List of polyhedra by facet layout (Meta, 12)

From Hi.gher. Space

(Difference between revisions)
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Line 61: Line 61:
|[[Decagonal prism]]||Unknown||+G10||12||30||20||[[Pentagonal antiprism]]||[[Decagonal bipyramid]]
|[[Decagonal prism]]||Unknown||+G10||12||30||20||[[Pentagonal antiprism]]||[[Decagonal bipyramid]]
|-
|-
-
|{{FLD|a4|line|dblend|cright|e4}}
+
|{{FLD|a4|line|adblend|cright|e4}}
|[[Square pyramid]]||Unknown||&G4||5||8||5||None||Self-dual
|[[Square pyramid]]||Unknown||&G4||5||8||5||None||Self-dual
|-
|-
-
|{{FLD|a4|line|dblend|cright|e8}}
+
|{{FLD|a4|line|adblend|cright|e8}}
|[[Square antiprism]]||Unknown||G4$H4||10||16||8||None||[[Tetragonal trapezohedron]]
|[[Square antiprism]]||Unknown||G4$H4||10||16||8||None||[[Tetragonal trapezohedron]]
|-
|-
-
|{{FLD|a5|line|dblend|cright|e5}}
+
|{{FLD|a5|line|adblend|cright|e5}}
|[[Pentagonal pyramid]]||Unknown||&G5||6||10||6||None||Self-dual
|[[Pentagonal pyramid]]||Unknown||&G5||6||10||6||None||Self-dual
|-
|-
-
|{{FLD|a5|line|dblend|cright|e10}}
+
|{{FLD|a5|line|adblend|cright|e10}}
|[[Pentagonal antiprism]]||Unknown||G5$H5||12||20||10||None||[[Pentagonal trapezohedron]]
|[[Pentagonal antiprism]]||Unknown||G5$H5||12||20||10||None||[[Pentagonal trapezohedron]]
|-
|-
-
|{{FLD|a6|line|dblend|cright|e6}}
+
|{{FLD|a6|line|adblend|cright|e6}}
|[[Hexagonal pyramid]]||Unknown||&G6||7||12||7||None||Self-dual
|[[Hexagonal pyramid]]||Unknown||&G6||7||12||7||None||Self-dual
|-
|-
-
|{{FLD|a6|line|dblend|cright|e12}}
+
|{{FLD|a6|line|adblend|cright|e12}}
|[[Hexagonal antiprism]]||Unknown||G6$H6||16||28||14||None||[[Hexagonal trapezohedron]]
|[[Hexagonal antiprism]]||Unknown||G6$H6||16||28||14||None||[[Hexagonal trapezohedron]]
|-
|-
-
|{{FLD|a8|line|dblend|cright|e8}}
+
|{{FLD|a8|line|adblend|cright|e8}}
|[[Octagonal pyramid]]||Unknown||&G8||9||16||9||None||Self-dual
|[[Octagonal pyramid]]||Unknown||&G8||9||16||9||None||Self-dual
|-
|-
-
|{{FLD|a8|line|dblend|cright|e16}}
+
|{{FLD|a8|line|adblend|cright|e16}}
|[[Octagonal antiprism]]||Unknown||G8$H8||20||36||18||None||[[Octagonal trapezohedron]]
|[[Octagonal antiprism]]||Unknown||G8$H8||20||36||18||None||[[Octagonal trapezohedron]]
|-
|-
-
|{{FLD|a10|line|dblend|cright|e10}}
+
|{{FLD|a10|line|adblend|cright|e10}}
|[[Decagonal pyramid]]||Unknown||&G10||11||20||11||None||Self-dual
|[[Decagonal pyramid]]||Unknown||&G10||11||20||11||None||Self-dual
|-
|-
-
|{{FLD|a10|line|dblend|cright|e20}}
+
|{{FLD|a10|line|adblend|cright|e20}}
|[[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|diagerev|diag|diagtbrighterev|tbleft|end}}
+
|{{FLD|left=e3|dbldiagerev|aquad|dbldiagrbarerev|adblleft|end}}
|[[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|diagerev|diag|diagtbrighterev|tbleft|end}}
+
|{{FLD|left=e4|dbldiagerev|aquad|dbldiagrbarerev|adblleft|end}}
|[[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|diagerev|diag|diagtbrighterev|tbleft|end}}
+
|{{FLD|left=e5|dbldiagerev|aquad|dbldiagrbarerev|adblleft|end}}
|[[Pentagonal expanded antitrapezohedron]]||Unknown||Unknown||20||40||22||[[Endopentakis antiprism]]||[[Decagonal semibipyramid]]
|[[Pentagonal expanded antitrapezohedron]]||Unknown||Unknown||20||40||22||[[Endopentakis antiprism]]||[[Decagonal semibipyramid]]
|-
|-
-
|{{FLD|a3|line|upend|line|a4|cright}}
+
|{{FLD|a3|line|atend|line|a4|cright}}
|[[Cubic snub]]||Unknown||Ko0||38||60||24||None||[[Pentagonal icositetrahedron]]
|[[Cubic snub]]||Unknown||Ko0||38||60||24||None||[[Pentagonal icositetrahedron]]
|-
|-
-
|{{FLD|a3|line|upend|line|a5|cright}}
+
|{{FLD|a3|line|atend|line|a5|cright}}
|[[Dodecahedral snub]]||Unknown||Ki0||92||150||60||None||[[Pentagonal hexecontahedron]]
|[[Dodecahedral snub]]||Unknown||Ki0||92||150||60||None||[[Pentagonal hexecontahedron]]
|-
|-
Line 112: Line 112:
|[[Icosidodecahedral rectate]]||Unknown||Ki5||62||120||60||None||[[Deltoidal hexecontahedron]]
|[[Icosidodecahedral rectate]]||Unknown||Ki5||62||120||60||None||[[Deltoidal hexecontahedron]]
|-
|-
-
|{{FLD|tright2|tline|tbar3|tline|tleft4|cright}}
+
|{{FLD|a2tright|tline|a3tbar|tline|a4tleft|cright}}
