Template:Reg polyhedra db
{{{{{1}}}|{{{2}}}|
|T-name=Tetrahedron|T-sh=3> 2z|T-image=tetrahedron.png|T-image2=tetrahedron.jpg|T-image3=tetrahedron.gif|T-dimage=tetrahedron.png
|T-Wythoff=3 | 2 3
| 2 2 2
|T-W=1|T-U=01|T-K=06|T-C=15|T-V=4|T-E=6|T-F=4|T-Fdetail=4{3}|T-chi=2
|T-vfig=3.3.3|T-vfigimage=tetrahedron_vertfig.png|T-netimage=Tetrahedron flat.svg
|T-ffig=V3.3.3
|T-conway=T|
|T-group=Td, A3, [3,3], (*332)
|T-rotgroup=T, [3,3]+, (332)
|T-B=Tet|T-dual=Self-dual|T-dihedral=70.528779° = arccos(1⁄3)
|T-special=deltahedron|T-schl={3,3}|T-schl2=h{4,3}, s{2,4}, sr{2,2}
|T-CD= =
|O-name=Octahedron|O-sh=4<> 3z|O-image=Octahedron.png|O-image2=octahedron.jpg|O-image3=octahedron.gif|O-dimage=hexahedron.png
|O-Wythoff=4 | 2 3
|O-W=2|O-U=05|O-K=10|O-C=17|O-V=6|O-E=12|O-F=8|O-Fdetail=8{3}|O-chi=2
|O-vfig=3.3.3.3|O-vfigimage=octahedron_vertfig.svg|O-netimage=Octahedron flat.svg
|O-ffig=V4.4.4
|O-conway=O
aT|
|O-group=Oh, BC3, [4,3], (*432)
|O-rotgroup=O, [4,3]+, (432)
|O-B=Oct|O-dual=Cube|O-dihedral=109.47122° = arccos(−1⁄3)
|O-special=deltahedron, Hanner polytope
|O-schl={3,4}|O-schl2=r{3,3} or
{}+{}+{}=3{}
|O-CD=
|C-name=Hexahedron|C-sh=4=|C-image=hexahedron.png|C-image2=hexahedron.jpg|C-image3=hexahedron.gif|C-dimage=Octahedron.png
|C-altname=(Hexahedron)
|C-Wythoff=3 | 2 4
|C-W=3|C-U=06|C-K=11|C-C=18|C-V=8|C-E=12|C-F=6|C-Fdetail=6{4}|C-chi=2
|C-group=Oh, B3, [4,3], (*432)
|C-rotgroup=O, [4,3]+, (432)
|C-vfig=4.4.4|C-vfigimage=Cube_vertfig.png|C-netimage=Hexahedron flat color.svg
|C-ffig=V3.3.3.3
|C-conway=C|
|C-B=Cube|C-dual=Octahedron|C-dihedral=90°
|C-special=zonohedron, Hanner polytope
|C-schl={4,3}|C-schl2=t{2,4} or {4}×{}
tr{2,2}
{}×{}×{} = {}3
|C-CD=
|D-name=Dodecahedron|D-sh=5d|D-image=Dodecahedron.png|D-image2=dodecahedron.jpg|D-image3=dodecahedron.gif|D-dimage=icosahedron.png
|D-Wythoff=3 | 2 5
|D-W=5|D-U=23|D-K=28|D-C=26|D-V=20|D-E=30|D-F=12|D-Fdetail=12{5}|D-chi=2
|D-vfig=5.5.5|D-vfigimage=dodecahedron_vertfig.png|D-netimage=Dodecahedron flat.svg
|D-ffig=V3.3.3.3.3
|D-conway=D|
|D-group=Ih, H3, [5,3], (*532)
|D-rotgroup=I, [5,3]+, (532)
|D-B=Doe|D-dual=Regular icosahedron|D-dihedral=116.56505° = arccos(−1⁄√5)
|D-special=|D-schl={5,3}|D-schl2=
|D-CD=
|I-name=Icosahedron|I-sh=5<z>|I-image=icosahedron.png|I-image2=icosahedron.jpg|I-image3=icosahedron.gif|I-dimage=dodecahedron.png
|I-Wythoff=5 | 2 3
|I-W=4|I-U=22|I-K=27|I-C=25|I-V=12|I-E=30|I-F=20|I-Fdetail=20{3}|I-chi=2
|I-vfig=3.3.3.3.3|I-vfigimage=icosahedron_vertfig.svg|I-netimage=Icosahedron flat.svg
|I-ffig=V5.5.5
|I-conway=I
sT|
|I-group=Ih, H3, [5,3], (*532)
|I-rotgroup=I, [5,3]+, (532)
|I-B=Ike|I-dual=Regular dodecahedron|I-dihedral=138.189685° = arccos(−√5⁄3)
|I-special=deltahedron
|I-schl={3,5}|I-schl2=s{3,4}
sr{3,3} or
|I-CD=
|gI-name=Great icosahedron|gI-image=Great icosahedron.png|gI-image3=GreatIcosahedron.gif|gI-dimage=Great stellated dodecahedron.png
|gI-vfigimage=Great icosahedron vertfig.svg|gI-vfig=(35)/2
|gI-ffig=V(53)/2
|gI-Wythoff=5⁄2 | 2 3
|gI-altname=(16th stellation of icosahedron)
|gI-W=41|gI-U=53|gI-K=58|gI-C=69
|gI-V=12|gI-E=30|gI-F=20|gI-Fdetail=20{3}
|gI-chi=2
|gI-conway=|
|gI-group=Ih, H3, [5,3], (*532)
|gI-rotgroup=I, [5,3]+, (532)
|gI-B=Gike|gI-dual=Great stellated dodecahedron|gI-dihedral=?
