Miscellaneous Discoveries in Other Cellular Automata

[confocaloid]

[...] "natural" (is there a better term?) [...]

A better term for what? It is unclear what you want to communicate.

[hotcrystal0]

This gun thing:

Code: Select all

x = 13, y = 10, rule = B3-j/S2-i3-a4ei6c
4b3o$4bo2bo$4bo2bo$3bob2o$2o2bo$o2b2o4b2o$2o6b2ob2o$2bo2b4o3bo$2b2o2b
2o2b3o$8b2o!

[confocaloid]

This gun thing:

Code: Select all

x = 13, y = 10, rule = B3-j/S2-i3-a4ei6c
4b3o$4bo2bo$4bo2bo$3bob2o$2o2bo$o2b2o4b2o$2o6b2ob2o$2bo2b4o3bo$2b2o2b
2o2b3o$8b2o!

It is a strange asymmetric gun with internal interactions. A small region in the middle is p112, but the entire gun is p224. Capped in [R]Investigator:

Code: Select all

x = 142, y = 117, rule = B3-j/S2-i3-a4ei6cInvestigator
68.8C$61.7C8.3C$57.4C17.2C$79.2C$80.2C4$84.3C$87.C$34.2C52.C$33.C55.C
$32.2C55.C$31.C58.C$30.C60.2C$30.C62.C$29.C64.C$28.C66.C$28.C67.C$27.
C69.C$26.C71.C$26.C72.2C$25.C75.C$24.C77.C$24.C78.2C$23.C$23.C$22.C$
22.C$21.C$21.C$20.C$19.C$18.C6$140.C$140.C$140.C$140.C$140.C$C139.C$C
139.C$C139.C$C77.3A59.C$.C76.A2.A58.C$.C76.A2.A58.C$.C75.A.2A59.C$.C
72.2A2.A61.C$.C72.A2.2A4.2A56.C$.C72.2A6.2A.2A$.C74.A2.4A3.A$.C74.2A
2.2A2.3A$2.C79.2A$2.C$2.C$2.C$2.C$2.C$2.C$2.C$3.C$3.C$3.C$3.C$3.C4$
135.C$135.C$134.C$132.2C$131.C$131.C$130.C$129.C$128.C$126.2C$125.C$
124.C$123.C$121.2C$120.C$119.C$118.C$24.C93.C$25.C90.2C$25.C89.2C$26.
C$26.C$26.C$27.C$27.C$28.C$29.C$29.C$30.C$31.C$31.C$32.C$33.C$34.C$
35.2C$37.C$38.C$38.3C$41.C$42.3C$44.3C$46.C23.3C$47.6C20.5C$52.2C24.
10C$88.6C!

[PiSpaceships]

A common puffrake in B2e3aijk/S23:

