User:Tomruen/List of uniform polyhedra and tilings2
From Wikipedia, the free encyclopedia
See: User:Tomruen/polyhedron db testing
Contents |
[edit] Triples
Name | Picture | Wythoff symbol |
Vertex figure | Bowers-style acronym |
Sym. grp |
W# | U# | K# | V | E | F | χ | Faces by type | Dual |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Tetrahedron | ![]() |
3 | 2 3 | ![]() 3.3.3 |
Tet | Td | W1 | U01 | K06 | 4 | 6 | 4 | 2 | 4{3} | ![]() Self-dual |
Triangular prism | ![]() |
2 3 | 2 | ![]() 4.4.3 |
Trip | D3h | W-- | U76(a) | K01(a) | 6 | 9 | 5 | 2 | 3{4}+2{3} | ![]() Triangular dipyramid |
Truncated tetrahedron | ![]() |
2 3 | 3 | ![]() 3.6.6 |
Tut | Td | W6 | U02 | K07 | 12 | 18 | 8 | 2 | 4{3}+4{6} | ![]() Triakis tetrahedron |
Truncated cube | ![]() |
2 3 | 4 | ![]() 3.8.8 |
Tic | Oh | W8 | U09 | K14 | 24 | 36 | 14 | 2 | 8{3}+6{8} | ![]() Triakis octahedron |
Truncated dodecahedron | ![]() |
2 3 | 5 | ![]() 3.10.10 |
Tid | Ih | W10 | U26 | K31 | 60 | 90 | 32 | 2 | 20{3}+12{10} | ![]() Triakis icosahedron |
Hexahedron | ![]() |
3 | 2 4 | ![]() 4.4.4 |
Cube | Oh | W3 | U06 | K11 | 8 | 12 | 6 | 2 | 6{4} | ![]() Octahedron |
Cube | ![]() |
2 4 | 2 | ![]() 4.4.4 |
Cube | D4h | W-- | U76(b) | K01(b) | 8 | 12 | 6 | 2 | 4{4}+2{4} | ![]() Octahedron |
Pentagonal prism | ![]() |
2 5 | 2 | ![]() 4.4.5 |
Pip | D5h | W-- | U76(c) | K01(c) | 10 | 15 | 7 | 2 | 5{4}+2{5} | ![]() Pentagonal dipyramid |
Hexagonal prism | ![]() |
2 6 | 2 | ![]() 4.4.6 |
Hip | D6h | W-- | U76(d) | K01(d) | 12 | 18 | 8 | 2 | 6{4}+2{6} | ![]() Hexagonal dipyramid |
Octagonal prism | ![]() |
2 8 | 2 | ![]() 4.4.8 |
Op | D8h | W-- | U76(e) | K01(e) | 16 | 24 | 10 | 2 | 8{4}+2{8} | ![]() Octagonal dipyramid |
Decagonal prism | ![]() |
2 10 | 2 | ![]() 4.4.10 |
Dip | D10h | W-- | U76(g) | K01(g) | 20 | 30 | 12 | 2 | 10{4}+2{10} | ![]() Decagonal dipyramid |
Dodecagonal prism | ![]() |
2 12 | 2 | ![]() 4.4.12 |
Twip | D12h | W-- | U76(i) | K01(i) | 24 | 36 | 14 | 2 | 12{4}+2{12} | Image:Dodecagonal dipyramid.png Dodecagonal dipyramid |
Truncated octahedron | ![]() |
2 4 | 3 | ![]() 4.6.6 |
Toe | Oh | W7 | U08 | K13 | 24 | 36 | 14 | 2 | 6{4}+8{6} | ![]() Tetrakis hexahedron |
Great rhombicuboctahedron | ![]() |
2 3 4 | | ![]() 4.6.8 |
Girco | Oh | W15 | U11 | K16 | 48 | 72 | 26 | 2 | 12{4}+8{6}+6{8} | ![]() Disdyakis dodecahedron |
Great rhombicosidodecahedron | ![]() |
2 3 5 | | ![]() 4.6.10 |
