User:Tomruen/List of uniform polyhedra and tilings
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See: User:Tomruen/polyhedron db testing
Contents |
[edit] Convex regulars
| U01 | T:Tet 3 | 2 3
|
Tetrahedron 3.3.3 4{3} |
F=4 E=6 V=4 |
Td | W1 K06 C15 |
  |
|
Dual:Self-dual |
| U05 | O:Oct 4 | 2 3
|
Octahedron 3.3.3.3 8{3} |
F=8 E=12 V=6 |
Oh | W2 K10 C17 |
  |
 |
Dual:Cube |
| U06 | C:Cube 3 | 2 4
|
Hexahedron 4.4.4 6{4} |
F=6 E=12 V=8 |
Oh | W3 K11 C18 |
 |
|
Dual:Octahedron |
| U22 | I:Ike 5 | 2 3
|
Icosahedron 3.3.3.3.3 20{3} |
F=20 E=30 V=12 |
Ih | W4 K27 C25 |
  |
 |
Dual:Dodecahedron |
| U23 | D:Doe 3 | 2 5
|
Dodecahedron 5.5.5 12{5} |
F=12 E=30 V=20 |
Ih | W5 K28 C26 |
 |
|
Dual:Icosahedron |
[edit] Nonconvex regulars
| U35 | gD:Gad 5/2 | 2 5
|
Great dodecahedron (55)/2 12{5} |
F=12 E=30 V=12 |
Ih | W21 K40 C44 |
  |
 |
Dual:Small stellated dodecahedron |
| U34 | lsD:Sissid 5 | 25/2
|
Small stellated dodecahedron (5/2)5 12{5/2} |
F=12 E=30 V=12 |
Ih | W20 K39 C43 |
 |
|
Dual:Great dodecahedron |
| U53 | gI:Gike 5/2 | 2 3
|
Great icosahedron (35)/2 20{3} |
F=20 E=30 V=12 |
Ih | W41 K58 C69 |
  |
 |
Dual:Great stellated dodecahedron |
| U52 | gsD:Gissid 3 | 25/2
|
Great stellated dodecahedron (5/2)3 12{5/2} |
F=12 E=30 V=20 |
Ih | W22 K57 C68 |
 |
|
Dual:Great icosahedron |
[edit] Semiregulars
| U02 | tT:Tut 2 3 | 3
|
Truncated tetrahedron 3.6.6 4{3}+4{6} |
F=8 E=18 V=12 |
Td | W6 K07 C16 |
  |
 |
Dual:Triakis tetrahedron |
| U08 | tO:Toe 2 4 | 3
|
Truncated octahedron 4.6.6 6{4}+8{6} |
F=14 E=36 V=24 |
Oh | W7 K13 C20 |
  |
 |
Dual:Tetrakis hexahedron |
| U09 | tC:Tic 2 3 | 4
|
Truncated cube 3.8.8 8{3}+6{8} |
F=14 E=36 V=24 |
Oh | W8 K14 C21 |
  |
 |
Dual:Triakis octahedron |
| U25 | tI:Ti 2 5 | 3
|
Truncated icosahedron 5.6.6 12{5}+20{6} |
F=32 E=90 V=60 |
Ih | W9 K30 C27 |
  |
 |
Dual:Pentakis dodecahedron |
| U26 | tD:Tid 2 3 | 5
|
Truncated dodecahedron 3.10.10 20{3}+12{10} |
F=32 E=90 V=60 |
Ih | W10 K31 C29 |
  |
 |
Dual:Triakis icosahedron |
| U07 | CO:Co 2 | 3 4
|
Cuboctahedron 3.4.3.4 8{3}+6{4} |
F=14 E=24 V=12 |
Oh | W11 K12 C19 |
  |
 |
Dual:Rhombic dodecahedron |
| U24 | ID:Id 2 | 3 5
|
Icosidodecahedron 3.5.3.5 20{3}+12{5} |
F=32 E=60 V=30 |
Ih | W12 K29 C28 |
  |
 |
Dual:Rhombic triacontahedron |
| U10 | lrCO:Sirco 3 4 | 2
|
Small rhombicuboctahedron 3.4.4.4 8{3}+(6+12){4} |
F=26 E=48 V=24 |
Oh | W13 K15 C22 |
  |
 |
Dual:Deltoidal icositetrahedron |
| U27 | lrID:Srid 3 5 | 2
|
Small rhombicosidodecahedron 3.4.5.4 20{3}+30{4}+12{5} |
F=62 E=120 V=60 |
Ih | W14 K32 C30 |
  |
 |
Dual:Deltoidal hexecontahedron |
