Irrational slope pseudo spaceships

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biggiemac
Posts: 515
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Location: California, USA

Re: Irrational slope pseudo spaceships

Post by biggiemac » October 3rd, 2022, 12:55 am

Did some research, and have something more visually striking than a stream of gliders with irrational density. Here is a pattern that uses corderships to puff a suitable two object splitter. Return glider does the feedback loop, other glider helps contribute to a line drawn in the universe with slope phi.

Code: Select all

x = 320, y = 261, rule = B3/S23
277b3o$275b7o6bo$274b9o4bo$273bo7b3o2b2o$274b3o6bo3bo2bo$275b2o11b3o$
278bo10bo$279bo18b2o$280bo17b2o7$298b3o5b2o$295b2obobo5b2o$295bo2bobo$
284bob2o5b3o$278b2o4bobo3b2ob2o$278b2o6b2ob3o2bo2$271bo9bo2bo$280bo3bo
$267bo7bo8bo$267bo8bo2bo3b2o$266bo4b2o3bo3b2obo$267bobo6bo$267bob2o2$
272bo9$278b2o$278b2o$262b3o$262bobo$262bobo$262bo4b2o$261b3o3b2o$267bo
$263b4o19b2o$264b2o20b2o$172b3o89bo2$170bo5bo88bo$170b7o12bo73bobo$
172bo17b2o70b4o$172bo3bo13b2o70b3o$171bo17b2obo71bo$172bo18b3o$173bo4b
o11bob2o$173bo4bo11b2o60b3o6bo$172b2obobo12bo6b2o54b2o3b2obo$171bobo
22bo2bo52b2o5bobo$172bo24b2o58b3obo$260b2o2$230bo$230bo7bo$230bo5b3o$
205b2o22b2o3bobo$187b3o14bo2bo27bo2bo$189bo15b2o27bo2b2o38bo$188b3o58b
2o24b2o$249b2o25b2o3$182bo65bo10b2o$174b3o3b4o29b2o33bo3bobo$174bobo3b
2ob2o27bo2bo30b2obob2o2bo$174b3o2bo33b2o32b6o2bo$179b2o3bo63bo5b2o$
180b4o67bobo$181b3o54b2o3b2o6bo$152bo79bo3b4o3bobo$152bo5b3o71bob2o2bo
2bo3bo$151bobo3b2o2bo59b2o9bob2o4bo3b2o7b2o$152bo3bo5bo57bo2bo12bo3bo
12b2o$152bo3bo64b2o18bo11b2o$157bo2b2o$158b2o11b2o76b2o2bo$171b2o77b3o
$251bo$237b2o$174bo54b2o6b2o7bobo$173b5o50bo2bo17bo$173bo2b3o50b2o18bo
$168b2o8b2o69bo$175bo2bo67b2ob2o$165bo9b3o69bobo$155b2o9b2o7b2o71bo$
154bob3o8b2o$154bo3bo10bo67b2o$155b2obo5b5o6b2o59bo2bo$156bo10bo6bo2bo
59b2o22bo$173b2ob2o81b2o$172bobo85b2o$171b2o$171bo3bo$172bo2bo$159b2o
11b3o70b2o$159b2o83bo2bo$171bo73b2o$171bo$168b2o$168b2o$168bo2bo$169b
3o$170bo82b2o$252bo2bo$160bo92b2o$159bobo$159bobo$159bo2bo$160bobo92b
2o$163bo91bobo$162b2o92b2o3b2o5b2o5b2o$162bo13b2o82bo2bo4b2o5bo$176b2o
83b2o10bobo$273b2o$269b2o$160bo108bobo$159bobo108bo$161bo$161bo73b3o
35b3o$161bo22b2o51bo35b3o$184b2o50bo36b3o$162bo113b3o$158b2ob3o112b3o$
160b3ob2o110b3o$163bo$302b2o$286b2o14bo$153bo19b2o111b2o12bobo$152bobo
16bo128b2o5b2o$151b2ob2o15bo4bo130b2o$152bo2bo23bo107bo$154b3o13bo8bo
106bo26b3o$154bobo13b2obobobobo107bo6b2o11b2o3bo$155b2o15bo121b2o10bob
o3bo3bo$155b2o46b3o71b3o14bo10b2o5bo2bobo$205bo71bo16b3o17bobo2bo$204b
o73bo16bobo3b2o12bo3bo$295bo2bo4bo5bo9bo$152bobo141bobo4bo4bobo5b3o$
152bo2bo119bo20b2o2bo2bo5bo$151b2ob2o119b3o16b3o3bob2o$134bo15b5o123bo
15b3o2b2o2bo$131b4o16b3o123b2o15b2o4b3o$152bo148bo$279b3o5bo16b2o$278b
o3b5o2bo14bobo$134bobo141bob6o3bo5b2o9bo$116b3o6bo9bo13b2o128b4o4bo8bo
9b2o$115bo4bo3bobo6b2o13bo2bo131b3o2bo4b3o$115bo4b2o3bo7bo2bo11bo132b
2obob2o3bo2bo$115bo6bo9b2ob2o10b3o21b3o106bobobo3b5o3bo$116b3obo2bobo
21b2o24bo106bo2bob2o8b2o$120b5o25b2o20bo108bobobob3ob2o$125bo23bo2bo
129bo6bob2o$94bo7bo$93b3o5bobo43b2o$92b2ob4o2bo2bo42bo2bo$93b3o2bo49b
3o40b2o$94bo2b2o2bo88bobo$98b2obobo88bo$102bo10b2o18b2o$113b2o18b2o3$
114b3o$114b3o$120b3o$118bo3bo$116b2obob2o18b2o$98bo17bo24b2o$97b4o6b2o
8b2o$78bo17bo4bo4b3ob2o$64b2o7b2o2bobo15b2o10b2ob3o4bo$64b3o6b4o3bo15b
obob2o4b3ob2o3b4o40b2o$64b2obobo7bo19b3o6b2o7b2o2bo38bobo$67b2o10bob2o
15bo15bo4bo40bo$79bobo31b2obob2o$80bo8b2o21b4o$89b2o21b4o$115b2o$101b
2o13b2o$101b2o12bo2$111b3o$89b2o$87b3ob2o4b2o10bo4bo$87bobob2o4b2o10bo
$85b2obo24b2o$78b2o3bo26b2ob2o$69b2o5bo3bobo29bo14b2o$69b2o6b2obob3o
41bobo$77bo3b4o43bo$75bo$74bobo$73bo$57bobo6bobo4bo$45b2o9bo9bobo4bobo
$57bo2bo6bo6bo$44bo3bo10b3o$49bo$42bo7bo$41bo4bo$42bobobo4bo$42bo8bo$
43bo4b2obo$44bob2ob3o43b2o$45b3ob2o43bobo$96bo4$24bobo17bobo$24b3o16b
5o$24b2o15b7o$39bo2b3o$39bobo$27bo11bobob3o$25bobo4b2o6b3ob2o$3bo21b3o
16b2o$4o24bo11b2o2bo$24b5o14b2o$17b3o20b3o20b2o$40b2o20bobo$3bobo12b2o
44bo$4bo13b2o$2b2o13bo2bo$2bo2bo11bo28b2o7bo$b2ob2o10b3o27b2o7bo$16b2o
37b2obo$19b2o37bo$18bo2bo31b2obo2bo$53b8o$16b2o36b4o3bo$16bo2bo39bobo$
17b3o40bo4$6b2o$6b2o7$14b2o$14b2o!
Here it is at T = roughly 60 million.
phi line.png
phi line.png (2.14 KiB) Viewed 662 times
Physics: sophistication from simplicity.