Grid | Ih | W16 | U28 | K33 | 120 | 180 | 62 | 2 | 30{4}+20{6}+12{10} | ![]() Disdyakis triacontahedron |
Dodecahedron | ![]() |
3 | 2 5 | ![]() 5.5.5 |
Doe | Ih | W5 | U23 | K28 | 20 | 30 | 12 | 2 | 12{5} | ![]() Icosahedron |
Truncated icosahedron | ![]() |
2 5 | 3 | ![]() 5.6.6 |
Ti | Ih | W9 | U25 | K30 | 60 | 90 | 32 | 2 | 12{5}+20{6} | ![]() Pentakis dodecahedron |
[edit] Quadruples
Name | Picture | Wythoff symbol |
Vertex figure | Bowers-style acronym |
Sym. grp |
W# | U# | K# | V | E | F | χ | Faces by type | Dual |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Octahedron | ![]() |
4 | 2 3 | ![]() 3.3.3.3 |
Oct | Oh | W2 | U05 | K10 | 6 | 12 | 8 | 2 | 8{3} | ![]() Cube |
Triangular antiprism | ![]() |
| 2 2 3 | ![]() 3.3.3.3 |
Oct | D3d | W-- | U77(a) | K02(a) | 6 | 12 | 8 | 2 | 6{3}+2{3} | ![]() Trigonal trapezohedron |
Square antiprism | ![]() |
| 2 2 4 | ![]() 3.3.3.4 |
Squap | D4d | W-- | U77(b) | K02(b) | 8 | 16 | 10 | 2 | 8{3}+2{4} | ![]() Tetragonal trapezohedron |
Pentagonal antiprism | ![]() |
| 2 2 5 | ![]() 3.3.3.5 |
Pap | D5d | W-- | U77(c) | K02(c) | 10 | 20 | 12 | 2 | 10{3}+2{5} | ![]() Pentagonal trapezohedron |
Hexagonal antiprism | ![]() |
| 2 2 6 | ![]() 3.3.3.6 |
Hap | D6d | W-- | U77(d) | K02(d) | 12 | 24 | 14 | 2 | 12{3}+2{6} | ![]() Hexagonal trapezohedron |
Octagonal antiprism | ![]() |
| 2 2 8 | ![]() 3.3.3.8 |
Oap | D8d | W-- | U77(f) | K02(f) | 16 | 32 | 18 | 2 | 16{3}+2{8} | ![]() Octagonal trapezohedron |
Decagonal antiprism | ![]() |
| 2 2 10 | ![]() 3.3.3.10 |
Ennap | D10d | W-- | U77(g) | K02(g) | 20 | 40 | 22 | 2 | 20{3}+2{10} | ![]() Decagonal trapezohedron |
Dodecagonal antiprism | ![]() |
| 2 2 12 | ![]() 3.3.3.12 |
Twap | D12d | W-- | U77(h) | K02(h) | 24 | 48 | 26 | 2 | 24{3}+2{12} | Image:Dodecagonal trapezohedron.png Dodecagonal trapezohedron |
Cuboctahedron | ![]() |
2 | 3 4 | ![]() 3.4.3.4 |
Co | Oh | W11 | U07 | K12 | 12 | 24 | 14 | 2 | 8{3}+6{4} | ![]() Rhombic dodecahedron |
Small rhombicuboctahedron | ![]() |
3 4 | 2 | ![]() 3.4.4.4 |
Sirco | Oh | W13 | U10 | K15 | 24 | 48 | 26 | 2 | 8{3}+(6+12){4} | ![]() Deltoidal icositetrahedron |
Small rhombicosidodecahedron | ![]() |
3 5 | 2 | ![]() 3.4.5.4 |
Srid | Ih | W14 | U27 | K32 | 60 | 120 | 62 | 2 | 20{3}+30{4}+12{5} | ![]() Deltoidal hexecontahedron |
Icosidodecahedron | ![]() |
2 | 3 5 | ![]() 3.5.3.5 |
Id | Ih | W12 | U24 | K29 | 30 | 60 | 32 | 2 | 20{3}+12{5} | ![]() Rhombic triacontahedron |