|[[Cuboctahedral truncate]]||Unknown||Ko7||26||72||48||[[Cubic snub]]||[[Disdyakis dodecahedron]]
|[[Cuboctahedral truncate]]||Unknown||Ko7||26||72||48||[[Cubic snub]]||[[Disdyakis dodecahedron]]
|-
|-
-
|{{FLD|tright2|tline|tbar3|tline|tleft5|cright}}
+
|{{FLD|a2tright|tline|a3tbar|tline|a5tleft|cright}}
|[[Icosidodecahedral truncate]]||Unknown||Ki7||62||180||120||[[Dodecahedral snub]]||[[Disdyakis triacontahedron]]
|[[Icosidodecahedral truncate]]||Unknown||Ki7||62||180||120||[[Dodecahedral snub]]||[[Disdyakis triacontahedron]]
|-
|-
-
|{{FLD|a3|line|tbright|tbend|tbleft|end}}
+
|{{FLD|a3|line|adblright|enddblbar|adblleft|end}}
|[[Hexagonal semibipyramid]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]]
|[[Hexagonal semibipyramid]]||Unknown||Unknown||14||24||12||None||[[Trigonal expanded antitrapezohedron]]
|-
|-
-
|{{FLD|a4|line|tbright|tbend|tbleft|end}}
+
|{{FLD|a4|line|adblright|enddblbar|adblleft|end}}
|[[Octagonal semibipyramid]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]]
|[[Octagonal semibipyramid]]||Unknown||Unknown||18||32||16||None||[[Tetragonal expanded antitrapezohedron]]
|-
|-
-
|{{FLD|a5|line|tbright|tbend|tbleft|end}}
+
|{{FLD|a5|line|adblright|enddblbar|adblleft|end}}
|[[Decagonal semibipyramid]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]]
|[[Decagonal semibipyramid]]||Unknown||Unknown||22||40||20||None||[[Pentagonal expanded antitrapezohedron]]
|-
|-
-
|{{FLD|a3|line|tbright|tbempty|tbleft|line|diagright|diagend}}
+
|{{FLD|a3|line|adblright|dblbar|adblleft|line|adiagright|dbldiagend}}
|[[Endotrikis antiprism]]||Unknown||Unknown||10||15||7||None||[[Trigonal trapezosemipyramid]]
|[[Endotrikis antiprism]]||Unknown||Unknown||10||15||7||None||[[Trigonal trapezosemipyramid]]
|-
|-
-
|{{FLD|a4|line|tbright|tbempty|tbleft|line|diagright|diagend}}
+
|{{FLD|a4|line|adblright|dblbar|adblleft|line|adiagright|dbldiagend}}
|[[Endotetrakis antiprism]]||Unknown||Unknown||13||20||9||None||[[Tetragonal trapezosemipyramid]]
|[[Endotetrakis antiprism]]||Unknown||Unknown||13||20||9||None||[[Tetragonal trapezosemipyramid]]
|-
|-
-
|{{FLD|a5|line|tbright|tbempty|tbleft|line|diagright|diagend}}
+
|{{FLD|a5|line|adblright|dblbar|adblleft|line|adiagright|dbldiagend}}
|[[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 22:45, 5 November 2009

Facet layout Name Petrie order SSC2 Faces Edges Vertices Alternation Dual
(image) (image) No such file (image) (image) (image) (image) (image) (image) (image)
Tetrahedron4,0Kt1464NoneSelf-dual
(image) (image) No such file (image) (image) (image) (image) (image) (image) (image)
Octahedron6,0Ko48126NoneCube
(image) (image) No such file (image) (image) (image) (image) (image) (image) (image)
Icosahedron10,2Ki4203012NoneDodecahedron
(image) (image) No such file (image) (image) (image) (image) (image) (image) (image)
Cube6,2Ko16128TetrahedronOctahedron
(image) (image) No such file (image) (image) (image) (image) (image) (image) (image)
Dodecahedron10,10,0Ki1123020NoneIcosahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
CuboctahedronUnknownKo2142412NoneRhombic dodecahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
IcosidodecahedronUnknownKi2326030NoneRhombic triacontahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Triangular prismUnknown+G3596NoneTriangular bipyramid
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Tetrahedral truncateUnknownKt381812NoneTriakis tetrahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Cubic truncateUnknownKo3143624NoneTriakis octahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Dodecahedral truncateUnknownKi3329060NoneTriakis icosahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Octahedral truncateUnknownKo6143624IcosahedronTetrakis hexahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Pentagonal prismUnknown+G571510NonePentagonal bipyramid
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Icosahedral truncateUnknownKi6329060NonePentakis dodecahedron
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Hexagonal prismUnknown+G681812OctahedronHexagonal bipyramid
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Octagonal prismUnknown+G8102416Square antiprismOctagonal bipyramid