Code: Select all

x = 64, y = 64, rule = B2e3aijk/S23
2o4b7ob2obobob4o7bob4ob2o3bo3b3o2bobobo3b3o$o2bo2b2obo4b2obobo3b3obob
o2bo2bo2b2ob2o4b2obob4ob4obo$obo2bo2bo2bobo3b2o4b5o5b2o4b2ob2obob5o2b
2obo2bo2bo$b3o7b5ob2obo2bo2b2o2bo3b3ob3o3bob3o2bo2b3ob2ob3o$bo3bo2b3o
2b4o6b6o3b4o4bo2b2o7bo3b4obo$b2o2b3obobo2bob4o2bo2b5o2bobo2b3o5bo3b2o
3b3o3bob2o$3bo2bobob2ob2ob4obo2b2ob3o3bo2b2ob3o2b2ob3obobobobo2bob2o$
3b2o4b2o2b2o2b2ob3o6bobo2b2ob2o4b4o3bo3bo3b2obo$bo3bo2b2obobo5bo2bob3o
2bobo2b2o2b3obobobo2bo2b2o2bo3b3o$2o2b4o4bob2ob3obobob2obo2b2o2b6o2bo
bob3ob2obobob2ob3o$2b2o2b2o2b2o5b2o2bob4obo3bob2o3b6obo4bobo3b3obo$b2o
bo4bo2b3o4bo3b8ob2ob3o2b5o3bob2obob2o6bo$3obob4ob2o2bo6b2obob2obo2b3o
b4o2b4obo3bobobob3o$b3obobo2bo2b3o3bob2o4bob5ob3obobob3o4b2obobo3b2o$
b2o3bo2b3o5bo3b2ob2o2b2obo2b2obob3ob4o6b2o4bob2o$2o3bobob4o3bobo2b2o8b
o2b2o2bob4o5bo3bo3b2o3bo$2bo2bo3bo5b3o5b2ob2o4bo2b3o2b3o5b2o4bo5b4o$2o
2b3ob3obob2obob3o3b2obob2o3bo2bo2bo2bob2o3b2o3b7o$2obo3bo3bo2bo2b2ob2o
bobobo2b4obobo2bob2ob3o2b4obob2o2b2o$o2bo5b3obo2b3ob2obo4b3o2bo4b2ob2o
3bo3bo2bo2bob5o$3o2bo3bobo3bobob2o2b3ob2o3bo2b2o4b3ob2o2bob3o2bobobo$
b2obob2o2bo2b2o3bobo4bo2bo2bob7o6bob8ob2o$2b3ob3o3b2o2bobo3bobo3bo2b2o
bo4b2o2bo2b2obob2obo2bo2b2o$ob4obob3ob4ob3ob2obo4bobobo4b2o2bob3ob2o2b
o2bob4o$obobob2o2b2obo2b4o2bo4bob2o2bobob5o2bobobob2o2b5obob2o$o2bo2b
o2bo2bo5b2obo2b2o2b2o2b3o4b3o2b2ob2ob7ob5o$o2bo2b2o4bob4o2b2o4bo2bobo
bobo4bo2b2ob3o2b2obo4bob2o$ob2ob2obob2ob3o2b3o5b3ob2ob2ob3o6bo2b6ob3o
b2o2bo$3b4obob2obob3o2bo3b2o2bob2ob2o2bo3bo2bob2ob2o2bo2b3o2b2o$bo3bo
bobo5bob5obob2o2b2obob2o2bo2bo3b7o3b2o2bo$obo2b2obo2bobo5bob2o4bo3b2o
4b5o3b4o2b4ob3o3b2o$b3o3b5o2b3o4bob2obo2bobobobobobob2ob3obo4bo5b2o$o
bo3bobobo2b2ob4o3bo5bo2b2ob2o2b2o2bobo5bo2bo3bob3o$b2o2bo4b12obobobo2b
obo3bo2b2o4bo3bo3bo2b2ob4o$5bob3ob5o3b2ob3obo4bo2bo4b2obob2o4bo5b2o2b
2obo$b2ob4o4b2obob5obob3ob3ob2obobob2o2bob2ob3ob3o4bo2bo$2b2ob6obobo5b
o5b4o2b3o2b2o2bo3bo2bo2b4ob2obo2bo$o4bob4o2b7o2b5obo4bob2obob3ob2o3b2o
bob4ob3o$bobo2bobo2b2obo3b2ob2o4b3ob2o2bobo2bo2bobo2b3obo3b8o$3obo2bo
b2obo9b3ob3obob4obobobobobobo2b6ob3o2bo$2b3obobobobo6b2o2bob3obob2ob4o
6bo2bo2bob2o2bob2ob3o$bo2bob2obobobob4obob2ob3o6bobob2o2bo2bo3b2ob4o2b
o2b3o$bo5bobob2o3b2o2bobobo2b2o2b3ob3ob3ob2o2bo3bobob3o2b2obo$8o2bo3b
ob2obo2b2o2b3o3bobobo2bo2b3o2b2obo4b2o2bobo$3b2obo2b2ob7o2b2ob5o3bobo
2b3ob5ob3obo5b5obo$2obo2bobob5o2b4o2bo2b2obo2b2obo5b4obobobobo5b4o$3b
obobo2b3ob2ob2o3b4o2b3ob7obob4obobob6o2b3o$o3bo2b5obob2o4b3ob2o4bob8o
bo2bo2b2ob4ob3obo$o2b2o3b3o2b2o7b5obo4bo6bo4b2ob4o4bo2bobo$2bo3b2ob4o
2b4ob2ob2o4b2o4b2obob3o2b3o2b4o2b3obo2bo$2bo4bobobob2o4b4o2b3o4bo2b4o
3b2obobob3o2b2ob2o$3b2o4bo2b2obo3b3o3bo3b6o2bob2obob3o2bobo6b3ob2o$2o
2bo4b2obo4b2obob2o2b3obo2bobo2bob6o2b2ob5obobo$o2b4o3b2o2bo3bob2o6b2o
3b4ob2o5bo3bob2o2b3o4bo$3obobo2b2o2bo4b2obobo2b2obobobob2o3bobo3bob3o
2bob4obo2bo$b7obobo2bobo2b2o2bob4ob3ob2obob2o3b2obob2o2bobob2o2bo$obo
b2ob2o2b2obob4ob5o2bo3bob3o2b4o6bobob2obo3b3o$ob3obob3o4b8o3bobo2bob2o
2bobo4b4o7b9o$obo3bob4o2bobob2o2b3o2b3ob2obo3b2o3bobobo2bobo4bob3o$b2o
4b3obob3obob2o3b6o2b2o2b2ob2o3bob3obobobob8o$ob3obo7b3o2bob2obo2b2o2b
3o3bo2bob2o2b5o3bo5bobo$o3bob2o2b3obobob2o3bobobobo2b2o7b3ob4o2bo6b2o
bobo$o3bo2bobo3bo2bo2b2obob3o3b3obob4obobo2bo3b5o3bo2b3o$o5bobobo2b2o
6b4obobo3b2o3b2o2bo3bobo2b2obobo3b3o!

Edit: a puffer:

Code: Select all

x = 11, y = 8, rule = B2e3aijk/S23
9bo$obo2b2obo$3obo$5b2o$6bo$6bo$4bobobobo$4b3ob3o!

