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Rule 60

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 102 | rule 195 | rule 153
(total: 3)

Boolean form

(p, q, r) ↦ p XOR q

Algebraic form

(p, q, r) ↦ (p + q) mod 2

Neighbor dependency

linear | linear | none

Evolution from simple initial condition

Random initial conditions

Typical difference patterns

Properties

Rule 60 is an additive rule.

Rule 60 essentially constructs a difference table for the sequence of elements.

The generating function for rule 60 is 1/(1 - (x + 1) y) (mod 2).

Rule 60 is a class 3 rule from random initial conditions.

Finite-size state transition diagrams