List of polyhedra by facet layout (Meta, 12)

From Higher Dimensions Database

(Difference between revisions)
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(2n-semibipyramid -> n-orthobicupola)
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|{{FLD|left=e3|dsel|aq|dsrmel|adl|er}}
|{{FLD|left=e3|dsel|aq|dsrmel|adl|er}}
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|[[Trigonal expanded antitrapezohedron]]||Unknown||Unknown||12||24||14||[[Endotrikis antiprism]]||[[Hexagonal semibipyramid]]
+
|[[Trigonal expanded antitrapezohedron]]||Unknown||Unknown||12||24||14||[[Endotrikis antiprism]]||[[Triangular orthobicupola]]
|-
|-
|{{FLD|left=e4|dsel|aq|dsrmel|adl|er}}
|{{FLD|left=e4|dsel|aq|dsrmel|adl|er}}
-
|[[Tetragonal expanded antitrapezohedron]]||Unknown||Unknown||16||32||18||[[Endotetrakis antiprism]]||[[Octagonal semibipyramid]]
+
|[[Tetragonal expanded antitrapezohedron]]||Unknown||Unknown||16||32||18||[[Endotetrakis antiprism]]||[[Square orthobicupola]]
|-
|-
|{{FLD|left=e5|dsel|aq|dsrmel|adl|er}}
|{{FLD|left=e5|dsel|aq|dsrmel|adl|er}}
-
|[[Pentagonal expanded antitrapezohedron]]||Unknown||Unknown||20||40||22||[[Endopentakis antiprism]]||[[Decagonal semibipyramid]]
+
|[[Pentagonal expanded antitrapezohedron]]||Unknown||Unknown||20||40||22||[[Endopentakis antiprism]]||[[Pentagonal orthobicupola]]
|-
|-
|{{FLD|a3|i|ate|i|a4|cr}}
|{{FLD|a3|i|ate|i|a4|cr}}
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|-
|-
|{{FLD|a3|i|adr|edm|adl|er}}
|{{FLD|a3|i|adr|edm|adl|er}}
-
|[[Hexagonal semibipyramid]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]]
+
|[[Triangular orthobicupola]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]]
|-
|-
|{{FLD|a4|i|adr|edm|adl|er}}
|{{FLD|a4|i|adr|edm|adl|er}}
-
|[[Octagonal semibipyramid]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]]
+
|[[Square orthobicupola]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]]
|-
|-
|{{FLD|a5|i|adr|edm|adl|er}}
|{{FLD|a5|i|adr|edm|adl|er}}
-
|[[Decagonal semibipyramid]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]]
+
|[[Pentagonal orthobicupola]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]]
|-
|-
|{{FLD|a3|i|adr|dm|adl|i|asr|dser}}
|{{FLD|a3|i|adr|dm|adl|i|asr|dser}}

Revision as of 20:20, 10 January 2012

Facet layout Name Petrie order SSC2 Faces Edges Vertices Alternation Dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Tetrahedron4,0Kt1464NoneSelf-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octahedron6,0Ko48126NoneCube
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Icosahedron10,2Ki4203012NoneDodecahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cube6,2Ko16128TetrahedronOctahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Dodecahedron10,10,0Ki1123020NoneIcosahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cuboctahedron6,6,0Ko2142412NoneRhombic dodecahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
IcosidodecahedronUnknownKi2326030NoneRhombic triacontahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Triangular prismUnknown+G3596NoneTriangular bipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Tetrahedral truncateUnknownKt381812NoneTriakis tetrahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cubic truncateUnknownKo3143624NoneTriakis octahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Dodecahedral truncateUnknownKi3329060NoneTriakis icosahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octahedral truncateUnknownKo6143624IcosahedronTetrakis hexahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pentagonal prismUnknown+G571510NonePentagonal bipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Icosahedral truncateUnknownKi6329060NonePentakis dodecahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Hexagonal prismUnknown+G681812OctahedronHexagonal bipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octagonal prismUnknown+G8102416Square antiprismOctagonal bipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Decagonal prismUnknown+G10123020Pentagonal antiprismDecagonal bipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Square pyramidUnknown&G4585NoneSelf-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Square antiprismUnknownG4$H410168NoneTetragonal trapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pentagonal pyramidUnknown&G56106NoneSelf-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pentagonal antiprismUnknownG5$H5122010NonePentagonal trapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Hexagonal pyramidUnknown&G67127NoneSelf-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Hexagonal antiprismUnknownG6$H6162814NoneHexagonal trapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octagonal pyramidUnknown&G89169NoneSelf-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octagonal antiprismUnknownG8$H8203618NoneOctagonal trapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Decagonal pyramidUnknown&G10112011NoneSelf-dual
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Decagonal antiprismUnknownG10$H10244422NoneDecagonal trapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Trigonal expanded antitrapezohedronUnknownUnknown122414Endotrikis antiprismTriangular orthobicupola
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Tetragonal expanded antitrapezohedronUnknownUnknown163218Endotetrakis antiprismSquare orthobicupola
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pentagonal expanded antitrapezohedronUnknownUnknown204022Endopentakis antiprismPentagonal orthobicupola
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cubic snubUnknownKo0386024NonePentagonal icositetrahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Dodecahedral snubUnknownKi09215060NonePentagonal hexecontahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cuboctahedral rectateUnknownKo5264824NoneDeltoidal icositetrahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Icosidodecahedral rectateUnknownKi56212060NoneDeltoidal hexecontahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Cuboctahedral truncateUnknownKo7267248Cubic snubDisdyakis dodecahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Icosidodecahedral truncateUnknownKi762180120Dodecahedral snubDisdyakis triacontahedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Triangular orthobicupolaUnknownUnknown142412NoneTrigonal expanded antitrapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Square orthobicupolaUnknownUnknown183216NoneTetragonal expanded antitrapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pentagonal orthobicupolaUnknownUnknown224020NonePentagonal expanded antitrapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Endotrikis antiprismUnknownUnknown10157NoneTrigonal trapezosemipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Endotetrakis antiprismUnknownUnknown13209NoneTetragonal trapezosemipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Endopentakis antiprismUnknownUnknown162511NonePentagonal trapezosemipyramid