edit2: another puffer+modifier=puffrake

Code: Select all

x = 96, y = 313, rule = B2e3aijk/S23
6$55bo3bo$2o52bobobobo15b3o$bo52bobobobo15bobo$58bo$57b2o$58b3o$60bo$
18b3o34bo3b2o$18bobo35bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61b
o$60bo5$55bo$56bo$61bo$60bo2$91b3o$91bobo2$55bo$56bo$61bo$60bo5$55bo$
56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61b
o$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo
5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo
$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$
61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60b
o5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55b
o$56bo$61bo$60bo5$55bo$56bo$61bo$60bo5$55bo$56bo$61bo$60bo2$12b3o$12b
obo2$55bo$56bo$61bo$60bo5$55bo$4bo51bo$3bobo55bo$3bobo54bo5$55bo$56bo
$61bo$28bo31bo$27bobo$27bobo$46bo$45bobo$45bobo7bo$56bo$61bo$42bo17bo
$41bobo$41bobob3o$43bobobo$43bo$42b2o11bo$44bo11bo$43b2o16bo$45bo14bo
$44bobo$43b2ob2o$43b2ob2o$44bobo$45bo9bo$56bo$61bo$60bo2$47b2o3b2o$47b
2o3b2o2b2o$56bobo$54bo3bo$51b2ob5o$51b2ob3o4bo$35bo7b2o15bo$34bo8b2o$
51b2ob2o$51b2ob2o$53bo$48b2o5bo$48b2o6bo$60b2o$34bo8b2o15b2o$35bo7b2o
$47b2o3b2o5b2o$47b2o3b2o5b2o$56b2o$56b2o$51b2o$51b2o2bo$35bo7b2o9bo6b
2o$34bo8b2o16b2o$54b2o$54b2o$36b2o$35bo19bo$36b2o18bo$60b2o$34bo8b2o15b
2o!

edit3: a gun:

Code: Select all

x = 12, y = 14, rule = B2e3aijk/S23
7b2o$7b2o$10b2o$6b2o2b2o$6bobo$2o6bo$2o4bobo$6b2o$10b2o$10b2o3$7b2o$7b
2o!

[Supersuthiastic]

vaporizer:

Code: Select all

x = 334, y = 369, rule = B3-cer4j/S2ae3jnr
109bo36bo18bo$13bo18bo19bo16bo19bo18bo19bo16bo18bo36bo$12bo18bo19bo16b
o19bo19b3o16bo17b3o16b3o15bo17bo$12b3o16b3o17b3o14b3o17b3o36b3o51bo18b
3o$181b3o4$145bo$13b3o17b3o89bo18b2o55bo$13bo19bo20bo17bo20bo13b2o15b
2o18bobo14b2o20bo16b2o$14bo19bo18b2o16b2o19b2o13bobo14bobo34bobo18b2o
16bobo$53bobo15bobo18bobo12bo53bo20bobo7$270bo$224bo22bo21bo62bo$185bo
15bo21bo22bo22b3o18bo22bo17bo$184bo15bo22b3o20b3o40bo22bo18b3o$41bo16b
o17bo16bo16bo15bo17bo16bo22b3o13b3o86b3o20b3o$21bo18bo16bo17bo16bo16bo
15bo17bo16bo$20bo19b3o14b3o15b3o14b3o14b3o13b3o15b3o14b3o$20b3o4$179b
3o15b3o59b2o$31b3o16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11b2o23b
2o20bobo20b2o40b2o$9b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13b2o
23b2o21bo21b2o12b2o26b2o$11bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo
44bo15b2o24bo$10bo285bo23$61bo157bo$29bo30bo157bo38bo$28bo15bo15b3o
155b3o14bo20bo$28b3o12bo190bo21b3o$43b3o188b3o5$260b3o$63b2o173bo21bo$
63bobo146b2o23b2o22bo$21b2o21b2o17bo149b2o22bobo$20bobo21bobo165bo$22b
o21bo17$39bo15bo39bo153bo24bo19bo$17bo20bo15bo39bo120bo16bo15bo24bo19b
o$16bo21b3o13b3o15bo21b3o17bo99bo16bo16b3o22b3o17b3o$16b3o52bo41bo100b
3o14b3o$71b3o39b3o5$74b3o$9b3o62bo17b2o16bo103bo35b2o35b2o$11bo21b2o
15b2o23bo16bobo14b2o102b2o16b2o17bobo11b2o22b2o$10bo23b2o15b2o39bo16bo
bo101bobo15bobo16bo14b2o20bo$33bo16bo180bo32bo15$19bo233bo$18bo20bo
194bo17bo$18b3o17bo166bo27bo18b3o$38b3o163bo28b3o$204b3o6$35bo$13b2o
19b2o169bo42b2o$12bobo19bobo167b2o13b2o26bobo$14bo189bobo13b2o27bo$
219bo16$213bo15bo$212bo15bo26bo$16bo195b3o13b3o23bo$15bo238b3o71b2o$
15b3o215bo24b3o66bobo$232b2o24bo70bo$232bobo24bo$210b2o$209bobo$211bo
4$8b2o$9b2o$8bo18$12bo207bo$11bo207bo$11b3o205b3o6$14b3o$14bo203bo$15b
o201b2o$217bobo17$22bo$21bo$21b3o$252bo$251bo$251b3o6$13b2o239bo$12bob
o238b2o$14bo238bobo16$14bo$13bo$13b3o264bo$279bo$279b3o4$12bo$11b2o
266b3o$11bobo265bo$280bo21$10bo16bo237bo$9bo16bo237bo$9b3o14b3o235b3o
5$265b3o$265bo$28bo237bo$5b2o20b2o$6b2o19bobo$5bo21$33bo239bo$32bo239b
o$32b3o237b3o6$32b3o$32bo$33bo$263b2o$262bobo$264bo14$67bo13bo$66bo13b
o$66b3o11b3o8$62b2o21b2o195bo$62bobo20bobo193bo$62bo22bo195b3o7$279bo$
278b2o$278bobo7$24bo$23bo$bo21b3o34bo$o58bo$3o56b3o5$2b3o$2bo24b2o17b
3o$3bo23bobo18bo$27bo19bo!