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

Re: Irrational slope pseudo spaceships

Post by Dean Hickerson » October 8th, 2022, 1:35 pm

biggiemac wrote:
October 2nd, 2022, 5:13 pm
biggiemac wrote:
October 1st, 2022, 9:29 pm
I wonder whether it is even possible to have a constant bit stream with an irrational density of each bit
It is!
I built some smaller irrational density patterns back in the 1990s, using *WSS puffers instead of Corderships; they can be found at https://conwaylife.com/ref/DRH/irrat.lin.html. In particular, this pattern produces a glider stream with density (3 - sqrt(5))/2 relative to a complete p120 glider stream:

Code: Select all

#N p60 version of Irrational 5
#C Two puffers move east, producing a westward MWSS and a boat
#C every 60 gens.  Two stationary guns produce a glider every 60
#C gens and an eastward MWSS every 120 gens; half of the gliders
#C delete the MWSSs while the other half escape.  But when a
#C westward MWSS reaches the guns, it deletes 2 consecutive gliders,
#C allowing one eastward MWSS to escape and suppressing one output
#C glider.  When an eastward MWSS hits a boat, it becomes a NEward
#C glider which deletes one westward MWSS.  Thus, each westward
#C MWSS that reaches the guns causes the deletion of a later
#C westward MWSS.  Specifically, if the westward MWSSs are
#C numbered starting at 3, then, for each integer  K >= 2,  MWSS
#C number  floor(K phi)  causes the deletion of MWSS number
#C floor(K (phi+1)),  where  phi = (1 + sqrt(5))/2.  Also, a glider
#C escapes from the bottom of the pattern about generation
#C 120 floor(K (phi+1)).  Relative to a complete p120 glider stream,
#C the resulting stream of gliders has density  1/(phi+1) =
#C (3 - sqrt(5))/2 ~ 0.381966.
#O Dean Hickerson, 1/2/1999
x = 151, y = 91, rule = B3/S23
105b2o$103b2ob2o13b2o$103b4o13b4o$104b2o14b2ob2o$122b2o4$119b2o$113b3o
3bobo$92bo17b3o6bob2o$33bo59b2o15bo9b2o$32bobo57b2o16b3o7bo$15b2o15b2o
bo$15bobo14b2ob2o3b2o39b2o$6bo11bo13b2obo5bo36b3ob2o37b2o$6b2o7bo2bo
13bobo43b5o29b4o4b4o7b2o$18bo14bo45b3o25bo3bo3bo4b2ob2o4b2ob2o13b2o$
15bobo90bo6bo6b2o5b4o13b4o$15b2o87bo3bo5bo15b2o14b2ob2o$105b4o39b2o$
100b3o$98b2ob2o$100b3o18bo$34bo70b4o13b2o$35bo41bo26bo3bo12b2o23b2o$
33b3o42b2o28bo38b2o$12bobo62b2o28bo38b2o$10bo3bo101bo29bo$3b2o5bo15b2o
89b2o$3bo5bo16bo2bo86b2o$10bo19bo116b2o$10bo3bo15bo107b4o4b4o$12bobo
15bo99bo6bo3bo4b2ob2o$26bo2bo6b2o93bo9bo6b2o$26b2o8bobo88bo3bo8bo$38bo
89b4o$38b2o83b3o$30b2o68b3o18b2ob2o$30bo2bo65bobob2o18b3o$16bobo15bo6b
2o56bo3bobo22b4o$14bo3bo15bo7bo56bobo3bo21bo3bo$14bo19bo65b2obobo25bo$
7bo5bo16bo2bo68b3o25bo$7b2o5bo15b2o22b4o$14bo3bo34b6o$16bobo34b4ob2o$
57b2o57bo$117bo$51bo14b2o45bo3bo$49b3o10b4ob2o15b4o26b4o$48bo13b6o15bo
3bo21b3o$48b2o13b4o20bo19b2ob2o$86bo22b3o13b2o8bo$114b4o6b4o8bo$113bo
3bo6b2ob2o3bo3bo$68b2o28b2o17bo8b2o5b4o$68bobo27bobo15bo$9b2o23b2o33bo
29bo$9bobo22bo$2o10bo14bo4bobo70b2o17b2o$o8bo2bo13bobo3b2o70bobo16b2o
7b3o$12bo13b2obo76bo17bo2bo6bo$9bobo14b2ob2o94bo6bobo$9b2o15b2obo97b2o
3b2o$26bobo81b2o$27bo19b2o60bobo$47bo63bo23bo$136bo$132bo3bo$48bo67b4o
13b4o$17b2o27bob2o65bo3bo$17bobo26bo72bo$8b2o10bo14bo10bo71bo$8bo8bo2b
o13bobo9bo2bo$20bo13b2obo9b2o$17bobo14b2ob2o4bo$17b2o15b2obo4b2o$34bob
o$35bo31b2o9b2o$66b2o9bobo$61bo6bo7b3o$38bo21bobo12b3o$37bobo18b2o3bo
12b3o$37b2obo8bobo6b2o3bo13bobo5b2o$25b2o10b2ob2o6bo2bo6b2o3bo14b2o5bo
bo$25bo11b2obo6b2o6b2o3bobo24bo$37bobo5b2o3bo3bo2bo3bo25b2o$38bo8b2o6b
2o$48bo2bo$49bobo!
This one is more complicated, and I never figured out what the density of the glider stream is. I'm only guessing that it's irrational.