[edit] Pentuples
Name | Picture | Wythoff symbol |
Vertex figure | Bowers-style acronym |
Sym. grp |
W# | U# | K# | V | E | F | χ | Faces by type | Dual |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Icosahedron | ![]() |
5 | 2 3 | ![]() 3.3.3.3.3 |
Ike | Ih | W4 | U22 | K27 | 12 | 30 | 20 | 2 | 20{3} | ![]() Dodecahedron |
Snub cube | ![]() |
| 2 3 4 | ![]() 3.3.3.3.4 |
Snic | O | W17 | U12 | K17 | 24 | 60 | 38 | 2 | (8+24){3}+6{4} | ![]() Pentagonal icositetrahedron |
Snub dodecahedron | ![]() |
| 2 3 5 | ![]() 3.3.3.3.5 |
Snid | I | W18 | U29 | K34 | 60 | 150 | 92 | 2 | (20+60){3}+12{5} | ![]() Pentagonal hexecontahedron |
[edit] Nonconvex regulars
Name | Picture | Wythoff symbol |
Vertex figure | Bowers-style acronym |
Sym. grp |
W# | U# | K# | V | E | F | χ | Faces by type | Dual |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Great dodecahedron | ![]() |
5/2 | 2 5 | ![]() (55)/2 |
Gad | Ih | W21 | U35 | K40 | 12 | 30 | 12 | -6 | 12{5} | ![]() Small stellated dodecahedron |
Small stellated dodecahedron | ![]() |
5 | 25/2 | ![]() (5/2)5 |
Sissid | Ih | W20 | U34 | K39 | 12 | 30 | 12 | -6 | 12{5/2} | ![]() Great dodecahedron |
Great icosahedron | ![]() |
5/2 | 2 3 | ![]() (35)/2 |
Gike | Ih | W41 | U53 | K58 | 12 | 30 | 20 | 2 | 20{3} | ![]() Great stellated dodecahedron |
Great stellated dodecahedron | ![]() |
3 | 25/2 | ![]() (5/2)3 |
Gissid | Ih | W22 | U52 | K57 | 20 | 30 | 12 | 2 | 12{5/2} | ![]() Great icosahedron |
[edit] Nonconvex star prisms
Name | Picture | Wythoff symbol |
Vertex figure | Bowers-style acronym |
Sym. grp |
W# | U# | K# | V | E | F | χ | Faces by type | Dual |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Pentagrammic prism | ![]() |
2 5/2 | 2 | ![]() 4.4.5/2 |
Stip | D5h | W-- | U78(a) | K03(a) | 10 | 15 | 7 | 2 | 5{4}+2{5/2} | Image:Pentagrammic dipyramid.png Pentagrammic dipyramid |
Pentagrammic antiprism | ![]() |
| 2 2 5/2 | ![]() 3.3.3.5/2 |
Stap | D5d | W-- | U79(a) | K04(a) | 10 | 20 | 12 | 2 | 10{3}+2{5/2} | Image:Pentagrammic trapezohedron.png Pentagrammic trapezohedron |
Pentagrammic crossed-antiprism | ![]() |
| 2 2 5/3 | ![]() 3.3.3.5/3 |
Starp | D5d | W-- | U80(a) | K05(a) | 10 | 20 | 12 | 2 | 10{3}+2{5/2} | Image:Pentagrammic concave trapezohedron.png Pentagrammic concave trapezohedron |
[edit] Nonconvex stars by uniform index
Name | Picture | Wythoff symbol |
Vertex figure | Bowers-style acronym |
