dodecahedron

0th

Percentile

The dodecahedron group

Permutations comprising the dodecahedron group on either its faces or its edges; also the full dodecahedron group

Keywords
datasets
Details

The package provides a number of objects for investigating dodecahedral groups:

Object dodecahedron_face is a cycle object with 60 elements corresponding to the permutations of the faces of a dodecahedron, numbered 1-12 as in the megaminx net. Object dodecahedron_edge is the corresponding object for permuting the edges of a dodecahedron. The edges are indexed by the lower of the two adjoining facets on the megaminx net.

Objects full_dodecahedron_face and full_dodecahedron_edge give the 120 elements of the full dodecahedron group, that is, the dodecahedron group including reflections. NB: these objects are not isomorphic to S5.

Note

File zzz_dodecahedron.R is not really intended to be human-readable. The source file is in inst/dodecahedron_group.py and inst/full_dodecahedron_group.py which contain documented python source code.

Aliases
  • dodecahedron
  • dodecahedron_face
  • dodecahedron_edge
  • full_dodecahedron_face
  • full_dodecahedron_edge
Examples
# NOT RUN {
permprod(dodecahedron_face)

# }
Documentation reproduced from package permutations, version 1.0-5, License: GPL-2

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