 
						#	g.exit("SUCCESS")
						#else:
						#	continue 
						
						g.reset()
						cells = g.getcells(g.getrect())
						
						result.append(cells)
						g.show(str(len(result)))

						file = r'C:\Users\SimSim314\Documents\GitHub\GlueNew' + "\\" + "results.rle"
						SaveResults(file, result)
Pay attention the file location is at my local disk. I posted this just for reference - to run it you'll need to replace the "file" parameter.
Attachments
results.rle
(16.88 KiB) Downloaded 314 times

User avatar
dvgrn
Moderator
Posts: 10671
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Very Low Expansion Factor?

Post by dvgrn » May 1st, 2016, 8:58 am

chris_c wrote:Here is a stable regulator with repeat time 963. The signal to be regulated has to come in via an edge-shooter but I don't see any problem with that.
simsim314 wrote:@chris - nice point! No need to have a transparent reflector, this makes life so much easier. BTW this is also true for the other side as well.
Here's a universal regulator with repeat time 936 using an inserter for the test input. There's quite a bit more room for improvement here.

The left side can be adjusted down trivially by 80 ticks at least, possibly more if the glider inserter is replaced with one with a different timing. It seems to be there must be a similar improvement available on the right side: I got stuck having to use a ridiculously slow component, because I needed a color-changing 90-degree turner, and the d2 options in simeks' collection all have painfully large delays.

Code: Select all

x = 332, y = 386, rule = LifeHistory
330.C$329.C$329.3C226$94.A$92.3A$91.A$90.A.A$90.A.A$22.E68.A$23.E72.C
$21.3E71.C$95.3C2$75.2A$75.2A$21.2A$22.A18.A$22.A.A14.3A$23.2A13.A56.
2A$38.2A55.A.A$97.A$88.2A7.2A$18.2A68.2A$18.2A$78.A.2A$76.3A.2A$75.A$
76.3A.2A$78.2A2.A$81.A.A$20.2A55.A.2A.A.A16.A$19.A.A55.2A.A2.A15.3A$
19.A60.A17.A$18.2A60.2A16.2A$78.2A2.A.A$77.A2.A2.2A$78.2A3$29.2A52.2A
19.A$29.2A53.A18.A.A$37.2A45.A.A16.A.A5.2A$37.A47.2A14.A.A.2A3.A.A$
38.3A60.2A2.A4.A$40.A64.A2.2A.4A$87.2A15.2A.A.A.A2.A$39.A47.2A16.A.A.
A.A$38.A.A64.A.A.2A$38.A.A65.A$37.2A.3A$43.A75.2A$37.2A.3A58.2A7.2A7.
A$37.2A.A60.2A7.2A5.A.A$117.2A$29.2A$20.2A7.2A$21.A$21.A.A$22.2A60.A$
84.3A$87.A19.2A$86.A21.A$42.2A37.2A3.2A17.3A$42.2A37.A2.2A19.A$82.2A
2.2A$84.A.A$84.A2.A$85.2A$27.A$26.A.A60.A$26.A.A59.A$3.2A18.A3.A60.3A
$4.A18.4A56.A.A$2.A81.2A2D$2.5A14.4A59.AD.D$7.A13.A2.A29.2A29.D58.2A$
4.3A12.A.A31.A.A28.2D58.2A$3.A15.2A26.2A4.A22.2A$3.4A38.A2.A2.2A.4A
17.A.A29.2A11.A$.2A3.A3.2A33.2A.A.A.A.A2.A8.A8.A31.2A10.A.A$A2.3A4.2A
36.A.A.A.A11.3A5.2A43.A.A31.2A$2A.A44.A.A.2A15.A48.2A.3A2.2A25.A$3.A
45.A18.2A54.A2.A23.A.A$3.2A78.2A33.2A.3A3.A.A21.2A$62.2A19.A13.2A19.
2A.A6.2A$53.2A7.A18.A.A13.A.A$11.2A40.2A5.A.A7.A10.2A16.A$12.A47.2A7.
A.A27.2A$9.3A57.A.A$9.A54.2A4.A$34.A28.A.A15.2A$34.3A26.A17.A.A31.2A
13.2A$37.A24.2A19.A31.2A13.2A$36.2A45.2A15.2A$50.2A47.A2.A$51.A46.A.
2A59.A$48.3A47.A60.3A$48.A48.2A59.A$112.2A44.2A$72.2A38.A$46.2A24.2A
39.3A$39.2A5.A.A66.A$39.2A7.A$48.2A2$35.A120.2A$34.A.A.2A110.2A4.A.A$
34.A.A.A.A96.2A11.2A5.2A$31.2A.A.A.A.A2.A41.A47.2A2.2A$31.A2.A2.2A.4A
39.3A46.A.A19.2A$33.2A4.A42.A49.A22.A$39.A.A40.2A47.2A19.3A$40.2A110.
A10$29.2A38.2A19.2A$30.A38.2A19.2A$28.A$28.5A14.2A$33.A13.A20.2A$30.
3A12.A.A21.A$29.A15.2A19.3A$29.4A33.A$27.2A3.A3.2A$26.A2.3A4.2A$26.2A
.A$29.A$29.2A3$37.2A$38.A18.A$35.3A19.3A$35.A24.A$59.2A3$79.A$78.A.A$
77.A.A$75.3A2.3A3.2A$69.2A3.A3.2A3.A2.2A$62.2A5.A.A3.3A2.2A.A$62.2A7.
A5.A.A2.A$71.2A5.A.A$79.A$58.A$57.A.A.2A$57.A.A.A.A$54.2A.A.A.A.A2.A$
54.A2.A2.2A.4A$56.2A4.A$62.A.A$63.2A!
Anyone see a better combination, to knock this down into the 800s anyway? At the moment there seems to be room for an edge shooter for the regulated signal as well. Just need to make matching mod-8 changes on the left and right sides.