| U11 | grCO:Girco 2 3 4 |
|
Great rhombicuboctahedron 4.6.8 12{4}+8{6}+6{8} |
F=26 E=72 V=48 |
Oh | W15 K16 C23 |
  |
 |
Dual:Disdyakis dodecahedron |
| U28 | grID:Grid 2 3 5 |
|
Great rhombicosidodecahedron 4.6.10 30{4}+20{6}+12{10} |
F=62 E=180 V=120 |
Ih | W16 K33 C31 |
  |
 |
Dual:Disdyakis triacontahedron |
| U12 | nCO:Snic | 2 3 4
|
Snub cube 3.3.3.3.4 (8+24){3}+6{4} |
F=38 E=60 V=24 |
O | W17 K17 C24 |
  |
 |
Dual:Pentagonal icositetrahedron |
| U29 | nID:Snid | 2 3 5
|
Snub dodecahedron 3.3.3.3.5 (20+60){3}+12{5} |
F=92 E=150 V=60 |
I | W18 K34 C32 |
  |
 |
Dual:Pentagonal hexecontahedron |
[edit] Nonconvex
| U03 | OhO:Oho 3/23 | 3 {{{OhO-CD}}} |
Octahemioctahedron 3.6.3/2.6 8{3}+4{6} |
F=12 E=24 V=12 |
Oh | W68 K08 C37 |
  |
 |
Dual:Octahemioctacron |
| U04 | ThH:Thah 3/23 | 2 {{{ThH-CD}}} |
Tetrahemihexahedron 3.4.3/2.4 4{3}+3{4} |
F=7 E=12 V=6 |
Td | W67 K09 C36 |
  |
|
Dual:Tetrahemihexacron |
| U13 | lCCO:Socco 3/24 | 4 {{{lCCO-CD}}} |
Small cubicuboctahedron 4.8.3/2.8 8{3}+6{4}+6{8} |
F=20 E=48 V=24 |
Oh | W69 K18 C38 |
  |
 |
Dual:Small hexacronic icositetrahedron |
| U14 | gCCO:Gocco 3 4 | 4/3 {{{gCCO-CD}}} |
Great cubicuboctahedron 3.8/3.4.8/3 8{3}+6{4}+6{8/3} |
F=20 E=48 V=24 |
Oh | W77 K19 C50 |
  |
 |
Dual:Great hexacronic icositetrahedron |
| U15 | ChO:Cho 4/34 | 3 {{{ChO-CD}}} |
Cubohemioctahedron 4.6.4/3.6 6{4}+4{6} |
F=10 E=24 V=12 |
Oh | W78 K20 C51 |
  |
|
Dual:Hexahemioctacron |
| U16 | ctCO:Cotco 3 44/3 | {{{ctCO-CD}}} |
Cubitruncated cuboctahedron 6.8.8/3 8{6}+6{8}+6{8/3} |
F=20 E=72 V=48 |
Oh | W79 K21 C52 |
  |
 |
Dual:Tetradyakis hexahedron |
| U17 | ugrCO:Querco 3/24 | 2 {{{ugrCO-CD}}} |
Uniform great rhombicuboctahedron 4.4.4.3/2 8{3}+(6+12){4} |
F=26 E=48 V=24 |
Oh | W85 K22 C59 |
  |
 |
Dual:Great deltoidal icositetrahedron |
| U18 | lrH:Sroh 2 4 (3/2 4/2) | {{{lrH-CD}}} |
Small rhombihexahedron 4.8.4/3.8 12{4}+6{8} |
F=18 E=48 V=24 |
Oh | W86 K23 C60 |
  |
 |
Dual:Small rhombihexacron |
| U19 | stH:Quith 2 3 | 4/3 {{{stH-CD}}} |
Stellated truncated hexahedron 3.8/3.8/3 8{3}+6{8/3} |
F=14 E=36 V=24 |
Oh | W92 K24 C66 |
  |
 |
Dual:Great triakis octahedron |
| U20 | gtCO:Quitco 2 34/3 | {{{gtCO-CD}}} |
Great truncated cuboctahedron 4.6.8/3 12{4}+8{6}+6{8/3} |
F=26 E=72 V=48 |
Oh | W93 K25 C67 |
  |
 |
Dual:Great disdyakis dodecahedron |
| U21 | grH:Groh 2 4/3 (3/2 4/2) | {{{grH-CD}}} |
Great rhombihexahedron 4.8/3.4/3.8/5 12{4}+6{8/3} |
F=18 E=48 V=24 |
Oh | W103 K26 C82 |
  |
 |
Dual:Great rhombihexacron |
| U30 | ldID:Sidtid 3 | 5/23 {{{ldID-CD}}} |
