Execution of Old Guns by Variable-Speed Firing Squad

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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WhiteHawk
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by WhiteHawk »

Period1GliderGun wrote: October 19th, 2026, 12:31 am gun_529 (prime square) reduction (5767 -> 5360)

Code: Select all

gun_521 (prime) reduction (5616 -> 5214)

Code: Select all

Reduction to guntrue_1042 (7098 -> 5846)

Code: Select all

x = 79, y = 74, rule = B3/S23
34b2o$33bobo$27b2o4bo$25bo2bo2b2ob4o$25b2obobobobo2bo$28bobobobo$28bo
bob2o$29bo2$42b2o$33b2o7bo$33b2o5bobo$40b2o5$9bo$9b3o$12bo17b2o$11b2o
18bo8bo$28b3o8b2o$28bo10bobo$3b2o$3bo$2obo$o2b3o4b2o51b2o$b2o3bo3b2o51b
2o5b2o$3b4o63b2o$3bo15b2o$4b3o12bobo9b2o$7bo13bo10bo6b2o27b2o$2b5o14b
2o9bobo4b2o27b2o$2bo30b2o39b2o$4bo24bo44b2o$3b2o18bo5b3o$23b3o6bo$26b
o4b2o$25b2o2$43b2o$43b2o5$51bo3b2o$50bobo3bo20b2o$33b2o14bobo3bo21bo$
33b2o9b2o3bo4bo20bobo$44bobob2o5b3o17b2o$21b2o23bobo8bo$20bobo23bobo$
20bo26bo$19b2o4b2o$26bo26b2o$23b3o27b2o$23bo16b2o$40bobo26b2o$33b2o7b
o2bo23bo2bo$34bo7bobobo23b2obo$31b3o7b2o2bo27bo$31bo7bo2bo25bo4bob2o$
39b2o25b3o3b2ob2o$65bo$48b2o16b3o$48b2o18bo$43b2o$42bobo$42bo$41b2o13b
2o$56bo10bo$49b2o6b3o8bo$49b2o8bo6b3o!
guntrue_1058 (6532 -> 6000)

Code: Select all

x = 80, y = 75, rule = B3/S23
34b2o$33bobo$27b2o4bo$25bo2bo2b2ob4o$25b2obobobobo2bo$28bobobobo$28bo
bob2o$29bo2$42b2o$33b2o7bo$33b2o5bobo$40b2o5$9bo$9b3o$12bo17b2o$11b2o
18bo$28b3o10bo$28bo11b2o$3b2o35bobo$3bo$2obo$o2b3o4b2o$b2o3bo3b2o52b2o
$3b4o57b2o5b2o$3bo15b2o50b2o$4b3o12bobo$7bo13bo10b2o$2b5o14b2o10bo6b2o
27b2o$2bo30bobo4b2o27b2o$4bo29b2o39b2o$3b2o25bo44b2o$24bo5b3o$24b3o6b
o$27bo4b2o$26b2o2$44b2o$44b2o5$52bo3b2o$51bobo3bo20b2o$34b2o14bobo3bo
21bo$34b2o9b2o3bo4bo20bobo$45bobob2o5b3o17b2o$22b2o23bobo8bo$21bobo23b
obo$21bo26bo$20b2o4b2o$27bo26b2o$24b3o27b2o$24bo16b2o$41bobo26b2o$34b
2o7bo2bo23bo2bo$35bo7bobobo23b2obo$32b3o7b2o2bo27bo$32bo10bo25bo4bob2o
$41bo25b3o3b2ob2o$41b2o23bo$49b2o16b3o$49b2o18bo$44b2o$43bobo$43bo$42b
2o13b2o$57bo10bo$50b2o6b3o8bo$50b2o8bo6b3o!
The last one is p46, here is the old design (if it can be reduced)