Code: Select all

#N Unknown irrational
#C Population growth appears to be linear.  If you can find the rate
#C of growth, please let me know.   (It's probably irrational, and
#C probably different for even and odd generations.)   Just proving
#C that the pattern never blows up isn't quite trivial.
#O Dean Hickerson, 6/16/1991
x = 91, y = 63, rule = B3/S23
73bo$74bo6b2o$70bo3bo4b2ob2o$71b4o4b4o$80b2o3$79bo$57b2o20b2o$57bo15b
2o3bob2o$46bobo6bobo15bo4bobo$44bo3bo6b2o21b2o$36bo7bo$35b4o4bo$23b2o
9b2obobo4bo$8b2o13bo9b3obo2bo3bo3bo7b2o23b2o$8bo25b2obobo6bobo7bo22b2o
b2o$35b4o24b2o14b4o$36bo24b2ob2o14b2o$61b4o$62b2o2$53b4o$8bo43bo3bo$7b
3o46bo14b4o$6b5o44bo14bo3bo$5bobobobo38b2o22bo$5b2o3b2o38bo19bo2bo$24b
o$22b4o42b2o$8bo7b2o5bob2o14b2o24b5o$7bobo6bo4bobob3o11bo2bo20b2o2bo4b
o$6b2obo13bob2o11bo24bo3b3o2bo$6b3o13b4o12bo11b2o16bo2b2o$5bo2bo15bo5b
o7bo11bo18b2o$5b3o21bo9bo2bo$4bo3bo20b3o9b2o$3bo5bo$4bo3bo5bo49b2o5b4o
$5b3o7bo46b2ob2o3bo3bo5bo$13b3o21bo24b4o8bo6bo6b2o$38bo24b2o8bo3bo3bo
4b2ob2o$32bo5bo39b4o4b4o$33b6o48b2o$74b2o$41b3o13b2o$40b5o4b4o5b2o13bo
2bo7b3o$40b3ob2o2b6o3bo14b2ob2o5bo3b2o$43b2o3b4ob2o18bob5o2bobo2b2o$5b
2o45b2o20bo2b3obo5bo$5bo56b2o14bo3bo2b2o$63b2o17bo$11bo22b2o26bo21bo$
8b4o22bo8b2o3bo6bo$2o5b4o7bo4b2o7bobo10bobo8bo31b2o$o6bo2bo7b2o3bobo6b
2o9b2o2bo8bo13b2o14b2ob2o$7b4o6bobo4b3o12bo8b9o12b4o13b4o$8b4o13b3o12b
o28b2ob2o13b2o$11bo12b3o8bo4bo30b2o$23bobo10b5o8b4o$23b2o23b6o$48b4ob
2o$52b2o!

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

Re: Irrational slope pseudo spaceships

Post by Dean Hickerson » October 9th, 2022, 11:44 am

Dean Hickerson wrote:
October 8th, 2022, 1:35 pm
In particular, this pattern produces a glider stream with density (3 - sqrt(5))/2 relative to a complete p120 glider stream:
We can combine that with the small Corderman boat puffer that Dave Greene mentioned to get a smaller irrational slope pattern. Sadly, the slope isn't as simple as phi; it's 15(27+4*sqrt(5))/649 ~ 0.83076.

Code: Select all

x = 151, y = 122, rule = B3/S23
105b2o$103b2ob2o13b2o$103b4o13b4o$104b2o14b2ob2o$122b2o4$119b2o$113b3o
3bobo$92bo17b3o6bob2o$33bo59b2o15bo9b2o$32bobo57b2o16b3o7bo$15b2o15b2o
bo$15bobo14b2ob2o3b2o39b2o$6bo11bo13b2obo5bo36b3ob2o37b2o$6b2o7bo2bo
13bobo43b5o29b4o4b4o7b2o$18bo14bo45b3o25bo3bo3bo4b2ob2o4b2ob2o13b2o$
15bobo90bo6bo6b2o5b4o13b4o$15b2o87bo3bo5bo15b2o14b2ob2o$105b4o39b2o$
100b3o$98b2ob2o$100b3o18bo$34bo70b4o13b2o$35bo41bo26bo3bo12b2o23b2o$
33b3o42b2o28bo38b2o$12bobo62b2o28bo38b2o$10bo3bo101bo29bo$3b2o5bo15b2o
89b2o$3bo5bo16bo2bo86b2o$10bo19bo116b2o$10bo3bo15bo107b4o4b4o$12bobo
15bo99bo6bo3bo4b2ob2o$26bo2bo6b2o93bo9bo6b2o$26b2o8bobo88bo3bo8bo$38bo
89b4o$38b2o83b3o$30b2o68b3o18b2ob2o$30bo2bo65bobob2o18b3o$16bobo15bo6b
2o56bo3bobo22b4o$14bo3bo15bo7bo56bobo3bo21bo3bo$14bo19bo65b2obobo25bo$
7bo5bo16bo2bo68b3o25bo$7b2o5bo15b2o22b4o$14bo3bo34b6o$16bobo34b4ob2o$
57b2o57bo$117bo$51bo14b2o45bo3bo$49b3o10b4ob2o15b4o26b4o$48bo13b6o15bo
3bo21b3o$48b2o13b4o20bo19b2ob2o$86bo22b3o13b2o8bo$114b4o6b4o8bo$113bo
3bo6b2ob2o3bo3bo$68b2o28b2o17bo8b2o5b4o$68bobo27bobo15bo$9b2o23b2o33bo
29bo$9bobo22bo$2o10bo14bo4bobo70b2o17b2o$o8bo2bo13bobo3b2o70bobo16b2o
7b3o$12bo13b2obo76bo17bo2bo6bo$9bobo14b2ob2o94bo6bobo$9b2o15b2obo97b2o
3b2o$26bobo81b2o$27bo19b2o60bobo$47bo63bo23bo$136bo$132bo3bo$48bo67b4o
13b4o$17b2o27bob2o65bo3bo$17bobo26bo72bo$8b2o10bo14bo10bo71bo$8bo8bo2b
o13bobo9bo2bo$20bo13b2obo9b2o$17bobo14b2ob2o4bo$17b2o15b2obo4b2o$34bob
o$35bo31b2o9b2o$66b2o9bobo42b2o$61bo6bo7b3o43bo$38bo21bobo12b3o$37bobo
18b2o3bo12b3o$37b2obo8bobo6b2o3bo13bobo5b2o$25b2o10b2ob2o6bo2bo6b2o3bo
14b2o5bobo$25bo11b2obo6b2o6b2o3bobo24bo$37bobo5b2o3bo3bo2bo3bo25b2o$
38bo8b2o6b2o67bo$48bo2bo70b2ob3o$49bobo72b3ob2o$125bo2$126bo$126bo$
126bo$126bobo$127bo2$107bo$107bo$107bo17bo$124b2o$124bo$125bobo$125bo
2bo$126bobo$126bobo$127bo3$113bo$89b2o23b2o$89bo21b2o$112bobo$112b2o$
112bo$110bobo$110bo2bo$112b2o$97b2o14bo$97bo17b3o!

Book
Posts: 385
Joined: August 28th, 2021, 2:38 pm
Location: California
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Re: Irrational slope pseudo spaceships

Post by Book » October 9th, 2022, 12:57 pm

biggiemac wrote:
October 3rd, 2022, 12:55 am
Did some research, and have something more visually striking than a stream of gliders with irrational density. Here is a pattern that uses corderships to puff a suitable two object splitter. Return glider does the feedback loop, other glider helps contribute to a line drawn in the universe with slope phi.
Your two patterns and Dean Hickerson's are on the wiki: Phi line
Phil Bookman

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biggiemac
Posts: 515
Joined: September 17th, 2014, 12:21 am
Location: California, USA

Re: Irrational slope pseudo spaceships

Post by biggiemac » October 9th, 2022, 6:24 pm

Dean Hickerson wrote:
October 8th, 2022, 1:35 pm
I built some smaller irrational density patterns back in the 1990s
Great to see - I had figured that the idea behind them was simple enough that I was definitely not the first. The c/2 orthogonal puffers are a lot more versatile in terms of getting interesting slopes. One of the big issues with the corderships is that if the burn rate is too fast, it will catch up to the puffer, which gives only a pretty narrow range of slopes, even if they are irrational. With c/2 orthogonal (or c/4 diagonal) puffers there is no such concern.
Physics: sophistication from simplicity.