Sym. grp |
W# | U# | K# | V | E | F | χ | Faces by type | Dual |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Octahemioctahedron | ![]() |
3/23 | 3 | ![]() 3.6.3/2.6 |
Oho | Oh | W68 | U03 | K08 | 12 | 24 | 12 | 0 | 8{3}+4{6} | ![]() Octahemioctacron |
Tetrahemihexahedron | ![]() |
3/23 | 2 | ![]() 3.4.3/2.4 |
Thah | Td | W67 | U04 | K09 | 6 | 12 | 7 | 1 | 4{3}+3{4} | ![]() Tetrahemihexacron |
Small cubicuboctahedron | ![]() |
3/24 | 4 | ![]() 4.8.3/2.8 |
Socco | Oh | W69 | U13 | K18 | 24 | 48 | 20 | -4 | 8{3}+6{4}+6{8} | ![]() Small hexacronic icositetrahedron |
Great cubicuboctahedron | ![]() |
3 4 | 4/3 | ![]() 3.8/3.4.8/3 |
Gocco | Oh | W77 | U14 | K19 | 24 | 48 | 20 | -4 | 8{3}+6{4}+6{8/3} | ![]() Great hexacronic icositetrahedron |
Cubohemioctahedron | ![]() |
4/34 | 3 | ![]() 4.6.4/3.6 |
Cho | Oh | W78 | U15 | K20 | 12 | 24 | 10 | -2 | 6{4}+4{6} | ![]() Hexahemioctacron |
Cubitruncated cuboctahedron | ![]() |
3 44/3 | | ![]() 6.8.8/3 |
Cotco | Oh | W79 | U16 | K21 | 48 | 72 | 20 | -4 | 8{6}+6{8}+6{8/3} | ![]() Tetradyakis hexahedron |
Uniform great rhombicuboctahedron | ![]() |
3/24 | 2 | ![]() 4.4.4.3/2 |
Querco | Oh | W85 | U17 | K22 | 24 | 48 | 26 | 2 | 8{3}+(6+12){4} | ![]() Great deltoidal icositetrahedron |
Small rhombihexahedron | ![]() |
2 4 (3/2 4/2) | | ![]() 4.8.4/3.8 |
Sroh | Oh | W86 | U18 | K23 | 24 | 48 | 18 | -6 | 12{4}+6{8} | ![]() Small rhombihexacron |
Stellated truncated hexahedron | ![]() |
2 3 | 4/3 | ![]() 3.8/3.8/3 |
Quith | Oh | W92 | U19 | K24 | 24 | 36 | 14 | 2 | 8{3}+6{8/3} | ![]() Great triakis octahedron |
Great truncated cuboctahedron | ![]() |
2 34/3 | | ![]() 4.6.8/3 |
Quitco | Oh | W93 | U20 | K25 | 48 | 72 | 26 | 2 | 12{4}+8{6}+6{8/3} | ![]() Great disdyakis dodecahedron |
Great rhombihexahedron | ![]() |
2 4/3 (3/2 4/2) | | ![]() 4.8/3.4/3.8/5 |
Groh | Oh | W103 | U21 | K26 | 24 | 48 | 18 | -6 | 12{4}+6{8/3} | ![]() Great rhombihexacron |
Small ditrigonal icosidodecahedron | ![]() |
3 | 5/23 | ![]() (3.5/2)3 |
Sidtid | Ih | W70 | U30 | K35 | 20 | 60 | 32 | -8 | 20{3}+12{5/2} | ![]() Small triambic icosahedron |
Small icosicosidodecahedron | ![]() |
5/2 3 | 3 | ![]() 6.5/2.6.3 |
Siid | Ih | W71 | U31 | K36 | 60 | 120 | 52 | -8 | 20{3}+12{5/2}+20{6} | ![]() Small icosacronic hexacontahedron |
Small snub icosicosidodecahedron | ![]() |
|5/2 3 3 | ![]() 35.5/2 |