Small ditrigonal icosidodecahedron (3.5/2)3 20{3}+12{5/2} |
F=32 E=60 V=20 |
Ih | W70 K35 C39 |
  |
 |
Dual:Small triambic icosahedron |
| U31 | lIID:Siid 5/2 3 | 3 {{{lIID-CD}}} |
Small icosicosidodecahedron 6.5/2.6.3 20{3}+12{5/2}+20{6} |
F=52 E=120 V=60 |
Ih | W71 K36 C40 |
  |
 |
Dual:Small icosacronic hexacontahedron |
| U32 | Seside:Seside |5/2 3 3 {{{Seside-CD}}} |
Small snub icosicosidodecahedron 35.5/2 (40+60){3}+12{5/2} |
F=112 E=180 V=60 |
Ih | W110 K37 C41 |
  |
 |
Dual:Small hexagonal hexecontahedron |
| U33 | lDID:Saddid 3/25 | 5 {{{lDID-CD}}} |
Small dodecicosidodecahedron 5.10.3/2.10 20{3}+12{5}+12{10} |
F=44 E=120 V=60 |
Ih | W72 K38 C42 |
  |
 |
Dual:Small dodecacronic hexecontahedron |
| U36 | DD:Did 2 | 5 5/2 {{{DD-CD}}} |
Dodecadodecahedron 5.5/2.5.5/2 12{5}+12{5/2} |
F=24 E=60 V=30 |
Ih | W73 K41 C45 |
  |
 |
Dual:Medial rhombic triacontahedron |
| U37 | tgD:Tigid 25/2 | 5 {{{tgD-CD}}} |
Truncated great dodecahedron 10.10.5/2 12{5/2}+12{10} |
F=24 E=90 V=60 |
Ih | W75 K42 C47 |
  |
 |
Dual:Small stellapentakis dodecahedron |
| U38 | rDD:Raded 5/2 5 | 2 {{{rDD-CD}}} |
Rhombidodecadodecahedron 4.5/2.4.5 30{4}+12{5}+12{5/2} |
F=54 E=120 V=60 |
Ih | W76 K43 C48 |
  |
 |
Dual:Medial deltoidal hexecontahedron |
| U39 | lrD:Sird 2 5 (3/2 5/2) | {{{lrD-CD}}} |
Small rhombidodecahedron 4.10.4/3.10/9 30{4}+12{10} |
F=42 E=120 V=60 |
Ih | W74 K44 C46 |
  |
 |
Dual:Small rhombidodecacron |
| U40 | Siddid:Siddid |2 5/2 5 {{{Siddid-CD}}} |
Snub dodecadodecahedron 3.3.5/2.3.5 60{3}+12{5}+12{5/2} |
F=84 E=150 V=60 |
I | W111 K45 C49 |
  |
 |
Dual:Medial pentagonal hexecontahedron |
| U41 | dDD:Ditdid 3 | 5/35 {{{dDD-CD}}} |
Ditrigonal dodecadodecahedron (5.5/3)3 12{5}+12{5/2} |
F=24 E=60 V=20 |
Ih | W80 K46 C53 |
  |
 |
Dual:Medial triambic icosahedron |
| U42 | gdDID:Gidditdid 3 5 | 5/3 {{{gdDID-CD}}} |
Great ditrigonal dodecicosidodecahedron 3.10/3.5.10/3 20{3}+12{5}+12{10/3} |
F=44 E=120 V=60 |
Ih | W81 K47 C54 |
  |
 |
Dual:Great ditrigonal dodecacronic hexecontahedron |
| U43 | ldDID:Sidditdid 5/33 | 5 {{{ldDID-CD}}} |
Small ditrigonal dodecicosidodecahedron 3.10.5/3.10 20{3}+12{5/2}+12{10} |
F=44 E=120 V=60 |
Ih | W82 K48 C55 |
  |
 |
Dual:Small ditrigonal dodecacronic hexecontahedron |
| U44 | IDD:Ided 5/35 | 3 {{{IDD-CD}}} |
Icosidodecadodecahedron 5.6.5/3.6 12{5}+12{5/2}+20{6} |
F=44 E=120 V=60 |
Ih | W83 K49 C56 |
  |
 |
Dual:Medial icosacronic hexecontahedron |
| U45 | itDD:Idtid 3 55/3 | {{{itDD-CD}}} |
Icositruncated dodecadodecahedron 6.10.10/3 20{6}+12{10}+12{10/3} |
F=44 E=180 V=120 |
Ih | W84 K50 C57 |
  |
 |
Dual:Tridyakis icosahedron |
