SmallRhombicosidodecahedronGraph - Maple Help
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GraphTheory[SpecialGraphs]

 SmallRhombicosidodecahedronGraph
 construct small rhombicosidodecahedron graph
 SnubDodecahedronGraph
 construct snub dodecahedron graph
 TruncatedDodecahedronGraph
 construct truncated dodecahedron graph
 TruncatedIcosahedronGraph
 construct truncated icosahedron graph
 SoccerBallGraph
 construct soccer ball graph

 Calling Sequence SoccerBallGraph() SoccerBallGraph(V) TruncatedIcosahedronGraph() TruncatedIcosahedronGraph(V) SmallRhombicosidodecahedronGraph() SmallRhombicosidodecahedronGraph(V) SnubDodecahedronGraph() SnubDodecahedronGraph(V) TruncatedDodecahedronGraph() TruncatedDodecahedronGraph(V)

Parameters

 V - set or list of size 60 (optional)

Description

 • SoccerBallGraph() creates the soccer ball graph on 60 vertices, also known as the truncated icosahedron graph, the buckminsterfullerene graph, or the buckyball graph. This is a planar 3-regular graph with no triangles.
 • SmallRhombicosidodecahedronGraph() creates the small rhombicosidodecahedron graph 60 vertices. This is a planar 4-regular Eulerian graph.
 • SnubDodecahedronGraph() creates the snub dodecahedron graph on 60 vertices. This is a planar 5-regular graph.
 • TruncatedDodecahedronGraph() creates the truncated dodecahedron graph on 60 vertices. This is a planar 3-regular graph.
 • 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

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{SB}≔\mathrm{SoccerBallGraph}\left(\right)$
 ${\mathrm{SB}}{≔}{\mathrm{Graph 1: an undirected graph with 60 vertices and 90 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(\mathrm{SB},'F'\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{nops}\left(F\right)$
 ${32}$ (3)
 > $\mathrm{DrawGraph}\left(\mathrm{SB},\mathrm{style}=\mathrm{spring}\right)$
 > $\mathrm{DrawGraph}\left(\mathrm{SB},\mathrm{style}=\mathrm{spring},\mathrm{dimension}=3\right)$

Compatibility

 • The GraphTheory[SpecialGraphs][SmallRhombicosidodecahedronGraph], GraphTheory[SpecialGraphs][SnubDodecahedronGraph], GraphTheory[SpecialGraphs][TruncatedDodecahedronGraph] and GraphTheory[SpecialGraphs][TruncatedIcosahedronGraph] commands were introduced in Maple 2024.
 • For more information on Maple 2024 changes, see Updates in Maple 2024.