List of polyhedra by facet layout (Meta, 12)
From Hi.gher. Space
(Difference between revisions)
(redoing table) |
(redoing table) |
||
Line 33: | Line 33: | ||
|[[Icosahedron]]||Ki4 | |[[Icosahedron]]||Ki4 | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row2' | ||
|{{FLD|a3|i|a4|cr}} | |{{FLD|a3|i|a4|cr}} | ||
- | |[[Cuboctahedron]]||Ko2 | + | |[[Cuboctahedron]]||Ko2 |
- | |- | + | |14||24||12 |
+ | |[[Rhombic dodecahedron]] | ||
+ | |- class='row1' | ||
|{{FLD|a3|i|a5|cr}} | |{{FLD|a3|i|a5|cr}} | ||
- | |[[Icosidodecahedron]]||Ki2 | + | |[[Icosidodecahedron]]||Ki2 |
- | + | |32||60||30 | |
- | + | |[[Rhombic triacontahedron]] | |
- | + | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row2' | ||
|{{FLD|a3|i|a3|er}} | |{{FLD|a3|i|a3|er}} | ||
- | |[[Tetrahedral truncate]]||Kt3 | + | |[[Tetrahedral truncate]]||Kt3 |
- | |- | + | |8||18||12 |
+ | |[[Triakis tetrahedron]] | ||
+ | |- class='row1' | ||
|{{FLD|a3|i|a4|er}} | |{{FLD|a3|i|a4|er}} | ||
- | |[[Cubic truncate]]||Ko3 | + | |[[Cubic truncate]]||Ko3 |
- | |- | + | |14||36||24 |
+ | |[[Triakis octahedron]] | ||
+ | |- class='row2' | ||
|{{FLD|a3|i|a5|er}} | |{{FLD|a3|i|a5|er}} | ||
- | |[[Dodecahedral truncate]]||Ki3 | + | |[[Dodecahedral truncate]]||Ki3 |
- | |- | + | |32||90||60 |
+ | |[[Triakis icosahedron]] | ||
+ | |- class='row1' | ||
|{{FLD|a4|i|a3|er}} | |{{FLD|a4|i|a3|er}} | ||
- | |[[Octahedral truncate]]||Ko6 | + | |[[Octahedral truncate]]||Ko6 |
+ | |14||36||24 | ||
+ | |[[Tetrakis hexahedron]] | ||
+ | |- class='row2' | ||
+ | |{{FLD|a5|i|a3|er}} | ||
+ | |[[Icosahedral truncate]]||Ki6 | ||
+ | |32||90||60 | ||
+ | |[[Pentakis dodecahedron]] | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row1' | ||
+ | |{{FLD|a3|i|a2|er}} | ||
+ | |[[Triangular prism]]||+G3 | ||
+ | |5||9||6 | ||
+ | |[[Triangular bipyramid]] | ||
+ | |- class='row2' | ||
|{{FLD|a5|i|a2|er}} | |{{FLD|a5|i|a2|er}} | ||
- | |[[Pentagonal prism]]||+G5 | + | |[[Pentagonal prism]]||+G5 |
- | |- | + | |7||15||10 |
- | + | |[[Pentagonal bipyramid]] | |
- | + | |- class='row1' | |
- | + | ||
|{{FLD|a6|i|a2|er}} | |{{FLD|a6|i|a2|er}} | ||
- | |[[Hexagonal prism]]||+G6 | + | |[[Hexagonal prism]]||+G6 |
- | |- | + | |8||18||12 |
+ | |[[Hexagonal bipyramid]] | ||
+ | |- class='row2' | ||
|{{FLD|a8|i|a2|er}} | |{{FLD|a8|i|a2|er}} | ||
- | |[[Octagonal prism]]||+G8 | + | |[[Octagonal prism]]||+G8 |
- | |- | + | |10||24||16 |
+ | |[[Octagonal bipyramid]] | ||
+ | |- class='row1' | ||
|{{FLD|a10|i|a2|er}} | |{{FLD|a10|i|a2|er}} | ||
- | |[[Decagonal prism]]||+G10 | + | |[[Decagonal prism]]||+G10 |
+ | |12||30||20 | ||
+ | |[[Decagonal bipyramid]] | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row2' | ||