(image) (image) No such file (image) No such file (image) (image) (image) (image) (image)
Decagonal prismUnknown+G10123020Pentagonal antiprismDecagonal bipyramid
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Square pyramidUnknown&G4585NoneSelf-dual
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Square antiprismUnknownG4$H410168NoneTetragonal trapezohedron
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Pentagonal pyramidUnknown&G56106NoneSelf-dual
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Pentagonal antiprismUnknownG5$H5122010NonePentagonal trapezohedron
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Hexagonal pyramidUnknown&G67127NoneSelf-dual
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Hexagonal antiprismUnknownG6$H6162814NoneHexagonal trapezohedron
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Octagonal pyramidUnknown&G89169NoneSelf-dual
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Octagonal antiprismUnknownG8$H8203618NoneOctagonal trapezohedron
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Decagonal pyramidUnknown&G10112011NoneSelf-dual
(image) (image) No such file No such file No such file (image) (image) (image) (image) (image)
Decagonal antiprismUnknownG10$H10244422NoneDecagonal trapezohedron
(image) No such file No such file No such file No such file No such file (image) (image) (image) (image)
Trigonal expanded antitrapezohedronUnknownUnknown122414Endotrikis antiprismHexagonal semibipyramid
(image) No such file No such file No such file No such file No such file (image) (image) (image) (image)
Tetragonal expanded antitrapezohedronUnknownUnknown163218Endotetrakis antiprismOctagonal semibipyramid
(image) No such file No such file No such file No such file No such file (image) (image) (image) (image)
Pentagonal expanded antitrapezohedronUnknownUnknown204022Endopentakis antiprismDecagonal semibipyramid
(image) (image) No such file No such file No such file (image) No such file (image) (image) (image)
Cubic snubUnknownKo0386024NonePentagonal icositetrahedron
(image) (image) No such file No such file No such file (image) No such file (image) (image) (image)
Dodecahedral snubUnknownKi09215060NonePentagonal hexecontahedron
(image) (image) No such file (image) No such file (image) No such file (image) (image) (image)
Cuboctahedral rectateUnknownKo5264824NoneDeltoidal icositetrahedron
(image) (image) No such file (image) No such file (image) No such file (image) (image) (image)
Icosidodecahedral rectateUnknownKi56212060NoneDeltoidal hexecontahedron
(image) No such file No such file No such file No such file No such file No such file (image) (image) (image)
Cuboctahedral truncateUnknownKo7267248Cubic snubDisdyakis dodecahedron
(image) No such file No such file No such file No such file No such file No such file (image) (image) (image)
Icosidodecahedral truncateUnknownKi762180120Dodecahedral snubDisdyakis triacontahedron
(image) (image) No such file No such file No such file No such file No such file (image) (image) (image)
Hexagonal semibipyramidUnknownUnknown142412NoneTrigonal expanded antitrapezohedron
(image) (image) No such file No such file No such file No such file No such file (image) (image) (image)
Octagonal semibipyramidUnknownUnknown183216NoneTetragonal expanded antitrapezohedron
(image) (image) No such file No such file No such file No such file No such file (image) (image) (image)
Decagonal semibipyramidUnknownUnknown224020NonePentagonal expanded antitrapezohedron
(image) (image) No such file No such file No such file No such file No such file No such file No such file (image)
Endotrikis antiprismUnknownUnknown10157NoneTrigonal trapezosemipyramid
(image) (image) No such file No such file No such file No such file No such file No such file No such file (image)
Endotetrakis antiprismUnknownUnknown13209NoneTetragonal trapezosemipyramid
(image) (image) No such file No such file No such file No such file No such file No such file No such file (image)
Endopentakis antiprismUnknownUnknown162511NonePentagonal trapezosemipyramid