B017/S01

[Ntsimp]

p96 oscillator based on knightlife's adjustable gun:

Code: Select all

x = 121, y = 145, rule = B017/S01
79b2o$79b2o4$74b2o$74b2o2$82b2o$82b2o13$78b2o2$78bobo5$74b2o$74b2o2$
82b2o$82b2o5$77bobo2$78b2o9$8b2o22b2o$8b2o22b2o$68bo$2o22bo41bo$2o20bo
15bobo25bo$22bobo15bo27bo$38bo$65b2o$5b2o22b2o$5b2o22b2o34bobo4$90b2o
22b2o$90b2o22b2o2$82bo$80bo15bobo$80bobo15bo20b2o$96bo22b2o2$87b2o22b
2o$87b2o22b2o33$65b2o2$65bobo5$61b2o$61b2o2$69b2o$69b2o5$64bobo2$65b2o
13$61b2o$61b2o2$69b2o$69b2o4$64b2o$64b2o!

[apg]

Here's a working P2 90° reflector:

Code: Select all

x = 45, y = 11, rule = B017/S01
32b2o$23b2o7b2o$23b2o$43b2o$o42b2o$2bo$2bo$o$37b2o$22b2o13b2o$22b2o!

[apg]

I believe this one has a faster recovery time, and a smaller bounding box:

Code: Select all

x = 48, y = 11, rule = B017/S01
32b2o$27b2o3b2o$27b2o$46b2o$o45b2o$2bo$2bo$o$37b2o$26b2o9b2o$26b2o!

All oscillators of period 38+2n can be constructed using this reflector. Here is a 38*38 period-38 oscillator using this method:

Code: Select all

x = 38, y = 38, rule = B017/S01
26b2o$26b2o3$20b2o$9b2o9b2o$9b2o$24bo$7bo9bo4bo$5bo3bobobobo6bo8b2o$2o
3bo3bobobobobo6bo6b2o$2o5bo$19b2o$14b2o3b2o7b2o$14b2o7b2o$23b2o5bo$4b
2o$4b2o6b2o14bo$12b2o$24b2o$9bo14b2o6b2o$32b2o$7bo5b2o$13b2o7b2o$8b2o
7b2o3b2o$17b2o$30bo5b2o$5b2o6bo6bobobobobo3bo3b2o$5b2o8bo6bobobobo3bo$
15bo4bo9bo$13bo$27b2o$16b2o9b2o$16b2o3$10b2o$10b2o!

Can we prove it omniperiodic for all periods 2k, where k is any natural number?

[apg]

I've managed, after a lot of effort, a true breeder with quadratic growth:

Code: Select all

x = 374, y = 334, rule = B017/S01
192bo54bo51bo$24bo23bo23bo23bo23bo23bo23bo21b3obo50bob3o21bo25bobo$2bo
19b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo
13bobo50bobo13bo7bob3o11bo11bobo$obobo5bobo11bobo7bobo11bobo7bobo11bob
o7bobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo7bobo11bo54bo11bobo7bobo
11bobo13bo$obobo2bo2bobo11bo9bobo11bo9bobo11bo9bobo11bo9bobo11bo9bobo
11bo9bobo11bo9bobo78bobo9bo11bobo$2bo2bobob2o23bo23bo23bo23bo23bo23bo
23bo82bo23bo$2bo2b4obo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo
11bo11bo82bo11bo11bo$obo2bobo2bobo9bobo9bobo9bobo9bobo9bobo9bobo9bobo
9bobo9bobo9bobo9bobo9bobo9bobo9bobo8b2o58b2o8bobo9bobo9bobo$ob6o2b3obo
5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3o
bo5b3obo9b3obob3ob4o56b4ob3obob3o9bob3o5bob3o$2bobobo5bobo7bo13bobo7bo
13bobo7bo13bobo7bo13bobo7bo13bobo7bo13bobo7bo13bobo5b4o56b4o5bobo13bo
7bobo$4bobo5bo23bo23bo23bo23bo23bo23bo23bo8b2o58b2o8bo23bo11$32bo$30bo
bo165b3o38b3o$30bobo$32bo$195b4o42b4o$194b6o40b6o$194b6o40b6o$195b4o
42b4o$196b2o44b2o3$131bobo172bobo$131bobobo55b2o23bo6bo23b2o55bobobo$
133bo56b4o20b3obo2bob3o20b4o56bo$134b2o54b4o10bobo9bobo2bobo9bobo10b4o
54b2o$134bo25bo25bo4b2o11b3obo7bo6bo7bob3o11b2o4bo25bo25bo$132bobobo
21bobo19bobo4bo15bo2bobo22bobo2bo15bo4bobo19bobo21bobobo$132bobo23bobo
17bobobobo70bobobobo17bobo23bobo$160bo17bobobobo70bobobobo17bo$176bobo
27bobo22bobo27bobo$177b2o27bobo22bobo27b2o$178bobobobo21bo26bo21bobobo
bo$178bobobobo4b2o58b2o4bobobobo$180bobo5b4o15b2o22b2o15b4o5bobo$188b
4o56b4o$29bo159b2o15b4o20b4o15b2o$27bobo$27bobo177b2o22b2o$29bo$203b2o
30b2o2$202b4o28b4o$208b2o2b2o12b2o2b2o$202b4o28b4o$207b4ob2o12b2ob4o$
202b3o30b3o$207b3o20b3o$201bobo2bobo22bobo2bobo$206bobo22bobo$201bobo
32bobo3$365bo$197bo44bo120bob3o$80bo23bo23bo23bo23bo18bobobo40bobobo
18bo23bo23bo23bo25bobobo$66bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo
11b3obo16bobobo40bobobo16bob3o11bo7bob3o11bo7bob3o11bo7bob3o11bo11bobo
b3o$64bobobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo18bo44bo
18bobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo13bobobo$64bobobo11bo9bob
o11bo9bobo11bo9bobo11bo9bobo11bo8b3o64b3o8bo11bobo9bo11bobo9bo11bobo9b
o11bobo15bobo$66bo23bo23bo23bo23bo114bo23bo23bo23bo$66bo11bo11bo11bo
11bo11bo11bo11bo11bo114bo11bo11bo11bo11bo11bo11bo$64bobobo9bobo9bobo9b
obo9bobo9bobo9bobo9bobo9bobo24b2o58b2o24bobo9bobo9bobo9bobo9bobo9bobo
9bobo$64bob3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo21b4o
56b4o21bob3o9bob3o5bob3o9bob3o5bob3o9bob3o5bob3o23bo$66bobobo7bo13bobo
7bo13bobo7bo13bobo7bo13bobo21b4o56b4o21bobo13bo7bobo13bo7bobo13bo7bobo
$68bo23bo23bo23bo23bo24b2o58b2o24bo23bo23bo23bo2$203b3o28b3o2$369b4o2$
370b2o$210b2o2b2o8b2o2b2o$198bo42bo$209b8o6b8o$197b3o10bo4bo8bo4bo10b
3o$96bo79b2o30b10o4b10o30b2o79bo21bo$94bobo101b2o10bo4bo8bo4bo10b2o
101bobo$94bobo78b4o30b8o6b8o30b4o78bobo18b3o$96bo246bo$174b6o15b4o11b
2o2b2o8b2o2b2o11b4o15b6o98b2o$194b6o40b6o$173b8ob3o9b6o40b6o9b3ob8o$
174bo4bo15b4o42b4o15bo4bo$173b8o15b2o44b2o15b8o2$174b2o2b5o74b5o2b2o2$
180b4o7b2o5b2o40b2o5b2o7b4o$190b4o52b4o$181b2o7b4o3b3o40b3o3b4o7b2o$
191b2o5bo42bo5b2o$197b2o42b2o$199bo40bo$176b2o2b2o76b2o2b2o$202b3o30b
3o$175b3o2b3o74b3o2b3o$202b2o32b2o$175b3o2b3o6b2o58b2o6b3o2b3o$188b4o
3b2o2b2o38b2o2b2o3b4o$176b2o2b2o6b4o56b4o6b2o2b2o$93bo95b2o4b2o2b2o38b
2o2b2o4b2o$91bobo$91bobo$93bo101b6o9b2o2b2o8b2o2b2o9b6o2$209b8o6b8o$
195b2o2b2o9bo4bo8bo4bo9b2o2b2o$176b2o2b2o26b10o4b10o26b2o2b2o$195b2o2b
2o9bo4bo8bo4bo9b2o2b2o$175b8o26b8o6b8o26b8o2$175b8o27b2o2b2o8b2o2b2o
27b8o$176bo4bo76bo4bo$174b10o72b10o$176bo4bo76bo4bo$175b8o74b8o2$176b
2o2b2o76b2o2b2o2$136bo23bo7bo102bo7bo23bo31b4o$130bo3b3obo7bo11b3obo
38b2o34b2o38bob3o11bo7bob3o3bo$128bobobo3bobo7bobo11bobo114bobo11bobo
7bobo3bobobo24b2o$128bobobo3bo9bobo11bo39b4o32b4o39bo11bobo9bo3bobobo$
130bo15bo146bo15bo$130bobobo11bo11bo23bo74bo23bo11bo11bobobo$128bobobo
bobo9bobo9bobo11bo7b3obo4b2o58b2o4bob3o7bo11bobo9bobo9bobobobobo$128bo
b5obo9b3obo5b3obo9b3obo7bobo3b4o56b4o3bobo7bob3o9bob3o5bob3o9bob5obo$
130bobobo13bobo7bo13bobo7bo5b4o56b4o5bo7bobo13bo7bobo13bobobo$132bo15b
o23bo16b2o58b2o16bo23bo15bo$181bo30b2o12b2o30bo$181bo20b2o32b2o20bo$
181bo29b4o10b4o29bo$201b4o30b4o$210b6o8b6o$200b2o2b2o28b2o2b2o$209b8o
6b8o$178b3o29bo4bo8bo4bo29b3o$209b8o6b8o2$160bo49b2o2b2o8b2o2b2o49bo$
158bobo39b2o2b2o28b2o2b2o39bobo$158bobo118bobo$160bo38b4ob2o28b2ob4o
38bo$195b2o46b2o$194b4o2b2o36b2o2b4o$194b5o42b5o$195b4o42b4o$196b2o44b
2o4$191b2o54b2o$190b4o52b4o$190b4o52b4o$191b2o54b2o3$176b2o2b2o23bo28b
o23b2o2b2o$185b3o17bo28bo17b3o$175b3o2b3o20b5o2b2o2b2o8b2o2b2o2b5o20b
3o2b3o2$175b3o2b3o6b2o12b4o2b8o6b8o2b4o12b2o6b3o2b3o$188b4o18bo4bo8bo
4bo18b4o$176b2o2b2o6b4o12b2o2b10o4b10o2b2o12b4o6b2o2b2o$157bo31b2o19bo
4bo8bo4bo19b2o31bo$155bobo18b2o2b2o27b8o6b8o27b2o2b2o18bobo$155bobo
124bobo$157bo17b3o2b3o26b8o6b8o26b3o2b3o17bo2$175b3o2b3o12b2o2b2o8b8o
6b8o8b2o2b2o12b3o2b3o$210bo4bo8bo4bo$176b2o2b2o13b7o7b8o6b8o7b7o13b2o
2b2o$198bo42bo$196bob3o9b6o8b6o9b3obo2$185b2o24b4o10b4o24b2o2$184b4o
24b2o12b2o24b4o$185bo68bo$185bo68bo5$194bo50bo$192bobobo46bobobo$192bo
bobo46bobobo$194bo17bo14bo17bo$194bo50bo$176b2o14bobobo15b3o10b3o15bob
obo14b2o$192bobobo16bo12bo16bobobo$175b4o15bo16b4o10b4o16bo15b4o$177bo
84bo$177bo34b2o12b2o34bo4$188b2o60b2o$180bo78bo$181b2o4b4o6bo44bo6b4o
4b2o$181bo15bo44bo15bo$175b3o2b3o3b6o4b4o40b4o4b6o3b3o2b3o2$176b2o2b2o
4b2o2b2o5b2o42b2o5b2o2b2o4b2o2b2o4$186b2o2b2o3b2o46b2o3b2o2b2o$194b4o
44b4o$185b8ob5o42b5ob8o$195b4o42b4o$186b2o2b2o4b2o17b4o2b4o17b2o4b2o2b
2o2$216b2o4b2o$202bo34bo$191b2o9bo34bo9b2o$190b4o4bob5o30b5obo4b4o$
190b4o4bobo38bobo4b4o$191b2o3b9o30b9o3b2o$198bo42bo$188bo9bo3b2o32b2o
3bo9bo$176b2o2b2o7bo60bo7b2o2b2o$197bo44bo$175b3o2b3o14bo44bo14b3o2b3o
$196b4o40b4o$175b3o2b3o74b3o2b3o$197b2o42b2o$176b2o2b2o8b2o56b2o8b2o2b
2o$196b2o2b2o36b2o2b2o$176b2o2b2o7b4o54b4o7b2o2b2o$195b3o2b3o34b3o2b3o
$175b3o2b3o7b2o56b2o7b3o2b3o$195b3o2b3o34b3o2b3o$175b3o2b3o74b3o2b3o$
196b2o2b2o36b2o2b2o$176b2o2b2o4b2o64b2o4b2o2b2o$196b2o2b2o36b2o2b2o$
185b4o62b4o$195b3o2b3o34b3o2b3o$185b4o62b4o$195b3o2b3o34b3o2b3o$186b2o
64b2o$196b2o2b2o36b2o2b2o9$192bo54bo$196b2o2b2o36b2o2b2o$176b2o2b2o9b
3o52b3o9b2o2b2o$195b3o2b3o34b3o2b3o$175b3o2b3o8b2o54b2o8b3o2b3o$195b3o
2b3o34b3o2b3o$175b3o2b3o74b3o2b3o$196b2o2b2o36b2o2b2o$176b2o2b2o76b2o
2b2o$196b2o2b2o36b2o2b2o$176b2o2b2o76b2o2b2o$195b3o2b3o34b3o2b3o$175b
3o2b3o3b2o2b2o56b2o2b2o3b3o2b3o$196b2o2b2o36b2o2b2o$176b2o2b2o4b2o2b2o
56b2o2b2o4b2o2b2o$197b4o38b4o$177b4o78b4o$186b6o6b2o40b2o6b6o$178b2o
80b2o2$186b2o2b2o56b2o2b2o2$186b2o2b2o56b2o2b2o38$186b2o2b2o56b2o2b2o
2$186b2o2b2o56b2o2b2o6$186b2o2b2o56b2o2b2o2$187b4o58b4o2$188b2o60b2o!