Seside | Ih | W110 | U32 | K37 | 60 | 180 | 112 | -8 | (40+60){3}+12{5/2} | ![]() Small hexagonal hexecontahedron |
Small dodecicosidodecahedron | ![]() |
3/25 | 5 | ![]() 5.10.3/2.10 |
Saddid | Ih | W72 | U33 | K38 | 60 | 120 | 44 | -16 | 20{3}+12{5}+12{10} | ![]() Small dodecacronic hexecontahedron |
Dodecadodecahedron | ![]() |
2 | 5 5/2 | ![]() 5.5/2.5.5/2 |
Did | Ih | W73 | U36 | K41 | 30 | 60 | 24 | -6 | 12{5}+12{5/2} | ![]() Medial rhombic triacontahedron |
Truncated great dodecahedron | ![]() |
25/2 | 5 | ![]() 10.10.5/2 |
Tigid | Ih | W75 | U37 | K42 | 60 | 90 | 24 | -6 | 12{5/2}+12{10} | ![]() Small stellapentakis dodecahedron |
Rhombidodecadodecahedron | ![]() |
5/2 5 | 2 | ![]() 4.5/2.4.5 |
Raded | Ih | W76 | U38 | K43 | 60 | 120 | 54 | -6 | 30{4}+12{5}+12{5/2} | ![]() Medial deltoidal hexecontahedron |
Small rhombidodecahedron | ![]() |
2 5 (3/2 5/2) | | ![]() 4.10.4/3.10/9 |
Sird | Ih | W74 | U39 | K44 | 60 | 120 | 42 | -18 | 30{4}+12{10} | ![]() Small rhombidodecacron |
Snub dodecadodecahedron | ![]() |
|2 5/2 5 | ![]() 3.3.5/2.3.5 |
Siddid | I | W111 | U40 | K45 | 60 | 150 | 84 | -6 | 60{3}+12{5}+12{5/2} | ![]() Medial pentagonal hexecontahedron |
Ditrigonal dodecadodecahedron | ![]() |
3 | 5/35 | ![]() (5.5/3)3 |
Ditdid | Ih | W80 | U41 | K46 | 20 | 60 | 24 | -16 | 12{5}+12{5/2} | ![]() Medial triambic icosahedron |
Great ditrigonal dodecicosidodecahedron | ![]() |
3 5 | 5/3 | ![]() 3.10/3.5.10/3 |
Gidditdid | Ih | W81 | U42 | K47 | 60 | 120 | 44 | -16 | 20{3}+12{5}+12{10/3} | ![]() Great ditrigonal dodecacronic hexecontahedron |
Small ditrigonal dodecicosidodecahedron | ![]() |
5/33 | 5 | ![]() 3.10.5/3.10 |
Sidditdid | Ih | W82 | U43 | K48 | 60 | 120 | 44 | -16 | 20{3}+12{5/2}+12{10} | ![]() Small ditrigonal dodecacronic hexecontahedron |
Icosidodecadodecahedron | ![]() |
5/35 | 3 | ![]() 5.6.5/3.6 |
Ided | Ih | W83 | U44 | K49 | 60 | 120 | 44 | -16 | 12{5}+12{5/2}+20{6} | ![]() Medial icosacronic hexecontahedron |
Icositruncated dodecadodecahedron | ![]() |
3 55/3 | | ![]() 6.10.10/3 |
Idtid | Ih | W84 | U45 | K50 | 120 | 180 | 44 | -16 | 20{6}+12{10}+12{10/3} | ![]() Tridyakis icosahedron |
Snub icosidodecadodecahedron | ![]() |
|5/3 3 5 | ![]() 3.3.3.5.3.5/3 |
Sided | I | W112 | U46 | K51 | 60 | 180 | 104 | -16 | (20+60){3}+12{5}+12{5/2} | ![]() Medial hexagonal hexecontahedron |
Great ditrigonal icosidodecahedron | ![]() |
3/2 | 3 5 | ![]() ((3.5)3)/2 |
