List of convex regular-faced polyhedra

Short description: Wikipedia list article

This is a list of convex, regular-faced polyhedra. Since there are an infinite number of prisms and antiprisms, only a few have been listed.

Name  | Platonic?  | Archimedean?  | Prism?  | Antiprism?  | Pyramid?  | Dipyramid?  | Deltahedron?  | Faces (3)  | Faces (4)  | Faces (5)  | Faces (6)  | Faces (8)  | Faces (10)  | Faces (12)  | Faces (n)  | Edges  | Vertices

|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|

Tetrahedron | Yes  | No  | No  | No  | Yes  | No  | Yes  | 4  | 0  | 0  | 0  | 0  | 0  | 0  | \-  | 6  | 4
Cube | Yes  | No  | Yes  | No  | No  | No  | No  | 0  | 6  | 0  | 0  | 0  | 0  | 0  | \-  | 12  | 8
Octahedron | Yes  | No  | No  | Yes  | No  | Yes  | Yes  | 8  | 0  | 0  | 0  | 0  | 0  | 0  | \-  | 12  | 6
Dodecahedron | Yes  | No  | No  | No  | No  | No  | No  | 0  | 0  | 12  | 0  | 0  | 0  | 0  | \-  | 30  | 20
Icosahedron | Yes  | No  | No  | No  | No  | No  | Yes  | 20  | 0  | 0  | 0  | 0  | 0  | 0  | \-  | 30  | 12
Truncated tetrahedron | No  | Yes  | No  | No  | No  | No  | No  | 4  | 0  | 0  | 4  | 0  | 0  | 0  | \-  | 18  | 12
Cuboctahedron | No  | Yes  | No  | No  | No  | No  | No  | 8  | 6  | 0  | 0  | 0  | 0  | 0  | \-  | 24  | 12
Truncated cube | No  | Yes  | No  | No  | No  | No  | No  | 8  | 0  | 0  | 0  | 6  | 0  | 0  | \-  | 36  | 24
Truncated octahedron | No  | Yes  | No  | No  | No  | No  | No  | 0  | 6  | 0  | 8  | 0  | 0  | 0  | \-  | 36  | 24
Rhombicuboctahedron | No  | Yes  | No  | No  | No  | No  | No  | 8  | 18  | 0  | 0  | 0  | 0  | 0  | \-  | 48  | 24
Great rhombicuboctahedron | No  | Yes  | No  | No  | No  | No  | No  | 0  | 12  | 0  | 8  | 6  | 0  | 0  | \-  | 72  | 48
Snub cube | No  | Yes  | No  | No  | No  | No  | No  | 32  | 6  | 0  | 0  | 0  | 0  | 0  | \-  | 60  | 24
Icosidodecahedron | No  | Yes  | No  | No  | No  | No  | No  | 20  | 0  | 12  | 0  | 0  | 0  | 0  | \-  | 60  | 30
Truncated dodecahedron | No  | Yes  | No  | No  | No  | No  | No  | 20  | 0  | 0  | 0  | 0  | 12  | 0  | \-  | 90  | 60
Truncated icosahedron | No  | Yes  | No  | No  | No  | No  | No  | 0  | 0  | 12  | 20  | 0  | 0  | 0  | \-  | 90  | 60
Rhombicosidodecahedron | No  | Yes  | No  | No  | No  | No  | No  | 20  | 30  | 12  | 0  | 0  | 0  | 0  | \-  | 120  | 60
Great rhombicosidodecahedron | No  | Yes  | No  | No  | No  | No  | No  | 0  | 30  | 0  | 20  | 0  | 12  | 0  | \-  | 180  | 120
Snub dodecahedron | No  | Yes  | No  | No  | No  | No  | No  | 80  | 0  | 12  | 0  | 0  | 0  | 0  | \-  | 150  | 60
Triangular prism | No  | Yes  | Yes  | No  | No  | No  | No  | 2  | 3  | 0  | 0  | 0  | 0  | 0  | \-  | 9  | 6
Pentagonal prism | No  | Yes  | Yes  | No  | No  | No  | No  | 0  | 5  | 2  | 0  | 0  | 0  | 0  | \-  | 15  | 10
Octagonal prism | No  | Yes  | Yes  | No  | No  | No  | No  | 0  | 8  | 0  | 0  | 2  | 0  | 0  | \-  | 24  | 16
n-prism | No  | Yes  | Yes  | No  | No  | No  | No  | \-  | n | \-  | \-  | \-  | \-  | \-  | 2  | 3n | 2n
