CuboctahedronGraph - Maple Help
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GraphTheory[SpecialGraphs]

 CuboctahedronGraph
 construct cuboctahedron graph
 TruncatedTetrahedronGraph
 construct truncated tetrahedron graph

 Calling Sequence CuboctahedronGraph() CuboctahedronGraph(V) TruncatedTetrahedronGraph() TruncatedTetrahedronGraph(V)

Parameters

 V - set or list of size 12 (optional)

Description

 • CuboctahedronGraph() creates the cuboctahedron graph on 12 vertices.
 • TruncatedTetrahedronGraph() creates the truncated tetrahedron graph on 12 vertices.
 • Both of these are Archimedean graphs.
 • You can optionally input the labels of the vertices as a list for either of the above graphs.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{CG}≔\mathrm{CuboctahedronGraph}\left(\right)$
 ${\mathrm{CG}}{≔}{\mathrm{Graph 1: an undirected graph with 12 vertices and 24 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(\mathrm{CG},'F'\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{nops}\left(F\right)$
 ${14}$ (3)
 > $\mathrm{TTG}≔\mathrm{TruncatedTetrahedronGraph}\left(\right)$
 ${\mathrm{TTG}}{≔}{\mathrm{Graph 2: an undirected graph with 12 vertices and 18 edge\left(s\right)}}$ (4)
 > $\mathrm{IsPlanar}\left(\mathrm{TTG},'F'\right)$
 ${\mathrm{true}}$ (5)
 > $\mathrm{nops}\left(F\right)$
 ${8}$ (6)
 > $\mathrm{DrawGraph}\left(\mathrm{TTG},\mathrm{style}=\mathrm{spring}\right)$
 > $\mathrm{DrawGraph}\left(\mathrm{TTG},\mathrm{style}=\mathrm{spring},\mathrm{dimension}=3\right)$

Compatibility

 • The GraphTheory[SpecialGraphs][CuboctahedronGraph] and GraphTheory[SpecialGraphs][TruncatedTetrahedronGraph] commands were introduced in Maple 2024.
 • For more information on Maple 2024 changes, see Updates in Maple 2024.