[confocaloid]

A family of quadrilateral p1 orthogonal c/1 spaceships, two-state isotropic CA defined using a weighted neighbourhood:

Code: Select all

#C Neighbour weights (in hexadecimal):
#C 01 75 75 75 75 75 01
#C 75 01 75 01 75 01 75
#C 75 75 0D 0D 0D 75 75
#C 75 01 0D -- 0D 01 75
#C 75 75 0D 0D 0D 75 75
#C 75 01 75 01 75 01 75
#C 01 75 75 75 75 75 01
x = 70, y = 46, rule = R3,C0,S26-51,143-168,260-285,377-402,494-519,611-636,728-753,845-870,872,901,962-987,1079-1104,1196-1221,1227,1241,1280,1313-1338,1370,1430-1455,1475,1547-1572,1593,1603,1618-1619,1633,1664-1689,1710-1711,1736,1750,1781-1806,1839,1852,1898-1923,1970,2015-2040,2073,2088,2101,2132-2157,2204-2205,2218-2219,2249-2274,2336,2366-2391,2452-2454,2483-2508,2570-2571,2600-2625,2688,2717-2742,2804-2805,2834-2859,2921-2922,2951-2976,3040,3068-3093,3156-3157,3185-3210,3274,3302-3327,3390-3392,B39-51,156-168,273-285,390-402,507-519,624-636,741-753,833,858-870,975-987,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,2496-2508,2613-2625,2730-2742,2847-2859,2964-2976,3081-3093,3198-3210,3315-3327,NW017575757575017501750175017575750D0D0D757575010D000D017575750D0D0D75757501750175017501757575757501
36b3o$36bobo$36bobo17$14b2o$12b5o23b2o$10b8o20b5o20b2o$8b11o17b8o17b5o
$6b14o14b11o14b8o$4b17o11b14o11b11o$2b20o8b17o8b14o$23o5b20o5b17o$2b
20o8b17o8b14o$4b17o11b14o11b11o$6b14o14b11o14b8o$8b11o17b8o17b5o$10b8o
20b5o20b2o$12b5o23b2o$14b2o8$5b2o19bo$3bo4bo15bo3bo16bo2bo$9bo19bo19bo
18bo$3bo5bo14bo4bo15bo3bo19bo$4b6o15b5o16b4o17b3o!

Another example of the same idea, here the spaceships move in the other direction:

Code: Select all

#C Two-state isotropic cellular automaton, defined using a weighted neighbourhood
#C Neighbour weights (in hexadecimal):
#C 75 75 01 01 01 75 75
#C 75 -- -- 75 -- -- 75
#C 01 -- 0D 0D 0D -- 01
#C 01 75 0D -- 0D 75 01
#C 01 -- 0D 0D 0D -- 01
#C 75 -- -- 75 -- -- 75
#C 75 75 01 01 01 75 75
x = 70, y = 46, rule = R3,C0,S26-51,133,143-168,260-285,377-402,406,494-519,549,611-626,628-636,640,728-753,785,810,845-870,874,877,900,916,962-987,994,1020,1032-1033,1079-1104,1138,1149,1165,1196-1221,1267-1268,1278-1279,1281-1282,1284-1286,1313-1338,1384,1399,1401,1430-1455,1516,1518,1520,1547-1572,1633,1635-1637,1664-1689,1754,1781-1806,1871,1898-1923,1988,B39-51,133,156-168,273-285,390-402,406,507-519,624-626,628-636,741-744,748-753,760,858-863,865-870,975-987,992,994,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,NW757501010175757500007500007501000D0D0D000101750D000D750101000D0D0D00017500007500007575750101017575
36b3o$36bobo$36bobo17$54b2o$28b2o23b5o$5b2o20b5o20b8o$4b5o17b8o17b11o$
3b8o14b11o14b14o$2b11o11b14o11b17o$b14o8b17o8b20o$17o5b20o5b23o$b14o8b
17o8b20o$2b11o11b14o11b17o$3b8o14b11o14b14o$4b5o17b8o17b11o$5b2o20b5o
20b8o$28b2o23b5o$54b2o8$5b2o19bo$3bo4bo15bo3bo16bo2bo$9bo19bo19bo18bo$
3bo5bo14bo4bo15bo3bo19bo$4b6o15b5o16b4o17b3o!

[Yoel]

Every object or set of objects has its rulespace ranging from the minimal number of isotropic transitions that enable its exact behavior to the maximum. These two rules can be viewed as "signatures" of the given object. For example, Nikro has been recently apgsearching a rule that contains the following (2,6c)/14 camelship:

Code: Select all

x = 22, y = 16, rule = B2en3aei5ac6aci7c8/S2-i3-k4c6a7c
7$10b3o$11b2o$9bob2o$9b3o!

Apgsearch automatically determines this object's rulespace. The lower (or should we call it "natural"?) "signature" of it is B2en3aei5ac6aci7c8/S2-i3-k4c6a7c. This precise combination of transitions allows this ship to exist. It is a very interesting rule abundant with semi-natural guns:

Code: Select all

x = 61, y = 55, rule = B2en3aei5ac6aci7c8/S2-i3-k4c6a7c
8$31b2ob2o$31b2ob2o3$27bob2o5b2obo$26bo2b2o5b2o2bo3$5b2o19b2o3b2ob2o3b
2o$5b2o19b2o2bo5bo2b2o$31b5o$13b3o17bo$13b2o$13b2obo30b2o2bo$14b3o30b
2o3bo$33b2o$28b3o2b2o16b2o$28b3o2bo17b2o$28b2o6bo13bo4b2o$29b5o2bo5b2o
5b2o4b2o$37bo4bo5b3o$8bobo31b2o5b2o4b2o$8bobo39bo4b2o$9bo41b2o$51b2o$
38bo$36b5o6b2o3bo$31b2o2bo5bo2b2ob2o2bo$9b2o20b2o3b2ob2o3b2o$9b2o2$31b
o2b2o5b2o2bo$32bob2o5b2obo3$36b2ob2o$36b2ob2o!