[BurningPi]

p8:

Code: Select all

x = 13, y = 10, rule = B017/S01
3b5o$3b5o2$2o$2o6bo$8bo2b2o$11b2o2$5b5o$5b5o!

EDIT: Smaller p8:

Code: Select all

x = 9, y = 10, rule = B017/S01
b2o4b2o$b2o4b2o$7b2o2$5bo$3bo2$2o$2o4b2o$2o4b2o!

The period of the replicator shuttle can be changed by moving the pair of blinkers farthest from the replicator at the beginning.
It will oscillate if the length of the shuttle's bounding box is of the form (2^k)n-2^(k-1)+1 where n>0, k>2. To double the period of a shuttle, move the blinkers at the end one cell more than the length of the shuttle. For example, the p16 shuttle is 11 cells long, while the length of the p32 shuttle is 2*11+1=23 cells long.

I haven't been able to prove it yet, but I believe it is possible to create replicator shuttles with periods 2^(k+4) * 2^n-1 for all n>0, k>=0.

[ssaamm]

I've managed, after a lot of effort, a true breeder with quadratic growth:

Code: Select all

x = 374, y = 334, rule = B017/S01
192bo54bo51bo$24bo23bo23bo23bo23bo23bo23bo21b3obo50bob3o21bo25bobo$2bo
19b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo
13bobo50bobo13bo7bob3o11bo11bobo$obobo5bobo11bobo7bobo11bobo7bobo11bob
o7bobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo7bobo11bo54bo11bobo7bobo
11bobo13bo$obobo2bo2bobo11bo9bobo11bo9bobo11bo9bobo11bo9bobo11bo9bobo
11bo9bobo11bo9bobo78bobo9bo11bobo$2bo2bobob2o23bo23bo23bo23bo23bo23bo
23bo82bo23bo$2bo2b4obo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo
11bo11bo82bo11bo11bo$obo2bobo2bobo9bobo9bobo9bobo9bobo9bobo9bobo9bobo
9bobo9bobo9bobo9bobo9bobo9bobo9bobo8b2o58b2o8bobo9bobo9bobo$ob6o2b3obo
5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3o
bo5b3obo9b3obob3ob4o56b4ob3obob3o9bob3o5bob3o$2bobobo5bobo7bo13bobo7bo
13bobo7bo13bobo7bo13bobo7bo13bobo7bo13bobo7bo13bobo5b4o56b4o5bobo13bo
7bobo$4bobo5bo23bo23bo23bo23bo23bo23bo23bo8b2o58b2o8bo23bo11$32bo$30bo
bo165b3o38b3o$30bobo$32bo$195b4o42b4o$194b6o40b6o$194b6o40b6o$195b4o
42b4o$196b2o44b2o3$131bobo172bobo$131bobobo55b2o23bo6bo23b2o55bobobo$
133bo56b4o20b3obo2bob3o20b4o56bo$134b2o54b4o10bobo9bobo2bobo9bobo10b4o
54b2o$134bo25bo25bo4b2o11b3obo7bo6bo7bob3o11b2o4bo25bo25bo$132bobobo
21bobo19bobo4bo15bo2bobo22bobo2bo15bo4bobo19bobo21bobobo$132bobo23bobo
17bobobobo70bobobobo17bobo23bobo$160bo17bobobobo70bobobobo17bo$176bobo
27bobo22bobo27bobo$177b2o27bobo22bobo27b2o$178bobobobo21bo26bo21bobobo
bo$178bobobobo4b2o58b2o4bobobobo$180bobo5b4o15b2o22b2o15b4o5bobo$188b
4o56b4o$29bo159b2o15b4o20b4o15b2o$27bobo$27bobo177b2o22b2o$29bo$203b2o
30b2o2$202b4o28b4o$208b2o2b2o12b2o2b2o$202b4o28b4o$207b4ob2o12b2ob4o$
202b3o30b3o$207b3o20b3o$201bobo2bobo22bobo2bobo$206bobo22bobo$201bobo
32bobo3$365bo$197bo44bo120bob3o$80bo23bo23bo23bo23bo18bobobo40bobobo
18bo23bo23bo23bo25bobobo$66bo11b3obo7bo11b3obo7bo11b3obo7bo11b3obo7bo
11b3obo16bobobo40bobobo16bob3o11bo7bob3o11bo7bob3o11bo7bob3o11bo11bobo
b3o$64bobobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo18bo44bo
18bobo11bobo7bobo11bobo7bobo11bobo7bobo11bobo13bobobo$64bobobo11bo9bob
o11bo9bobo11bo9bobo11bo9bobo11bo8b3o64b3o8bo11bobo9bo11bobo9bo11bobo9b
o11bobo15bobo$66bo23bo23bo23bo23bo114bo23bo23bo23bo$66bo11bo11bo11bo
11bo11bo11bo11bo11bo114bo11bo11bo11bo11bo11bo11bo$64bobobo9bobo9bobo9b
obo9bobo9bobo9bobo9bobo9bobo24b2o58b2o24bobo9bobo9bobo9bobo9bobo9bobo
9bobo$64bob3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo5b3obo9b3obo21b4o
56b4o21bob3o9bob3o5bob3o9bob3o5bob3o9bob3o5bob3o23bo$66bobobo7bo13bobo
7bo13bobo7bo13bobo7bo13bobo21b4o56b4o21bobo13bo7bobo13bo7bobo13bo7bobo
$68bo23bo23bo23bo23bo24b2o58b2o24bo23bo23bo23bo2$203b3o28b3o2$369b4o2$
370b2o$210b2o2b2o8b2o2b2o$198bo42bo$209b8o6b8o$197b3o10bo4bo8bo4bo10b
3o$96bo79b2o30b10o4b10o30b2o79bo21bo$94bobo101b2o10bo4bo8bo4bo10b2o
101bobo$94bobo78b4o30b8o6b8o30b4o78bobo18b3o$96bo246bo$174b6o15b4o11b
2o2b2o8b2o2b2o11b4o15b6o98b2o$194b6o40b6o$173b8ob3o9b6o40b6o9b3ob8o$
174bo4bo15b4o42b4o15bo4bo$173b8o15b2o44b2o15b8o2$174b2o2b5o74b5o2b2o2$
180b4o7b2o5b2o40b2o5b2o7b4o$190b4o52b4o$181b2o7b4o3b3o40b3o3b4o7b2o$
191b2o5bo42bo5b2o$197b2o42b2o$199bo40bo$176b2o2b2o76b2o2b2o$202b3o30b
3o$175b3o2b3o74b3o2b3o$202b2o32b2o$175b3o2b3o6b2o58b2o6b3o2b3o$188b4o
