permutations (version 1.1-5)

orbit: Orbits of integers

Description

Finds the orbit of a given integer

Usage

orbit_single(c1,n1)
orbit(cyc,n)

Value

Given a cyclist c1 and integer n1, function

orbit_single() returns the single cycle containing integer

n1. This is a low-level function, not intended for the end-user.

Function orbit() is the vectorized equivalent of

orbit_single(). Vectorization is inherited from

cbind().

The orbit of a fixed point \(p\) is \(\left\lbrace p\right\rbrace\); the code uses an ugly hack to ensure that this is the case.

Arguments

c1,n1

In (low-level) function orbit_single(), a cyclist and an integer vector respectively

cyc,n

In (vectorized) function orbit(), cyc is coerced to a cycle, and n is an integer vector

Author

Robin K. S. Hankin

See Also

fixed

Examples

orbit(as.cycle("(123)"),1:5)
orbit(as.cycle(c("(12)","(123)(45)","(2345)")),1)
orbit(as.cycle(c("(12)","(123)(45)","(2345)")),1:3)

data(megaminx)
orbit(megaminx,13)