Code: Select all

x = 92, y = 71, rule = B3/S23
32b2o25bo$32bobo22bo2bo28b2o$34bo4b2o4b2o10b5o27b2o$30b4ob2o2bo2bo2b2o
10b3ob2o16b2o$30bo2bobobobob2o15b2obo16bo$33bobobobo19b2o16bo2b2o8b2o
$34b2obobo37bo2bo9b2o$38bo20b2o16bobo$58b2obo16b2o$24b2o19b2o10b3ob2o
$25bo7b2o10b2o10b5o16b2o$25bobo5b2o22bo2bo16bobo$26b2o31bo17bo2bo9b2o
$77bo2b2o8b2o$33b3o42bo$35bo43b2o$34bo54b2o$89b2o$45bo$36b2o5bobo18b3o
$36bo7b2o20bo$37b3o25bo$32bo6bo$32bo$b2o12b2o2bo4b2o6bo$b2o12bob2o6b2o
$16bo6bobo2b3o3b3o14b2o$16b3o4b2o26b2o2$16b3o4b2o$16bo36b2o$b2o12bob2o
7b2o6b2o16bobo$b2o12b2o2bo3bo3bo6bo19bo$26bo8b3o$24bo12bo$24bobo$25b2o
6$41b3o$43bo$42bo9$b2o27b2o$b2o26bobo$11b2o18bo$13bo$2o8b2o2bo$2o9bo2b
o17bo$12bobo16bo2bo$12b2o16b5o10b2o$29b2ob3o10b2o$12b2o16bob2o$12bobo
16b2o$2o9bo2bo76bo$2o8b2o2bo16b2o56bobo$13bo16bob2o56b2o$11b2o16b2ob3o
10b2o$b2o27b5o10b2o$b2o28bo2bo$32bo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Entity Valkyrie 2 »

WhiteHawk wrote: October 19th, 2026, 12:44 am
Period1GliderGun wrote: October 19th, 2026, 12:31 am gun_529 (prime square) reduction (5767 -> 5360)

Code: Select all

gun_521 (prime) reduction (5616 -> 5214)

Code: Select all

Reduction to guntrue_1042 (7098 -> 5846)

Code: Select all

x = 79, y = 74, rule = B3/S23
34b2o$33bobo$27b2o4bo$25bo2bo2b2ob4o$25b2obobobobo2bo$28bobobobo$28bo
bob2o$29bo2$42b2o$33b2o7bo$33b2o5bobo$40b2o5$9bo$9b3o$12bo17b2o$11b2o
18bo8bo$28b3o8b2o$28bo10bobo$3b2o$3bo$2obo$o2b3o4b2o51b2o$b2o3bo3b2o51b
2o5b2o$3b4o63b2o$3bo15b2o$4b3o12bobo9b2o$7bo13bo10bo6b2o27b2o$2b5o14b
2o9bobo4b2o27b2o$2bo30b2o39b2o$4bo24bo44b2o$3b2o18bo5b3o$23b3o6bo$26b
o4b2o$25b2o2$43b2o$43b2o5$51bo3b2o$50bobo3bo20b2o$33b2o14bobo3bo21bo$
33b2o9b2o3bo4bo20bobo$44bobob2o5b3o17b2o$21b2o23bobo8bo$20bobo23bobo$
20bo26bo$19b2o4b2o$26bo26b2o$23b3o27b2o$23bo16b2o$40bobo26b2o$33b2o7b
o2bo23bo2bo$34bo7bobobo23b2obo$31b3o7b2o2bo27bo$31bo7bo2bo25bo4bob2o$
39b2o25b3o3b2ob2o$65bo$48b2o16b3o$48b2o18bo$43b2o$42bobo$42bo$41b2o13b
2o$56bo10bo$49b2o6b3o8bo$49b2o8bo6b3o!
guntrue_1058 (6532 -> 6000)

