Investigating Transformational Complexity: Counting Functions a Region Induces on Another in Elementary Cellular Automata

Table 2

Comparison of classes described above (Classes A to D, in rows) with the Wolfram classes (WC 1 to 4, in columns).

	WC 1	WC 2	WC 3	WC 4
Class A	0, 8, 32	1, 2, 3, 4, 5, 10, 12, 15, 19, 29, 34, 37, 42, 50, 51, 62, 76, 108, 132, 138, 170, 200, 204	30	41, 54, 106, 110
Class B	136, 168	7, 9, 11, 13, 14, 23, 24, 25, 28, 33, 35, 36, 38, 43, 44, 46, 58, 72, 73, 77, 78, 94, 104, 134, 140, 142, 152, 154, 156, 164, 172, 178, 184, 232	18, 22, 45, 60, 122, 126, 146	—
Class C	40, 128, 160	6, 26, 27, 56, 57, 74, 130, 162	—	—
Class D	—	—	90, 105, 150	—