3b2o2b2o38b2o2b2o3b4o$176b2o2b2o6b4o56b4o6b2o2b2o$93bo95b2o4b2o2b2o38b
2o2b2o4b2o$91bobo$91bobo$93bo101b6o9b2o2b2o8b2o2b2o9b6o2$209b8o6b8o$
195b2o2b2o9bo4bo8bo4bo9b2o2b2o$176b2o2b2o26b10o4b10o26b2o2b2o$195b2o2b
2o9bo4bo8bo4bo9b2o2b2o$175b8o26b8o6b8o26b8o2$175b8o27b2o2b2o8b2o2b2o
27b8o$176bo4bo76bo4bo$174b10o72b10o$176bo4bo76bo4bo$175b8o74b8o2$176b
2o2b2o76b2o2b2o2$136bo23bo7bo102bo7bo23bo31b4o$130bo3b3obo7bo11b3obo
38b2o34b2o38bob3o11bo7bob3o3bo$128bobobo3bobo7bobo11bobo114bobo11bobo
7bobo3bobobo24b2o$128bobobo3bo9bobo11bo39b4o32b4o39bo11bobo9bo3bobobo$
130bo15bo146bo15bo$130bobobo11bo11bo23bo74bo23bo11bo11bobobo$128bobobo
bobo9bobo9bobo11bo7b3obo4b2o58b2o4bob3o7bo11bobo9bobo9bobobobobo$128bo
b5obo9b3obo5b3obo9b3obo7bobo3b4o56b4o3bobo7bob3o9bob3o5bob3o9bob5obo$
130bobobo13bobo7bo13bobo7bo5b4o56b4o5bo7bobo13bo7bobo13bobobo$132bo15b
o23bo16b2o58b2o16bo23bo15bo$181bo30b2o12b2o30bo$181bo20b2o32b2o20bo$
181bo29b4o10b4o29bo$201b4o30b4o$210b6o8b6o$200b2o2b2o28b2o2b2o$209b8o
6b8o$178b3o29bo4bo8bo4bo29b3o$209b8o6b8o2$160bo49b2o2b2o8b2o2b2o49bo$
158bobo39b2o2b2o28b2o2b2o39bobo$158bobo118bobo$160bo38b4ob2o28b2ob4o
38bo$195b2o46b2o$194b4o2b2o36b2o2b4o$194b5o42b5o$195b4o42b4o$196b2o44b
2o4$191b2o54b2o$190b4o52b4o$190b4o52b4o$191b2o54b2o3$176b2o2b2o23bo28b
o23b2o2b2o$185b3o17bo28bo17b3o$175b3o2b3o20b5o2b2o2b2o8b2o2b2o2b5o20b
3o2b3o2$175b3o2b3o6b2o12b4o2b8o6b8o2b4o12b2o6b3o2b3o$188b4o18bo4bo8bo
4bo18b4o$176b2o2b2o6b4o12b2o2b10o4b10o2b2o12b4o6b2o2b2o$157bo31b2o19bo
4bo8bo4bo19b2o31bo$155bobo18b2o2b2o27b8o6b8o27b2o2b2o18bobo$155bobo
124bobo$157bo17b3o2b3o26b8o6b8o26b3o2b3o17bo2$175b3o2b3o12b2o2b2o8b8o
6b8o8b2o2b2o12b3o2b3o$210bo4bo8bo4bo$176b2o2b2o13b7o7b8o6b8o7b7o13b2o
2b2o$198bo42bo$196bob3o9b6o8b6o9b3obo2$185b2o24b4o10b4o24b2o2$184b4o
24b2o12b2o24b4o$185bo68bo$185bo68bo5$194bo50bo$192bobobo46bobobo$192bo
bobo46bobobo$194bo17bo14bo17bo$194bo50bo$176b2o14bobobo15b3o10b3o15bob
obo14b2o$192bobobo16bo12bo16bobobo$175b4o15bo16b4o10b4o16bo15b4o$177bo
84bo$177bo34b2o12b2o34bo4$188b2o60b2o$180bo78bo$181b2o4b4o6bo44bo6b4o
4b2o$181bo15bo44bo15bo$175b3o2b3o3b6o4b4o40b4o4b6o3b3o2b3o2$176b2o2b2o
4b2o2b2o5b2o42b2o5b2o2b2o4b2o2b2o4$186b2o2b2o3b2o46b2o3b2o2b2o$194b4o
44b4o$185b8ob5o42b5ob8o$195b4o42b4o$186b2o2b2o4b2o17b4o2b4o17b2o4b2o2b
2o2$216b2o4b2o$202bo34bo$191b2o9bo34bo9b2o$190b4o4bob5o30b5obo4b4o$
190b4o4bobo38bobo4b4o$191b2o3b9o30b9o3b2o$198bo42bo$188bo9bo3b2o32b2o
3bo9bo$176b2o2b2o7bo60bo7b2o2b2o$197bo44bo$175b3o2b3o14bo44bo14b3o2b3o
$196b4o40b4o$175b3o2b3o74b3o2b3o$197b2o42b2o$176b2o2b2o8b2o56b2o8b2o2b
2o$196b2o2b2o36b2o2b2o$176b2o2b2o7b4o54b4o7b2o2b2o$195b3o2b3o34b3o2b3o
$175b3o2b3o7b2o56b2o7b3o2b3o$195b3o2b3o34b3o2b3o$175b3o2b3o74b3o2b3o$
196b2o2b2o36b2o2b2o$176b2o2b2o4b2o64b2o4b2o2b2o$196b2o2b2o36b2o2b2o$
185b4o62b4o$195b3o2b3o34b3o2b3o$185b4o62b4o$195b3o2b3o34b3o2b3o$186b2o
64b2o$196b2o2b2o36b2o2b2o9$192bo54bo$196b2o2b2o36b2o2b2o$176b2o2b2o9b
3o52b3o9b2o2b2o$195b3o2b3o34b3o2b3o$175b3o2b3o8b2o54b2o8b3o2b3o$195b3o
2b3o34b3o2b3o$175b3o2b3o74b3o2b3o$196b2o2b2o36b2o2b2o$176b2o2b2o76b2o
2b2o$196b2o2b2o36b2o2b2o$176b2o2b2o76b2o2b2o$195b3o2b3o34b3o2b3o$175b
3o2b3o3b2o2b2o56b2o2b2o3b3o2b3o$196b2o2b2o36b2o2b2o$176b2o2b2o4b2o2b2o
56b2o2b2o4b2o2b2o$197b4o38b4o$177b4o78b4o$186b6o6b2o40b2o6b6o$178b2o
80b2o2$186b2o2b2o56b2o2b2o2$186b2o2b2o56b2o2b2o38$186b2o2b2o56b2o2b2o
2$186b2o2b2o56b2o2b2o6$186b2o2b2o56b2o2b2o2$187b4o58b4o2$188b2o60b2o!

I don't see.
It just looks like a typical soup to me.
No offense, but I think that most random starting soups have a growth like that.

[David]

p8:

Code: Select all

x = 13, y = 10, rule = B017/S01
3b5o$3b5o2$2o$2o6bo$8bo2b2o$11b2o2$5b5o$5b5o!

EDIT: Smaller p8:

Code: Select all

x = 9, y = 10, rule = B017/S01
b2o4b2o$b2o4b2o$7b2o2$5bo$3bo2$2o$2o4b2o$2o4b2o!

The period of the replicator shuttle can be changed by moving the pair of blinkers farthest from the replicator at the beginning.
It will oscillate if the length of the shuttle's bounding box is of the form (2^k)n-2^(k-1)+1 where n>0, k>2. To double the period of a shuttle, move the blinkers at the end one cell more than the length of the shuttle. For example, the p16 shuttle is 11 cells long, while the length of the p32 shuttle is 2*11+1=23 cells long.

