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List of polyhedra by facet layout
(Meta,
12
)
From Hi.gher. Space
Revision as of 21:52, 10 January 2012 by
Hayate
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Facet layout
Name
Petrie order
SSC2
Faces
Edges
Vertices
Alternation
Dual
Tetrahedron
4,0
Kt1
4
6
4
None
Self-dual
Octahedron
6,0
Ko4
8
12
6
None
Cube
Icosahedron
10,2
Ki4
20
30
12
None
Dodecahedron
Cube
6,2
Ko1
6
12
8
Tetrahedron
Octahedron
Dodecahedron
10,10,0
Ki1
12
30
20
None
Icosahedron
Cuboctahedron
6,6,0
Ko2
14
24
12
None
Rhombic dodecahedron
Icosidodecahedron
Unknown
Ki2
32
60
30
None
Rhombic triacontahedron
Triangular prism
Unknown
+G3
5
9
6
None
Triangular bipyramid
Tetrahedral truncate
Unknown
Kt3
8
18
12
None
Triakis tetrahedron
Cubic truncate
Unknown
Ko3
14
36
24
None
Triakis octahedron
Dodecahedral truncate
Unknown
Ki3
32
90
60
None
Triakis icosahedron
Octahedral truncate
Unknown
Ko6
14
36
24
Icosahedron
Tetrakis hexahedron
Pentagonal prism
Unknown
+G5
7
15
10
None
Pentagonal bipyramid
Icosahedral truncate
Unknown
Ki6
32
90
60
None
Pentakis dodecahedron
Hexagonal prism
Unknown
+G6
8
18
12
Octahedron
Hexagonal bipyramid
Octagonal prism
Unknown
+G8
10
24
16
Square antiprism
Octagonal bipyramid
Decagonal prism
Unknown
+G10
12
30
20
Pentagonal antiprism
Decagonal bipyramid
Square pyramid
Unknown
&G4
5
8
5
None
Self-dual
Square antiprism
Unknown
G4$H4
10
16
8
None
Tetragonal trapezohedron
Pentagonal pyramid
Unknown
&G5
6
10
6
None
Self-dual
Pentagonal antiprism
Unknown
G5$H5
12
20
10
None
Pentagonal trapezohedron
Hexagonal pyramid
Unknown
&G6
7
12
7
None
Self-dual
Hexagonal antiprism
Unknown
G6$H6
16
28
14
None
Hexagonal trapezohedron
Octagonal pyramid
Unknown
&G8
9
16
9
None
Self-dual
Octagonal antiprism
Unknown
G8$H8
20
36
18
None
Octagonal trapezohedron
Decagonal pyramid
Unknown
&G10
11
20
11
None
Self-dual
Decagonal antiprism
Unknown
G10$H10
24
44
22
None
Decagonal trapezohedron
Trigonal expanded antitrapezohedron
Unknown
Unknown
12
24
14
Endotrikis antiprism
Triangular orthobicupola
Tetragonal expanded antitrapezohedron
Unknown
Unknown
16
32
18
Endotetrakis antiprism
Square orthobicupola
Pentagonal expanded antitrapezohedron
Unknown
Unknown
20
40
22
Endopentakis antiprism
Pentagonal orthobicupola
Cubic snub
Unknown
Ko0
38
60
24
None
Pentagonal icositetrahedron
Dodecahedral snub
Unknown
Ki0
92
150
60
None
Pentagonal hexecontahedron
Cuboctahedral rectate
Unknown
Ko5
26
48
24
None
Deltoidal icositetrahedron
Icosidodecahedral rectate
Unknown
Ki5
62
120
60
None
Deltoidal hexecontahedron
Cuboctahedral truncate
Unknown
Ko7
26
72
48
Cubic snub
Disdyakis dodecahedron
Icosidodecahedral truncate
Unknown
Ki7
62
180
120
Dodecahedral snub
Disdyakis triacontahedron
Triangular orthobicupola
Unknown
Unknown
14
24
12
None
Trigonal expanded antitrapezohedron
Square orthobicupola
Unknown
Unknown
18
32
16
None
Tetragonal expanded antitrapezohedron
Pentagonal orthobicupola
Unknown
Unknown
22
40
20
None
Pentagonal expanded antitrapezohedron
Endotrikis antiprism
Unknown
Unknown
10
15
7
None
Trigonal trapezosemipyramid
Endotetrakis antiprism
Unknown
Unknown
13
20
9
None
Tetragonal trapezosemipyramid
Endopentakis antiprism
Unknown
Unknown
16
25
11
None
Pentagonal trapezosemipyramid