Get Math Help

Home / Get Math Help

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

Evolution from 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