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Facet Layout Diagram
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This page was last modified on 12 March 2014, at 22:47.
This page has been accessed 22,306 times.
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List of polyhedra by facet layout
(Meta,
12
)
From Hi.gher. Space
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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
Stauromesohedron
Ko2
14
24
12
Unknown
Rhombic dodecahedron
Unknown
Rhodomesohedron
Ki2
32
60
30
Unknown
Rhombic triacontahedron
Unknown
Tetrahedral truncate
Kt3
8
18
12
Unknown
Triakis tetrahedron
Unknown
Cubic truncate
Ko3
14
36
24
Unknown
Triakis octahedron
Unknown
Dodecahedral truncate
Ki3
32
90
60
Unknown
Triakis icosahedron
Unknown
Octahedral truncate
Ko6
14
36
24
Unknown
Tetrakis hexahedron
Unknown
Icosahedral truncate
Ki6
32
90
60
Unknown
Pentakis dodecahedron
Unknown
Triangular prism
+G3
5
9
6
Unknown
Triangular bipyramid
Unknown
Pentagonal prism
+G5
7
15
10
Unknown
Pentagonal bipyramid
Unknown
Hexagonal prism
+G6
8
18
12
Unknown
Hexagonal bipyramid
Unknown
Octagonal prism
+G8
10
24
16
Unknown
Octagonal bipyramid
Unknown
Decagonal prism
+G10
12
30
20
Unknown
Decagonal bipyramid
Unknown
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$H4
10
16
8
Unknown
Tetragonal trapezohedron
Unknown
Pentagonal antiprism
G5$H5
12
20
10
Unknown
Pentagonal trapezohedron
Unknown
Hexagonal antiprism
G6$H6
16
28
14
Unknown
Hexagonal trapezohedron
Unknown
Octagonal antiprism
G8$H8
20
36
18
Unknown
Octagonal trapezohedron
Unknown
Decagonal antiprism
G10$H10
24
44
22
Unknown
Decagonal trapezohedron
Unknown
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
Snub staurohedron
Ko0
38
60
24
Unknown
Pentagonal icositetrahedron
Unknown
Snub rhodohedron
Ki0
92
150
60
Unknown
Pentagonal hexecontahedron
Unknown
Stauroperihedron
Ko5
26
48
24
Unknown
Deltoidal icositetrahedron
Unknown
Rhodoperihedron
Ki5
62
120
60
Unknown
Deltoidal hexecontahedron
Unknown
Stauropantohedron
Ko7
26
72
48
Unknown
Disdyakis dodecahedron
Unknown
Rhodopantohedron
Ki7
62
180
120
Unknown
Disdyakis triacontahedron
Unknown
Endotrikis antiprism
Unknown
10
15
7
Unknown
Trigonal trapezosemipyramid
Unknown
Endotetrakis antiprism
Unknown
13
20
9
Unknown
Tetragonal trapezosemipyramid
Unknown
Endopentakis antiprism
Unknown
16
25
11
Unknown
Pentagonal trapezosemipyramid
Unknown
Tridiminished icosahedron
Unknown
8
15
9
Unknown
Unknown
Unknown
Bilunabirotunda
Unknown
14
26
14
Unknown
Unknown
Unknown