List of polyhedra by facet layout (Meta, 12)

From Hi.gher. Space

(Difference between revisions)
m (fix FLD)
m (fix)
Line 10: Line 10:
!style='width:16%;'|Dual
!style='width:16%;'|Dual
|-
|-
-
|{{FLD|a3|e|e3}}
+
|{{FLD|a3|er|e3}}
|[[Tetrahedron]]||4,0||Kt1||4||6||4||None||Self-dual
|[[Tetrahedron]]||4,0||Kt1||4||6||4||None||Self-dual
|-
|-
-
|{{FLD|a3|e|e4}}
+
|{{FLD|a3|er|e4}}
|[[Octahedron]]||6,0||Ko4||8||12||6||None||[[Cube]]
|[[Octahedron]]||6,0||Ko4||8||12||6||None||[[Cube]]
|-
|-
-
|{{FLD|a3|e|e5}}
+
|{{FLD|a3|er|e5}}
|[[Icosahedron]]||10,2||Ki4||20||30||12||None||[[Dodecahedron]]
|[[Icosahedron]]||10,2||Ki4||20||30||12||None||[[Dodecahedron]]
|-
|-
-
|{{FLD|a4|e|e3}}
+
|{{FLD|a4|er|e3}}
|[[Cube]]||6,2||Ko1||6||12||8||[[Tetrahedron]]||[[Octahedron]]
|[[Cube]]||6,2||Ko1||6||12||8||[[Tetrahedron]]||[[Octahedron]]
|-
|-
-
|{{FLD|a5|e|e3}}
+
|{{FLD|a5|er|e3}}
|[[Dodecahedron]]||10,10,0||Ki1||12||30||20||None||[[Icosahedron]]
|[[Dodecahedron]]||10,10,0||Ki1||12||30||20||None||[[Icosahedron]]
|-
|-
Line 31: Line 31:
|[[Icosidodecahedron]]||Unknown||Ki2||32||60||30||None||[[Rhombic triacontahedron]]
|[[Icosidodecahedron]]||Unknown||Ki2||32||60||30||None||[[Rhombic triacontahedron]]
|-
|-
-
|{{FLD|a3|i|a2|e}}
+
|{{FLD|a3|i|a2|er}}
|[[Triangular prism]]||Unknown||+G3||5||9||6||None||[[Triangular bipyramid]]
|[[Triangular prism]]||Unknown||+G3||5||9||6||None||[[Triangular bipyramid]]
|-
|-
-
|{{FLD|a3|i|a3|e}}
+
|{{FLD|a3|i|a3|er}}
|[[Tetrahedral truncate]]||Unknown||Kt3||8||18||12||None||[[Triakis tetrahedron]]
|[[Tetrahedral truncate]]||Unknown||Kt3||8||18||12||None||[[Triakis tetrahedron]]
|-
|-
-
|{{FLD|a3|i|a4|e}}
+
|{{FLD|a3|i|a4|er}}
|[[Cubic truncate]]||Unknown||Ko3||14||36||24||None||[[Triakis octahedron]]
|[[Cubic truncate]]||Unknown||Ko3||14||36||24||None||[[Triakis octahedron]]
|-
|-
-
|{{FLD|a3|i|a5|e}}
+
|{{FLD|a3|i|a5|er}}
|[[Dodecahedral truncate]]||Unknown||Ki3||32||90||60||None||[[Triakis icosahedron]]
|[[Dodecahedral truncate]]||Unknown||Ki3||32||90||60||None||[[Triakis icosahedron]]
|-
|-
-
|{{FLD|a4|i|a3|e}}
+
|{{FLD|a4|i|a3|er}}
|[[Octahedral truncate]]||Unknown||Ko6||14||36||24||[[Icosahedron]]||[[Tetrakis hexahedron]]
|[[Octahedral truncate]]||Unknown||Ko6||14||36||24||[[Icosahedron]]||[[Tetrakis hexahedron]]
|-
|-
-
|{{FLD|a5|i|a2|e}}
+
|{{FLD|a5|i|a2|er}}
|[[Pentagonal prism]]||Unknown||+G5||7||15||10||None||[[Pentagonal bipyramid]]
|[[Pentagonal prism]]||Unknown||+G5||7||15||10||None||[[Pentagonal bipyramid]]
|-
|-
-
|{{FLD|a5|i|a3|e}}
+
|{{FLD|a5|i|a3|er}}
|[[Icosahedral truncate]]||Unknown||Ki6||32||90||60||None||[[Pentakis dodecahedron]]
|[[Icosahedral truncate]]||Unknown||Ki6||32||90||60||None||[[Pentakis dodecahedron]]
|-
|-
-
|{{FLD|a6|i|a2|e}}
+
|{{FLD|a6|i|a2|er}}
|[[Hexagonal prism]]||Unknown||+G6||8||18||12||[[Octahedron]]||[[Hexagonal bipyramid]]
|[[Hexagonal prism]]||Unknown||+G6||8||18||12||[[Octahedron]]||[[Hexagonal bipyramid]]
|-
|-
-
|{{FLD|a8|i|a2|e}}
+
|{{FLD|a8|i|a2|er}}
|[[Octagonal prism]]||Unknown||+G8||10||24||16||[[Square antiprism]]||[[Octagonal bipyramid]]
|[[Octagonal prism]]||Unknown||+G8||10||24||16||[[Square antiprism]]||[[Octagonal bipyramid]]
|-
|-
-
|{{FLD|a10|i|a2|e}}
+
|{{FLD|a10|i|a2|er}}
|[[Decagonal prism]]||Unknown||+G10||12||30||20||[[Pentagonal antiprism]]||[[Decagonal bipyramid]]
|[[Decagonal prism]]||Unknown||+G10||12||30||20||[[Pentagonal antiprism]]||[[Decagonal bipyramid]]
|-
|-
Line 91: Line 91:
|[[Decagonal antiprism]]||Unknown||G10$H10||24||44||22||None||[[Decagonal trapezohedron]]
