
{| border="1" bgcolor="#ffffff" cellpadding="5" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|Icosidodecahedron |- |align=center colspan=2|
''Click on picture for large version.''
''Click '':image:icosidodecahedron.gif'' for spinning version.'' |- |bgcolor=#e7dcc3|Type||Archimedean solid |- |bgcolor=#e7dcc3|Faces||20 triangles
12 pentagons |- |bgcolor=#e7dcc3|Edges||60 |- |bgcolor=#e7dcc3|Vertices||30 |- |bgcolor=#e7dcc3|Vertex configuration||3,5,3,5 |- |bgcolor=#e7dcc3|Symmetry group||icosahedral (''I''''h'') |- |bgcolor=#e7dcc3|Dual polyhedron||rhombic triacontahedron |- |bgcolor=#e7dcc3|Properties||convex, quasi-regular (vertex/edge uniform) |} An icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, one of the quasi-regular polyhedra. An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosahedron located at the midpoints of the edges of either. Canonical coordinates for the vertices of an icosidodecahedron are the cyclic permutations of (0,0,±τ), (±1/2, ±τ/2, ±(1+τ)/2), where τ is the Golden mean, (1+√5)/2. Its dual polyhedron is the rhombic triacontahedron. An icosidodecahedron can be split along several planes to form pentagonal rotundae, which belong among the Johnson solids. In the standard nomenclature used for the Johnson solids, an icosidodecahedron would be called a ''pentagonal gyrobirotunda''. ==See also== *cuboctahedron *dodecahedron *icosahedron *rhombicosidodecahedron *truncated icosidodecahedron ==External links== *[http://www.mathconsult.ch/showroom/unipoly/ The Uniform Polyhedra] *[http://www.georgehart.com/virtual-polyhedra/vp.html Virtual Reality Polyhedra] The Encyclopedia of Polyhedra Archimedean solids
This article would be much better with a picture. Any takers? User:Theresa knott 12:03 23 Jun 2003 (UTC) :Well, I guess I might consider the possibility of creating a picture, some time... User:Cyp 14:24 23 Jun 2003 (UTC) ::It's beutiful! User:Theresa knott 14:54 23 Jun 2003 (UTC)
See other meanings of words starting from letter:
Words begining with Icosidodecahedron:
Icosidodecahedron
Icosidodecahedron
Icosidodecahedron
{| border="1" bgcolor="#ffffff" cellpadding="5" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|Icosidodecahedron |- |align=center colspan=2|
''Click on picture for large version.''
''Click '':image:icosidodecahedron.gif'' for spinning version.'' |- |bgcolor=#e7dcc3|Type||Archimedean solid |- |bgcolor=#e7dcc3|Faces||20 triangles
12 pentagons |- |bgcolor=#e7dcc3|Edges||60 |- |bgcolor=#e7dcc3|Vertices||30 |- |bgcolor=#e7dcc3|Vertex configuration||3,5,3,5 |- |bgcolor=#e7dcc3|Symmetry group||icosahedral (''I''''h'') |- |bgcolor=#e7dcc3|Dual polyhedron||rhombic triacontahedron |- |bgcolor=#e7dcc3|Properties||convex, quasi-regular (vertex/edge uniform) |} An icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, one of the quasi-regular polyhedra. An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosahedron located at the midpoints of the edges of either. Canonical coordinates for the vertices of an icosidodecahedron are the cyclic permutations of (0,0,±τ), (±1/2, ±τ/2, ±(1+τ)/2), where τ is the Golden mean, (1+√5)/2. Its dual polyhedron is the rhombic triacontahedron. An icosidodecahedron can be split along several planes to form pentagonal rotundae, which belong among the Johnson solids. In the standard nomenclature used for the Johnson solids, an icosidodecahedron would be called a ''pentagonal gyrobirotunda''. ==See also== *cuboctahedron *dodecahedron *icosahedron *rhombicosidodecahedron *truncated icosidodecahedron ==External links== *[http://www.mathconsult.ch/showroom/unipoly/ The Uniform Polyhedra] *[http://www.georgehart.com/virtual-polyhedra/vp.html Virtual Reality Polyhedra] The Encyclopedia of Polyhedra Archimedean solids
Icosidodecahedron
This article would be much better with a picture. Any takers? User:Theresa knott 12:03 23 Jun 2003 (UTC) :Well, I guess I might consider the possibility of creating a picture, some time... User:Cyp 14:24 23 Jun 2003 (UTC) ::It's beutiful! User:Theresa knott 14:54 23 Jun 2003 (UTC)
See other meanings of words starting from letter:
I
IA | IB | IC | ID | IE | IF | IG | IH | IJ | IK | IL | IM | IN | IO | IP | IR | IS | IT | IU | IW | IX | IY | IZ |Words begining with Icosidodecahedron:
Icosidodecahedron
Icosidodecahedron
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