[...] "natural" (is there a better term?) [...]

A better term for what? It is unclear what you want to communicate.

[confocaloid]

Unfortunately that doesn't seem to answer the question.

As far as I know, apgsearch doesn't determine the rulespaces, it just does search in whatever CA it was compiled for.
I don't understand what is the intended meaning of "signature" in this case, it doesn't seem to be a defined term.
I don't understand how the idea of CA-related objects being "natural" connects to whatever is the intended meaning in this case either.
All very confusing.

[...] Apgsearch automatically determines this object's rulespace. The lower (or should we call it "natural"?) "signature" of it is B2en3aei5ac6aci7c8/S2-i3-k4c6a7c. [...]

[...] "natural" (is there a better term?) [...]

A better term for what? It is unclear what you want to communicate.

[Yoel]

Of course it does, only for regular 2-state isotropic rules though. Not apgsearch as a client, but the Catagolue server:



The minimal set of transitions determines what transitions cause the object's behavior. For example, it is B3aijn/S2ae3jnr for a glider. If you follow the glider's movement, you'll see that these exact birth and survival conditions fully determine its behavior. In a way, it's the glider's "signature" that tells very much about it, how it evolves and why it moves diagonally across the board.

Simpler examples: B/S3a for a block and B3i/S2i for a blinker. By reading these lines, one can even guess the shape of these objects and their evolution.

Unfortunately that doesn't seem to answer the question.

As far as I know, apgsearch doesn't determine the rulespaces, it just does search in whatever CA it was compiled for.
I don't understand what is the intended meaning of "signature" in this case, it doesn't seem to be a defined term.
I don't understand how the idea of CA-related objects being "natural" connects to whatever is the intended meaning in this case either.
All very confusing.

[...] Apgsearch automatically determines this object's rulespace. The lower (or should we call it "natural"?) "signature" of it is B2en3aei5ac6aci7c8/S2-i3-k4c6a7c. [...]

A better term for what? It is unclear what you want to communicate.

[confocaloid]

[...] Apgsearch automatically determines this object's rulespace. [...]

[...] As far as I know, apgsearch doesn't determine the rulespaces, it just does search in whatever CA it was compiled for. [...]

Of course it does, only for regular 2-state isotropic rules though. Not apgsearch as a client, but the Catagolue server: [...]

That looks more like "of course it doesn't", Catagolue /= apgsearch. apgsearch is a soup search program and doesn't currently calculate subspaces of objects AFAIK.

[...] B3aijn/S2ae3jnr for a glider. If you follow the glider's movement, you'll see that these exact birth and survival conditions fully determine its behavior. In a way, it's the glider's "signature" that tells very much about it, how it evolves and why it moves diagonally across the board.

Simpler examples: B/S3a for a block and B3i/S2i for a blinker. By reading these lines, one can even guess the shape of these objects and their evolution.
[...]

Beyond such simple examples, it would be typically impossible to "guess the shape".

A single rulestring (such as "B3aijn/S2ae3jnr for a glider") only tells
- what are the necessary birth conditions (B3a, B3i, B3j, B3n in this case)
- and what are the necessary survival conditions (S2a, S2e, S3j, S3n, S3r in this case).
A single rulestring like that doesn't really tell the entire subspace where the glider can be found.

It tells very little about the glider. It doesn't tell the shape of the glider, there can be other evolutionary sequences with the same set of necessary birth/survival conditions. It doesn't tell which birth/survival conditions are optional and which are forbidden.

I would rather not call that "the" "signature". It is merely the necessary living conditions, and by itself not too interesting.

To tell the subspace of the glider, one needs to provide more information: for example tell the optional birth conditions and the optional survival conditions (those which can be added without changing evolutionary sequence), or alternatively tell the forbidden birth conditions and the forbidden survival conditions (those which cannot be added without changing evolutionary sequence).

(Indeed, one can provide useful redundancy and tell all of them:

• necessary birth conditions (for the glider, those can be written as B3aijn)
• necessary survival conditions (for the glider, those can be written as S2ae3jnr)
• optional birth conditions (for the glider, those can be written as B2ikn3cekqry4aceijknqtwyz5aceijkqry6aceikn7ce8)
• optional survival conditions (for the glider, those can be written as S02cikn3aceikqy4aceijnqrtwyz5aceijknqry6aceikn7ce8)
• forbidden birth conditions (for the glider, those can be written as B01ce2ace4r5n)
• forbidden survival conditions (for the glider, those can be written as S1ce4k)

Computers and people work in different ways. Computers are better at things like "deriving forbidden living conditions from the rest" or "deriving optional living conditions from the rest".)

As for the claim about those rulestrings being "natural", I think that's misleading as well. Arguably it would be more natural to look at birth conditions and death conditions (those that are necessary for a given evolutionary sequence; those that are optional and can be added/removed; those that are forbidden and must be absent in the CA definition).

Alternatively, write down explicit rules that prescribe state changes (birth rules / "B", death rules / "D") and are necessary for the evolutionary sequence in question, then write down the implied rules that prescribe "stay as is unchanged" (nonbirth rules / "A", survival rules / "S") and are necessary for the evolutionary sequence in question, and then all remaining rules are optional. RuleLoader ruletables work that way by default (unless you override that by a "catch-all" death rule added at the end).

