Get Math Help

Home / Get Math Help

Rule 150

Rule space information

rule type | elementary cellular automaton
rule space | 2-color, range 1 (3-cell neighborhood)
number of rules | 256

Rule icon

| 1 | | 0

Rule equivalences

left-right | color | both
rule 150 | rule 150 | rule 150
(total: 3)

Boolean form

(p, q, r) ↦ p XOR q XOR r

Algebraic form

(p, q, r) ↦ (p + q + r) mod 2

Neighbor dependency

linear | linear | linear

Evolution from simple initial condition

Random initial conditions

Typical difference patterns

Properties

Rule 150 is an additive rule.

Rule 150 is left-right symmetric.

The generating function for rule 150 is 1/(1 - (x + 1/x + 1) y) (mod 2).

Rule 150 is a class 3 rule from random initial conditions.

Rule 150 is a totalistic rule, corresponding to totalistic code 10.

Finite-size state transition diagrams