Challenges

[confocaloid]

Make a metacell (in any rules, including engineered ones) that can only emulate isotropic rules (any range, any number of states).

If I understand correctly, the idea is this?

• It should be "easy" (possible via reprogramming) to configure the metacell to follow arbitrary isotropic rules, with an arbitrary symmetric neighbourhood on the square tiling. In particular, each of 2^18 Life-like CA, and each of 2^102 CA definable via Hensel notation, should be "easy" to configure.
• It should be "hard" (impossible without a substantial redesign) to have the metacell following non-isotropic rules.

[b-engine]

[*] It should be "easy" (possible via reprogramming) to configure the metacell to follow arbitrary isotropic rules, with an arbitrary symmetric neighbourhood on the square tiling. In particular, each of 2^18 Life-like CA, and each of 2^102 CA definable via Hensel notation, should be "easy" to configure.

[*] It should be "hard" (impossible without a substantial redesign) to have the metacell following non-isotropic rules.
[/list]

The metacell should be only able to emulate isotropic non-totalistic rules. I don't specify the range and number of states the metacell capable to run, but the one that emulates range-1 2 state INT rules should be easy enough (through actually harder than anisotropic metacells).

[confocaloid]

[*] It should be "easy" (possible via reprogramming) to configure the metacell to follow arbitrary isotropic rules, with an arbitrary symmetric neighbourhood on the square tiling. In particular, each of 2^18 Life-like CA, and each of 2^102 CA definable via Hensel notation, should be "easy" to configure.

[*] It should be "hard" (impossible without a substantial redesign) to have the metacell following non-isotropic rules.
[/list]

The metacell should be only able to emulate isotropic non-totalistic rules. I don't specify the range and number of states the metacell capable to run, but the one that emulates range-1 2 state INT rules should be easy enough (through actually harder than anisotropic metacells).

I think you didn't answer the question I asked.

By "isotropic non-totalistic", do you mean just "isotropic, not necessarily outer-totalistic", or rather you are expressly excluding "outer-totalistic"?

Should it be possible to emulate Life-like cellular automata "on equal footing" with other isotropic CA on the square tiling, or they should be specifically unemulatable without a significant redesign?

[b-engine]

By "isotropic non-totalistic", do you mean just "isotropic, not necessarily outer-totalistic", or rather you are expressly excluding "outer-totalistic"?

Should it be possible to emulate Life-like cellular automata "on equal footing" with other isotropic CA on the square tiling, or they should be specifically unemulatable without a significant redesign?

By isotropic non-totalistic, I always include outer-totalistic as subset unless otherwise noted. The metacell should be capable to emulate isotropic non-totalistic rules as well as outer-totalistic rules.

[confocaloid]

By isotropic non-totalistic, I always include outer-totalistic as subset unless otherwise noted.

As far as I understand, that is equivalent to just saying "isotropic", right? I think just writing "isotropic" communicates the idea better.

[islptng]

a new rule:

Code: Select all

x = 912, y = 734, rule = KnightwiseGeometry
129$258.2H55.2M$258.2H55.2M3$256.2K2.2K45.2J$256.2K2.2K45.2J3$258.FE
51.2J$258.2H51.2J3$303.FE$303.2M26$234.2H$234.2H5$228.2M10.2M$228.2M
10.2M5$228.2M10.2M$228.2M10.2M2$459.2K$459.2K$455.2J6.2J$234.FE219.2J
6.2J$234.2H2$453.2K10.2K$453.2K10.2K3$455.EF6.2J$455.2J6.2J$459.2K$
459.2K2$391.2M10.2M$391.2M10.2M$507.2H$507.2H3$391.2H10.2H100.2J2.2J$
391.2H10.2H100.2J2.2J$501.2H10.2H$501.2H10.2H15.2M14.2M$505.2J2.2J19.
2M14.2M$505.2J2.2J$379.2M4.2H4.2J4.FE4.2J4.2H4.2M$379.2M4.2H4.2J4.2H
4.2J4.2H4.2M121.2K$507.EF29.2K$507.2H2$534.EF6.2K$391.2H10.2H129.2K6.
2K$391.2H10.2H2$538.2K$538.2K2$379.2M4.2H4.2J4.2H4.2J4.2H4.2M$379.2M
4.2H4.2J4.2H4.2J4.2H4.2M113.2M14.2M$326.2M4.2H4.2M190.2M14.2M$326.2M
4.2H4.2M3$391.2H10.2H$391.2H10.2H$326.2H10.2H$326.2H10.2H$675.2M$675.
2M$391.2M10.2M$391.2M10.2M$326.2M4.FE4.2M$326.2M4.2H4.2M$687.2L10.2M$
687.2L10.2M5$675.2L4.2J4.2J$675.2L4.2J4.2J5$681.FE4.2J4.2L$681.2J4.2J
4.2L3$227.2I4.2H4.2L$227.2I4.FE4.2L$669.2M10.2L$669.2M10.2L3$227.2H
10.2H$227.2H10.2H$693.2M$693.2M3$221.2J4.2M10.2M4.2J$221.2J4.2M10.2M
4.2J3$465.2H4.2L10.2I4.2H$465.2H4.2L10.2I4.2H$209.2L4.2H4.2M22.2M4.2H
4.2I$209.2L4.2H4.2M22.2M4.2H4.2I327.2H$586.2H2$459.2H34.2H$459.2H34.
2H$209.2H46.2H$209.2H46.2H3$363.2H94.2I10.2M4.FE4.2M10.2L$363.2H94.2I
10.2M4.2H4.2M10.2L$209.2I4.2H4.2M22.2M4.2H4.2L$209.2I4.2H4.2M22.2M4.
2H4.2L321.2I10.2L$580.2I10.2L2$369.2I100.2H10.2H$369.2I100.2H10.2H$
221.2J4.2M10.2M4.2J$221.2J4.2M10.2M4.2J333.2I10.2L$580.2I10.2L2$357.
2I4.2K4.2K10.2H76.2L10.2M4.2H4.2M10.2I$357.2I4.2K4.2K10.2H76.2L10.2M
4.2H4.2M10.2I$227.2H10.2H$227.2H10.2H3$351.2H10.FE4.2K4.2I82.2H34.2H$
351.2H10.2K4.2K4.2I82.2H34.2H$227.2L4.2H4.2I$227.2L4.2H4.2I345.FE$
586.2H2$363.2I100.2H4.2I10.2L4.2H$363.2I100.2H4.2I10.2L4.2H5$369.2H$
369.2H48$416.2M$416.2M3$278.2H$278.2H$428.2J16.2M$428.2J16.2M3$272.2I
10.2L$272.2I10.2L$428.FI$428.EI3$272.2M10.2M$272.2M10.2M$416.2J4.2I
10.2I4.2J$416.2J4.2I10.2I4.2J$724.2I$724.2I$266.2J22.2J428.2I$266.2J
22.2J428.FE$428.2I296.2N$428.2I296.2N$722.2I$722.2I$254.2L4.2M34.2M4.
2I$254.2L4.2M34.2M4.2I$410.2M16.2J$410.2M16.2J3$248.2H58.2H$248.2H58.
2H$440.2M$440.2M3$254.2I4.2M34.2M4.2L$254.2I4.2M34.2M4.2L5$266.2J22.
2J$266.2J22.2J5$272.2M10.2M$272.2M10.2M5$272.2L10.2I$272.2L10.2I5$
278.FE$278.2H13$753.2S$753.2S9$743.2L$743.2L5$761.2N$761.2N$757.2I$
757.2I$763.2I$763.2I$739.2I18.QR$739.2I18.QS3$751.2N$751.2N$747.AC$
747.AB$743.2N$743.2N3$715.2I$715.2I7$719.IE$719.IF83$593.2M$593.2M3$
601.2H$601.2H$587.FI$587.EI$583.2I$583.2I$589.2N$589.2N$585.IE$585.IF
29$656.2M$656.2M3$664.2H$664.2H$650.FI$650.EI3$652.2N$652.2N3$634.2I$
634.2I3$636.2I$636.2I!

the idea is to generalize things that can be done with oblique space ships

Challenge: Resemble all knightship loops in this pattern in BasiKnight.

EDIT: Only AbhpzTa's stable reflectors can be used. No oscillating reflectors.

[b-engine]

A possible implementation: make a list with each element storing a list of x position of all on cells in the axis. If the first element contains anything, insert an empty element into the first place, pushing other elements down by 1 place. To check the amount and position of its neighbors, a cell checks if the element it's in, and elements of 1 index up and down, contains cell at position of x-1 to x+1, which x is the position of the cell itself.

Made this using a different implementation.

Warning: Extreme lag.

This CA simulator uses three lists to store informations of each cell, including X & Y position and state. By default the CA follows R1,C2,S2-3,B3 (B3/S23), but could be modified (internally) to use different rules, or even different neighbourhood.

Surprisingly this approach only uses a minimum of 15 scripts and 82 blocks.

Till now the ability to make custom patterns and viewing patterns graphically aren't implemented.

[Haycat2009]

A possible implementation: make a list with each element storing a list of x position of all on cells in the axis. If the first element contains anything, insert an empty element into the first place, pushing other elements down by 1 place. To check the amount and position of its neighbors, a cell checks if the element it's in, and elements of 1 index up and down, contains cell at position of x-1 to x+1, which x is the position of the cell itself.

Made this using a different implementation.

Warning: Extreme lag.