[Yoel]

As for the claim about those rulestrings being "natural", I think that's misleading as well. Arguably it would be more natural to look at birth conditions and death conditions (those that are necessary for a given evolutionary sequence; those that are optional and can be added/removed; those that are forbidden and must be absent in the CA definition).

Alternatively, write down explicit rules that prescribe state changes (birth rules / "B", death rules / "D") and are necessary for the evolutionary sequence in question, then write down the implied rules that prescribe "stay as is unchanged" (nonbirth rules / "A", survival rules / "S") and are necessary for the evolutionary sequence in question, and then all remaining rules are optional. RuleLoader ruletables work that way by default (unless you override that by a "catch-all" death rule added at the end).

I don't mean Hensel notation in particular. To me it is one of many possible ways to describe the birth and death conditions. Necessary, optional and forbidden, as I said, require two rulestrings, the lower and the upper edge of the rulespace. I read rulestrings exactly as explicit rules that prescribe state changes. I rewrite them manually as RuleLoader ruletables all the time in order to tweak and add things impossible within the regular 2-state isotropic rulespace.

[confocaloid]

A working p23 oscillator and a failed p168 oscillator, in a two-state isotropic cellular automaton defined using a weighted neighbourhood:

Code: Select all

#C The neighbourhood is a subset of "range-2 Moore", with the following weights (in hexadecimal):
#C -- 7D 01 7D --
#C 7D 05 19 05 7D
#C 01 19 -- 19 01
#C 7D 05 19 05 7D
#C -- 7D 01 7D --
#C
#C [[ GRID THEME MCell ]]
x = 74, y = 23, rule = R2,C0,S10-19,30-39,50-59,75-79,135-144,155-164,175-184,200-204,260-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,510-519,530-539,550-559,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,B15-19,35-39,55-59,75-79,140-144,160-164,180-184,200-204,265-269,285-289,305-309,315,325-329,390-394,410-414,430-434,440-441,450-454,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,NW007D017D007D0519057D01190019017D0519057D007D017D00
7bo7bo$6bobo5bobo2$10bobo$6bobo5bobo$7bo2bobo2bo$bo2bo3bobobobo3bo2bo$
o4bo3bo3bo3bo4bo$bo2bobo9bobo2bo$7bo7bo$3bob2o9b2obo2$3bob2o9b2obo$7bo
7bo$bo2bobo9bobo2bo$o4bo3bo3bo3bo4bo49b2o$bo2bo3bobobobo3bo2bo49b2o$7b
o2bobo2bo56b2o$6bobo5bobo56bo$10bobo2$6bobo5bobo$7bo7bo!

p19 oscillator, p15 oscillator (pentadecathlon), orthogonal 3c/16 spaceship, diagonal c/4 spaceship (glider) and curiosities from common evolutionary sequences, in another two-state isotropic cellular automaton defined using a weighted neighbourhood:

Code: Select all

#C The neighbourhood is a subset of "range-3 Moore", with the following weights (in hexadecimal):
#C -- -- 01 -- 01 -- --
#C -- -- -- 01 -- -- --
#C 01 -- 41 0D 41 -- 01
#C -- 01 0D -- 0D 01 --
#C 01 -- 41 0D 41 -- 01
#C -- -- -- 01 -- -- --
#C -- -- 01 -- 01 -- --
#C
#C [[ GRID THEME MCell ]]
x = 64, y = 46, rule = R3,C0,S26-51,78-103,130-155,191,195-207,222,243,B39-51,56,91-103,143-155,170-174,185,195-207,214,221,224-226,NW00000100010000000000010000000100410D41000100010D000D01000100410D4100010000000100000000000100010000
14b2o$14b2o$14b2o$8b3o49b3o$8b2o49bo3bo$8bo9b3o19bo$18b3o19bo18b2ob2o$
39bobo$40bo$5b3o32bo$5b3o9bo22bo$16b2o22bo$15b3o21bobo$10b2o28bo$10b2o
28bo$10b2o49bo$62bo$60b3o24$b3o$b3o$o3bo36b6o$b3o$b3o!

[LuveelVoom]

A working p23 oscillator and a failed p168 oscillator, in a two-state isotropic cellular automaton defined using a weighted neighbourhood:

Code: Select all

#C The neighbourhood is a subset of "range-2 Moore", with the following weights (in hexadecimal):
#C -- 7D 01 7D --
#C 7D 05 19 05 7D
#C 01 19 -- 19 01
#C 7D 05 19 05 7D
#C -- 7D 01 7D --
#C
#C [[ GRID THEME MCell ]]
x = 74, y = 23, rule = R2,C0,S10-19,30-39,50-59,75-79,135-144,155-164,175-184,200-204,260-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,510-519,530-539,550-559,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,B15-19,35-39,55-59,75-79,140-144,160-164,180-184,200-204,265-269,285-289,305-309,315,325-329,390-394,410-414,430-434,440-441,450-454,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,NW007D017D007D0519057D01190019017D0519057D007D017D00
7bo7bo$6bobo5bobo2$10bobo$6bobo5bobo$7bo2bobo2bo$bo2bo3bobobobo3bo2bo$
o4bo3bo3bo3bo4bo$bo2bobo9bobo2bo$7bo7bo$3bob2o9b2obo2$3bob2o9b2obo$7bo
7bo$bo2bobo9bobo2bo$o4bo3bo3bo3bo4bo49b2o$bo2bo3bobobobo3bo2bo49b2o$7b
o2bobo2bo56b2o$6bobo5bobo56bo$10bobo2$6bobo5bobo$7bo7bo!

