User:I6 I6/Elementary Emulators

This is a collection of the smallest, by population-per-unit, elementary replicators in the 2-state INT rulespace which emulate an even-numbered elementary CA. Collection managed by I6_I6, but feel free to contribute any new discoveries!

Goals

• Find an emulator for all of the rules
• Find a systematic method to create emulators for any of these rules

The Collection

Only one representative (the one with the lower Wolfram number) from each pair of reflection-equivalent rules is included. Empty rows mean there are no known emulators which emulate that rule. If the discoverer and/or discovery date are unknown, it means the pattern is too simple to find its specific discovery data. The replicators should be tiled horizontally, diagonally going up, or between the two, depending on the offset.

Emulated rule (Wolfram code)	Pattern	Population	Offset	Period	Velocity	Discoverer	Discovery date
Rule 0	x = 1, y = 1, rule = B/S o!	1	(1,0)	1	Stationary	Unknown	Unknown
Rule 2	x = 2, y = 3, rule = B2ae4i/S bo$o$o!	3	(2,0)	2	Stationary	Unknown	Unknown
Rule 4	x = 1, y = 1, rule = B/S0 o!	1	(1,0)	1	Stationary	Unknown	Unknown
Rule 6
Rule 8	x = 2, y = 3, rule = B2e/S1e2ack3r bo$o$o!	3	(2,0)	2	Stationary	I6_I6	April 19, 2026
Rule 10
Rule 12	x = 2, y = 2, rule = B/S2ae3ei 2o$bo!	3	(2,0)	2	Stationary	I6_I6	April 19, 2026
Rule 14
Rule 18
Rule 22
Rule 24
Rule 26
Rule 28
Rule 30
Rule 32
Rule 34
Rule 36
Rule 38
Rule 40
Rule 42
Rule 44
Rule 46
Rule 50
Rule 54
Rule 56
Rule 58
Rule 60
Rule 62
Rule 72
Rule 74
Rule 76
Rule 78
Rule 90	x = 1, y = 2, rule = B2a/S o$o!	2	(2,0)	2	Stationary	Unknown	Unknown
Rule 94
Rule 104
Rule 106
Rule 108
Rule 110	x = 2, y = 3, rule = B2ai3aeir4r5ei/S3e5e6i o$2o$o!	4	(2,0)	2	Stationary	AforAmpere	January 2, 2021
Rule 122
Rule 126
Rule 128
Rule 130
Rule 132
Rule 134
Rule 136
Rule 138
Rule 140
Rule 142
Rule 146
Rule 150
Rule 152
Rule 154
Rule 156
Rule 158
Rule 160
Rule 162
Rule 164
Rule 166
Rule 168
Rule 170
Rule 172
Rule 174
Rule 178
Rule 182
Rule 184	x = 2, y = 3, rule = B2ai3air4c5ei/S3e bo$2o$bo!	4	(2,0)	2	Stationary	I6_I6	April 19, 2026
Rule 186
Rule 188
Rule 190
Rule 200
Rule 202
Rule 204
Rule 206
Rule 218
Rule 222
Rule 232
Rule 234
Rule 236
Rule 238	x = 2, y = 3, rule = B2ai3aeir4cr5ei/S3e5e o$2o$o!	4	(2,0)	2	Stationary	I6_I6	April 19, 2026
Rule 250
Rule 254	x = 1, y = 2, rule = B2a4i/S o$o!	2	(2,0)	2	Stationary	Unknown	Unknown