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Truncated icosidodecahedron
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==Names== {| | <!-- Does someone know a better way to make the image float right, but not below the infobox? --> The name ''truncated icosidodecahedron'', given originally by [[Johannes Kepler]], is misleading. An actual [[truncation (geometry)|truncation]] of an [[icosidodecahedron]] has [[rectangle]]s instead of [[square]]s. This nonuniform polyhedron is [[topologically]] equivalent to the Archimedean solid. Alternate interchangeable names are: *''Truncated icosidodecahedron'' ([[Johannes Kepler]]) *''Rhombitruncated icosidodecahedron'' ([[Magnus Wenninger]]<ref name="wenninger16" />) *''Great rhombicosidodecahedron'' ([[Robert Williams (geometer)|Robert Williams]],<ref name="williams94" /> Peter Cromwell<ref name="cromwell82" />) *''[[Omnitruncation (geometry)|Omnitruncated]] dodecahedron'' or ''icosahedron'' ([[Norman Johnson (mathematician)|Norman Johnson]]<ref name="johnson1966" />) |style="padding-left:50px;"| <!-- right table cell --> {{multiple image | align = left | width = 150 | image1 = Polyhedron 12-20 big.png | image2 = Polyhedron nonuniform truncated 12-20 big.png | footer = Icosidodecahedron and its truncation }} |} The name ''great rhombicosidodecahedron'' refers to the relationship with the (small) [[rhombicosidodecahedron]] (compare section [[#Dissection|Dissection]]).<br> There is a [[nonconvex uniform polyhedron]] with a similar name, the [[nonconvex great rhombicosidodecahedron]].
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