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GraphTheory[SpecialGraphs][TetrahedronGraph]
GraphTheory[SpecialGraphs][OctahedronGraph]
GraphTheory[SpecialGraphs][DodecahedronGraph]
GraphTheory[SpecialGraphs][IcosahedronGraph]
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Calling Sequence
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TetrahedronGraph()
TetrahedronGraph(V1)
OctahedronGraph()
OctahedronGraph(V2)
DodecahedronGraph()
DodecahedronGraph(V3)
IcosahedronGraph()
IcosahedronGraph(V4)
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Parameters
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V1
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set or list of size 4 (optional)
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V2
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list of size 6 (optional)
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V3
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set or list of size 20 (optional)
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V4
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(optional) list of 12 vertex labels
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Description
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The TetrahedronGraph command creates the tetrahedron graph (the complete graph) on 4 vertices. As an option, you may input the labels of the vertices as a set or list of size 4.
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The OctahedronGraph command creates the octahedron graph on 6 vertices. As an option, you may input the labels of the vertices as a set or list of size 6.
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The DodecahedronGraph command creates the dodecahedron graph on 20 vertices. A dodecahedron is a 3-regular and 12-faced planar graph. As an option, you may input the labels of the vertices as a set or list of size 20.
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The IcosahedronGraph command creates the icosahedron graph on 12 vertices. An icosahedron is a 5-regular and 20-faced planar graph. As an option, you may input the labels of the vertices as a set or list of size 12.
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Examples
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![[14, 18, 20]](/support/helpjp/helpview.aspx?si=6799/file06020/math166.png)
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![[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]](/support/helpjp/helpview.aspx?si=6799/file06020/math207.png)
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Download Help Document
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