The key improvement here was the staged-recovery component at the bottom. You can get two gliders out much faster from one of the old Callahan 2G-to-H circuits, and it's easy to find an extra glider output that can clean it back up again in plenty of time.

Could probably use something similar on the right side, in a pinch -- there are quite a few other options for getting a signal out fast and patching up the circuit later. The current regulator output could be re-routed and used for cleanup, as long as the new component produced an extra glider instead...!

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: Very Low Expansion Factor?

Post by chris_c » May 1st, 2016, 9:25 am

dvgrn wrote: The key improvement here was the staged-recovery component at the bottom.
That looks like a good idea. Sorry for posting an incomplete pattern but I wonder if anyone can hook up the rest of this pattern. The right hand side is already pretty fast and edge-shooting...

Code: Select all

x = 202, y = 229, rule = LifeHistory
C$.2C$2C138$187.A$185.3A$184.A$184.2A7$165.2A30.A$164.A2.A27.3A$165.A
.A26.A$166.A27.2A9$177.C$165.C10.C$166.C9.3C14.2A$164.3C26.A.A$194.2A
2$191.2A$170.2C20.A$169.C.C17.3A$169.C19.A$168.2C$160.2A$159.A.A$150.
A8.A12.2A$150.3A5.2A11.A.A23.A$153.A17.A23.3A$152.2A16.2A22.A$167.2A
9.2A14.2A$146.2A19.A10.2A$146.A18.A.A$144.A.A7.A10.2A$144.2A7.A.A$
153.A.A$148.2A4.A$147.A.A15.2A$147.A17.A.A$146.2A19.A$167.2A$197.2A$
192.2A2.A2.A$177.2A13.A.A2.2A$176.A.A16.2A$176.A19.A$156.2A17.2A16.A
2.A.2A$156.2A34.A.A.2A.A$193.A.A$194.A2.2A$195.2A.3A$201.A$195.2A.3A$
195.2A.A2$169.A17.2A$167.3A8.2A7.2A$166.A12.A$166.2A11.A.A$180.2A4$
200.2A$145.2A53.2A$146.A$146.A.A$147.2A2$185.A$184.A.A$184.A.A$185.A$
182.3A$182.A4$161.2A$161.2A!
EDIT: This breaks 800 ticks

Code: Select all

x = 336, y = 363, rule = LifeHistory
334.C$333.C$333.3C195$23.2A11.A$23.2A10.A.A$35.A.A2.2A3.A3.A$34.2A.2A
2.A2.A.A2.3A82.C$38.A.A3.A.A5.A80.C$34.2A.A2.4A.A5.2A80.3C$34.2A.A.A
3.A$38.A.A3.A$39.A.A3.A22.A$40.A3.2A22.3A$71.A6.3C$70.2A8.C$79.3C$31.
2A$31.2A$16.2A92.A$15.A2.A89.3A$14.A.2A89.A$14.A50.2A40.2A$13.2A51.A$
28.2A36.A.A$28.A38.2A$29.3A28.2A$31.A10.2A16.A.A$41.A.A18.A18.2A$3.2A
36.A20.2A17.A.A4.2A30.A$4.A35.2A41.A3.A2.A27.3A$2.A80.2A3.A.A26.A$2.
5A14.2A66.A27.2A$7.A13.A45.2A$4.3A12.A.A45.2A$3.A15.2A27.A2.A.2A$3.4A
41.4A.A$.2A3.A3.2A41.A.A$A2.3A4.2A38.2A2.2A$2A.A46.A$3.A47.A$3.2A45.
2A31.2A$82.A2.A$83.A.A30.2A$11.2A69.2A2.2A28.A.A$12.A71.2A2.A28.2A$9.
3A70.2A2.2A$9.A73.A.A28.2A$82.A2.A29.A$83.2A27.3A$112.A4$95.2A$94.A.A
23.A$94.A23.3A$84.2C7.2A22.A$83.C.C15.2A14.2A$83.C17.2A$82.2C$74.2A$
73.A.A$64.A8.A$64.3A5.2A$67.A$66.2A$81.2A$81.A$79.A.A38.2A$68.A10.2A
34.2A2.A2.A$67.A.A30.2A13.A.A2.2A$67.A.A29.A.A16.2A$62.2A4.A30.A19.A$
61.A.A15.2A17.2A16.A2.A.2A$61.A17.A.A33.A.A.2A.A$60.2A19.A34.A.A$81.
2A34.A2.2A$118.2A.3A$124.A$118.2A.3A$118.2A.A2$70.2A38.2A$70.2A29.2A
7.2A$102.A$102.A.A$103.2A4$123.2A$83.A39.2A$81.3A$80.A$80.2A2$108.A$
107.A.A$107.A.A$108.A$59.2A44.3A$60.A44.A$60.A.A$58.2A.2A$57.A.A$57.A
.A$58.A5$42.2A$42.2A2$75.2A$75.2A10.2A$62.2A23.A.A$62.A.A24.A4.2A$64.
A20.4A.2A2.A2.A$55.2A7.2A19.A2.A.A.A.A.2A$55.2A31.A.A.A.A$89.2A.A.A$
45.A.2A44.A$9.2A32.3A.2A$10.A31.A36.2A$8.A34.3A.2A31.A7.2A$8.5A14.2A
16.2A2.A30.A.A5.2A$13.A13.A20.A.A30.2A$10.3A12.A.A16.A.2A.A.A16.A$9.A
15.2A17.2A.A2.A15.3A$9.4A34.A17.A$7.2A3.A3.2A29.2A16.2A$6.A2.3A4.2A
27.2A2.A.A$6.2A.A34.A2.A2.2A$9.A35.2A44.2A$9.2A80.A$92.3A$94.A$17.2A$
18.A$15.3A$15.A29.2A$45.2A4$44.A$44.3A$47.A$46.2A$59.A12.A$58.A.A8.A.
A.A$59.A8.A.2A.3A$68.A7.A$67.2A6.2A2$56.2A$49.2A5.A.A$49.2A7.A$58.2A
2$45.A$44.A.A.2A$44.A.A.A.A$41.2A.A.A.A.A2.A$41.A2.A2.2A.4A$43.2A4.A$
49.A.A$50.2A!
EDIT2: Had to push everything outwards by 1 cell to make it work in the "explosive" case. Note that this problem exists in dvgrn's latest version also ;)
Last edited by chris_c on May 1st, 2016, 1:08 pm, edited 1 time in total.

