Editing Truncated icosidodecahedron (section)

== Truncated icosidodecahedral graph ==
{{Infobox graph
 | name = Truncated icosidodecahedral graph
 | image = [[File:Truncated icosidodecahedral graph.png|240px]]
 | image_caption = 5-fold symmetry
 | namesake = 
 | vertices = 120 
 | edges = 180 
 | automorphisms = 120 (A<sub>5</sub>×2)
 | radius = 15
 | diameter = 15
 | girth = 4
 | chromatic_number = 2
 | chromatic_index = 
 | fractional_chromatic_index = 
 | properties = [[Cubic graph|Cubic]], [[hamiltonian graph|Hamiltonian]], [[regular graph|regular]], [[Zero-symmetric graph|zero-symmetric]]
}}
In the [[mathematics|mathematical]] field of [[graph theory]], a '''truncated icosidodecahedral graph''' (or '''great rhombicosidodecahedral graph''') is the [[1-skeleton|graph of vertices and edges]] of the truncated icosidodecahedron, one of the [[Archimedean solid]]s. It has 120 [[Vertex (graph theory)|vertices]] and 180 edges, and is a [[zero-symmetric graph|zero-symmetric]] and [[cubic graph|cubic]] [[Archimedean graph]].<ref>{{citation|last1=Read|first1=R. C.|last2=Wilson|first2=R. J.|title=An Atlas of Graphs|publisher=[[Oxford University Press]]|year= 1998|page=269}}</ref>

{| class=wikitable
|+ [[Schlegel diagram]] graphs
|- align=center
|[[File:Truncated icosidodecahedral graph-hexcenter.png|160px]]<BR>3-fold symmetry
|[[File:Truncated icosidodecahedral graph-squarecenter.png|200px]]<BR>2-fold symmetry
|}
{{Clear}}