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List of polyhedra by facet layout
(Meta,
12
)
From Hi.gher. Space
Revision as of 18:08, 19 February 2011 by
Hayate
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Facet layout
Name
Petrie order
SSC2
Faces
Edges
Vertices
Alternation
Dual
No such file
Tetrahedron
4,0
Kt1
4
6
4
None
Self-dual
No such file
Octahedron
6,0
Ko4
8
12
6
None
Cube
No such file
Icosahedron
10,2
Ki4
20
30
12
None
Dodecahedron
No such file
Cube
6,2
Ko1
6
12
8
Tetrahedron
Octahedron
No such file
Dodecahedron
10,10,0
Ki1
12
30
20
None
Icosahedron
Cuboctahedron
Unknown
Ko2
14
24
12
None
Rhombic dodecahedron
Icosidodecahedron
Unknown
Ki2
32
60
30
None
Rhombic triacontahedron
No such file
Triangular prism
Unknown
+G3
5
9
6
None
Triangular bipyramid
No such file
Tetrahedral truncate
Unknown
Kt3
8
18
12
None
Triakis tetrahedron
No such file
Cubic truncate
Unknown
Ko3
14
36
24
None
Triakis octahedron
No such file
Dodecahedral truncate
Unknown
Ki3
32
90
60
None
Triakis icosahedron
No such file
Octahedral truncate
Unknown
Ko6
14
36
24
Icosahedron
Tetrakis hexahedron
No such file
Pentagonal prism
Unknown
+G5
7
15
10
None
Pentagonal bipyramid
No such file
Icosahedral truncate
Unknown
Ki6
32
90
60
None
Pentakis dodecahedron
No such file
Hexagonal prism
Unknown
+G6
8
18
12
Octahedron
Hexagonal bipyramid
No such file
Octagonal prism
Unknown
+G8
10
24
16
Square antiprism
Octagonal bipyramid
No such file
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
No such file
No such file
No such file
Trigonal expanded antitrapezohedron
Unknown
Unknown
12
24
14
Endotrikis antiprism
Hexagonal semibipyramid
No such file
No such file
No such file
Tetragonal expanded antitrapezohedron
Unknown
Unknown
16
32
18
Endotetrakis antiprism
Octagonal semibipyramid
No such file
No such file
No such file
Pentagonal expanded antitrapezohedron
Unknown
Unknown
20
40
22
Endopentakis antiprism
Decagonal semibipyramid
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
No such file
Hexagonal semibipyramid
Unknown
Unknown
14
24
12
None
Trigonal expanded antitrapezohedron
No such file
Octagonal semibipyramid
Unknown
Unknown
18
32
16
None
Tetragonal expanded antitrapezohedron
No such file
Decagonal semibipyramid
Unknown
Unknown
22
40
20
None
Pentagonal expanded antitrapezohedron
No such file
Endotrikis antiprism
Unknown
Unknown
10
15
7
None
Trigonal trapezosemipyramid
No such file
Endotetrakis antiprism
Unknown
Unknown
13
20
9
None
Tetragonal trapezosemipyramid
No such file
Endopentakis antiprism
Unknown
Unknown
16
25
11
None
Pentagonal trapezosemipyramid