User avatar
simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Very Low Expansion Factor?

Post by simsim314 » May 1st, 2016, 1:07 pm

chris_c wrote:EDIT: This breaks 800 ticks
Unfortunately this one has a problem with the special case:

Code: Select all

x = 123, y = 165, rule = LifeHistory
23.2A11.A$23.2A10.A.A$35.A.A2.2A3.A3.A$34.2A.2A2.A2.A.A2.3A$38.A.A3.A
.A5.A$34.2A.A2.4A.A5.2A$34.2A.A.A3.A$38.A.A3.A$39.A.A3.A22.A$40.A3.2A
22.3A$71.A$70.2A2$31.2A$31.2A$16.2A90.A$15.A2.A87.3A$14.A.2A67.2A18.A
$14.A50.2A18.A19.2A$13.2A51.A16.A.A$28.2A36.A.A14.2A$28.A38.2A$29.3A
28.2A$31.A10.2A16.A.A18.2A$41.A.A18.A18.2A$3.2A36.A20.2A22.2A30.A$4.A
35.2A43.A2.A27.3A$2.A83.A.A26.A$2.5A14.2A64.A27.2A$7.A13.A45.2A$4.3A
12.A.A45.2A$3.A15.2A27.A2.A.2A$3.4A41.4A.A$.2A3.A3.2A41.A.A$A2.3A4.2A
38.2A2.2A$2A.A46.A$3.A47.A$3.2A45.2A31.2A$82.A2.A$83.A.A28.2A$11.2A
69.2A2.2A26.A.A$12.A71.2A2.A26.2A$9.3A70.2A2.2A$9.A73.A.A26.2A$82.A2.
A27.A$83.2A25.3A$89.C20.A$79.C8.C$77.C.C8.3C$78.2C$93.2A$92.A.A23.A$
83.2C7.A23.3A$82.C.C6.2A22.A$82.C16.2A14.2A$81.2C16.2A$73.2A$72.A.A$
63.A8.A$63.3A5.2A$66.A$65.2A$80.2A$80.A$78.A.A$67.A10.2A38.2A$66.A.A
44.2A2.A2.A$66.A.A29.2A13.A.A2.2A$61.2A4.A29.A.A16.2A$60.A.A15.2A17.A
19.A$60.A17.A.A15.2A16.A2.A.2A$59.2A19.A32.A.A.2A.A$80.2A32.A.A$115.A
2.2A$116.2A.3A$122.A$116.2A.3A$116.2A.A$69.2A$69.2A37.2A$99.2A7.2A$
100.A$100.A.A$101.2A4$82.A38.2A$80.3A38.2A$79.A$79.2A3$106.A$105.A.A$
105.A.A$58.2A46.A$59.A43.3A$59.A.A41.A$57.2A.2A$56.A.A$56.A.A$57.A5$
41.2A$41.2A2$74.2A$74.2A10.2A$61.2A23.A.A$61.A.A24.A4.2A$63.A20.4A.2A
2.A2.A$54.2A7.2A19.A2.A.A.A.A.2A$54.2A31.A.A.A.A$88.2A.A.A$44.A.2A44.
A$8.2A32.3A.2A$9.A31.A36.2A$7.A34.3A.2A31.A7.2A$7.5A14.2A16.2A2.A30.A
.A5.2A$12.A13.A20.A.A30.2A$9.3A12.A.A16.A.2A.A.A16.A$8.A15.2A17.2A.A
2.A15.3A$8.4A34.A17.A$6.2A3.A3.2A29.2A16.2A$5.A2.3A4.2A27.2A2.A.A$5.
2A.A34.A2.A2.2A$8.A35.2A44.2A$8.2A80.A$91.3A$93.A$16.2A$17.A$14.3A$
14.A29.2A$44.2A4$43.A$43.3A$46.A$45.2A$58.A12.A$57.A.A8.A.A.A$58.A8.A
.2A.3A$67.A7.A$66.2A6.2A2$55.2A$48.2A5.A.A$48.2A7.A$57.2A2$44.A$43.A.
A.2A$43.A.A.A.A$40.2A.A.A.A.A2.A$40.A2.A2.2A.4A$42.2A4.A$48.A.A$49.2A
!
BTW Chris where did you get this transparent H->G? I can't find it in any published "latest" collection:

Code: Select all

x = 34, y = 32, rule = B3/S23
23bo$21b3o$20bo$20b2o7$b2o30bo$o2bo27b3o$bobo26bo$2bo27b2o11$29b2o$29b
obo$30b2o$14b3o$15bo11b2o$15b3o10bo$25b3o$25bo!
EDIT Well you figured it out...

EDIT2 @dvgrn: simeks's collection is great, do we have something like it for 90 degree reflectors?
Last edited by simsim314 on May 1st, 2016, 1:14 pm, edited 1 time in total.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: Very Low Expansion Factor?

Post by chris_c » May 1st, 2016, 1:12 pm

simsim314 wrote:
chris_c wrote:EDIT: This breaks 800 ticks
Unfortunately this one has a problem with the special case:
Yes, I just posted an edit moments ago. I think it still breaks 800 though.
simsim314 wrote: BTW Chris where did you get this transparent H->G? I can't find it in any published "latest" collection:
It's sitting in my local copy of the H->G collection but I don't know when I added it or where from.... hmmm...