Actually, the rule has a succeeded p168:

Code: Select all

#C The neighbourhood is a subset of "range-2 Moore", with the following weights (in hexadecimal):
#C -- 7D 01 7D --
#C 7D 05 19 05 7D
#C 01 19 -- 19 01
#C 7D 05 19 05 7D
#C -- 7D 01 7D --
#C
#C [[ GRID THEME MCell ]]
x = 26, y = 16, rule = R2,C2,S10-19,30-39,50-59,75-79,135-144,155-164,175-184,200-204,260-269,280-289,300-309,325-329,385-394,405-414,425-434,450-454,510-519,530-539,550-559,575-579,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,B15-19,35-39,55-59,75-79,140-144,160-164,180-184,200-204,265-269,285-289,305-309,315,325-329,390-394,410-414,430-434,440-441,450-454,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,NW007d017d007d0519057d01190019017d0519057d007d017d00
3$20b2o$20bobo$3bo10b3o6bo$b4o11b2obo3bo$6o8b2o4bo2bo$2o3b2o9b2o4b2o$
5b3o6b3obo2b2o$2b3obo$2b4o$3b2o!

[DivusIulius]

Silly, period-220, 2-cell gun in LifeInvestigator rule. Probably already known.

Code: Select all

[M2] (golly 4.3)
#R LifeInvestigator
1 0 0 8 0
2 1 0 0 0
3 0 0 0 2
4 0 3 0 0
5 0 0 4 0
1 0 8 0 0
2 0 6 0 0
3 0 7 0 0
4 0 0 0 8
5 0 9 0 0
6 5 0 10 0

[hth3]

Welcome back after 9 years!
Also, I can't run your pattern. Can you provide RLE so I can run it in LifeViewer?

[Nikro]

Apgsearch automatically determines this object's rulespace. The lower (or should we call it "natural"?) "signature" of it is B2en3aei5ac6aci7c8/S2-i3-k4c6a7c. This precise combination of transitions allows this ship to exist. It is a very interesting rule abundant with semi-natural guns:

Code: Select all

x = 61, y = 55, rule = B2en3aei5ac6aci7c8/S2-i3-k4c6a7c
8$31b2ob2o$31b2ob2o3$27bob2o5b2obo$26bo2b2o5b2o2bo3$5b2o19b2o3b2ob2o3b
2o$5b2o19b2o2bo5bo2b2o$31b5o$13b3o17bo$13b2o$13b2obo30b2o2bo$14b3o30b
2o3bo$33b2o$28b3o2b2o16b2o$28b3o2bo17b2o$28b2o6bo13bo4b2o$29b5o2bo5b2o
5b2o4b2o$37bo4bo5b3o$8bobo31b2o5b2o4b2o$8bobo39bo4b2o$9bo41b2o$51b2o$
38bo$36b5o6b2o3bo$31b2o2bo5bo2b2ob2o2bo$9b2o20b2o3b2ob2o3b2o$9b2o2$31b
o2b2o5b2o2bo$32bob2o5b2obo3$36b2ob2o$36b2ob2o!

Trivial reduction:

Code: Select all

x = 52, y = 37, rule = B2en3aei5ac6aci7c8/S2-i3-k4c6a7c
26b2ob2o$26b2ob2o3$24b2o5b2o$24b2o5b2o3$2o19b2o3b2ob2o3b2o$2o19b2o2bo
5bo2b2o$26b5o$8b3o17bo$8b2o$8b2obo30b2o$9b3o30b2o$28b2o$23b3o2b2o16b2o
$23b3o2bo17b2o$23b2o6bo13bo4b2o$24b5o2bo5b2o5b2o4b2o$32bo4bo5b3o$3bob
o31b2o5b2o4b2o$3bobo39bo4b2o$4bo41b2o$46b2o$33bo$31b5o6b2o$26b2o2bo5b
o2b2ob2o$4b2o20b2o3b2ob2o3b2o$4b2o2$29b2o5b2o$29b2o5b2o3$31b2ob2o$31b
2ob2o!

[DivusIulius]

Welcome back after 9 years!
Also, I can't run your pattern. Can you provide RLE so I can run it in LifeViewer?

Sorry, my fault.. I posted an .mc file.

Code: Select all

#CXRLE Pos=-20,-10
x = 20, y = 20, rule = LifeInvestigator
H19$19.H!

[DivusIulius]

Welcome back after 9 years!

Wow, it feels surreal to be back after nearly a decade! I'm delighted to see this is still the same community I knew, just with some impressive upgrades along the way. It's like reuniting with an old friend who's somehow gotten even better with age.

[confocaloid]

Silly, period-220, 2-cell gun in LifeInvestigator rule. Probably already known. [...]

Note that the traditional name of that CA is "StateInvestigator", which is also how you can find out much more about it:
search.php?keywords=StateInvestigator

See also the forum thread:
viewtopic.php?f=11&t=6799 "[R]Investigator (reactions, patterns, discussion)"

Code: Select all

x = 20, y = 20, rule = StateInvestigator
H19$19.H!

[DivusIulius]

Another silly 4-cell gun precursor in rule StateInvestigator.

Code: Select all

#CXRLE Pos=10,0
x = 25, y = 25, rule = LifeInvestigator
H23.H24$H23.H!

[DivusIulius]

Thanks!

Note that the traditional name of that CA is "StateInvestigator"

[confocaloid]

Additionally, please read the forum rules: viewtopic.php?f=3&t=2092 In particular (3a, 3d, 4) in most cases editing the last post is better than posting multiple consecutive posts, and single-line replies are discouraged (especially when the reply doesn't add new knowledge or understanding).