Code: Select all

x = 80, y = 75, rule = B3/S23
34b2o$33bobo$27b2o4bo$25bo2bo2b2ob4o$25b2obobobobo2bo$28bobobobo$28bo
bob2o$29bo2$42b2o$33b2o7bo$33b2o5bobo$40b2o5$9bo$9b3o$12bo17b2o$11b2o
18bo$28b3o10bo$28bo11b2o$3b2o35bobo$3bo$2obo$o2b3o4b2o$b2o3bo3b2o52b2o
$3b4o57b2o5b2o$3bo15b2o50b2o$4b3o12bobo$7bo13bo10b2o$2b5o14b2o10bo6b2o
27b2o$2bo30bobo4b2o27b2o$4bo29b2o39b2o$3b2o25bo44b2o$24bo5b3o$24b3o6b
o$27bo4b2o$26b2o2$44b2o$44b2o5$52bo3b2o$51bobo3bo20b2o$34b2o14bobo3bo
21bo$34b2o9b2o3bo4bo20bobo$45bobob2o5b3o17b2o$22b2o23bobo8bo$21bobo23b
obo$21bo26bo$20b2o4b2o$27bo26b2o$24b3o27b2o$24bo16b2o$41bobo26b2o$34b
2o7bo2bo23bo2bo$35bo7bobobo23b2obo$32b3o7b2o2bo27bo$32bo10bo25bo4bob2o
$41bo25b3o3b2ob2o$41b2o23bo$49b2o16b3o$49b2o18bo$44b2o$43bobo$43bo$42b
2o13b2o$57bo10bo$50b2o6b3o8bo$50b2o8bo6b3o!
The last one is p46, here is the old design (if it can be reduced)

Code: Select all

x = 92, y = 71, rule = B3/S23
32b2o25bo$32bobo22bo2bo28b2o$34bo4b2o4b2o10b5o27b2o$30b4ob2o2bo2bo2b2o
10b3ob2o16b2o$30bo2bobobobob2o15b2obo16bo$33bobobobo19b2o16bo2b2o8b2o
$34b2obobo37bo2bo9b2o$38bo20b2o16bobo$58b2obo16b2o$24b2o19b2o10b3ob2o
$25bo7b2o10b2o10b5o16b2o$25bobo5b2o22bo2bo16bobo$26b2o31bo17bo2bo9b2o
$77bo2b2o8b2o$33b3o42bo$35bo43b2o$34bo54b2o$89b2o$45bo$36b2o5bobo18b3o
$36bo7b2o20bo$37b3o25bo$32bo6bo$32bo$b2o12b2o2bo4b2o6bo$b2o12bob2o6b2o
$16bo6bobo2b3o3b3o14b2o$16b3o4b2o26b2o2$16b3o4b2o$16bo36b2o$b2o12bob2o
7b2o6b2o16bobo$b2o12b2o2bo3bo3bo6bo19bo$26bo8b3o$24bo12bo$24bobo$25b2o
6$41b3o$43bo$42bo9$b2o27b2o$b2o26bobo$11b2o18bo$13bo$2o8b2o2bo$2o9bo2b
o17bo$12bobo16bo2bo$12b2o16b5o10b2o$29b2ob3o10b2o$12b2o16bob2o$12bobo
16b2o$2o9bo2bo76bo$2o8b2o2bo16b2o56bobo$13bo16bob2o56b2o$11b2o16b2ob3o
10b2o$b2o27b5o10b2o$b2o28bo2bo$32bo!
Slight population reduction:

Code: Select all

x = 79, y = 74, rule = B3/S23
34b2o$33bobo$27b2o4bo$25bo2bo2b2ob4o$25b2obobobobo2bo$28bobobobo$28bob
ob2o$29bo2$42b2o$33b2o7bo$33b2o5bobo$40b2o5$9bo$9b3o$12bo17b2o$11b2o
18bo8bo$28b3o8b2o$28bo10bobo$3b2o$3bo$2obo$o2b3o4b2o51b2o$b2o3bo3b2o
51b2o5b2o$3b4o63b2o$3bo15b2o$4b3o12bobo9b2o$7bo13bo10bo6b2o27b2o$2b5o
14b2o9bobo4b2o27b2o$2bo30b2o39b2o$4bo24bo44b2o$3b2o18bo5b3o$23b3o6bo$
26bo4b2o$25b2o2$43b2o$43b2o4$55b2o$51bo3b2o$50bobo24b2o$33b2o14bobo25b
o$33b2o9b2o3bo25bobo$44bobob2o25b2o$21b2o23bobo$20bobo23bobo$20bo26bo$
19b2o4b2o$26bo26b2o$23b3o27b2o$23bo16b2o$40bobo26b2o$33b2o7bo2bo23bo2b
o$34bo7bobobo23b2obo$31b3o7b2o2bo27bo$31bo7bo2bo25bo4bob2o$39b2o25b3o
3b2ob2o$65bo$48b2o15b2o$48b2o$43b2o$42bobo$42bo$41b2o13b2o$56bo10bo$
49b2o6b3o8bo$49b2o8bo6b3o!
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Period1GliderGun
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by Period1GliderGun »