Gidtid | Ih | W87 | U47 | K52 | 20 | 60 | 32 | -8 | 20{3}+12{5} | ![]() Great triambic icosahedron |
Great icosicosidodecahedron | ![]() |
3/25 | 3 | ![]() 5.6.3/2.6 |
Giid | Ih | W88 | U48 | K53 | 60 | 120 | 52 | -8 | 20{3}+12{5}+20{6} | ![]() Great icosacronic hexecontahedron |
Small icosihemidodecahedron | ![]() |
3/23 | 5 | ![]() 3.10.3/2.10 |
Seihid | Ih | W89 | U49 | K54 | 30 | 60 | 26 | -4 | 20{3}+6{10} | ![]() Small icosihemidodecacron |
Small dodecicosahedron | ![]() |
3 5 (3/2 5/4) | | ![]() 6.10.6/5.10/9 |
Siddy | Ih | W90 | U50 | K55 | 60 | 120 | 32 | -28 | 20{6}+12{10} | ![]() Small dodecicosacron |
Small dodecahemidodecahedron | ![]() |
5/45 | 5 | ![]() 5.10.5/4.10 |
Sidhid | Ih | W91 | U51 | K56 | 30 | 60 | 18 | -12 | 12{5}+6{10} | ![]() Small dodecahemidodecacron |
Great icosidodecahedron | ![]() |
2 | 3 5/2 | ![]() 3.5/2.3.5/2 |
Gid | Ih | W94 | U54 | K59 | 30 | 60 | 32 | 2 | 20{3}+12{5/2} | ![]() Great rhombic triacontahedron |
Truncated great icosahedron | ![]() |
25/2 | 3 | ![]() 6.6.5/2 |
Tiggy | Ih | W95 | U55 | K60 | 60 | 90 | 32 | 2 | 12{5/2}+20{6} | ![]() Great stellapentakis dodecahedron |
Rhombicosahedron | ![]() |
2 3 (5/4 5/2) | | ![]() 4.6.4/3.6/5 |
Ri | Ih | W96 | U56 | K61 | 60 | 120 | 50 | -10 | 30{4}+20{6} | ![]() Rhombicosacron |
Great snub icosidodecahedron | ![]() |
|2 5/2 3 | ![]() 34.5/2 |
Gosid | I | W116 | U57 | K62 | 60 | 150 | 92 | 2 | (20+60){3}+12{5/2} | ![]() Great pentagonal hexecontahedron |
Small stellated truncated dodecahedron | ![]() |
2 5 | 5/3 | ![]() 5.10/3.10/3 |
Quitsissid | Ih | W97 | U58 | K63 | 60 | 90 | 24 | -6 | 12{5}+12{10/3} | ![]() Great pentakis dodecahedron |
Truncated dodecadodecahedron | ![]() |
2 55/3 | | ![]() 4.10.10/3 |
Quitdid | Ih | W98 | U59 | K64 | 120 | 180 | 54 | -6 | 30{4}+12{10}+12{10/3} | ![]() Medial disdyakis triacontahedron |
Inverted snub dodecadodecahedron | ![]() |
|5/3 2 5 | ![]() 3.3.5.3.5/3 |
Isdid | I | W114 | U60 | K65 | 60 | 150 | 84 | -6 | 60{3}+12{5}+12{5/2} | ![]() Medial inverted pentagonal hexecontahedron |
Great dodecicosidodecahedron | ![]() |
5/2 3 | 5/3 | ![]() 3.10/3.6/5.10/7 |
Gaddid | Ih | W99 | U61 | K66 | 60 | 120 | 44 | -16 | 20{3}+12{5/2}+12{10/3} | ![]() Great dodecacronic hexecontahedron |
Small dodecahemicosahedron | ![]() |
5/35/2 | 3 | ![]() 6.5/2.6.5/3 |
Sidhei | Ih | W100 | U62 | K67 | 30 | 60 | 22 | -8 | 12{5/2}+10{6} | ![]() Small dodecahemicosacron |
Great dodecicosahedron | ![]() |