I haven't been able to prove it yet, but I believe it is possible to create replicator shuttles with periods 2^(k+4) * 2^n-1 for all n>0, k>=0.

more smaller p8:

Code: Select all

x = 9, y = 10, rule = B017/S01
b2o$b2o4b2o$7b2o2$5bo$3bo2$2o$2o4b2o$6b2o!

[Ntsimp]

Minimal version of my p96:

Code: Select all

x = 89, y = 89, rule = B017/S01
51b2o$51b2o4$46b2o$46b2o2$54b2o$54b2o13$49bobo2$50b2o5$46b2o$46b2o2$
54b2o$8b2o22b2o20b2o$8b2o22b2o$40bo$2o36bo$2o8bobo25bo$12bo27bo$10bo$
37b2o$5b2o22b2o$5b2o22b2o6bobo4$58b2o22b2o$58b2o22b2o2$54bo$52bo7bobo$
52bobo7bo24b2o$60bo26b2o2$55b2o22b2o$33b2o20b2o22b2o$33b2o2$41b2o$41b
2o13$36bobo2$37b2o5$33b2o$33b2o2$41b2o$41b2o4$36b2o$36b2o!

[apg]

Sorry, I pasted it in the wrong phase. I meant:

Code: Select all

x = 373, y = 334, rule = B017/S01
299bo$190bo3bo50bo3bo47bo$2bo19bo3bo7bo11bo3bo7bo11bo3bo7bo11bo3bo7bo
11bo3bo7bo11bo3bo7bo11bo3bo7bo15bo50bo15bo7bo3bo11bo11bo$o3bo5bobo13bo
9bo13bo9bo13bo9bo13bo9bo13bo9bo13bo9bo13bo9bo11bo54bo11bo9bo13bo15bo$o
6bo4bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo78bo11bo
11bo2$22bo23bo23bo23bo23bo23bo23bo106bo$o5bo17bo23bo23bo23bo23bo23bo
23bo102bo$o13bo5bo3bo13bo5bo3bo13bo5bo3bo13bo5bo3bo13bo5bo3bo13bo5bo3b
o13bo5bo3bo13bobobo2b2o58b2o2bobobo13bo3bo5bo$5bo8bo23bo23bo23bo23bo
23bo23bo23bo6b2o58b2o6bo23bo$4bobo5bo23bo23bo23bo23bo23bo23bo23bo78bo
23bo11$32bo$30bo167bobo38bobo$30bo$32bo2$195b4o42b4o$195b4o42b4o$196b
2o44b2o4$131bobo172bobo$131bo176bo$191b2o21bo3bo2bo3bo21b2o$191b2o25bo
2bo25b2o$160bo25bo21bo7bo6bo7bo21bo25bo$132bo25bo21bobo4bo15bo4bo22bo
4bo15bo4bobo21bo25bo$132bobo23bo19bo5bo70bo5bo19bo23bobo$160bo19bobobo
70bobobo19bo$176bo29bobo22bobo29bo$208bo22bo$180bobobo21bo26bo21bobobo
$178bo5bo70bo5bo$180bobo6b2o16b2o22b2o16b2o6bobo$189b2o58b2o$29bo176bo
2bo20bo2bo$27bo$27bo179b2o22b2o$29bo$203b2o30b2o2$202bo2bo28bo2bo$208b
2o2b2o12b2o2b2o$202bo2bo28bo2bo$207bo2bob2o12b2obo2bo$202bobo30bobo3$
206bobo22bobo5$197bo44bo120bo3bo$195bo3bo40bo3bo116bo4bo$66bo11bo3bo7b
o11bo3bo7bo11bo3bo7bo11bo3bo7bo11bo3bo16bo3bo40bo3bo16bo3bo11bo7bo3bo
11bo7bo3bo11bo7bo3bo11bo11bo$64bo3bo13bo9bo13bo9bo13bo9bo13bo9bo13bo
18bo44bo18bo13bo9bo13bo9bo13bo9bo13bo15bo2bo$64bo3bo11bo11bo11bo11bo
11bo11bo11bo11bo11bo8bobo64bobo8bo11bo11bo11bo11bo11bo11bo11bo17bobo2$
78bo23bo23bo23bo138bo23bo23bo$64bo15bo23bo23bo23bo134bo23bo23bo$64bo5b
o5bo3bo13bo5bo3bo13bo5bo3bo13bo5bo3bo13bo22b2o58b2o22bo13bo3bo5bo13bo
3bo5bo13bo3bo5bo$70bo23bo23bo23bo23bo22b2o58b2o22bo23bo23bo23bo$68bo
23bo23bo23bo23bo110bo23bo23bo23bo2$203bobo28bobo2$369bo2bo2$370b2o$
210b2o2b2o8b2o2b2o3$197bobo11bo2bo10bo2bo11bobo$96bo79b2o30bo8bo4bo8bo
30b2o79bo$94bo103b2o11bo2bo10bo2bo11b2o103bo$94bo80bo2bo82bo2bo80bo18b
obo$96bo246bo$174bo4bo30b2o2b2o8b2o2b2o30bo4bo98b2o$195b4o42b4o$182bob
o10b4o42b4o10bobo$175bo2bo17b2o44b2o17bo2bo3$174b2o2bo3bo74bo3bo2b2o2$
180bo2bo14b2o40b2o14bo2bo$191b2o54b2o$181b2o8b2o54b2o8b2o3$199bo40bo$
176b2o2b2o76b2o2b2o$202bobo30bobo$175bobo2bobo74bobo2bobo$202b2o32b2o$
175bobo2bobo74bobo2bobo$189b2o4b2o2b2o38b2o2b2o4b2o$176b2o2b2o7b2o58b
2o7b2o2b2o$93bo101b2o2b2o38b2o2b2o$91bo$91bo$93bo101bo4bo9b2o2b2o8b2o
2b2o9bo4bo3$195b2o2b2o10bo2bo10bo2bo10b2o2b2o$176b2o2b2o26bo8bo4bo8bo
26b2o2b2o$195b2o2b2o10bo2bo10bo2bo10b2o2b2o$175bo6bo74bo6bo2$210b2o2b
2o8b2o2b2o$177bo2bo78bo2bo$174bo8bo72bo8bo$177bo2bo78bo2bo3$176b2o2b2o
76b2o2b2o2$335bo2bo$130bo3bo3bo7bo11bo3bo38b2o34b2o38bo3bo11bo7bo3bo3b
o$128bo3bo5bo9bo13bo114bo13bo9bo5bo3bo24b2o$128bo3bo3bo11bo11bo39bo2bo
32bo2bo39bo11bo11bo3bo3bo2$132bobo23bo122bo23bobo$128bo2bobo2bo23bo19b
o3bo70bo3bo19bo23bo2bobo2bo$128bo7bo13bo5bo3bo9bo3bo9bo4b2o58b2o4bo9bo
3bo9bo3bo5bo13bo7bo$150bo23bo7bo6b2o58b2o6bo7bo23bo$132bo15bo23bo94bo
23bo15bo$181bo30b2o12b2o30bo$202b2o32b2o$181bo29bo2bo10bo2bo29bo$201bo
2bo30bo2bo$210bo4bo8bo4bo$200b2o2b2o28b2o2b2o2$178bobo30bo2bo10bo2bo
30bobo3$160bo49b2o2b2o8b2o2b2o49bo$158bo41b2o2b2o28b2o2b2o41bo$158bo
122bo$160bo38bo2bob2o28b2obo2bo38bo2$195b2o3b2o36b2o3b2o$195b3o44b3o$
196b2o44b2o6$191b2o54b2o$191b2o54b2o4$176b2o2b2o23bo28bo23b2o2b2o$185b
obo64bobo$175bobo2bobo20bo3bo2b2o2b2o8b2o2b2o2bo3bo20bobo2bobo2$175bob
o2bobo20bo2bo26bo2bo20bobo2bobo$189b2o20bo2bo10bo2bo20b2o$176b2o2b2o7b
2o13b2o2bo8bo4bo8bo2b2o13b2o7b2o2b2o$157bo53bo2bo10bo2bo53bo$155bo20b
2o2b2o76b2o2b2o20bo$155bo128bo$157bo17bobo2bobo26bo6bo6bo6bo26bobo2bob
o17bo2$175bobo2bobo12b2o2b2o38b2o2b2o12bobo2bobo$211bo2bo10bo2bo$176b
2o2b2o13bo5bo36bo5bo13b2o2b2o$199bo40bo$200bo9bo4bo8bo4bo9bo2$185b2o
24bo2bo10bo2bo24b2o2$187bo24b2o12b2o24bo2$185bo68bo5$194bo50bo$192bo3b
o46bo3bo$192bo3bo46bo3bo3$176b2o14bo3bo46bo3bo14b2o$192bo3bo46bo3bo$
175bo18bo16bo16bo16bo18bo2$177bo34b2o12b2o34bo4$188b2o60b2o$180bo78bo$
187bo2bo6bo44bo6bo2bo2$175bobo8bo4bo7bo40bo7bo4bo8bobo2$176b2o2b2o4b2o
2b2o5b2o42b2o5b2o2b2o4b2o2b2o4$186b2o2b2o56b2o2b2o$195b2o46b2o$185bo6b
o2b3o44b3o2bo6bo$196b2o44b2o$186b2o2b2o23bo2bo2bo2bo23b2o2b2o2$216b2o
4b2o$202bo34bo2$191b2o5bo5bo30bo5bo5b2o$191b2o6bobo36bobo6b2o$196bo7bo
30bo7bo2$188bo9bo3b2o32b2o3bo9bo$176b2o2b2o7bo60bo7b2o2b2o$197bo44bo$
175bobo2bobo74bobo2bobo$199bo40bo$175bobo2bobo74bobo2bobo$197b2o42b2o$
176b2o2b2o8b2o56b2o8b2o2b2o$196b2o2b2o36b2o2b2o$176b2o2b2o7bo2bo54bo2b
o7b2o2b2o$195bobo2bobo34bobo2bobo$175bobo2bobo7b2o56b2o7bobo2bobo$195b
obo2bobo34bobo2bobo$175bobo2bobo74bobo2bobo$196b2o2b2o36b2o2b2o$176b2o
2b2o4b2o64b2o4b2o2b2o$196b2o2b2o36b2o2b2o$185bo2bo62bo2bo$195bobo2bobo
34bobo2bobo$185bo2bo62bo2bo$195bobo2bobo34bobo2bobo$186b2o64b2o$196b2o
2b2o36b2o2b2o10$196b2o2b2o36b2o2b2o$176b2o2b2o9bobo52bobo9b2o2b2o$195b
obo2bobo34bobo2bobo$175bobo2bobo8b2o54b2o8bobo2bobo$195bobo2bobo34bobo
2bobo$175bobo2bobo74bobo2bobo$196b2o2b2o36b2o2b2o$176b2o2b2o76b2o2b2o$
196b2o2b2o36b2o2b2o$176b2o2b2o76b2o2b2o$195bobo2bobo34bobo2bobo$175bob
o2bobo3b2o2b2o56b2o2b2o3bobo2bobo$196b2o2b2o36b2o2b2o$176b2o2b2o4b2o2b
2o56b2o2b2o4b2o2b2o$197bo2bo38bo2bo$177bo2bo78bo2bo$186bo4bo6b2o40b2o
6bo4bo$178b2o80b2o2$186b2o2b2o56b2o2b2o2$186b2o2b2o56b2o2b2o38$186b2o
2b2o56b2o2b2o2$186b2o2b2o56b2o2b2o6$186b2o2b2o56b2o2b2o2$187bo2bo58bo
2bo2$188b2o60b2o!

