Platonic Graph

Author

Eric W. Weisstein
June 21, 2023

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

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

©2023 Wolfram Research, Inc. except for portions noted otherwise

Sources

Read and Wilson

Figure

GraphicsRow[Show[GraphData[#]//StyleGraphs,PlotLabel->Style[GraphData[#,"Name"],Directive[Black,Italic,FontFamily->"Times"]]]&/@SortBy[GraphData["Platonic"],GraphData[#,"F"]&],Dividers->All,ImageSize->700]

Properties

With[{
props={"Name","V","M","|Aut|","Cubic","Quartic","Quintic","EdgeTransitive","Hamiltonian","LCF","Planar","Regular","Traceable","VertexTransitive"}},
TextGrid[Prepend[GraphData[#,props]&/@GraphData["Platonic"],Thread[Style[props,Bold]]],
Alignment->{{Left,Decimal,Decimal,Decimal,{Left}}},Dividers->Table[{Thick,Thick,{True},Thick},{2}]]
]