|{{FLD|a4|i|ade|cr|e4}} | |{{FLD|a4|i|ade|cr|e4}} | ||
- | |[[Square pyramid]]||&G4 | + | |[[Square pyramid]]||&G4 |
+ | |5||8||5 | ||
+ | |Self-dual | ||
+ | |- class='row1' | ||
+ | |{{FLD|a5|i|ade|cr|e5}} | ||
+ | |[[Pentagonal pyramid]]||&G5 | ||
+ | |6||10||6 | ||
+ | |Self-dual | ||
+ | |- class='row2' | ||
+ | |{{FLD|a6|i|ade|cr|e6}} | ||
+ | |[[Hexagonal pyramid]]||&G6 | ||
+ | |7||12||7 | ||
+ | |Self-dual | ||
+ | |- class='row1' | ||
+ | |{{FLD|a8|i|ade|cr|e8}} | ||
+ | |[[Octagonal pyramid]]||&G8 | ||
+ | |9||16||9 | ||
+ | |Self-dual | ||
+ | |- class='row2' | ||
+ | |{{FLD|a10|i|ade|cr|e10}} | ||
+ | |[[Decagonal pyramid]]||&G10 | ||
+ | |11||20||11 | ||
+ | |Self-dual | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row1' | ||
|{{FLD|a4|i|ade|cr|e8}} | |{{FLD|a4|i|ade|cr|e8}} | ||
- | |[[Square antiprism]]||G4$H4 | + | |[[Square antiprism]]||G4$H4 |
- | |- | + | |10||16||8 |
- | + | |[[Tetragonal trapezohedron]] | |
- | + | |- class='row2' | |
- | + | ||
|{{FLD|a5|i|ade|cr|e10}} | |{{FLD|a5|i|ade|cr|e10}} | ||
- | |[[Pentagonal antiprism]]||G5$H5 | + | |[[Pentagonal antiprism]]||G5$H5 |
- | |- | + | |12||20||10 |
- | + | |[[Pentagonal trapezohedron]] | |
- | + | |- class='row1' | |
- | + | ||
|{{FLD|a6|i|ade|cr|e12}} | |{{FLD|a6|i|ade|cr|e12}} | ||
- | |[[Hexagonal antiprism]]||G6$H6 | + | |[[Hexagonal antiprism]]||G6$H6 |
- | |- | + | |16||28||14 |
- | + | |[[Hexagonal trapezohedron]] | |
- | + | |- class='row2' | |
- | + | ||
|{{FLD|a8|i|ade|cr|e16}} | |{{FLD|a8|i|ade|cr|e16}} | ||
- | |[[Octagonal antiprism]]||G8$H8 | + | |[[Octagonal antiprism]]||G8$H8 |
- | |- | + | |20||36||18 |
- | + | |[[Octagonal trapezohedron]] | |
- | + | |- class='row1' | |
- | + | ||
|{{FLD|a10|i|ade|cr|e20}} | |{{FLD|a10|i|ade|cr|e20}} | ||
- | |[[Decagonal antiprism]]||G10$H10 | + | |[[Decagonal antiprism]]||G10$H10 |
+ | |24||44||22 | ||
+ | |[[Decagonal trapezohedron]] | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row2' | ||
|{{FLD|left=e3|dsel|aq|dsrmel|adl|er}} | |{{FLD|left=e3|dsel|aq|dsrmel|adl|er}} | ||
- | |[[Trigonal expanded antitrapezohedron]]||Unknown | + | |[[Trigonal expanded antitrapezohedron]]||Unknown |
- | |- | + | |12||24||14 |
+ | |{{FLD|a3|i|adr|edm|adl|er}} | ||
+ | |[[Triangular orthobicupola]]||Unknown | ||
+ | |- class='row1' | ||
|{{FLD|left=e4|dsel|aq|dsrmel|adl|er}} | |{{FLD|left=e4|dsel|aq|dsrmel|adl|er}} | ||
- | |[[Tetragonal expanded antitrapezohedron]]||Unknown | + | |[[Tetragonal expanded antitrapezohedron]]||Unknown |
- | |- | + | |16||32||18 |
+ | |{{FLD|a4|i|adr|edm|adl|er}} | ||
+ | |[[Square orthobicupola]]||Unknown | ||
+ | |- class='row2' | ||
|{{FLD|left=e5|dsel|aq|dsrmel|adl|er}} | |{{FLD|left=e5|dsel|aq|dsrmel|adl|er}} | ||