That's why B0 rules are so annoying: you can't paste between generations of different parity.

[apg]

In fact, Golly should advance the pattern by two generations at a time, invariably, to stop this happening.

[ssaamm]

Unfortunately, though, then the inverted patterns would always look like the odd generations, while the regular would be even. Inverted patterns have almost no use, but It would still make editing them very difficult.

[knightlife]

Airplane factory:

Code: Select all

x = 64, y = 64, rule = B017/S01
5b2o34b2o$5b2o34b2o3$17bo3bo$2o19bo$2o17bo2$8b2o34b2o$8b2o34b2o18$52b
7o$52b7o3$46b2o6bobo$46b2o6bobo3$52b7o4bo$52b7o$63bo17$8b2o34b2o$8b2o
34b2o2$2o17bo$2o19bo$17bo3bo3$5b2o34b2o$5b2o34b2o!

It is based on this quadratic:

Code: Select all

x = 17, y = 11, rule = B017/S01
5b7o$5b7o3$7bobo$7bobo3$o4b7o4bo$5b7o$o15bo!

Sierpinski again:

Code: Select all

x = 5, y = 196, rule = B017/S01
2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2b
o$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$
4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4b
o$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$
4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4b
o$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$
2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2b
o3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$o3bo$4bo$obo
!

Bomber run drops p4 bombs:

Code: Select all

x = 5, y = 70, rule = B017/S01
o$2bo$obo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$
4bo$2bo3$obo$obo2$o$2bo$4bo$4bo$2bo$o2$obo$obo3$2bo$4bo$4bo$2bo3$2bo$
4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$2bo$4bo$4bo$2bo3$obo$2bo$o!

EDIT:
90 degree reflector for p8 "crawler":

Code: Select all

x = 38, y = 11, rule = B017/S01
27b2o$15b2o10b2o$15b2o2$o$2bo33b2o$obo33b2o2$22b2o$15b2o5b2o$15b2o!

[apg]

It is based on this quadratic:

Wow! Your rake gun breeder is much smaller than my puffer^2 breeder.

[knightlife]

It is based on this quadratic:

Wow! Your rake gun breeder is much smaller than my puffer^2 breeder.

It was quite surprising when adding one blinker had that result.