Square antiprism | No  | Yes  | No  | Yes  | No  | No  | No  | 8  | 2  | 0  | 0  | 0  | 0  | 0  | \-  | 16  | 8
Pentagonal antiprism | No  | Yes  | No  | Yes  | No  | No  | No  | 10  | 0  | 2  | 0  | 0  | 0  | 0  | \-  | 20  | 10
n-antiprism | No  | Yes  | No  | Yes  | No  | No  | No  | 2n | \-  | \-  | \-  | \-  | \-  | \-  | 2  | 4n | 2n
Square pyramid | No  | No  | No  | No  | Yes  | No  | No  | 4  | 1  | 0  | 0  | 0  | 0  | 0  | \-  | 8  | 5
Pentagonal pyramid | No  | No  | No  | No  | Yes  | No  | No  | 5  | 0  | 1  | 0  | 0  | 0  | 0  | \-  | 10  | 6
Triangular cupola | No  | No  | No  | No  | No  | No  | No  | 4  | 3  | 0  | 1  | 0  | 0  | 0  | \-  | 15  | 9
Square cupola | No  | No  | No  | No  | No  | No  | No  | 4  | 5  | 0  | 0  | 1  | 0  | 0  | \-  | 20  | 12
Pentagonal cupola | No  | No  | No  | No  | No  | No  | No  | 5  | 5  | 1  | 0  | 0  | 1  | 0  | \-  | 25  | 15
Pentagonal rotunda | No  | No  | No  | No  | No  | No  | No  | 10  | 0  | 6  | 0  | 0  | 1  | 0  | \-  | 35  | 20
Gyroelongated pentagonal pyramid | No  | No  | No  | No  | No  | No  | No
Triangular dipyramid  | No  | No  | No  | No  | No  | Yes  | Yes
Pentagonal dipyramid  | No  | No  | No  | No  | No  | Yes  | Yes
Gyroelongated square dipyramid  | No  | No  | No  | No  | No  | No  | Yes
Elongated square cupola | No  | No  | No  | No  | No  | No  | No
Elongated square gyrobicupola | No  | No  | No  | No  | No  | No  | No  | 8  | 18  | 0  | 0  | 0  | 0  | 0  | \-  | 48  | 24
Triaugmented triangular prism | No  | No  | No  | No  | No  | No  | Yes
Metabidiminished icosahedron | No  | No  | No  | No  | No  | No  | No
Tridiminished icosahedron | No  | No  | No  | No  | No  | No  | No
Diminished rhombicosidodecahedron | No  | No  | No  | No  | No  | No  | No
Parabidiminished rhombicosidodecahedron | No  | No  | No  | No  | No  | No  | No
Metabidiminished rhombicosidodecahedron | No  | No  | No  | No  | No  | No  | No
Tridiminished rhombicosidodecahedron | No  | No  | No  | No  | No  | No  | No
Snub disphenoid | No  | No  | No  | No  | No  | No  | Yes
Snub square antiprism | No  | No  | No  | No  | No  | No  | No
Sphenocorona | No  | No  | No  | No  | No  | No  | No
Sphenomegacorona | No  | No  | No  | No  | No  | No  | No
Hebesphenomegacorona | No  | No  | No  | No  | No  | No  | No
Disphenocingulum | No  | No  | No  | No  | No  | No  | No
Bilunabirotunda | No  | No  | No  | No  | No  | No  | No
Triangular hebesphenorotunda | No  | No  | No  | No  | No  | No  | No

This article does not cite any external source. HandWiki requires at least one external source. See citing external sources. Please help improve this article. Unsourced material may be removed in future.
Find sources: "List of convex regular-faced polyhedra" – news · newspapers · books · scholar · JSTOR (2021) (Learn how and when to remove this template message)

|

0.00

(0 votes)

|

Retrieved from "https://handwiki.org/wiki/index.php?title=List_of_convex_regular-faced_polyhedra&oldid=3907725"