| U46 | Sided:Sided |5/3 3 5 {{{Sided-CD}}} |
Snub icosidodecadodecahedron 3.3.3.5.3.5/3 (20+60){3}+12{5}+12{5/2} |
F=104 E=180 V=60 |
I | W112 K51 C58 |
  |
 |
Dual:Medial hexagonal hexecontahedron |
| U47 | gdID:Gidtid 3/2 | 3 5 {{{gdID-CD}}} |
Great ditrigonal icosidodecahedron ((3.5)3)/2 20{3}+12{5} |
F=32 E=60 V=20 |
Ih | W87 K52 C61 |
  |
 |
Dual:Great triambic icosahedron |
| U48 | gIID:Giid 3/25 | 3 {{{gIID-CD}}} |
Great icosicosidodecahedron 5.6.3/2.6 20{3}+12{5}+20{6} |
F=52 E=120 V=60 |
Ih | W88 K53 C62 |
  |
 |
Dual:Great icosacronic hexecontahedron |
| U49 | lIhD:Seihid 3/23 | 5 {{{lIhD-CD}}} |
Small icosihemidodecahedron 3.10.3/2.10 20{3}+6{10} |
F=26 E=60 V=30 |
Ih | W89 K54 C63 |
  |
|
Dual:Small icosihemidodecacron |
| U50 | lDI:Siddy 3 5 (3/2 5/4) | {{{lDI-CD}}} |
Small dodecicosahedron 6.10.6/5.10/9 20{6}+12{10} |
F=32 E=120 V=60 |
Ih | W90 K55 C64 |
  |
 |
Dual:Small dodecicosacron |
| U51 | lDhD:Sidhid 5/45 | 5 {{{lDhD-CD}}} |
Small dodecahemidodecahedron 5.10.5/4.10 12{5}+6{10} |
F=18 E=60 V=30 |
Ih | W91 K56 C65 |
  |
|
Dual:Small dodecahemidodecacron |
| U54 | gID:Gid 2 | 3 5/2 {{{gID-CD}}} |
Great icosidodecahedron 3.5/2.3.5/2 20{3}+12{5/2} |
F=32 E=60 V=30 |
Ih | W94 K59 C70 |
  |
 |
Dual:Great rhombic triacontahedron |
| U55 | gtI:Tiggy 25/2 | 3 {{{gtI-CD}}} |
Truncated great icosahedron 6.6.5/2 12{5/2}+20{6} |
F=32 E=90 V=60 |
Ih | W95 K60 C71 |
  |
 |
Dual:Great stellapentakis dodecahedron |
| U56 | rI:Ri 2 3 (5/4 5/2) | {{{rI-CD}}} |
Rhombicosahedron 4.6.4/3.6/5 30{4}+20{6} |
F=50 E=120 V=60 |
Ih | W96 K61 C72 |
  |
 |
Dual:Rhombicosacron |
| U57 | Gosid:Gosid |2 5/2 3 {{{Gosid-CD}}} |
Great snub icosidodecahedron 34.5/2 (20+60){3}+12{5/2} |
F=92 E=150 V=60 |
I | W116 K62 C88 |
  |
 |
Dual:Great pentagonal hexecontahedron |
| U58 | lstD:Quitsissid 2 5 | 5/3 {{{lstD-CD}}} |
Small stellated truncated dodecahedron 5.10/3.10/3 12{5}+12{10/3} |
F=24 E=90 V=60 |
Ih | W97 K63 C74 |
  |
 |
Dual:Great pentakis dodecahedron |
| U59 | tDD:Quitdid 2 55/3 | {{{tDD-CD}}} |
Truncated dodecadodecahedron 4.10.10/3 30{4}+12{10}+12{10/3} |
F=54 E=180 V=120 |
Ih | W98 K64 C75 |
  |
 |
Dual:Medial disdyakis triacontahedron |
| U60 | Isdid:Isdid |5/3 2 5 {{{Isdid-CD}}} |
Inverted snub dodecadodecahedron 3.3.5.3.5/3 60{3}+12{5}+12{5/2} |
F=84 E=150 V=60 |
I | W114 K65 C76 |
  |
 |
Dual:Medial inverted pentagonal hexecontahedron |
| U61 | gDID:Gaddid 5/2 3 | 5/3 {{{gDID-CD}}} |
Great dodecicosidodecahedron 3.10/3.6/5.10/7 20{3}+12{5/2}+12{10/3} |
F=44 E=120 V=60 |
Ih | W99 K66 C77 |
  |
 |