- | |[[Pentagonal expanded antitrapezohedron]]||Unknown | + | |[[Pentagonal expanded antitrapezohedron]]||Unknown |
+ | |20||40||22 | ||
+ | |{{FLD|a5|i|adr|edm|adl|er}} | ||
+ | |[[Pentagonal orthobicupola]]||Unknown | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row1' | ||
|{{FLD|a3|i|ate|i|a4|cr}} | |{{FLD|a3|i|ate|i|a4|cr}} | ||
- | |[[Cubic snub]]||Ko0 | + | |[[Cubic snub]]||Ko0 |
- | |- | + | |38||60||24 |
+ | |[[Pentagonal icositetrahedron]] | ||
+ | |- class='row2' | ||
|{{FLD|a3|i|ate|i|a5|cr}} | |{{FLD|a3|i|ate|i|a5|cr}} | ||
- | |[[Dodecahedral snub]]||Ki0 | + | |[[Dodecahedral snub]]||Ki0 |
+ | |92||150||60 | ||
+ | |[[Pentagonal hexecontahedron]] | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row1' | ||
|{{FLD|a3|i|a2|i|a4|cr}} | |{{FLD|a3|i|a2|i|a4|cr}} | ||
- | |[[Cuboctahedral rectate]]||Ko5 | + | |[[Cuboctahedral rectate]]||Ko5 |
- | |- | + | |26||48||24 |
+ | |[[Deltoidal icositetrahedron]] | ||
+ | |- class='row2' | ||
|{{FLD|a3|i|a2|i|a5|cr}} | |{{FLD|a3|i|a2|i|a5|cr}} | ||
- | |[[Icosidodecahedral rectate]]||Ki5 | + | |[[Icosidodecahedral rectate]]||Ki5 |
+ | |62||120||60 | ||
+ | |[[Deltoidal hexecontahedron]] | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row1' | ||
|{{FLD|a2tr|ti|a3tm|ti|a4tl|cr}} | |{{FLD|a2tr|ti|a3tm|ti|a4tl|cr}} | ||
- | |[[Cuboctahedral truncate]]||Ko7 | + | |[[Cuboctahedral truncate]]||Ko7 |
- | |- | + | |26||72||48 |
+ | |[[Disdyakis dodecahedron]] | ||
+ | |- class='row2' | ||
|{{FLD|a2tr|ti|a3tm|ti|a5tl|cr}} | |{{FLD|a2tr|ti|a3tm|ti|a5tl|cr}} | ||
- | |[[Icosidodecahedral truncate]]||Ki7 | + | |[[Icosidodecahedral truncate]]||Ki7 |
- | + | |62||180||120 | |
- | + | |[[Disdyakis triacontahedron]] | |
- | + | ||
- | + | ||
- | + | ||
- | + | ||
- | + | ||
- | + | ||
- | + | ||
|- | |- | ||
+ | |class='cat' colspan='9'| | ||
+ | |- class='row1' | ||
|{{FLD|a3|i|adr|dm|adl|i|asr|dser}} | |{{FLD|a3|i|adr|dm|adl|i|asr|dser}} | ||
- | |[[Endotrikis antiprism]]||Unknown | + | |[[Endotrikis antiprism]]||Unknown |
- | |- | + | |10||15||7 |
+ | |[[Trigonal trapezosemipyramid]] | ||
+ | |- class='row2' | ||
|{{FLD|a4|i|adr|dm|adl|i|asr|dser}} | |{{FLD|a4|i|adr|dm|adl|i|asr|dser}} | ||
- | |[[Endotetrakis antiprism]]||Unknown | + | |[[Endotetrakis antiprism]]||Unknown |
- | |- | + | |13||20||9 |
+ | |[[Tetragonal trapezosemipyramid]] | ||
+ | |- class='row1' | ||
|{{FLD|a5|i|adr|dm|adl|i|asr|dser}} | |{{FLD|a5|i|adr|dm|adl|i|asr|dser}} | ||
- | |[[Endopentakis antiprism]]||Unknown | + | |[[Endopentakis antiprism]]||Unknown |
+ | |16||25||11 | ||
+ | |[[Pentagonal trapezosemipyramid]] | ||
|} | |} | ||
[[Category:Trishapes|$]] | [[Category:Trishapes|$]] |