SmallRhombicuboctahedronGraph - Maple Help
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GraphTheory[SpecialGraphs]

 SmallRhombicuboctahedronGraph
 construct small rhombicuboctahedron graph
 SnubCubeGraph
 construct snub cube graph
 TruncatedCubeGraph
 construct truncated cube graph
 TruncatedOctahedronGraph
 construct truncated octahedron graph

 Calling Sequence SmallRhombicuboctahedronGraph() SmallRhombicuboctahedronGraph(V) SnubCubeGraph() SnubCubeGraph(V) TruncatedCubeGraph() TruncatedCubeGraph(V) TruncatedOctahedronGraph() TruncatedOctahedronGraph(V)

Parameters

 V - set or list of size 24 (optional)

Description

 • SmallRhombicuboctahedronGraph() creates the small rhombicuboctahedron graph on 24 vertices. This is an Eulerian graph and has 48 edges.
 • SnubCubeGraph() creates the snub cube graph on 24 vertices. This graph has 60 edges.
 • TruncatedCubeGraph() creates the truncated cube graph on 24 vertices. This graph has 36 edges.
 • TruncatedOctahedronGraph() creates the truncated octahedron graph on 24 vertices. This graph has 36 edges.
 • All of these are Archimedean graphs.
 • You can optionally input the labels of the vertices as a list for any of the above graphs.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{TC}≔\mathrm{TruncatedCubeGraph}\left(\right)$
 ${\mathrm{TC}}{≔}{\mathrm{Graph 1: an undirected graph with 24 vertices and 36 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(\mathrm{TC},'F'\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{nops}\left(F\right)$
 ${14}$ (3)
 > $\mathrm{DrawGraph}\left(\mathrm{TC},\mathrm{style}=\mathrm{spring}\right)$
 > $\mathrm{DrawGraph}\left(\mathrm{TC},\mathrm{style}=\mathrm{spring},\mathrm{dimension}=3\right)$

Compatibility

 • The GraphTheory[SpecialGraphs][SmallRhombicuboctahedronGraph], GraphTheory[SpecialGraphs][SnubCubeGraph], GraphTheory[SpecialGraphs][TruncatedCubeGraph] and GraphTheory[SpecialGraphs][TruncatedOctahedronGraph] commands were introduced in Maple 2024.
 • For more information on Maple 2024 changes, see Updates in Maple 2024.

 See Also