massive and tidy reduction to gun_297 (4672 -> 2964)

Code: Select all

x = 57, y = 52, rule = B3/S23
23bo6bo14bo$19b2obobo3b2obo13bo3bo$19b2obob5ob2o9b3o2bo3bo$22bobo2bo13b
obo3bo2bo$17b6obo2bo7bo7bo2bo2bo$16bo2bo3bo2bo7bobo$16b2o2bobo11bo2bo
2bo2bo2bo8bo$22bo12b2o4b2o2bob3o2b3obo$46bo2bo2bo2bo$26bo22bo2bo$24b3o
$17b2o4bo$17bo5b2o$15bobo28b2o5b2o$15b2ob2o26b2o5bo$18bo32bobo$18bo32b
2o$15b2ob2o27b2o$16bo30bobo$14bobo31bo$12b3ob2o$11bo16b2o22b2o$12b3ob
2o4b3o3bobo22bo$14bob2o12bo19b2obob2o$30b2o16b3ob2o2bo$47b2o5b2o$43b2o
3bob4o$6bo36bo2bobo4bo$5bobo2b2o33b2o2b4o$5bobo3bo34bo$3b2obob3o34bo5b
2o$2bobo3bo36b2o4b2o$bo2bobo$2b4obo12bo$7bo2b2o7bob2o$2b2obobo2b2o7bo
2bo$o2bob2o13b3o3b2o$2obo21b4o$3bo22bo2bo$3b2o6bo16bobo$11bo17b2o$8b2o
4bo20b2o$8bo5bo20bobo$8bo5bo22bo$37b2o$10b3o3$20b2o$20bo10bo$14b2o5b3o
8bo$14b2o7bo6b3o!
unfortunately the minimum RT of this H-to-G is 109 so it can't be used to reduce gun_99.

EDIT: corollary gun_329 reduction (5472 -> 4087)

Code: Select all

x = 67, y = 61, rule = B3/S23
55bo$40bo13bobo$40b3o5bob2obo2bo$43bo4b2obobobob2o$42b2o8b2obobobo$55b
o3bo$47bo6b2obob2o$46bobo6b3obo$46bo2bo8bo2bo$47b2o6b2obob2o$56bobo$56b
obo$57bo3$34bo23b2o5b2o$32b3o23b2o5bo$25b2o4bo31bobo$25bo5b2o30b2o$23b
obo33b2o$23b2ob2o31bobo$26bo33bo$26bo$23b2ob2o$24bo$22bobo$20b3ob2o33b
5o$19bo16b2o19b3obob3o$20b3ob2o4b3o3bobo17bo4bo4bo$22bob2o12bo17b5ob4o
$38b2o14b2o2bobobo$53bo2b2o2bobob2o$53b2obo2b4ob2o$54bobobo$53bo2b2o$
53b3o$28bo27bobo$28bo26bo2b2o2b2o$28bo26b2obobo2bo$28bo28b2ob2o$24bo3b
o24b3o3bo$2b2o4bo18bo25bo2b2obo$bobo4bobo16b2o27bobo$3o6bo2bo15bo11b2o
$2o5bobob3o12b2o6bobo3b2o$b2o3b4o3b2o19bo2b2o$2b3obobo5b2o18bo3b2o$3b
o2bo6b3o22b3o2b2o$5bobo4bobo7b2o15b2o2bobo$7bo4b2o8b2o21bo$45b2o2$8b2o
4b2o$8b3o3b2o$7bo3bo2b2o12b2o$4bob4o3b3o12bo$4bo10bo6b2o5b3o$4b3o3b4o
bo6b2o7bo$4b2o2bo3bo29bo$4b2o3b3o31bo$4b2o4b2o29b3o!
EDIT2: [deleted]
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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WhiteHawk
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Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by WhiteHawk »