|gI-special=deltahedron|gI-schl={3,5⁄2}|gI-schl2=
|gI-CD=
|gI-stellation=icosahedron
|gD-name=Great dodecahedron
|gD-image=Great dodecahedron.png|gD-image3=GreatDodecahedron.gif|gD-dimage=Small stellated dodecahedron.png
|gD-vfigimage=Great dodecahedron_vertfig.png|gD-vfig=(55)/2
|gD-ffig=V(5⁄2)5
|gD-Wythoff=5⁄2 | 2 5
|gD-W=21|gD-U=35|gD-K=40|gD-C=44
|gD-V=12|gD-E=30|gD-F=12|gD-Fdetail=12{5}
|gD-chi=-6
|gD-conway=|
|gD-group=Ih, H3, [5,3], (*532)
|gD-rotgroup=I, [5,3]+, (532)
|gD-B=Gad|gD-dual=Small stellated dodecahedron|gD-dihedral=?
|gD-special=|gD-schl={5,5⁄2}|gD-schl2=
|gD-CD=
|gD-stellation=regular dodecahedron
|lsD-name=Small stellated dodecahedron
|lsD-image=Small stellated dodecahedron.png|lsD-image3=SmallStellatedDodecahedron.gif|lsD-dimage=Great dodecahedron.png
|lsD-vfigimage=Small stellated dodecahedron_vertfig.png|lsD-vfig=(5⁄2)5
|lsD-ffig=V(55)/2
|lsD-Wythoff=5 | 2 5⁄2
|lsD-W=20|lsD-U=34|lsD-K=39|lsD-C=43
|lsD-V=12|lsD-E=30|lsD-F=12|lsD-Fdetail=12 5
|lsD-chi=-6
|lsD-conway=|
|lsD-group=Ih, H3, [5,3], (*532)
|lsD-rotgroup=I, [5,3]+, (532)
|lsD-B=Sissid|lsD-dual=Great dodecahedron|lsD-dihedral=?
|lsD-special=|lsD-schl={5⁄2,5}|lsD-schl2=
|lsD-CD=
|lsD-stellation=regular dodecahedron
|gsD-name=Great stellated dodecahedron
|gsD-image=Great stellated dodecahedron.png|gsD-image3=GreatStellatedDodecahedron.gif|gsD-dimage=Great icosahedron.png
|gsD-vfigimage=Great stellated dodecahedron_vertfig.png|gsD-vfig=(5⁄2)3
|gsD-ffig=V(35)/2
|gsD-Wythoff=3 | 2 5⁄2
|gsD-W=22|gsD-U=52|gsD-K=57|gsD-C=68
|gsD-V=20|gsD-E=30|gsD-F=12|gsD-Fdetail=12 { 5⁄2 }
|gsD-conway=
|gsD-chi=2
|gsD-group=Ih, H3, [5,3], (*532)
|gsD-rotgroup=I, [5,3]+, (532)
|gsD-B=Gissid|gsD-dual=Great icosahedron|gsD-dihedral=?
|gsD-special=|gsD-schl={5⁄2,3}|gsD-schl2=
|gsD-CD=
|gsD-stellation=regular dodecahedron
}}
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/50px-Test_Template_Info-Icon_-_Version_%282%29.svg.png)
See User:Tomruen/polyhedron database documentation.
See also
- {{Polyhedra}}
Tables:
- {{Cupolae}}
- {{Polyhedron operators}}
- {{Reg hyperbolic tiling stat table}}
- {{Reg tiling stat table}}
- {{Uniform hyperbolic tiling stat table}}
- {{Uniform tiling full table}}
- {{Uniform tiling list table}}
- {{Uniform tiling stat table}}
Database:
- {{Regular polygon db}}
- {{Prism polyhedra db}}
- {{Reg polyhedra db}}
- {{Semireg dual polyhedra db}}
- {{Semireg polyhedra db}}
- {{Uniform hyperbolic tiles db}}
- {{Uniform polyhedra db}}
- {{Uniform tiles db}}
Info- and navboxes:
- {{Honeycombs}}
- {{Infobox polygon}}
- {{Infobox polyhedron}}
- {{Polyhedron types}}
- {{Tessellation}}
Other:
- {{Coxeter–Dynkin diagram}}
- {{Honeycomb}}