Slow rake emulator:

Code: Select all

x = 79, y = 113, rule = B017/S01
16b2o$14b7o$14b7o2$26bo$8b2o2bobobobo9bo$8b2o2bobobobo9bo$26bo2$14b7o$
14b7o25$6b7o$6b7o2$18bo9bo9bo9bo9bo9bo8b2o$2o2bobobobo9bo9bo9bo9bo9bo
9bo$2o2bobobobo9bo9bo9bo9bo9bo9bo6b2o$18bo9bo9bo9bo9bo9bo2$6b7o$6b7o
17$73bo2bo2$74b2o3$17b2o$15b7o$15b7o2$27bo9bo9bo9bo9bo$9b2o2bobobobo9b
o9bo9bo9bo9bo$9b2o2bobobobo9bo9bo9bo9bo9bo$27bo9bo9bo9bo9bo2$15b7o$15b
7o6$72bobo2$72b2o18$34b2o$32b7o$32b7o2$44bo$26b2o2bobobobo9bo$26b2o2bo
bobobo9bo$44bo2$32b7o$32b7o!

[David]

Slow rake emulator:

Code: Select all

x = 79, y = 113, rule = B017/S01
16b2o$14b7o$14b7o2$26bo$8b2o2bobobobo9bo$8b2o2bobobobo9bo$26bo2$14b7o$
14b7o25$6b7o$6b7o2$18bo9bo9bo9bo9bo9bo8b2o$2o2bobobobo9bo9bo9bo9bo9bo
9bo$2o2bobobobo9bo9bo9bo9bo9bo9bo6b2o$18bo9bo9bo9bo9bo9bo2$6b7o$6b7o
17$73bo2bo2$74b2o3$17b2o$15b7o$15b7o2$27bo9bo9bo9bo9bo$9b2o2bobobobo9b
o9bo9bo9bo9bo$9b2o2bobobobo9bo9bo9bo9bo9bo$27bo9bo9bo9bo9bo2$15b7o$15b
7o6$72bobo2$72b2o18$34b2o$32b7o$32b7o2$44bo$26b2o2bobobobo9bo$26b2o2bo
bobobo9bo$44bo2$32b7o$32b7o!

That is slidegun. Not a rake!

[knightlife]

That is slidegun.

That is true. I was thinking about rakes at the time...

Slight difference in these two p16 guns:

Code: Select all

x = 10, y = 30, rule = B017/S01
7b2o$2o5b2o$2o2$8bo$8bo3$7b2o$7b2o11$7b2o$2o5b2o$2o2$8bo$8bo3$7b3o$7b
3o!

[Extrementhusiast]

An interesting way for double replicator puffers to react:

Code: Select all

x = 41, y = 10, rule = B017/S01
4bo$2bobo$o$o$2bobo31bo$4bo31bobo$40bo$40bo$36bobo$36bo!

And another:

Code: Select all

x = 27, y = 10, rule = B017/S01
4bo$2bobo$o$o$2bobo17bo$4bo17bobo$26bo$26bo$22bobo$22bo!

And interesting ways in how they react with blocks:

Code: Select all

x = 24, y = 26, rule = B017/S01
13bo$11bobo8b2o$9bo12b2o$9bo$11bobo$13bo13$16b2o$4bo11b2o$2bobo$o$o$2b
obo$4bo14b2o$19b2o!

Alternating increasing period gun:

Code: Select all

x = 46, y = 29, rule = B017/S01
10$17bo8b2o$15bobo8b2o$13bo$13bo$15bobo$17bo!

If you don't want it alternating, add a block:

Code: Select all

x = 25, y = 22, rule = B017/S01
5$8bo8b2o$6bobo8b2o$4bo$4bo$6bobo$8bo5$10b2o$10b2o!

[ssaamm]

With some effort, I found some natural objects:

Code: Select all

x = 47, y = 12, rule = B017/S01
17b2o$27b2o$16bo2bo2b2o16b2o$b2o3b2o18bobo6b2o$15bo8bo16bo3b2o$o2bobo
2bo7bobobobo12bo$15bo3bo3bo20bo$b2o3b2o$4bo41bo$22b2o$21b3o$3bobo15b3o
!

All of these came from a random start.

[Extrementhusiast]

Rake:

Code: Select all

x = 11, y = 12, rule = B017/S01
10bo$10bo$obo3bo$o5bo$2bo3$2bo$o5bo$obo3bo$10bo$10bo!

p20 gun for p2 spaceships:

Code: Select all

x = 13, y = 10, rule = B017/S01
6b7o$6b7o3$2o5bo$2o5bo3$6b7o$6b7o!

p20 gun for p8 spaceships:

Code: Select all

x = 14, y = 10, rule = B017/S01
5b8o$5b8o3$2o5bo$2o5bo3$6b8o$6b8o!

Assorted guns:

Code: Select all

x = 60, y = 218, rule = B017/S01
38b2o$34bo3b2o$32bo$32bo3bo$15b2o$15b2o$32bo3bo$32bo3bo$34bo3$38b2o$
38b2o11$27b2o$27b2o2$33bo$31bo3bo$30bo4bo$33bo2$35b2o$35b2o17$32b2o$
32b2o3$34bobo$26b2o6bobo$26b2o3$34b3o$34b3o25$57b2o$57b2o3$48b2o7bobo$
48b2o7bobo3$57b2o$57b2o6$18b2o$18b2o2$o$2bo$2bo$o2$6b2o$6b2o35$9bo2$2o
3bo7bo$2o3bo2bobo2bo$11bo2$6b3o$6b3o3bobo31$17b2o$17b2o$37b2o$15bo4bob
o14b2o$14bo2$7b2o$7b2o6$20b2o2$20b2o$24b2o$24b2o18$16b2o$16b2o!

[knightlife]

Gun starts from only 6 cells:

Code: Select all

x = 9, y = 10, rule = B017/S01
8bo2$8bo3$7bo$7bo3$obo!

The period is adjustable:

Code: Select all

x = 19, y = 30, rule = B017/S01
8bo9bo2$8bo9bo3$17bo$17bo3$10bobo11$o17bo2$o17bo3$17bo$17bo3$2bobo!

An extra blinker has been added to change the dual gun into a single output gun.

Spaceships can shift to a different track:

Code: Select all

x = 48, y = 87, rule = B017/S01
23b2o$23b2o7b2o$32b2o$8bo$10bo$8bobo3$23b2o$23b2o6b2o$31b2o7$23b2o$23b
2o6b2o$31b2o$7bo$9bo$9bo$7bo2$22b2o$22b2o$29b2o$29b2o25$14b3o$14b3o7b
2o$24b2o6b2o$o31b2o6b2o$2bo37b2o$2bo$o2$15b2o$15b2o6b2o$23b2o6b2o13b2o
$31b2o6b2o5b2o$39b2o9$14b3o$14b3o7b2o$24b2o6b2o$o31b2o6b2o$2bo37b2o$ob
o3$15b2o$15b2o6b2o$23b2o6b2o$31b2o6b2o$39b2o!

These conduits produce delay and/or track shifting bidirectionally making a high period adjustable gun more compact:

Code: Select all

x = 100, y = 40, rule = B017/S01
6b2o19b4o14b4o14b4o15b2o11b2o$6b2o19b4o6b2o6b4o6b2o6b4o15b2o11b2o$37b
2o16b2o$13bo$2o13bo$2o11bobo3$28b2o16b2o16b2o19b2o11b2o$28b2o6b4o6b2o
6b4o6b2o19b2o11b2o$36b4o14b4o16$6b2o19b4o$6b2o19b4o6b2o$37b2o6b2o$13bo
31b2o6b2o$2o13bo37b2o6b2o19b2o11b2o$2o11bobo45b2o19b2o11b2o3$28b2o$28b
2o6b2o$36b2o6b2o$44b2o6b2o$52b2o6b4o21b2o11b2o$60b4o21b2o11b2o!