3 5/3 (3/2 5/2) | | ![]() 6.10/3.6/5.10/7 |
Giddy | Ih | W101 | U63 | K68 | 60 | 120 | 32 | -28 | 20{6}+12{10/3} | ![]() Great dodecicosacron |
Great snub dodecicosidodecahedron | ![]() |
| 5/3 5/2 3 | ![]() 3.3.3.5/2.3.5/3 |
Gisdid | I | W115 | U64 | K69 | 60 | 180 | 104 | -16 | (20+60){3}+(12+12){5/2} | ![]() Great hexagonal hexecontahedron |
Great dodecahemicosahedron | ![]() |
5/45 | 3 | ![]() 5.6.5/4.6 |
Gidhei | Ih | W102 | U65 | K70 | 30 | 60 | 22 | -8 | 12{5}+10{6} | ![]() Great dodecahemicosacron |
Great stellated truncated dodecahedron | ![]() |
2 3 | 5/3 | ![]() 3.10/3.10/3 |
Quitgissid | Ih | W104 | U66 | K71 | 60 | 90 | 32 | 2 | 20{3}+12{10/3} | ![]() Great triakis icosahedron |
Uniform great rhombicosidodecahedron | ![]() |
5/33 | 2 | ![]() 3.4.5/3.4 |
Qrid | Ih | W105 | U67 | K72 | 60 | 120 | 62 | 2 | 20{3}+30{4}+12{5/2} | ![]() Great deltoidal hexecontahedron |
Great truncated icosidodecahedron | ![]() |
2 35/3 | | ![]() 4.6.10/3 |
Gaquatid | Ih | W108 | U68 | K73 | 120 | 180 | 62 | 2 | 30{4}+20{6}+12{10/3} | ![]() Great disdyakis triacontahedron |
Great inverted snub icosidodecahedron | ![]() |
|5/3 2 3 | ![]() 34.5/3 |
Gisid | I | W113 | U69 | K74 | 60 | 150 | 92 | 2 | (20+60){3}+12{5/2} | ![]() Great inverted pentagonal hexecontahedron |
Great dodecahemidodecahedron | ![]() |
5/35/2 | 5/3 | ![]() 5/2.10/3.5/3.10/3 |
Gidhid | Ih | W107 | U70 | K75 | 30 | 60 | 18 | -12 | 12{5/2}+6{10/3} | ![]() Great dodecahemidodecracon |
Great icosihemidodecahedron | ![]() |
3 3 | 5/3 | ![]() 3.10/3.3.10/3 |
Geihid | Ih | W106 | U71 | K76 | 30 | 60 | 26 | -4 | 20{3}+6{10/3} | ![]() Great icosihemidodecacron |
Small retrosnub icosicosidodecahedron | ![]() |
|3/2 3/2 5/2 | ![]() (35.5/3)/2 |
Sirsid | Ih | W118 | U72 | K77 | 60 | 180 | 112 | -8 | (40+60){3}+12{5/2} | ![]() Small hexagrammic hexecontahedron |
Great rhombidodecahedron | ![]() |
2 5/3 (3/2 5/4) | | ![]() 4.10/3.4/3.10/7 |
Gird | Ih | W109 | U73 | K78 | 60 | 120 | 42 | -18 | 30{4}+12{10/3} | ![]() Great rhombidodecacron |
Great retrosnub icosidodecahedron | ![]() |
|3/2 5/3 2 | ![]() (34.5/2)/2 |
Girsid | I | W117 | U74 | K79 | 60 | 150 | 92 | 2 | (20+60){3}+12{5/2} | ![]() Great pentagrammic hexecontahedron |
Great dirhombicosidodecahedron | ![]() |
|3/2 5/3 3 5/2 | ![]() (4.5/3.4.3.4. 5/2.4.3/2)/2 |
Gidrid | Ih | W119 | U75 | K80 | 60 | 240 | 124 | -56 | 40{3}+60{4}+24{5/2} | ![]() Great dirhombicosadodecacron
|