Small Triakis Octahedral Graph

Author

Eric W. Weisstein
April 30, 2021

This notebook downloaded from http://mathworld.wolfram.com/notebooks/GraphTheory/SmallTriakisOctahedralGraph.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/SmallTriakisOctahedralGraph.html.

©2021 Wolfram Research, Inc. except for portions noted otherwise

Graph

All

GraphData["SmallTriakisOctahedralGraph","Graph","All"]//StyleGraphs

Degenerate

GraphData["SmallTriakisOctahedralGraph","Graph","Degenerate"]//StyleGraphs

LCF

GraphData["SmallTriakisOctahedralGraph","Graph","LCF"]//StyleGraphs

MinimalCrossing

GraphData["SmallTriakisOctahedralGraph","Graph","MinimalCrossing"]//StyleGraphs

Perspective

GraphData["SmallTriakisOctahedralGraph","Graph","Perspective"]//StyleGraphs

Planar

GraphData["SmallTriakisOctahedralGraph","Graph","Planar"]//StyleGraphs

UnitDistance

GraphData["SmallTriakisOctahedralGraph","UnitDistance"]

GraphData["SmallTriakisOctahedralGraph","Graph","UnitDistance"]//StyleGraphs

3-D

GraphData["SmallTriakisOctahedralGraph","Graph","3D"]//StyleGraphs

Embeddings

GraphDataEmbeddings[GraphData["SmallTriakisOctahedralGraph","EdgeList"]]

Perspective projections

PolyhedronProjectionGraph[PolyhedronData["SmallTriakisOctahedron","Polyhedron"],#,"Simplification"->FullSimplify]&/@{{1,0,1},{0,0,1},{1,1,2 (1+(Sqrt[2])),π/4},{1,1,1}}

GraphData["SmallTriakisOctahedralGraph","Graph","Perspective"]

Properties

Classes

GraphData[g,"Classes"]

Matrices

GraphicsRow[GraphMatrixPlot[GraphData["SmallTriakisOctahedralGraph"]]]

Properties

GraphData[g,"Missing"]

GraphData[g,{"V","M"}]

TableForm[GraphDataTable[g,x],TableDepth->2]//TraditionalForm

Embeddings by Projection

PolyhedronData[poly]

Degenerate

GraphPlot[SkeletonGraph[PolyhedronData[poly,"Faces"]//Normal,#],Method->None]&/@{1.9,2.7,3,3.5,5,6}

rs=RecognizeGraph/@(gs=ToCombinatoricaGraph/@{,})

ToCommonEdges[#,rs[[1]]]&/@gs

GraphData

GraphClasses

GraphClassString[g]