|[[Decagonal antiprism]]||Unknown||G10$H10||24||44||22||None||[[Decagonal trapezohedron]]
|-
|-
-
|{{FLD|left=e3|dsev|aq|dsrmev|adl|e}}
+
|{{FLD|left=e3|dsel|aq|dsrmel|adl|er}}
|[[Trigonal expanded antitrapezohedron]]||Unknown||Unknown||12||24||14||[[Endotrikis antiprism]]||[[Hexagonal semibipyramid]]
|[[Trigonal expanded antitrapezohedron]]||Unknown||Unknown||12||24||14||[[Endotrikis antiprism]]||[[Hexagonal semibipyramid]]
|-
|-
-
|{{FLD|left=e4|dsev|aq|dsrmev|adl|e}}
+
|{{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]]||[[Octagonal semibipyramid]]
|-
|-
-
|{{FLD|left=e5|dsev|aq|dsrmev|adl|e}}
+
|{{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]]||[[Decagonal semibipyramid]]
|-
|-
Line 118: Line 118:
|[[Icosidodecahedral truncate]]||Unknown||Ki7||62||180||120||[[Dodecahedral snub]]||[[Disdyakis triacontahedron]]
|[[Icosidodecahedral truncate]]||Unknown||Ki7||62||180||120||[[Dodecahedral snub]]||[[Disdyakis triacontahedron]]
|-
|-
-
|{{FLD|a3|i|adr|edm|adl|e}}
+
|{{FLD|a3|i|adr|edm|adl|er}}
|[[Hexagonal semibipyramid]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]]
|[[Hexagonal semibipyramid]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]]
|-
|-
-
|{{FLD|a4|i|adr|edm|adl|e}}
+
|{{FLD|a4|i|adr|edm|adl|er}}
|[[Octagonal semibipyramid]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]]
|[[Octagonal semibipyramid]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]]
|-
|-
-
|{{FLD|a5|i|adr|edm|adl|e}}
+
|{{FLD|a5|i|adr|edm|adl|er}}
|[[Decagonal semibipyramid]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]]
|[[Decagonal semibipyramid]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]]
|-
|-
-
|{{FLD|a3|i|adr|dm|adl|i|asr|dse}}
+
|{{FLD|a3|i|adr|dm|adl|i|asr|dser}}
|[[Endotrikis antiprism]]||Unknown||Unknown||10||15||7||None||[[Trigonal trapezosemipyramid]]
|[[Endotrikis antiprism]]||Unknown||Unknown||10||15||7||None||[[Trigonal trapezosemipyramid]]
|-
|-
-
|{{FLD|a4|i|adr|dm|adl|i|asr|dse}}
+
|{{FLD|a4|i|adr|dm|adl|i|asr|dser}}
|[[Endotetrakis antiprism]]||Unknown||Unknown||13||20||9||None||[[Tetragonal trapezosemipyramid]]
|[[Endotetrakis antiprism]]||Unknown||Unknown||13||20||9||None||[[Tetragonal trapezosemipyramid]]
|-
|-
-
|{{FLD|a5|i|adr|dm|adl|i|asr|dse}}
+
|{{FLD|a5|i|adr|dm|adl|i|asr|dser}}
|[[Endopentakis antiprism]]||Unknown||Unknown||16||25||11||None||[[Pentagonal trapezosemipyramid]]
|[[Endopentakis antiprism]]||Unknown||Unknown||16||25||11||None||[[Pentagonal trapezosemipyramid]]
|}
|}
[[Category:Trishapes|$]]
[[Category:Trishapes|$]]

Revision as of 20:06, 19 February 2011

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)
CuboctahedronUnknownKo2142412NoneRhombic 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 antiprismHexagonal semibipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Tetragonal expanded antitrapezohedronUnknownUnknown163218Endotetrakis antiprismOctagonal semibipyramid
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Pentagonal expanded antitrapezohedronUnknownUnknown204022Endopentakis antiprismDecagonal semibipyramid
(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)
Hexagonal semibipyramidUnknownUnknown142412NoneTrigonal expanded antitrapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Octagonal semibipyramidUnknownUnknown183216NoneTetragonal expanded antitrapezohedron
(image) (image) (image) (image) (image) (image) (image) (image) (image) (image)
Decagonal semibipyramidUnknownUnknown224020NonePentagonal 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