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Mr. T
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Re: Irrational slope pseudo spaceships

Post by Mr. T » October 13th, 2022, 4:28 am

The Gliders thrown out are very rare. The gate in the center reflects most of the Gliders back and leaves a gap of 5 in the LWSS-lane. The 45°-reflector at at the end of the lane reflects the last LWSS at the end of a block with an odd number of LWSSes.

Code: Select all

x = 541, y = 485, rule = B3/S23
283b2o33bo$283b2o32b2o$303b2o11b3obo9b2o$303b2o10b2o13b2o$316b2o$317bo
2$317bo10bo8b2o$316b2o8b2obo7b2o$315b2o8b2ob3o$316b3obo5bo2bo$317b2o8b
2o$284bo5bo27bo$283b3o3b3o$282b2ob2ob2ob2o$281b3o7b3o$305b2o30b3o3b3o$
283bo7bo13b3o28bo2bo3bo2bo$304bob2o28b2obo3bob2o$304b3o$305bo3$295b2o$
282bo11bobo$284bo11bo$280bo2bo$280bo63bo$281bo60b2ob2o$278b3o61b2ob2o$
278bo$341bobobobo$287bo7bo$342b2ob2o$285b3o7b3o39b2o4b3o$286b2ob2ob2ob
2o40b2o5bo$287b3o3b3o$288bo5bo2$304b2o$303b3o$303b2obo$304b3o$305bo5$
287b2o$287b2o5$397b3o$398b2o$397bo$396bo2b2o$352bo46b2o$353b2o41b3o$
353b2o41bo$352bo43bo$305b2o40b2o5bo41b2obo$305b3o39bo2bo3bo44b2o$304bo
b2o37bo9bo42b3o$304b3o38bo3bob5o42bobo$305bo39bo3bo5bo41b2obo$347b2ob
4o43b4o$353bo44bo2b2o2bo$351b2o48bo2bobo$346bobo49bo2bo4b2o$345b4o2bo
52bobo$345b3o3bo46b3o4b2o$349b3obo47bobo$351bo2bo44b2o3bo2bo$351bo2b2o
52bo$351b2o2bo42bobo7bo$351bobob2o41bobo5bob3o$349bo5bo43b2o5bo2b3o$
348b7o40b2o2bo4bob3o2bo$348bo44bo2b2o2b2o2bo3b3o$348bo2b4o37b2obo4bo$
349bo4bo37b2obo3b2o4b3o$345b2o2bo5bo37bo2b2o5bob3o$345b3o2b2obobo38bob
2o3bo5b2o$304b2o40b2o3bo3bo46b4o$303b3o41b3o2b3o42bobobobo3bo$303b2obo
41b2o2bo43bo2bo3bo3bo$304b3o38bo2b2o55bobo22b2o$305bo42bo48bob4o3bo23b
3obo$345bobo50b3o30bo3bo$431b2o2b2o$428bo2b3o2bo$425b2o2bob2o3b2o$425b
2obo2b3o2bo$424b4o3bo2b2o$425b2o7bo$427bo3bo2bo51bo$424bo3bo2bo53bobo$
429bob3o53b2o$427bobob3o53bo$428bo57bobo$488bo$489bo$487bobo$486bo2bo$
487bo$486b4o$305b2o176b4o2bo$305b3o180b2o$304bob2o175bo4bo$304b3o180b
2o$305bo94bo83b2ob2o$394b2o3bobo$393b3o3bobo82b3o$393b2obo4bo81bo2bo$
396b2o84b3ob2o$369b5o19b3o2bo2b2o80bo2bo$348bo20b2o2b2o2b3o13b3o4b2o
82b2o$349b2o17b2obob2o2b3o20bo$349b2o18bobobobobo18bo3bo$366bo2bob2o3b
2obo13bob3o$347b3o16bo4b2obo4bo13bobob3o$347b3o15b2ob2obo3b2ob2o15bob
3o$365bobob3o6bo$350b3o12bobobo2bo8bo12bo68b5o$350b3o12b2obobobo3bo4bo
11b3o67b2o2b2o2b3o$367bo4bo3b3obobo10bo2bo65b2obob2o2b3o$349bobo5bo9bo
10bo2b3o9bo2bo66bobobobobo$350b2o4bobo12b2o5bo11b2obo2bo63bo2bob2o3b2o
bo$350bo5bobo11b3o6b2o79bo4b2obo4bo$304b2o42bobo7bo19b2o10bo2bo43bo21b
2ob2obo3b2ob2o$303b3o42bobo19b3o3b3o15bo41bobo12b2o6bobob3o6bo$303b2ob
o33bobo6bo8b2o12bo2bobo16b2o41b2o11b3o6bobobo2bo8bo$304b3o36bo12bobo
10bob2o2bobo15bobo42bo11b2obo5b2obobobo3bo4bo$305bo34bo2bobo11b2o12bo
6bo16b2o38bobo15b2o6bo4bo3b3obobo$341bo3bobo9bo12b3o4b2o56bobo10bob3o
8bo10bo2b3o$339b4o5b2o3bo2bo14b3o2bobo16bo40b4o7bo2b3o2bo9b2o5bo$342b
7obobo17bo2bo3bo15bobo42bobo6bo8b2o6b3o6b2o$350bo3b2o14b2obo19bobo42bo
bo9b4o2b2o14b2o$339bo3b7o3bobo14bo23bo46bo11b2o9b3o3b3o$168b2o177bo7b
2o13bo2bo65bobo8bobob3o9bo2bobo$168b2o170b2obob2o6bobo15b2o68bo9bob2ob
o6bob2o2bobo$343bobo8bo12bo3bo67bo9bo3bo11bo6bo$366bo2b2o69b2o8bo5b2o
6b3o4b2o$369b2o69b2o10bo4b2o6b3o2bobo$369bo69bo10bo4b3o6bo2bo3bo$369b
2o80bo2bobo7b2obo$367bo3bo79bo5bo6bo$368b2ob2o77b2o2bobo7bo2bo$2b2o
164b3o3b3o194bo76b3o3b2o9b2o$2b2o163bo2bo3bo2bo192b2o75bob2o2b2o6bo3bo
49bo$167b2obo3bob2o192bo75bo3b2o3bo4bo2b2o49bobo$369bo86bo6b2o49bobo$
2b3o3b3o294b2o141bob7o6bo52bo$2bo2bobo2bo294b3o140bo5b3o6b2o51b2o$4b2o
b2o295bob2o140bo2b3o7bo3bo49bobo$304b3o141b2o7b2o3b2ob2o$o11bo292bo
145b2o3bobo6bo50b3o$bo9bo438b3o4b2o5b2o50b3o$3bobobobo448bo5bo$3bobobo
bo165bo272b2o7bo5bo49b3o$4b2ob2o164b2ob2o269bobo5bobo55b3o$bo2bo3bo2bo
161b2ob2o269bo8bo$2b2o5b2o438bobo4b2o57b2o$172bobobobo270bob4obo58b2o$
453b3o58bo$173b2ob2o271bob2o$168b2o4b3o272bo2bo$168b2o5bo275bo$449bobo