EDIT: No it definitely exists as SW7T255 in the Oct 26th version of the H-G collection.
Last edited by chris_c on May 1st, 2016, 1:23 pm, edited 1 time in total.

User avatar
dvgrn
Moderator
Posts: 10671
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: Very Low Expansion Factor?

Post by dvgrn » May 1st, 2016, 1:17 pm

chris_c wrote:Sorry for posting an incomplete pattern but I wonder if anyone can hook up the rest of this pattern. The right hand side is already pretty fast and edge-shooting...
Easy enough. Just in case anyone is reading who might want to follow along with the process, here's a step-by-step analysis.

First add Snarks to see what mod-8 adjustment needs to be applied:

Code: Select all

x = 113, y = 109, rule = LifeHistory
25.2A$26.A5.2B11.A$26.A.AB.3B.B7.3A$27.2AB.6B5.A$29.8B5.2A$29.9B.5B$
23.B4.14B$22.2AB.19B$22.2A22B$23.24B$26.22B$25.22B$26.20B$27.19B$26.
21B$24.2AB.15B.4B$23.A.AB3.10B5.4B$23.A6.10B6.4B$22.2A5.13B5.4B$28.
15B5.4B$27.16B6.4B45.A$26.17B7.4B42.3A$27.16B8.4B40.A$28.13B11.4B39.
2A$28.5B2A2B.3B12.4B$30.3B2A2B2.4B11.3B$30.8B3.2A12.2B$29.8B4.A14.B$
29.8B5.3A$29.7B8.A$29.7B40.2A30.A$30.6B7.A31.A2.A27.3A$30.6B6.A.A31.A
.A26.A$31.5B6.A.A32.A27.2A$31.6B4.2A.3A$30.6B6.B4.A$30.7B3.B2AB3A$31.
8B.B2A.A$31.10B$30.3B2A6B$24.2A3.4B2A6B$25.A2.13B48.E$23.2BABA14B33.E
12.E$24.2B2A14B34.E11.3E$25.18B31.3E27.2A$26.18B40.C2B17.A.A$27.17B.
2B30.2B3.BC3B18.2A$28.18B2A29.3B.2B3CB$27.17B.B2A29.BCBC6B15.2A$26.
14B.4B.B31.B2C2D4B16.A$25.4B2.9B38.BCDBDB16.3A$24.4B4.7B10.2A28.BD3B
16.A$23.4B6.4B11.A.A27.B2DB$22.4B5.A3B7.2A4.A22.2A$21.4B5.A.AB6.A2.A
2.2A.4A17.A.A$20.4B6.A.A7.2A.A.A.A.A2.A8.A8.A12.2A$19.4B8.A11.A.ABABA
B10.3A5.2A11.A.A23.A$18.4B6.3A12.A.AB2AB14.A17.A23.3A$17.4B7.A15.AB.
2B14.2A16.2A22.A$16.4B27.3B28.2A9.2A14.2A$3.2A10.4B28.4B6.2A19.A10.2A
$4.A9.4B27.3B2AB6.A18.A.A$2.A10.4B26.5B2AB3.BA.A7.A10.2A$2.5A5.4B5.2A
20.10B.B2A7.A.A$7.A4.4B5.A20.13B9.A.A$4.3AB2.7B.BA.A19.14B4.2A4.A$3.A
.2B3.7B.B2A19.15B3.A.A15.2A$3.4A12B20.4B2.8B5.A17.A.A$.2A2.BA3B2A7B
19.4B5.6B4.2A19.A$A2.3AB.2B2A7B18.4B4.9B11.6B7.2A$2A.A.B3.10B6.A10.4B
5.2A4.4B9.7B37.2A$3.A8.8B5.3A7.4B7.A5.4B7.8B32.2A2.A2.A$3.2A7.9B7.A5.
4B5.3A7.4B5.9B17.2A13.A.A2.2A$13.3B2.4B5.2A4.4B6.A10.4B3.4B.5B16.A.A
16.2A$11.5B3.4B4.9B19.4B.4B.7B15.A19.A$11.2A7.4B5.6B21.7B2.2B2E3B14.
2A16.A2.A.2A$12.A8.4B2.8B22.5B4.B2E2B32.A.A.2A.A$9.3A10.15B20.5B3.6B
33.A.A$9.A13.14B19.7B2.6B34.A2.2A$24.13B18.4B.4B.7B34.2A.3A$25.10B.B
2A15.4B3.4B.6B40.A$27.3B2AB3.BA.A13.4B5.9B35.2A.3A$27.3B2AB6.A12.4B7.
8B35.2A.A$29.4B6.2A10.4B9.8B$29.3B18.4B11.7B8.A17.2A$26.AB.2B18.4B25.
3A8.2A7.2A$25.A.AB2AB16.4B25.A12.A$25.A.ABABAB14.4B26.2A11.A.A$22.2A.
A.A.A.A2.A11.4B41.2A$22.A2.A2.2A.4A10.4B$24.2A4.A13.4B$30.A.A10.4B$
31.2A9.4B65.2A$41.4B11.2A53.2A$40.4B13.A$39.4B14.A.A$38.4B16.2A$37.4B
$36.4B56.A$95.A.A$95.A.A$96.A$93.3A$93.A4$72.2A$72.2A!
#C [[ STOP 674 ]]
We can hope we won't have to use so many Snarks, but they can be added or subtracted without changing the mod-8 timing... which turns out to be 5. (The right-side glider gets back to eater-building position at T=674, but with this sample circuit, the left one is getting there 173 = 8N+5 ticks later.)