The same conduits will accept p2 or p8 spaceships at the input, allowing conversion from p2 to p8.

Modified output allows all conversion/shift options:

Code: Select all

x = 80, y = 33, rule = B017/S01
46b3o$46b3o7b2o$56b2o6b2o$o31bo31b2o$2bo31bo$2bo29bobo$o2$47b2o$47b2o
6b2o$55b2o6b2o$63b2o9$46b3o$46b3o7b2o$56b2o6b2o$o31bo31b2o6b2o$2bo31bo
37b2o$obo31bo$32bo2$47b2o$47b2o6b2o$55b2o6b2o13b2o$63b2o6b2o5b2o$71b2o
!

[knightlife]

This backrake contains a binary counter within it:

Code: Select all

x = 112, y = 17, rule = B017/S01
75bobo21bobo5bobo$77bo23bo7bo$75bo23bo7bo2$109bo$99bo3bo3bo3bo$99bo7bo
3bo3$99bo7bo3bo$99bo3bo3bo3bo$109bo2$2bo96bo7bo$4bo82bobo11bo7bo$o3bo
84bo9bobo5bobo$87bo!

A p6 spaceship is released every time the counter cycles through all states.

The period of the backrake is doubled if the trailing spaceship is moved further back by 24 cells.
This adds one more bit to the binary counter:

Code: Select all

x = 136, y = 137, rule = B017/S01
99bobo21bobo5bobo$101bo23bo7bo$99bo23bo7bo2$133bo$123bo3bo3bo3bo$123bo
7bo3bo3$123bo7bo3bo$123bo3bo3bo3bo$133bo2$98bo24bo7bo$100bo10bobo11bo
7bo$96bo3bo12bo9bobo5bobo$111bo14$99bobo21bobo5bobo$101bo23bo7bo$99bo
23bo7bo2$133bo$123bo3bo3bo3bo$123bo7bo3bo3$123bo7bo3bo$123bo3bo3bo3bo$
133bo2$74bo48bo7bo$76bo34bobo11bo7bo$72bo3bo36bo9bobo5bobo$111bo14$99b
obo21bobo5bobo$101bo23bo7bo$99bo23bo7bo2$133bo$123bo3bo3bo3bo$123bo7bo
3bo3$123bo7bo3bo$123bo3bo3bo3bo$133bo2$50bo72bo7bo$52bo58bobo11bo7bo$
48bo3bo60bo9bobo5bobo$111bo14$99bobo21bobo5bobo$101bo23bo7bo$99bo23bo
7bo2$133bo$123bo3bo3bo3bo$123bo7bo3bo3$123bo7bo3bo$123bo3bo3bo3bo$133b
o2$26bo96bo7bo$28bo82bobo11bo7bo$24bo3bo84bo9bobo5bobo$111bo14$99bobo
21bobo5bobo$101bo23bo7bo$99bo23bo7bo2$133bo$123bo3bo3bo3bo$123bo7bo3bo
3$123bo7bo3bo$123bo3bo3bo3bo$133bo2$2bo120bo7bo$4bo106bobo11bo7bo$o3bo
108bo9bobo5bobo$111bo!

This is actually a backrake breeder firing new backrakes backwards, but they interfere with each other (in a good way).

[apg]

Log* pattern:

Code: Select all

x = 58, y = 17, rule = B017/S01
19bo3bo19bo3bo3bo3bo$23bo23bo7bo$21bo23bo7bo2$9bobo29bobo5bo$7bo5bo25b
o5bobo7bobo$7bobobobo11bo3bo9bobobobobobo5bobo$2o24bo4bo$2o29bo$7bobo
16bo2bo9bobobobobobo5bobo$7bobo3bobo9bobo11bo5bobo7bobo$15bo25bobo5bo$
13bo$45bo7bo$31bo3bo11bo7bo$35bo7bo3bo3bo3bo$33bo!

The spaceships exit to the bottom at a rate of O(log*(t)), where log* is the (very slow!) iterated logarithm function.

http://en.wikipedia.org/wiki/Iterated_logarithm

The pattern has an upper bound of O(t), and a lower bound of O(log*(t)).


It is quite easy to make a similar pattern in Life. I shall do that now, unless anyone beats me to it!

[knightlife]

The spaceships exit to the bottom at a rate of O(log*(t)), where log* is the (very slow!) iterated logarithm function.

A cleaner version with bits represented by a single spaceship:

Code: Select all

x = 38, y = 22, rule = B017/S01
37bo$37bo2$10b2o$2o8b2o21bo3bo$2o31bo3bo2$27bo$29bo7bo$35bobo2$3b2o$3b
2o30bobo$29bo7bo$27bo2$33bo3bo$33bo3bo3$37bo$37bo!

After about 12,500 generations you will see the third spaceship form and go south, but then the counter will have to count through more than 10^100 states before the pattern starts to return to the three blocks (wait another few googol generations at least) to form a fourth...

[Extrementhusiast]

Here's an interesting challenge: Using a periodic spaceship input (from a gun, but there need not be an actual gun, a long stream would suffice), do one of three related challenges:

1. construct a "macro-oscillator" with the highest period
2. construct a controllable wickstretcher of any period at any rate
3. construct a controllable fuse of any period at any rate

What I mean by "macro-oscillator" is that a spaceship hits a solid blob and makes something stable, say, a blinker, and then another spaceship on the same track hits that blinker (or the blob again) and produces something else, and so on, until it returns to its initial state. Here is a fourth, somewhat unrelated challenge:

4. construct a periodic negative-to-positive converter (we're talking same definition of "periodic" here as before)

This means that a spaceship gets converted (which may or may not do "damage"), and any number of identical spaceships along the same track (as if from a gun) then restores it. Here's an example of number 1 (p2):

Code: Select all

x = 50, y = 5, rule = B017/S01
2o$2o8bo12bo12bo12bo$8bo12bo12bo12bo$8bo12bo12bo12bo$10bo12bo12bo12bo!

Here's a p4 example:

Code: Select all

x = 79, y = 53, rule = B017/S01
4b2o$4b2o21$2o$2o$8bo9bo9bo9bo9bo9bo9bo9bo$6bo9bo9bo9bo9bo9bo9bo9bo$6b
o9bo9bo9bo9bo9bo9bo9bo$8bo9bo9bo9bo9bo9bo9bo9bo2$2o$2o21$4b2o$4b2o!

On a different note (such as D#), here is a p128 oscillator:

Code: Select all

x = 14, y = 33, rule = B017/S01
12b2o$12b2o$4b2o$4b2o6$2o$2o$2o9$3b2o$3b2o2b2o$3b2o$9bo2$7b2o5$11b2o$
10b3o$10b2o!

[apg]

A cleaner version with bits represented by a single spaceship:

That's much better; I'm not convinced that my original does work as intended.


The fourth spaceship will be emitted at ~2^390 generations. That is way beyond QuickLife, but within the realms of HashLife. The fifth spaceship is beyond even HashLife.


In order to do this in HashLife, I'll have to make a 3-state rule table to emulate B017/S01.