79bo$450bo79bobo$532bo$530bo2bo$531b3o$61b2o44b2o228b2o190bo3bo$59b2ob
2o41b2ob2o225b2ob2o189b4o$2b2o55b4o42b4o195b2o29b4o189b2o$2b2o56b2o44b
2o195b3o30b2o190b2o$303b2obo222b5o$304b3o223bo$305bo225bo2bo$533b2o$
533b2o$533bo$530b2o2b2o$533b3o2$502b4o9bo15b2o$503bo3bo8b2o13b2o$500bo
4bobobo6b2o12bo$501bo8bo21bo$501bob7ob2ob3o14b3o$429b2o5b2o21bo43bo7b
2ob3o16bo$412b2o5b2o8b2o5b2o20bobo44b6o22b2o$412b2o5b2o37bobo40bob2o
12b3o12bo$457b2ob2o41bo2b2o9bobo11bobo$503bo2b2o23bobo$518b3o12bo$519b
2o10bo$518bo13b2o$519b2o11b2o$413bo5bo36bo5bo54bobo11bo$412b3o3b3o34b
3o3b3o54bo$411bo2b2ob2o2bo32b2obo3bob2o$411b3o5b3o6b3o5b3o$429b3o3b3o$
427bob4ob4obo17bo3bo$428b2o2bobo2b2o18bo3bo$429b3o3b3o$430bo5bo2$202bo
$201b2o$201bobo250bobo$400bo52bo2bo$400b3o16b3o25b2o4bo3bo$403bo13bo5b
o23b3o4b2obobo$402b2o20bo21bob3o5b2o2bo$416b2o6bo21b2o4b2o3b2obo3b2o$
414bo6b4o27b3o4bo4bo$414bo37b3o10b3o$418b3o46bo22b2o$304b2o184b2o$303b
3o127bo$303b2obo125bobo$304b3o113b2o10b2o$305bo114b2o25bo7bo$427bobo
15bob2o5b2obo$426bo18bo3b2ob2o3bo$426bo3bo15bo3bobo3bo$403b3o5b3o12bo
3bo16b3o3b3o$403b3o5b3o12bo$404b2o5b2o13bo2bo53b3o3b3o$406bo3bo15b3o
53bo2bo3bo2bo$404bo2bobo2bo73bobo$403bo3bobo3bo72bobo$404bo2bobo2bo73b
obo$404b3o3b3o69bo2bo3bo2bo$483bo7bo$449b2ob2o$450bobo47bo$450bobo45b
3o$404b2o5b2o38bo45bo$404b2o5b2o84b2o2$305b2o$305b3o173bobo$304bob2o
131b2o9b2o14b2o13b2o$304b3o132b2o8b2o15b2o14bo$305bo144b5o$425bobo23b
4o$428bo$424bo3bo22b4o8b2o$424bo3bo21b5o5b2obobo21bo7bo$428bo20b2o9b2o
3b2o19bo2bo3bo2bo$425bo2bo21b2o8b2obobo24bobo$426b3o34b2o25bobo$471bo
18bobo$469b2o15bo2bo3bo2bo$470b2o15b3o3b3o7$105b3o$105bo$106bo197b2o$
303b3o152bobo33b2o$303b2obo151b2o34b2o$304b3o90b2obo5bo3bo48bo$305bo
90bobobo4bo5bo14b3o98b2o$396bo4bo9bo13bo2bo91b3o4b2o$396bobobo5bo3b2o
16bo$397b2obo6b3o18bo90bo3bo$425bobo91bo3bo$407b3o110bobo$406bo3b2o
108b3o$394b2o15bo9b2o$394b2o9bo5bo9b2o25bo$406bo3bo36bo$447b2o$446b3o$
323b2o122b2o19b2o50bo7bo$323b2o120bobo18b5o47bob2o5b2obo$446b2o17bo4bo
14b2o31bo3b2ob2o3bo$465bo2b3o14b2o32bo3bobo3bo$465b2o2bo50b3o3b3o$128b
3o336b2o$128bo$129bo337b2o68bo$435bobo11b2o14b2o2bo65b3o$435b2o12bobo
6b2o5bo2b3o14b2o47bo$436bo12bo8b2o5bo4bo14b2o47b2o$316b3o3b3o141b5o$
315bo2bo3bo2bo128b3o11b2o$319bobo132bo$319bobo133bo$319bobo$315bo2bo3b
o2bo$316bo7bo$513bo$451bo5bo55bobo$450b3o3b3o54b2o$317bo86b2obo5bo3bo
31bo2b2ob2o2bo64b3o3b3o$315b2ob2o83bobobo4bo5bo30b3o5b3o63bo3bobo3bo$
403bo4bo9bo103bo3b2ob2o3bo$315b2ob2o83bobobo5bo3b2o103bob2o5b2obo$315b
o3bo84b2obo6b3o107bo7bo$316b3o$323b2o89b3o$323b2o88bo3b2o$401b2o15bo9b
2o72bo$304b2o95b2o9bo5bo9b2o71bo$303b3o107bo3bo32b3o48b3o20b3o$303b2ob
o142bo3bo70bobo$304b3o142b2ob2o69bo3bo$305bo144bobo70bo3bo$477b3o$450b
obo24bo46b3o4b2o$449b2ob2o24bo52b2o$449bo3bo3b2o$163b2o285b3o4b2o$163b
obo161b2o$163bo163bo$328b3o157b2o22b2o2b2o4bo2b2o12b2o$330bo156bobo11b
2o9b2ob2o6b2obo12b2o$489bo10b2o14bobo6bo$502bo14b2o4b3o2$517b2o4b3o$
459b2o2b2o4bo2b2o42bobo6bo$459b2ob2o6b2obo41b2o6b2obo$463bobo6bo43b2o
4bo2b2o$464b2o4b3o$494b2o2bo4b2o$464b2o4b3o21bob2o6b2o$463bobo6bo22bo
6bobo$462b2o6b2obo21b3o4b2o12b2o$463b2o4bo2b2o42bobo$495b3o4b2o14bo$
495bo6bobo13b2o$494bob2o6b2ob2o$494b2o2bo4b2o2b2o2$480b2o$479bobo$479b
o$340bo137b2o$339b2o$339bobo9$304b2o$303b3o$303b2obo$304b3o$305bo14$
440b2o$439b3o$439b2obo$440b3o$441bo$305b2o$305b3o$304bob2o$304b3o$305b
o5$232b2o$232bobo$232bo12$304b2o$303b3o$303b2obo$304b3o$305bo5$255b2o$
255bobo$255bo12$305b2o$305b3o$304bob2o$304b3o$305bo5$278b2o$278bobo$
278bo12$304b2o$303b3o$303b2obo$304b3o128b2o$305bo129b2o4b3o$441b3o$
440bo3bo$440b2ob2o$440bo3bo$301b2o138bobo$301bobo137bobo$301bo20bo8b2o
3b2o104bo$318b2o2bo7bo2bobo2bo$317bo5bo5bo9bo$316b2o2bobo5b2o9b2o$317b
2o3bo6bo9bo$318b3o9bo2bobo2bo98b2ob2o$331b2o3b2o98bo5bo$318b3o$317b2o
3bo112bo7bo$310b2o4b2o2bobo14b2o96bo2bobo2bo$310b2o5bo5bo13b2o96b3o3b
3o$318b2o2bo$322bo7$435b2o5b2o$435b2o5b2o!
Christoph Reinthaler (Who has this weird c/10-fetish)

