# dodecahedron

##### 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.

##### Examples

```
# NOT RUN {
permprod(dodecahedron_face)
# }
```

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