The temporary color-changing component I put in there is a d6 -- 6 mod-8 -- so we have to swap that out for a d1 -- (6-5) mod 8 -- to get the mod-8 phase to come out right. Sadly, we have a 180-degree d1 with a return lane 46 cells away, but the offset we need is 48, so we'll have to throw in a couple of Snarks. There's a d1 with a transparent lane adjacent to the output lane, but it only works if the conduit is on the other side:

Code: Select all

x = 85, y = 118, rule = LifeHistory
33.A11.2A$32.A.A9.B2AB$24.A3.2A2.A.A9.3B$23.A.A2.A2.2A.2A9.B.B$23.A.A
3.A.A2.B8.5B$24.A.4A2.AB2A6.6B$26.A3.A.A.2A4.8B$8.2A15.A2.BA.A2.13B$
9.A14.A.2BA.A5.13B$9.A.AB11.2A.2BA5.15B$10.2AB.2A12.3B4.15B$12.2B2AB
12.2B.B.17B$12.4B6.29B$12.6B3.16B2A13B$13.6B2.16B2A14B$13.7B.27B3.B2A
$4.2A6.35B4.A2.A$5.A5.20B2.2B2.B3.6B5.2A.A$5.A.AB2.17B14.6B7.A$6.2AB.
16B14.9B6.2A$8.17B15.2A4.4B10.2A$8.18B15.A5.4B9.A$10.16B12.3A7.4B10.A
$11.8B2.3B.B2A10.A2.3A5.4B5.5A$12.8B5.BA.A11.A2.A5.5B3.A$13.8B7.A10.
2A2.A.AB.7B2.B3A$11.5B2.4B6.2A14.2AB.8B2.2B.A$11.2A6.4B23.12B4A$12.A
7.4B22.7B2A3BAB2.2A$9.3A9.4B21.7B2A4B3A2.A5.A$9.A12.4B20.13B2.A.2A3.
3A$23.4B18.8B8.A5.A$24.4B16.9B7.2A5.2A$25.4B14.4B2.3B$26.4B12.4B3.5B$
27.4B10.4B7.2A$28.4B8.4B8.A$29.4B6.4B10.3A$30.4B4.4B13.A$31.4B2.4B7.
2A30.A$32.8B7.A2BA7.B19.3A$33.6B8.BABAB5.2B18.A$34.4B9.2BA9B18.2A$33.
6B10.10B$32.8B11.8B$31.4B2.4B10.8B$30.4B4.4B9.8B$29.4B6.4B8.8B$28.4B
8.4B7.8B$27.4B10.4B6.8B$26.4B31.E$25.4B18.E12.E$24.4B20.E11.3E$23.4B
19.3E27.2A$22.4B30.C2B17.A.A$21.4B24.2B3.BC3B18.2A$20.4B25.3B.2B3CB$
19.4B26.BCBC6B15.2A$18.4B28.B2C2D4B16.A$17.4B29.BCDBDB16.3A$16.4B31.B
D3B16.A$3.2A10.4B31.B2DB$4.A9.4B25.2A$2.A10.4B25.A.A$2.5A5.4B5.2A10.A
8.A12.2A$7.A4.4B5.A11.3A5.2A11.A.A23.A$4.3AB2.7B.BA.A14.A17.A23.3A$3.
A.2B3.7B.B2A14.2A16.2A22.A$3.4A12B31.2A9.2A14.2A$.2A2.BA3B2A7B31.A10.
2A$A2.3AB.2B2A7B29.A.A$2A.A.B3.10B18.A10.2A$3.A8.8B16.A.A$3.2A7.9B15.
A.A$13.3B2.4B9.2A4.A$11.5B3.4B7.A.A15.2A$11.2A7.4B6.A17.A.A$12.A8.4B
4.2A19.A$9.3A10.4B11.6B7.2A$9.A13.4B9.7B37.2A$24.4B7.8B32.2A2.A2.A$
25.4B5.9B17.2A13.A.A2.2A$26.4B3.4B.5B16.A.A16.2A$27.4B.4B.7B15.A19.A$
28.7B2.2B2E3B14.2A16.A2.A.2A$29.5B4.B2E2B32.A.A.2A.A$29.5B3.6B33.A.A$
28.7B2.6B34.A2.2A$28.3B.4B.7B34.2A.3A$28.2B3.4B.6B40.A$28.B5.9B35.2A.
3A$35.8B35.2A.A$36.8B$37.7B8.A17.2A$50.3A8.2A7.2A$49.A12.A$49.2A11.A.
A$63.2A4$83.2A$28.2A53.2A$29.A$29.A.A$30.2A2$68.A$67.A.A$67.A.A$68.A$
65.3A$65.A4$44.2A$44.2A!
If you analyze this one, you'll discover that the timing is mysteriously 4 ticks off. This is because of the placement of the 180-degree color-changing component -- effectively, the glider travels a half-diagonal less distance than it would if a color-preserving reflector came after it in the chain.

In other words, the following version can be adjusted to get the two gliders in the right phase, where the above version couldn't -- and the only difference is that the final Snark is now after the d1 reflector, instead of before it:

Code: Select all

x = 110, y = 134, rule = LifeHistory
54.A$52.3A$51.A$51.2A$49.4B10.A$40.2A7.2B10.3A$41.A6.4B8.A$41.A.AB2.
7B6.2A$42.2AB.9B2.5B$44.16B$44.15B2A$44.15B2A$45.13B.B$45.13B$44.13B$
43.4B.8B$42.4B2.7B$41.4B2.11B$40.4B3.12B$40.3B4.12B7.2A$40.2B6.11B2.
2A2.A2.A$40.B5.4B.8B2.A.A2.2A$46.2A4.7B3.B.2A$35.B11.A4.7B2.2B2.A$34.
2B8.3A6.6B.2BAB.A.2A$33.3B8.A8.8BA.A.2A.A$32.4B17.8B.A.A$31.4B19.5B4.
A2.2A$16.A13.4B20.6B4.2A.3A$16.3A10.4B20.6B6.B4.A$19.A8.4B21.7B3.B2AB
3A3.2A30.A$18.2A7.4B23.8B.B2A.A4.A2.A27.3A$18.5B3.4B24.10B9.A.A26.A$
20.3B2.4B24.3B2A6B10.A27.2A$10.2A7.9B19.2A5.2B2A6B$10.A8.8B21.A5.10B$
7.2A.A.B3.10B22.A.AB2.11B$7.A2.3AB.2B2A7B23.2AB.12B$8.2A2.BA3B2A7B25.
15B$10.4A12B25.16B$10.A.2B3.7B.B2A23.16B.2B$11.3AB2.7B.BA.A22.18B2A$
14.A4.4B5.A21.17B.B2A$9.5A5.4B5.2A19.4B2.8B.4B.B$9.A10.4B24.4B4.7B38.
2A$11.A9.4B23.3B5.6B39.A.A$10.2A10.4B22.2B6.4B42.2A$23.4B21.B5.A3B$
24.4B25.A.AB42.2A$25.4B24.A.A44.A$26.4B24.A42.3A$27.4B20.3A43.A$28.4B
19.A$29.4B6.4B$30.4B4.4B$31.4B2.4B39.2A$32.8B39.A.A23.A$33.6B40.A23.
3A$34.4B40.2A22.A$33.6B47.2A14.2A$32.8B46.2A$31.4B2.4B$30.4B4.4B$29.
4B6.4B$28.4B8.4B$27.4B10.4B$26.4B31.E$25.4B18.E12.E$24.4B20.E11.3E$
23.4B19.3E$22.4B30.C2B46.2A$21.4B24.2B3.BC3B41.2A2.A2.A$20.4B25.3B.2B
3CB26.2A13.A.A2.2A$19.4B26.BCBC6B25.A.A16.2A$18.4B28.B2C2D4B25.A19.A$
17.4B29.BCDBDB27.2A16.A2.A.2A$16.4B31.BD3B44.A.A.2A.A$3.2A10.4B31.B2D
B47.A.A$4.A9.4B25.2A57.A2.2A$2.A10.4B25.A.A58.2A.3A$2.5A5.4B5.2A10.A
8.A66.A$7.A4.4B5.A11.3A5.2A60.2A.3A$4.3AB2.7B.BA.A14.A66.2A.A$3.A.2B
3.7B.B2A14.2A$3.4A12B31.2A43.2A$.2A2.BA3B2A7B31.A35.2A7.2A$A2.3AB.2B
2A7B29.A.A36.A$2A.A.B3.10B18.A10.2A37.A.A$3.A8.8B16.A.A49.2A$3.2A7.9B
15.A.A$13.3B2.4B9.2A4.A$11.5B3.4B7.A.A15.2A$11.2A7.4B6.A17.A.A57.2A$
12.A8.4B4.2A19.A57.2A$9.3A10.4B11.6B7.2A$9.A13.4B9.7B$24.4B7.8B$25.4B
5.9B$26.4B3.4B.5B50.A$27.4B.4B.7B48.A.A$28.7B2.2B2E3B48.A.A$29.5B4.B
2E2B50.A$29.5B3.6B47.3A$28.7B2.6B47.A$28.3B.4B.7B$28.2B3.4B.6B$28.B5.
9B$35.8B$36.8B$37.7B8.A$50.3A$49.A$49.2A6$28.2A$29.A$29.A.A$30.2A11$
44.2A$44.2A!
However, with the reflectors in that order, the input stream is no longer transparent. Luckily the strange new edge shooter fits in there:

Code: Select all

x = 374, y = 355, rule = LifeHistory
372.E$371.E$371.3E205$165.E$164.E$164.3E20$70.A$68.3A$67.A$67.2A$65.
4B10.A$56.2A7.2B10.3A$57.A6.4B8.A$57.A.AB2.7B6.2A$58.2AB.9B2.5B$60.
16B$60.15B2A$60.15B2A$61.13B.B$61.13B$60.13B$59.4B.8B$58.4B2.7B$57.4B
2.11B$56.4B3.12B$55.4B4.12B7.2A$40.A13.4B6.11B2.2A2.A2.A$40.3A10.4B5.
4B.8B2.A.A2.2A$43.A8.4B6.2A4.7B3.B.2A$42.2A7.4B8.A4.7B2.2B2.A$42.5B3.
4B6.3A6.6B.2BAB.A.2A$44.3B2.4B7.A8.8BA.A.2A.A$34.2A7.9B17.8B.A.A$34.A
8.8B19.5B4.A2.2A$31.2A.A.B3.10B20.6B4.2A.3A$31.A2.3AB.2B2A7B19.6B6.B
4.A$32.2A2.BA3B2A7B19.7B3.B2AB3A3.2A30.A$34.4A12B20.8B.B2A.A4.A2.A27.
3A$34.A.2B3.7B.B2A18.10B9.A.A26.A$35.3AB2.7B.BA.A16.3B2A6B10.A27.2A$
38.A4.4B5.A10.2A5.2B2A6B$33.5A5.4B5.2A10.A5.10B$33.A10.4B16.A.AB2.11B
$35.A9.4B16.2AB.12B$34.2A10.4B17.15B$47.4B16.16B$48.4B15.16B.2B$48.5B
14.18B2A$50.4B12.17B.B2A$.E35.A11.6B10.4B2.8B.4B.B$2.E34.3A6.10B8.4B
4.7B38.2A$3EB36.A4.3B2A7B6.4B5.6B39.A.A$.4B22.2A10.2A4.3B2A8B4.4B6.4B
42.2A$2.4B22.A10.5B2.13B2.4B5.A3B$3.4B21.A.AB9.4B2.17B5.A.AB42.2A$4.
4B10.A10.2AB.3B4.23B5.A2.A44.A$5.4B7.3A12.7B.9BD13B6.A.A42.3A$6.4B5.A
15.17B2D13B4.2A.A.A40.A$7.4B4.2A15.17B2D13B7.2A$2A6.9B14.18BD15B$.A7.
6B14.19BD16B$.A.2A5.6B3.B2.2B2.25B.15B29.2A$2.A2.A4.41B.16B27.A.A23.A
$3.2AB3.27B.7B3.3B2.2B.8B2.4B26.A23.3A$4.14B2A16B2.7B13.4B32.2A22.A$
5.13B2A16B4.2B2A15.4B39.2A14.2A$6.29B3.4B2A13.A.A.A.A38.2A$6.17B.B.2B
10.2A16.A.2A.2A.A$7.15B4.3B10.A16.A3.A3.A15.C2B$7.15B5.A2B.2A3.3A16.
2A3.A.2A9.2B3.BC3B$8.13B5.A.A2B.A3.A24.A11.3B.2B3CB$10.13B2.A.AB2.A
27.A.A11.BCBC6B$9.8B4.2A.A.A3.A11.4B13.2A13.B2C2D4B$9.6B6.2ABA2.4A.A
8.4B29.BCDBDB$9.5B8.B2.A.A3.A.A6.4B31.BD3B$9.B.B9.2A.2A2.A2.A.A5.4B
31.B2DB$10.3B9.A.A2.2A3.A5.4B25.2A52.2A$9.B2AB9.A.A12.4B25.A.A47.2A2.
A2.A$10.2A11.A.6A5.4B5.2A10.A8.A34.2A13.A.A2.2A$25.A5.A4.4B5.A11.3A5.
2A33.A.A16.2A$21.4A3.3AB2.7B.BA.A14.A39.A19.A$19.A2.A4.A.2B3.7B.B2A
14.2A38.2A16.A2.A.2A$19.2A6.4A12B31.2A40.A.A.2A.A$25.2A2.BA3B2A7B31.A
42.A.A$24.A2.3AB.2B2A7B29.A.A43.A2.2A$24.2A.A.B3.10B18.A10.2A45.2A.3A
$27.A8.8B16.A.A62.A$27.2A7.9B15.A.A56.2A.3A$37.3B2.4B9.2A4.A57.2A.A$
35.5B3.4B7.A.A15.2A$35.2A7.4B6.A17.A.A36.2A$36.A8.4B4.2A19.A27.2A7.2A
$33.3A10.4B11.6B7.2A27.A$33.A13.4B9.7B36.A.A$48.4B7.8B37.2A$49.4B5.9B
$50.4B3.4B.5B$51.4B.4B.7B$52.7B2.2B2E3B56.2A$53.5B4.B2E2B57.2A$53.5B
3.6B$52.7B2.6B$52.3B.4B.7B$52.2B3.4B.6B$52.B5.9B42.A$59.8B41.A.A$60.
8B40.A.A$61.7B8.A32.A$74.3A29.3A$73.A32.A$73.2A6$52.2A$53.A$53.A.A$
54.2A11$68.2A$68.2A!
#C [[ STOP 1130 ]]
Recovers in 828 ticks, but thanks to the sparky inserter, it's not ready for another input until 863 ticks.

Now, chris_c sneakily took out the glider output that was connected to the staged-recovery circuit, so we're not done until we add some extra circuitry to get a glider back there within 863 ticks:

Code: Select all

x = 599, y = 382, rule = LifeHistory
596.E.E$596.2E$597.E63$E.E$.2E$.E148$381.E$380.E$379.B3E$378.4B$377.
4B18$286.A$284.3A$283.A$283.2A$281.4B10.A$272.2A7.2B10.3A$273.A6.4B8.
A$273.A.AB2.7B6.2A$274.2AB.9B2.5B$276.16B$276.15B2A$276.15B2A$277.13B
.B$277.13B$276.13B$275.4B.8B$274.4B2.7B$273.4B2.11B$272.4B3.12B$271.
4B4.12B7.2A$256.A13.4B6.11B2.2A2.A2.A26.A$256.3A10.4B5.4B.8B2.A.A2.2A
25.3A$259.A8.4B6.2A4.7B3.B.2A26.A$258.2A7.4B8.A4.7B2.2B2.A26.2A$258.
5B3.4B6.3A6.6B.2BAB.A.2A$260.3B2.4B7.A8.8BA.A.2A.A$250.2A7.9B17.8B.A.
A$250.A8.8B19.5B4.A2.2A$247.2A.A.B3.10B20.6B4.2A.3A$247.A2.3AB.2B2A7B
19.6B6.B4.A$248.2A2.BA3B2A7B19.7B3.B2AB3A3.2A30.A$250.4A12B20.8B.B2A.
A4.A2.A27.3A$250.A.2B3.7B.B2A18.10B9.A.A26.A$251.3AB2.7B.BA.A16.3B2A
6B10.A27.2A$254.A4.4B5.A10.2A5.2B2A6B$249.5A5.4B5.2A10.A5.10B$249.A
10.4B16.A.AB2.11B$251.A9.4B16.2AB.12B$250.2A10.4B17.15B$263.4B16.16B$
264.4B15.16B.2B$264.5B14.18B2A$266.4B12.17B.B2A$217.E35.A11.6B10.4B2.
8B.4B.B$218.E34.3A6.10B8.4B4.7B38.2A$216.3EB36.A4.3B2A7B6.4B5.6B39.A.
A$217.4B22.2A10.2A4.3B2A8B4.4B6.4B42.2A$218.4B22.A10.5B2.13B2.4B5.A3B
$219.4B21.A.AB9.4B2.17B5.A.AB42.2A$220.4B10.A10.2AB.3B4.23B5.A2.A44.A
$221.4B7.3A12.7B.9BD13B6.A.A42.3A$222.4B5.A15.17B2D13B4.2A.A.A40.A$
223.4B4.2A15.17B2D13B7.2A$216.2A6.9B14.18BD15B$217.A7.6B14.19BD16B$
217.A.2A5.6B3.B2.2B2.25B.15B29.2A$218.A2.A4.41B.16B27.A.A23.A$219.2AB
3.27B.7B3.3B2.2B.8B2.4B26.A23.3A$220.14B2A16B2.7B13.4B32.2A22.A$221.
13B2A16B4.2B2A15.4B39.2A14.2A$222.29B3.4B2A13.A.A.A.A38.2A$222.17B.B.
2B10.2A16.A.2A.2A.A$223.15B4.3B10.A16.A3.A3.A15.C2B$223.15B5.A2B.2A3.
3A16.2A3.A.2A9.2B3.BC3B$224.13B5.A.A2B.A3.A24.A11.3B.2B3CB$226.13B2.A
.AB2.A27.A.A11.BCBC6B$225.8B4.2A.A.A3.A11.4B13.2A13.B2C2D4B$225.6B6.
2ABA2.4A.A8.4B29.BCDBDB$225.5B8.B2.A.A3.A.A6.4B31.BD3B$225.B.B9.2A.2A
2.A2.A.A5.4B31.B2DB$226.3B9.A.A2.2A3.A5.4B25.2A52.2A$225.B2AB9.A.A12.
4B25.A.A47.2A2.A2.A$226.2A11.A.6A5.4B5.2A10.A8.A34.2A13.A.A2.2A$241.A
5.A4.4B5.A11.3A5.2A33.A.A16.2A$237.4A3.3AB2.7B.BA.A14.A39.A19.A$235.A
2.A4.A.2B3.7B.B2A14.2A38.2A16.A2.A.2A$235.2A6.4A12B31.2A40.A.A.2A.A$
241.2A2.BA3B2A7B31.A42.A.A$240.A2.3AB.2B2A7B29.A.A43.A2.2A$201.B38.2A
.A.B3.10B18.A10.2A45.2A.3A$243.A8.8B16.A.A62.A$243.2A7.9B15.A.A56.2A.
3A$253.3B2.4B9.2A4.A57.2A.A$251.5B3.4B7.A.A15.2A$251.2A7.4B6.A17.A.A
36.2A$232.A11.2A6.A8.4B4.2A19.A27.2A7.2A$231.A.A9.B2AB2.3A10.4B11.6B
7.2A27.A$223.A3.2A2.A.A9.3B3.A13.4B9.7B36.A.A$222.A.A2.A2.2A.2A9.B.B
17.4B7.8B37.2A$222.A.A3.A.A2.B8.5B18.4B5.9B$223.A.4A2.AB2A6.6B19.4B3.
4B.5B$225.A3.A.A.2A4.8B20.4B.4B.7B$224.A2.BA.A2.13B22.7B2.2B2E3B56.2A
$219.A3.A.2BA.A5.13B21.5B4.B2E2B57.2A$217.3A3.2A.2BA5.15B20.5B3.6B$
216.A10.3B4.15B19.7B2.6B$216.2A10.2B.B.17B17.4B.4B.7B$213.5B3.29B16.
4B3.4B.6B$211.5B4.16B2A13B14.4B5.9B42.A$211.7B2.16B2A14B12.4B7.8B41.A
.A$210.9B.27B3.B2A10.4B9.8B40.A.A$211.35B4.A2.A8.4B11.7B8.A32.A$210.
20B2.2B2.B3.6B5.2A.A6.4B25.3A29.3A$209.18B14.6B7.A5.4B25.A32.A$208.
17B14.9B6.2A3.4B26.2A$207.17B15.2A4.4B9.4B$206.18B16.A5.4B7.4B$205.
12B.8B11.3A7.4B5.4B$204.13B3.B3.2A11.A10.4B3.4B$203.14B7.A24.4B.4B$
202.15B8.3A22.7B11.2A$201.16B10.A23.5B13.A$200.19B32.5B13.A.AB$199.4B
.17B29.7B13.2AB3.4B$192.28B2A27.4B.4B6.A7.B2.4B$191.4BD22B.BA.A25.4B
3.4B5.3A4.2B.4B$191.4B3D20B4.A24.4B5.4B7.A3.6B$191.4BDBD21B3.2A22.4B
7.4B5.2A3.5B$191.6BD22B25.4B9.B7.9B$186.A4.10B2.2B2.14B23.4B20.6B$
185.A.A3.7B10.8B2.4B21.4B16.B2.8B$185.A.A20.7B4.4B19.4B17.13B$186.A
22.5B6.4B10.A6.4B18.13B$210.6B5.4B7.3A5.4B19.13B$214.2A6.4B5.A7.4B21.
10B.B2A6.2A$214.A8.4B4.2A5.4B24.3B2AB3.BA.A5.2A$215.3A6.9B4.4B25.3B2A
B6.A$217.A7.6B5.4B28.4B6.2A$225.8B2.4B29.3B$223.15B27.AB.2B$223.14B
27.A.AB2AB$223.13B28.A.ABABAB$221.2AB.10B26.2A.A.A.A.A2.A$220.A.AB3.B
2A5B26.A2.A2.2A.4A$220.A6.B2A3B30.2A4.A$219.2A6.4B38.A.A$228.3B39.2A$
229.2B.BA$228.B2ABA.A$227.BABABA.A$225.A2.A.A.A.A.2A$225.4A.2A2.A2.A$
229.A4.2A$227.A.A$227.2A!
I won't bother optimizing that last part, because I'm fairly sure that there's something better than all this out there. As the analysis above shows, an N{mod 8} color-changing reflector can be turned into an N+4{mod 8} just by swapping places with a color-preserving reflector. Doesn't work if you only have color-preserving reflectors, but you could also swap out two color-preserving reflectors for two color-changers with the right timing.

Here that means that we could look at the d5 reflectors in simeks' collection, as well as the other d1's.

Really I still think that the last stage of that reflector on the right side is kind of slow -- you lose a lot of the advantage of the lucky lane lineup because of that huge dying spark. And we currently have a few ticks to burn on that side anyway -- the right side has to be adjusted way out to allow the left side to catch up.

That last stage can probably be welded a few steps closer at the top, saving 8 or 16 or 24 ticks. That might get us under 850-tick recovery, but we'll need a bigger overhaul to get below 800 ticks.

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