This CA simulator uses three lists to store informations of each cell, including X & Y position and state. By default the CA follows R1,C2,S2-3,B3 (B3/S23), but could be modified (internally) to use different rules, or even different neighbourhood.

Surprisingly this approach only uses a minimum of 15 scripts and 82 blocks.

Till now the ability to make custom patterns and viewing patterns graphically aren't implemented.

Use turbowarp!

[confocaloid]

[...] Find a Beconia rule, same as above except with beacons. except the beacon blocks get bigger. [...]

Would either of these count as relevant?

Code: Select all

x = 49, y = 29, rule = R3,C0,S26-51,143-168,260-285,342,377-402,459-460,482,494-519,535,577,611-636,728-743,745-753,770,811,845-870,887-888,962-987,1079-1104,1122,1196-1221,1313-1338,1357,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,2483-2508,2600-2625,2717-2742,2834-2859,2951-2976,3068-3093,3185-3210,3302-3327,B39-51,67,156-157,159-168,273,275-285,355,390-402,495,507-509,511-519,624-636,703,741-743,745-753,858-870,975-977,979-987,1092-1095,1097-1104,1209-1221,1326-1338,1443-1447,1449-1455,1560-1572,1677-1682,1684-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,2496-2508,2613-2625,2730-2742,2847-2859,2964-2976,3081-3093,3198-3210,3315-3327,NW017575757575017575017501757575010D0D0D017575750D000D757575010D0D0D01757575017501757501757575757501
31bo15bo$4b4o12b2o9bo16bo$7bo12b2o9bo14b3o$7bo$7bo$o$o$o$4o5$20b2o11bo
$20bobo9bobo9bo$21bo10bobo8bobo$33bo10bo9$33b2o$20b2obo8bo2bo$20bob2o
8bo2bo$33b2o!

Code: Select all

x = 49, y = 29, rule = R3,C0,S2-3,11-12,20-21,29-30,38-39,47-48,56-57,65-66,74-75,83-84,92-93,101-102,110-111,115,119-120,128-129,137-138,145-147,149-150,155-156,164-165,173-174,182-183,191-192,200-201,203,206,209-210,218-219,227-228,236-237,245-246,248,250,254-255,263-264,272-273,281-282,290-291,293,299-300,308-309,317-318,326-327,329,335-336,344-345,353-354,362-363,371-372,380-382,389-390,398-399,407-408,416-417,425-426,434-435,443-444,452-453,461-462,470-471,479-480,488-489,497-498,506-507,515-516,524-525,533-534,542-543,551-552,560-561,569-570,578-579,587-588,596-597,605-606,614-615,623-624,632-633,641-642,650-651,659-660,668-669,677-678,686-687,695-696,704-705,713-714,722-723,731-732,740-741,749-750,758-759,767-768,776-777,785-786,794-795,803-804,812-813,821-822,830-831,839-840,848-849,857-858,866-867,875-876,884-885,893-894,902-903,911-912,920-921,929-930,938-939,947-948,956-957,965-966,974-975,983-984,992-993,1001-1002,1010-1011,1019-1020,1028-1029,1037-1038,1046-1047,1055-1056,1064-1065,1073-1074,1082-1083,1091-1092,1100-1101,1109-1110,1118-1119,B3,12,21,30,39,57,66,75,84,93,95,102,111,120,129,147,156,165,174,182-183,201,203,210,219,228,246,255,264,273,291,300,309,318,335-336,345,354,363,372,381,390,399,408,426,435,444,453,462,480,489,498,507,516,525,534,543,552,561,570,579,588,597,606,615,624,633,642,651,660,669,678,687,696,705,714,723,732,741,750,759,768,777,786,795,804,813,822,831,840,849,858,867,876,885,894,903,912,921,930,939,948,957,966,975,984,993,1002,1011,1020,1029,1038,1047,1056,1065,1074,1083,1092,1101,1110,1119,NW2D002D2D2D002D00002D092D00002D2D0101012D2D2D09010001092D2D2D0101012D2D00002D092D00002D002D2D2D002D
31bo15bo$4b4o12b2o9bo16bo$7bo12b2o9bo14b3o$7bo$7bo$o$o$o$4o5$20b2o11bo
$20bobo9bobo$21bo10bobo$33bo7$2b2o$3bo$o32b2o$2o18b2obo8bo2bo10bo$20bo
b2o8bo2bo9bobo$33b2o11bo!

[b-engine]

Answering this old question:

A glider that reaches its maximum population 1 generation before its minimum

Extra point if the population goes up the entire time from min-max. Also please don't make the period lower than 4

This is a trivial implementation; the period could be extended by placing the replicator at right further from the photon:

Code: Select all

x = 27, y = 6, rule = B2ae3k/S
26bo$26bo$o$bo$bo$o!