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pipsqueek
Posts: 265
Joined: September 10th, 2022, 4:42 pm

Re: Irrational slope pseudo spaceships

Post by pipsqueek » February 4th, 2023, 2:19 pm

Dean Hickerson wrote:
October 9th, 2022, 11:44 am
Dean Hickerson wrote:
October 8th, 2022, 1:35 pm
In particular, this pattern produces a glider stream with density (3 - sqrt(5))/2 relative to a complete p120 glider stream:
We can combine that with the small Corderman boat puffer that Dave Greene mentioned to get a smaller irrational slope pattern. Sadly, the slope isn't as simple as phi; it's 15(27+4*sqrt(5))/649 ~ 0.83076.

Code: Select all

cool pattern
a different modification can make it much more mysterious:

Code: Select all

x = 493, y = 166, rule = B3/S23
446b4o$445bo3bo12bo2bo$449bo16bo$445bo2bo13bo3bo$463b4o2$439bo$440bo
18bobo$438b3o12b3ob2o3bo$450b2o4b4obob2o$448b2o5b5o4bo$29bobo402bo13b
2o4bo5bo3bo$29bo2bo402bo12b5o8b3o$14bo6bo10b2o399b3o14b2o9bo$13bobo5bo
8bo3b2o4b2o379b5o$6b2o4bob2o6bo9b2o6b2o378bo4bo29b2o5bo2bo$6b2o3b2ob2o
9b2o2bo2bo392bo3bo24b4o8bo5b4o$12bob2o5b3o2bo2bobo388bo3bo5bo23b2ob2o
3bo3bo4bo3bo12bo2bo$13bobo7b4o395bo5b3o18b2o5b2o5b4o8bo16bo$14bo9b2o
421b2ob2o19bo2bo13bo3bo$423b2o10b3o5bo3b4o38b4o$30b2o391b2o7bo2b3o3b2o
bo3b2o$29b3o400bobo6bo3bo$27b3o402bo2b3o3b2obo3b2o20b3o3b2o$28b2o405b
3o5bo3b4o12bo5bo3bo2b2o9b2o$27bo419b2ob2o12bo3bo5bo11bo2b2o$449b2o11b
3o9bo10b3o2bo$14b2o452bo5bo10bo4bo$12bo2bo454bob2o11b5o$3b2o6bo7b3o3bo
432bo27b2o$3b2o6bo6bo3b5o432bo$11bo7bo3b2ob2o11bobo372bo42b3o21b2o5bo
2bo$12bo2bo3bo3b2ob3o11b2o373bo64b4o8bo$14b2o5b4ob2o12bo372b3o64b2ob2o
3bo3bo$23b4o9b2o434b2o8b2o5b4o$25bo10bobo29b3o57b3o57b3o57b3o57b3o57b
3o53b2o11b2o31b2ob2o$38bo28b5o55b5o55b5o55b5o55b5o55b5o52b2o13bo18b3o
5bo3b4o$38b2o26b2ob3o54b2ob3o54b2ob3o54b2ob3o54b2ob3o54b2ob3o51bo2bo6b
2o3b2o14bo3b3o3b2obo3b2o$29bo37b2o58b2o58b2o58b2o58b2o58b2o54bo2bo6b3o
19bobo6bo3bo$27b4o393bobo5bo2bo19bo2b3o3b2obo3b2o$18b2o5b4ob2o9b2o368b
2o12bo32b3o5bo3b4o$16bo2bo3bo3b2ob3o8b2o368b2o26bo30b2ob2o$15bo7bo3b2o
b2o397bo2bo5bobo31b2o$7b2o6bo6bo3b5o366b2o30b3o6bo2bo$7b2o6bo7b3o3bo
365bo4bo11b2o11b2o3b2o6bo2bo$16bo2bo381bo10b2o11bo13b2o$18b2o34bobo
338bo5bo24b2o11b2o$55b2o339b6o$31b2o22bo402b2o$31b2o18bo353b6o16b2o27b
2ob2o$49b3o352bo5bo15b4o14b3o5bo3b4o$48bo361bo15b2ob2o13b3o3b2obo3b2o$
26b2o20b2o354bo4bo18b2o20bo3bo$27b2o377b2o32b2o3bo4b2obo3b2o7bo2bo$26b
o412bo6bo5bo3b4o10bo6b2o$439bo5bo10b2ob2o5bo3bo4b2ob2o$39bo88b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o10b2o3bo12b2o7b4o4b4o$39b
o64b2o22bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bo
bo9bobo33b2o$8bo9b2o14b2o6b6o53b3ob2o22bo29bo29bo29bo29bo29bo29bo29bo
29bo29bo29bo8b2o23b2o$7bobo7b4o13bo8b3o55b5o332b3o5b2o$2o4bob2o5b3o2bo
2bobo6bobo11bo55b3o342b2o13bo2bo7b3o$2o3b2ob2o9b2o2bo2bo5b2o35bobo374b
o14b2ob2o5bo3b2o$6bob2o6bo9b2o42b2o390bob5o2bobo2b2o$7bobo5bo8bo3b2o
40bo392bo2b3obo5bo$8bo6bo10b2o423b2o14bo3bo2b2o$23bo2bo7b2o416b2o17bo$
23bobo9b2o10b2o402bo21bo$34bo12bobo$48b3o426b2o$49b2o408b2o14b2ob2o$
46b2o410b4o13b4o$16bo9b2o18b3o409b2ob2o13b2o$15bobo7b4o431b2o$8b2o4bob
2o5b3o2bo2bobo26b3o$8b2o3b2ob2o9b2o2bo2bo12b2o11bo$14bob2o6bo9b2o11b2o
6b3o3bo$15bobo5bo8bo3b2o4b2o11b2o$16bo6bo10b2o6b2o$31bo2bo$31bobo34bo
2bo8bo$68bo10bobo$46b2o16bo2bo3b2o5bo3b2o$34bobo10b2o12b4o3b2obobo4bo
3b2o$29bo4bo2bo8bo13b4o14bo3b2o$30b2o5b2o11b2o8bo2bo8b2o5bobo3b2o$25b
2o8bo3b2o8bobo8b4o16bo4bobo$25b2o10b2o9bo6b2o4b4o22bo$34bo2bo10bo2bo2b
o2bo6bo22b2o$34bobo11bo6b2o$49bobo$50b2o31$129bobo$130b2o$130bo7$126b
2o$126b2o9$134b2o$133bobo$124b2o3b2o4bo9b2o$126b3o16bobo$125bo3bo15bo$
126bobo$127bo2$128b3o$128b3o$152b3o$152bo$153bo$126b2o3b2o32bo$127b5o
33b2o$128b3o23bo5b2o4b2o$129bo24bobo3b2o4b3o7b2o$155bobo2b2o4b2o8b2o$
142b2o11bo2bo6b2o$142b2o11bobo7bo$154bobo$154bo3$128b2o$128b2o!
or an even weirder one with two interacting copies:

Code: Select all

x = 506, y = 390, rule = B3/S23
128b2o$128b2o3$154bo$154bobo$142b2o11bobo7bo$142b2o11bo2bo6b2o$155bobo
2b2o4b2o8b2o$129bo24bobo3b2o4b3o7b2o$128b3o23bo5b2o4b2o$127b5o33b2o$
126b2o3b2o32bo$153bo$152bo$152b3o$128b3o$128b3o2$127bo$126bobo$125bo3b
o15bo$126b3o16bobo$124b2o3b2o4bo9b2o$133bobo$134b2o9$126b2o$126b2o7$
130bo$130b2o$129bobo31$50b2o$49bobo$34bobo11bo6b2o$34bo2bo10bo2bo2bo2b
o6bo22b2o$25b2o10b2o9bo6b2o4b4o22bo$25b2o8bo3b2o8bobo8b4o16bo4bobo$30b
2o5b2o11b2o8bo2bo8b2o5bobo3b2o$29bo4bo2bo8bo13b4o14bo3b2o$34bobo10b2o
12b4o3b2obobo4bo3b2o$46b2o16bo2bo3b2o5bo3b2o$68bo10bobo$31bobo34bo2bo
8bo$31bo2bo$16bo6bo10b2o6b2o$15bobo5bo8bo3b2o4b2o11b2o$14bob2o6bo9b2o
11b2o6b3o3bo$8b2o3b2ob2o9b2o2bo2bo12b2o11bo$8b2o4bob2o5b3o2bo2bobo26b
3o$15bobo7b4o431b2o$16bo9b2o18b3o409b2ob2o13b2o$46b2o410b4o13b4o$49b2o
408b2o14b2ob2o$48b3o426b2o$34bo12bobo$23bobo9b2o10b2o402bo21bo$23bo2bo
7b2o416b2o17bo$8bo6bo10b2o423b2o14bo3bo2b2o$7bobo5bo8bo3b2o40bo392bo2b
3obo5bo$6bob2o6bo9b2o42b2o390bob5o2bobo2b2o$2o3b2ob2o9b2o2bo2bo5b2o35b
obo374bo14b2ob2o5bo3b2o$2o4bob2o5b3o2bo2bobo6bobo11bo55b3o342b2o13bo2b
o7b3o$7bobo7b4o13bo8b3o55b5o332b3o5b2o$8bo9b2o14b2o6b6o53b3ob2o22bo29b
o29bo29bo29bo29bo29bo29bo29bo29bo29bo8b2o23b2o$39bo64b2o22bobo27bobo
27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo9bobo33b2o$39bo
88b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o10b2o3bo12b2o7b
4o4b4o$439bo5bo10b2ob2o5bo3bo4b2ob2o$26bo412bo6bo5bo3b4o10bo6b2o$27b2o
377b2o32b2o3bo4b2obo3b2o7bo2bo$26b2o20b2o354bo4bo18b2o20bo3bo$48bo361b
o15b2ob2o13b3o3b2obo3b2o$49b3o352bo5bo15b4o14b3o5bo3b4o$31b2o18bo353b
6o16b2o27b2ob2o$31b2o22bo402b2o$55b2o339b6o$18b2o34bobo338bo5bo24b2o
11b2o$16bo2bo381bo10b2o11bo13b2o$7b2o6bo7b3o3bo365bo4bo11b2o11b2o3b2o
6bo2bo$7b2o6bo6bo3b5o366b2o30b3o6bo2bo$15bo7bo3b2ob2o397bo2bo5bobo31b
2o$16bo2bo3bo3b2ob3o8b2o368b2o26bo30b2ob2o$18b2o5b4ob2o9b2o368b2o12bo
32b3o5bo3b4o$27b4o393bobo5bo2bo19bo2b3o3b2obo3b2o$29bo37b2o58b2o58b2o
58b2o58b2o58b2o54bo2bo6b3o19bobo6bo3bo$38b2o26b2ob3o54b2ob3o54b2ob3o
54b2ob3o54b2ob3o54b2ob3o51bo2bo6b2o3b2o14bo3b3o3b2obo3b2o$38bo28b5o55b
5o55b5o55b5o55b5o55b5o52b2o13bo18b3o5bo3b4o$25bo10bobo29b3o57b3o57b3o
57b3o57b3o57b3o53b2o11b2o31b2ob2o$23b4o9b2o434b2o8b2o5b4o$14b2o5b4ob2o
12bo372b3o64b2ob2o3bo3bo$12bo2bo3bo3b2ob3o11b2o373bo64b4o8bo$11bo7bo3b
2ob2o11bobo372bo42b3o21b2o5bo2bo$3b2o6bo6bo3b5o432bo$3b2o6bo7b3o3bo
432bo27b2o$12bo2bo454bob2o11b5o$14b2o452bo5bo10bo4bo$449b2o11b3o9bo10b
3o2bo$27bo419b2ob2o12bo3bo5bo11bo2b2o$28b2o405b3o5bo3b4o12bo5bo3bo2b2o
9b2o$27b3o402bo2b3o3b2obo3b2o20b3o3b2o$29b3o400bobo6bo3bo$30b2o391b2o
7bo2b3o3b2obo3b2o$423b2o10b3o5bo3b4o38b4o$14bo9b2o421b2ob2o19bo2bo13bo
3bo$13bobo7b4o395bo5b3o18b2o5b2o5b4o8bo16bo$12bob2o5b3o2bo2bobo388bo3b
o5bo23b2ob2o3bo3bo4bo3bo12bo2bo$6b2o3b2ob2o9b2o2bo2bo392bo3bo24b4o8bo
5b4o$6b2o4bob2o6bo9b2o6b2o378bo4bo29b2o5bo2bo$13bobo5bo8bo3b2o4b2o379b
5o$14bo6bo10b2o399b3o14b2o9bo$29bo2bo402bo12b5o8b3o$29bobo402bo13b2o4b
o5bo3bo$448b2o5b5o4bo$450b2o4b4obob2o$438b3o12b3ob2o3bo$440bo18bobo$
439bo2$463b4o$445bo2bo13bo3bo$449bo16bo$445bo3bo12bo2bo$446b4o59$459b
4o$458bo3bo12bo2bo$462bo16bo$458bo2bo13bo3bo$476b4o2$452bo$453bo18bobo
$451b3o12b3ob2o3bo$463b2o4b4obob2o$461b2o5b5o4bo$42bobo402bo13b2o4bo5b
