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List of polyhedra by facet layout
(Meta,
12
)
From Hi.gher. Space
Revision as of 22:37, 10 January 2012 by
Hayate
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Parent
Elements
Dual
Facet layout
Name
SSC2
Faces
Edges
Vertices
Facet layout
Name
SSC2
Tetrahedron
Kt1
4
6
4
Self-dual
Cube
Ko1
6
12
8
Octahedron
Ko4
Dodecahedron
Ki1
12
30
20
Icosahedron
Ki4
Cuboctahedron
Ko2
14
24
12
Rhombic dodecahedron
Icosidodecahedron
Ki2
32
60
30
Rhombic triacontahedron
Tetrahedral truncate
Kt3
8
18
12
Triakis tetrahedron
Cubic truncate
Ko3
14
36
24
Triakis octahedron
Dodecahedral truncate
Ki3
32
90
60
Triakis icosahedron
Octahedral truncate
Ko6
14
36
24
Tetrakis hexahedron
Icosahedral truncate
Ki6
32
90
60
Pentakis dodecahedron
Triangular prism
+G3
5
9
6
Triangular bipyramid
Pentagonal prism
+G5
7
15
10
Pentagonal bipyramid
Hexagonal prism
+G6
8
18
12
Hexagonal bipyramid
Octagonal prism
+G8
10
24
16
Octagonal bipyramid
Decagonal prism
+G10
12
30
20
Decagonal bipyramid
Square pyramid
&G4
5
8
5
Self-dual
Pentagonal pyramid
&G5
6
10
6
Self-dual
Hexagonal pyramid
&G6
7
12
7
Self-dual
Octagonal pyramid
&G8
9
16
9
Self-dual
Decagonal pyramid
&G10
11
20
11
Self-dual
Square antiprism
G4$H4
10
16
8
Tetragonal trapezohedron
Pentagonal antiprism
G5$H5
12
20
10
Pentagonal trapezohedron
Hexagonal antiprism
G6$H6
16
28
14
Hexagonal trapezohedron
Octagonal antiprism
G8$H8
20
36
18
Octagonal trapezohedron
Decagonal antiprism
G10$H10
24
44
22
Decagonal trapezohedron
Trigonal expanded antitrapezohedron
Unknown
12
24
14
Triangular orthobicupola
Unknown
Tetragonal expanded antitrapezohedron
Unknown
16
32
18
Square orthobicupola
Unknown
Pentagonal expanded antitrapezohedron
Unknown
20
40
22
Pentagonal orthobicupola
Unknown
Cubic snub
Ko0
38
60
24
Pentagonal icositetrahedron
Dodecahedral snub
Ki0
92
150
60
Pentagonal hexecontahedron
Cuboctahedral rectate
Ko5
26
48
24
Deltoidal icositetrahedron
Icosidodecahedral rectate
Ki5
62
120
60
Deltoidal hexecontahedron
Cuboctahedral truncate
Ko7
26
72
48
Disdyakis dodecahedron
Icosidodecahedral truncate
Ki7
62
180
120
Disdyakis triacontahedron
Endotrikis antiprism
Unknown
10
15
7
Trigonal trapezosemipyramid
Endotetrakis antiprism
Unknown
13
20
9
Tetragonal trapezosemipyramid
Endopentakis antiprism
Unknown
16
25
11
Pentagonal trapezosemipyramid