Period1GliderGun wrote: October 19th, 2026, 9:47 am EDIT: corollary gun_329 reduction (5472 -> 4087)

Code: Select all

guntrue_987 reduced (unfortunately nullifying a good weld - 6138 to 4623)

Code: Select all

x = 69, y = 67, rule = B3/S23
15bo12bo$15b3o9bobob2o$18bo8bobob2o$17b2o7b2obo7b2o$25bo3b4o4bo$8b2o10b
o4b2obo4bo5bo$6bo2bo9bobo3bo3b2ob2o4b2o19bo2b2o$4b4o7b2o2b2o5b2o4b2o2b
o3b2o17b4obo$3bo4b4o3b2o10bobob3o2b2obo2bo21bo$3b2ob2o4bo14bo3bo2bobo
2bobo15b7ob2o$b2o6b3o16b2ob4obobo2b2o13bo6bobo2bo$o2b3obobo20bo4bob2o
bo15b2o2b2obo3b2o$bo4b2o22bob2obo4bo19b2ob2o$2b4o25b2ob2o4b2o$4bo$2b2o
56b2o$2bo49b2o6b2ob2o$3bo4bo43bo6b2obo$2b2o3bobo39b2obo$6bo2bo40bobob
o$7b2o41bo2b2o$48b3o$47bo20bo$3b2o42b2o17bobo$2bobo62b2o$2bo$b2o$30bo
32b2o$28b3o14b2o16bo$27bo16bobo17b3o$27b2o16bo20bo2$15b2o8bo$16bo7b3o
$16bobo4bobobo$17b2o3b3ob3o27b2o$23bobobo28bo$24b3o27bobo$24b2o13b2o13b
2o$20bo2bo15b2o$17bo2b4o$17b3o6bob2o$20bo2b4ob2o$19b2o2bo24b2o6b2o$25b
2ob2o18b2o6b2o$26bobo$26bobo$27bo3$53b4o$45bo2bo3bo3bo$44bo7bo4bo$43b
o5bo3bobob2o$43bo4b2o7bobo$44bo11b2o2bo$45bo6b2o2bo$41bob4o9bo2b2o$42b
o3bo5bo2b2o$44bo3bo4bobo$44b4obo4b2obobo$45bo9bo4bo$46bo9bo3bo$41b2o4b
o8b4o$41bo5bo$46bo$42bo2bo!
Old design