o3bo$42bo2bo402bo12b5o8b3o$27bo6bo10b2o399b3o14b2o9bo$26bobo5bo8bo3b2o
4b2o379b5o$19b2o4bob2o6bo9b2o6b2o378bo4bo29b2o5bo2bo$19b2o3b2ob2o9b2o
2bo2bo392bo3bo24b4o8bo5b4o$25bob2o5b3o2bo2bobo388bo3bo5bo23b2ob2o3bo3b
o4bo3bo12bo2bo$26bobo7b4o395bo5b3o18b2o5b2o5b4o8bo16bo$27bo9b2o421b2ob
2o19bo2bo13bo3bo$436b2o10b3o5bo3b4o38b4o$43b2o391b2o7bo2b3o3b2obo3b2o$
42b3o400bobo6bo3bo$40b3o402bo2b3o3b2obo3b2o20b3o3b2o$41b2o405b3o5bo3b
4o12bo5bo3bo2b2o9b2o$40bo419b2ob2o12bo3bo5bo11bo2b2o$462b2o11b3o9bo10b
3o2bo$27b2o452bo5bo10bo4bo$25bo2bo454bob2o11b5o$16b2o6bo7b3o3bo432bo
27b2o$16b2o6bo6bo3b5o432bo$24bo7bo3b2ob2o11bobo372bo42b3o21b2o5bo2bo$
25bo2bo3bo3b2ob3o11b2o373bo64b4o8bo$27b2o5b4ob2o12bo372b3o64b2ob2o3bo
3bo$36b4o9b2o434b2o8b2o5b4o$38bo10bobo29b3o57b3o57b3o57b3o57b3o57b3o
53b2o11b2o31b2ob2o$51bo28b5o55b5o55b5o55b5o55b5o55b5o52b2o13bo18b3o5bo
3b4o$51b2o26b2ob3o54b2ob3o54b2ob3o54b2ob3o54b2ob3o54b2ob3o51bo2bo6b2o
3b2o14bo3b3o3b2obo3b2o$42bo37b2o58b2o58b2o58b2o58b2o58b2o54bo2bo6b3o
19bobo6bo3bo$40b4o393bobo5bo2bo19bo2b3o3b2obo3b2o$31b2o5b4ob2o9b2o368b
2o12bo32b3o5bo3b4o$29bo2bo3bo3b2ob3o8b2o368b2o26bo30b2ob2o$28bo7bo3b2o
b2o397bo2bo5bobo31b2o$20b2o6bo6bo3b5o366b2o30b3o6bo2bo$20b2o6bo7b3o3bo
365bo4bo11b2o11b2o3b2o6bo2bo$29bo2bo381bo10b2o11bo13b2o$31b2o34bobo
338bo5bo24b2o11b2o$68b2o339b6o$44b2o22bo402b2o$44b2o18bo353b6o16b2o27b
2ob2o$62b3o352bo5bo15b4o14b3o5bo3b4o$61bo361bo15b2ob2o13b3o3b2obo3b2o$
39b2o20b2o354bo4bo18b2o20bo3bo$40b2o377b2o32b2o3bo4b2obo3b2o7bo2bo$39b
o412bo6bo5bo3b4o10bo6b2o$452bo5bo10b2ob2o5bo3bo4b2ob2o$52bo88b2o28b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o10b2o3bo12b2o7b4o4b4o$52b
o64b2o22bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bo
bo9bobo33b2o$21bo9b2o14b2o6b6o53b3ob2o22bo29bo29bo29bo29bo29bo29bo29bo
29bo29bo29bo8b2o23b2o$20bobo7b4o13bo8b3o55b5o332b3o5b2o$13b2o4bob2o5b
3o2bo2bobo6bobo11bo55b3o342b2o13bo2bo7b3o$13b2o3b2ob2o9b2o2bo2bo5b2o
35bobo374bo14b2ob2o5bo3b2o$19bob2o6bo9b2o42b2o390bob5o2bobo2b2o$20bobo
5bo8bo3b2o40bo392bo2b3obo5bo$21bo6bo10b2o423b2o14bo3bo2b2o$36bo2bo7b2o
416b2o17bo$36bobo9b2o10b2o402bo21bo$47bo12bobo$61b3o426b2o$62b2o408b2o
14b2ob2o$59b2o410b4o13b4o$29bo9b2o18b3o409b2ob2o13b2o$28bobo7b4o431b2o
$21b2o4bob2o5b3o2bo2bobo26b3o$21b2o3b2ob2o9b2o2bo2bo12b2o11bo$27bob2o
6bo9b2o11b2o6b3o3bo$28bobo5bo8bo3b2o4b2o11b2o$29bo6bo10b2o6b2o$44bo2bo
$44bobo34bo2bo8bo$81bo10bobo$59b2o16bo2bo3b2o5bo3b2o$47bobo10b2o12b4o
3b2obobo4bo3b2o$42bo4bo2bo8bo13b4o14bo3b2o$43b2o5b2o11b2o8bo2bo8b2o5bo
bo3b2o$38b2o8bo3b2o8bobo8b4o16bo4bobo$38b2o10b2o9bo6b2o4b4o22bo$47bo2b
o10bo2bo2bo2bo6bo22b2o$47bobo11bo6b2o$62bobo$63b2o31$142bobo$143b2o$
143bo7$139b2o$139b2o9$147b2o$146bobo$137b2o3b2o4bo9b2o$139b3o16bobo$
138bo3bo15bo$139bobo$140bo2$141b3o$141b3o$165b3o$165bo$166bo$139b2o3b
2o32bo$140b5o33b2o$141b3o23bo5b2o4b2o$142bo24bobo3b2o4b3o7b2o$168bobo
2b2o4b2o8b2o$155b2o11bo2bo6b2o$155b2o11bobo7bo$167bobo$167bo3$141b2o$
141b2o!

Code: Select all

x=17,y=16,rule=B3/S23
3bo3bobo2bob2o$bobo4bo4b4o$bobo5bobo2b3o$b2obob2o3b2o$3o4b2ob2o2b2o$4b
o4bo$4b2obobob2ob3o$3ob3o2b2o$b3o2bobobo5bo$o3b2o3bobo2b2o$4bo3bob2o3b
o$2obo2bobobo2b2o$3b3o5bo2b2o$2obo4bo2bob2o$o3bob2obo3b2o$2bo8bobobo![[ STOP 3 GPS 4 ]]

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