[Katrina]

Binary ruler in B2ce/S1

Code: Select all

x = 91, y = 117, rule = B2ce/S1
33bo23bo$32bobo21bobo$32bobo21bobo$33bo23bo5$28bo9bo13bo9bo$27bo4b3o4b
o11bo4b3o4bo$28bo3bobo3bo13bo3bobo3bo$33bo23bo2$34bo3bo13bo3bo$33bo5bo
11bo5bo$38bo13bo$23bo10bo21bo10bo$22bobo41bobo$18bo5bo41bo5bo$17bo7bo
39bo7bo$18bo5bo41bo5bo$17bo4bobo41bobo4bo$18bo4bo43bo4bo$18bo53bo5$18b
o53bo2$18bo53bo7$27bo35bo$6bo11bo6bobo8bo17bo8bobo6bo11bo$5bobo27bobo
15bobo27bobo$5bobo10bo16bobo15bobo16bo10bobo$6bo29bo17bo29bo5$bo9bo19b
o9bo7bo9bo19bo9bo$o4b3o4bo17bo4b3o4bo5bo4b3o4bo17bo4b3o4bo$bo3bobo3bo
6bo12bo3bobo3bo7bo3bobo3bo12bo6bo3bobo3bo$6bo29bo17bo29bo$18bo53bo$bo
3bo31bo3bo7bo3bo31bo3bo$o5bo29bo5bo5bo5bo29bo5bo$bo39bo7bo39bo$5bo20bo
10bo15bo10bo20bo$25bobo35bobo$16b2o3bo5bo35bo5bo3b2o$20bo7bo33bo7bo$
21bo5bo35bo5bo$25bobo35bobo$21bo4bo37bo4bo2$21bo47bo8$23bo43bo$21b2o
45b2o15$29bo31bo$27b2o33b2o15$35bo19bo$33b2o21b2o10$45bo$44bobo$44bobo
$45bo!

[confocaloid]

Switch engine variant + the rotating p424 glider gun from B38/S23,

Code: Select all

x = 149, y = 27, rule = R3,C0,S210-419,631,B315-419,851,857,NW00050505050500050000010000050500696969000505016900690105050069696900050500000100000500050505050500
o2bo$5bo$o3bob2o$o3bo62b2o11bo15b2o$ob2o63b2o12b2o15bo13bo4bo$obo62b2o
12b2o14bo14b2ob4ob2o27b2o$65b2o14bo14b2o14bo4bo28b3o$143bobob2o$144b2o
14$50b2o19bo$48bo4bo15bo3bo16bo2bo$54bo19bo19bo28bo$48bo5bo14bo4bo15bo
3bo29bo$49b6o15b5o16b4o27b3o!

in a two-state isotropic cellular automaton defined using the following fully-symmetric weighted neighbourhood (the weights are given in hexadecimal, '69' means 105):

Code: Select all

NW00050505050500050000010000050500696969000505016900690105050069696900050500000100000500050505050500
-- 05 05 05 05 05 --
05 -- -- 01 -- -- 05
05 -- 69 69 69 -- 05
05 01 69 -- 69 01 05
05 -- 69 69 69 -- 05
05 -- -- 01 -- -- 05
-- 05 05 05 05 05 --

[WhiteHawk]

First p13 in a Snark64 rule toxic to standard Eater 2s

Code: Select all

x = 34, y = 20, rule = B34c/S234cz5e
$2b2o9bo$3bo9b3o$3b2o11bo$6b2o7b2o$b5obo3b2o$o11bo6bo$b3ob2o4bo7b3ob2o
3b2o$3bobo5b2o5bo3bo2bo2b2o$19b3obobo$9bo14bo$8bobob3o$4b2o2bo2bo3bo5b
2o5bobo$4b2o3b2ob3o7bo4b2ob3o$14bo6bo11bo$21b2o3bob5o$17b2o7b2o$17bo11b
2o$18b3o9bo$20bo9b2o!

EDIT: It functions all the way from zlife to the maximum transition rule for Snark64's alien variant (with slightly different behavior depending on if S4c is added)!

Code: Select all

x = 34, y = 19, rule = B34c8/S234cz5e6e8
2b2o9bo$3bo9b3o$3b2o11bo$6b2o7b2o$b5obo3b2o$o11bo6bo$b3ob2o4bo7b3ob2o
3b2o$3bobo5b2o5bo3bo2bo2b2o$19b3obobo$9bo14bo$8bobob3o$4b2o2bo2bo3bo5b
2o5bobo$4b2o3b2ob3o7bo4b2ob3o$14bo6bo11bo$21b2o3bob5o$17b2o7b2o$17bo11b
2o$18b3o9bo$20bo9b2o!

According to my tabulations, this means there is now a p13 oscillator for all Isotropic Non-totalistic rules - EDIT2: sigh within range1 standard moore neighborhood on a 2d square grid - that contain Snarks, Snark64, Herschel Conduits, or the Scorbie Splitter-based reflector (and thereby have a complete infinite set of oscillators above a certain period)

That claim cannot possibly be correct, as stated.

"All isotropic non-totalistic" is way too wide. There are infinitely many isotropic non-totalistic CA. Finitely many are supported in Golly/LifeViewer, but very very many. And very many of those isotropic non-totalistic cellular automata support the Snark, the Snark64, some Herschel conduits, and/or the Scorbie Splitter.

Satisfied?