Code: Select all

x = 93, y = 66, rule = B3/S23
64b2o$63bobo$57b2o4bo$33b2o20bo2bo2b2ob4o$33bobo5b2o12b2obobobobo2bo$
35bo4bobo15bobobobo$31b4ob2o2bo17bobob2o$31bo2bobobob2o17bo$34bobobob
o$35b2obobo31b2o$39bo23b2o7bo$63b2o5bobo$25b2o43b2o$26bo7b2o$26bobo5b
2o$27b2o4$60b2o$61bo$58b3o$11b2o24b2o19bo$4b2o5b2o24bo$4b2o32b3o$40bo
$35b2o$6b2o28bo51b2o$6b2o5bob2o18bo52bo$2o10bo2bob2o16b2o53bo$2o10bo5b
o29bo21b2o14b5o$10b2o2bobo30bobo18bo2bo13bo$10bo3bob2o29bobo18b2obobo
12b3o$10bobobobo29b2ob2o19bob2o15bo$11b3o31bo2bo2bo18bo15b4o$46b2o2b2o
16b3o10b2o3bo3b2o$21bobo7b2o34bo13b2o4b3o2bo$22b2o7b2o34b2o20bob2o$22b
o50b3o13bo$75bo12b2o$47bo26bo$18b2o3bo22bobo$18bo3bobo21bobo31b2o$19b
o3bobo19b2obob2o28bo$20bo3bobob2o13bo4bo2bo5b2o22b3o$14b2o2bob4o2bob2o
12bo2b3obo6bobo5b2o17bo$14bo2bobo3bobo21bob2o5bo7b2o$2o13bobo2bobo2b2o
b2o16bo2bo5b2o$2o12b2ob4ob2o2bobo14bobobobo$16bo9bobo12bobobob2o20bo$
16bo2b2ob2o3bo11b3obo2bo18b2obobo$14b3obobob2o14bo5bobo17bobobobo$13b
o3bo20b2o5bo15bo2bobobobob2o$7b2o3bob3o44b4ob2o2bo2bo$7bo4bobo50bo4b2o
$8b3obo50bobo$10bobo7bo42b2o$10bobob2o2b3o$7b2obobob2o2b2o$7bo2bobo7b
o$9bo2b4o3bo10b2o$10b2o3bo3bo10bobo$12b2o18bo$12bo13bo5b2o$14bo12bo$13b
2o10b3o!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by iNoMed »

Period-510 glider gun reduced from 43x40 (1720-cell BB) to 42x40 (1680-cell BB) with an even thinner period-3 sparker that reduces the effective height from 7 cells to 6 cells:

Code: Select all

x = 40, y = 37, rule = B3/S23
7b2o17bo3bo3b3o$7b2o25bobo$27b3o4b3o$34b3o$6b3o25b3o$6b2obo2b2o13b3o4b
3o$8b2o2b2o20bobo$8b2o16bo3bo3b3o10$15bo$14bobo8b2o$13bo3bo5bo2bo$13bo
3bo$12b3o2bo19bo$2o12bo2bo5b2obo11b2o$obo15b2o5bobo2b2o5b2o$2bo13bobo
7bo4bo$2b2o13bo9bo$27bo2bo2$22b2o$22b2o2$20b4o$19bo3bo$6bo12b2o$5bob3o
2b5o3b2o$6bo2bo2bo7b2o$9bo2bo3b4o!
Edit: And reduced to 41x40 (1640-cell BB) with a height-5 p3 sparker:

Code: Select all

x = 40, y = 37, rule = B3/S23
7b2o17bo3bo3b3o$7b2o25bobo$27b3o4b3o$34b3o$6b3o25b3o$6b2obo2b2o13b3o4b
3o$8b2o2b2o20bobo$8b2o16bo3bo3b3o10$15bo$14bobo8b2o$13bo3bo5bo2bo$13bo
3bo$12b3o2bo19bo$2o12bo2bo5b2obo11b2o$obo15b2o5bobo2b2o5b2o$2bo13bobo
7bo4bo$2b2o13bo9bo$27bo2bo$24bo$23bobo$23bobo$22b2ob2o$20bobobo2bo$21b
o2bobo$6bo9bob2o2bobob2o$5bob3o2b4o2bob3obo$6bo2bo2bo8b4o$9bo2bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!
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WhiteHawk
Posts: 1488
Joined: July 10th, 2024, 5:34 pm

Re: Execution of Old Guns by Variable-Speed Firing Squad

Post by WhiteHawk »

iNoMed wrote: Yesterday, 7:05 am Period-510 glider gun reduced from 43x40 (1720-cell BB) to 42x40 (1680-cell BB) with an even thinner period-3 sparker that reduces the effective height from 7 cells to 6 cells:

Code: Select all

Edit: And reduced to 41x40 (1640-cell BB) with a height-5 p3 sparker:

Code: Select all

That p3 catalyst reduces many p102-engine based guns. I went through and replaced them all

EDIT: Some ideas for new p102 solutions

guntrue_2754 (102 x 27 - 102,81)
guntrue_5508 (102 x 54)
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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