User:Azerty/Champions Zoology: Difference between revisions

Revision as of 09:44, 30 December 2025

This is a zoology of champions and what they compute.

Classification	Examples	Scale
Chaotic	`1RB1LB_1LA---` (bbch) BB(2,2) `1RB---_1LB0RC_1LC1LA` (bbch) BB(3,2) `1RB1LB_1LA0LC_---1LD_1RD0RA` (bbch) BB(4,2)	$O (n^{2})$
Multiplier	`1RB2LB---_2LA2RB1LB` (bbch) BB(2,3) `1RB1LB_1LA1LC_1RC0LC` (bbch) BBt(3,2)	$O (n^{2})$
Piecewise Affine Function	`1PB1PA1TA_2TB2PB2PC_---2PA1TC` TT(3,3)	$O (n^{3})$
Counter	`1RB------_0RC0RB1LC_1LB2RC0LB` (bbch) BBt(3,3,2) `1RB------_1RC------_0RD0RC1LD_1LC2RD0LC` (bbch) BBti(8)	$O (2^{n})$
Collatz-like	`1RB2LA1RA1RA_1LB1LA3RB---` (bbch) BB(2,4) `1RB1LC_1RC1RB_1RD0LE_1LA1LD_---0LA` (bbch) BB(5,2) `0RB2LA1RA_1LA2RB1RC_---1LB1LC` (bbch) BB(3,3)	$O (2^{n})$

@@ Line 31: / Line 31: @@
 |[[Collatz-like]]
 |
-* {{TM|1RB1RA_1RC1RE_1LD---_1LA1LD_---0RB|halt}} BBwsms(5,2)
+* {{TM|1RB2LA1RA1RA_1LB1LA3RB---|halt}} BB(2,4)
+* {{TM|1RB1LC_1RC1RB_1RD0LE_1LA1LD_---0LA|halt}} BB(5,2)
+* {{TM|0RB2LA1RA_1LA2RB1RC_---1LB1LC|halt}} BB(3,3)
 |<math>O(2^n)</math>
 |}