Dual:Great dodecacronic hexecontahedron |
| U62 | lDhI:Sidhei 5/35/2 | 3 {{{lDhI-CD}}} |
Small dodecahemicosahedron 6.5/2.6.5/3 12{5/2}+10{6} |
F=22 E=60 V=30 |
Ih | W100 K67 C78 |
  |
|
Dual:Small dodecahemicosacron |
| U63 | gDI:Giddy 3 5/3 (3/2 5/2) | {{{gDI-CD}}} |
Great dodecicosahedron 6.10/3.6/5.10/7 20{6}+12{10/3} |
F=32 E=120 V=60 |
Ih | W101 K68 C79 |
  |
 |
Dual:Great dodecicosacron |
| U64 | Gisdid:Gisdid | 5/3 5/2 3 {{{Gisdid-CD}}} |
Great snub dodecicosidodecahedron 3.3.3.5/2.3.5/3 (20+60){3}+(12+12){5/2} |
F=104 E=180 V=60 |
I | W115 K69 C80 |
  |
 |
Dual:Great hexagonal hexecontahedron |
| U65 | gDhI:Gidhei 5/45 | 3 {{{gDhI-CD}}} |
Great dodecahemicosahedron 5.6.5/4.6 12{5}+10{6} |
F=22 E=60 V=30 |
Ih | W102 K70 C81 |
  |
|
Dual:Great dodecahemicosacron |
| U66 | gstD:Quitgissid 2 3 | 5/3 {{{gstD-CD}}} |
Great stellated truncated dodecahedron 3.10/3.10/3 20{3}+12{10/3} |
F=32 E=90 V=60 |
Ih | W104 K71 C83 |
  |
 |
Dual:Great triakis icosahedron |
| U67 | ugrID:Qrid 5/33 | 2 {{{ugrID-CD}}} |
Uniform great rhombicosidodecahedron 3.4.5/3.4 20{3}+30{4}+12{5/2} |
F=62 E=120 V=60 |
Ih | W105 K72 C84 |
  |
 |
Dual:Great deltoidal hexecontahedron |
| U68 | gtID:Gaquatid 2 35/3 | {{{gtID-CD}}} |
Great truncated icosidodecahedron 4.6.10/3 30{4}+20{6}+12{10/3} |
F=62 E=180 V=120 |
Ih | W108 K73 C87 |
  |
 |
Dual:Great disdyakis triacontahedron |
| U69 | Gisid:Gisid |5/3 2 3 {{{Gisid-CD}}} |
Great inverted snub icosidodecahedron 34.5/3 (20+60){3}+12{5/2} |
F=92 E=150 V=60 |
I | W113 K74 C73 |
  |
 |
Dual:Great inverted pentagonal hexecontahedron |
| U70 | gDhD:Gidhid 5/35/2 | 5/3 {{{gDhD-CD}}} |
Great dodecahemidodecahedron 5/2.10/3.5/3.10/3 12{5/2}+6{10/3} |
F=18 E=60 V=30 |
Ih | W107 K75 C86 |
  |
|
Dual:Great dodecahemidodecracon |
| U71 | gIhD:Geihid 3 3 | 5/3 {{{gIhD-CD}}} |
Great icosihemidodecahedron 3.10/3.3.10/3 20{3}+6{10/3} |
F=26 E=60 V=30 |
Ih | W106 K76 C85 |
  |
|
Dual:Great icosihemidodecacron |
| U72 | Sirsid:Sirsid |3/2 3/2 5/2 {{{Sirsid-CD}}} |
Small retrosnub icosicosidodecahedron (35.5/3)/2 (40+60){3}+12{5/2} |
F=112 E=180 V=60 |
Ih | W118 K77 C91 |
  |
 |
Dual:Small hexagrammic hexecontahedron |
| U73 | grD:Gird 2 5/3 (3/2 5/4) | {{{grD-CD}}} |
Great rhombidodecahedron 4.10/3.4/3.10/7 30{4}+12{10/3} |
F=42 E=120 V=60 |
Ih | W109 K78 C89 |
  |
 |
Dual:Great rhombidodecacron |
| U74 | Girsid:Girsid |3/2 5/3 2 {{{Girsid-CD}}} |
Great retrosnub icosidodecahedron (34.5/2)/2 (20+60){3}+12{5/2} |
F=92 E=150 V=60 |
I | W117 K79 C90 |
  |
 |
Dual:Great pentagrammic hexecontahedron |
| U75 | Gidrid:Gidrid |3/2 5/3 3 5/2 {{{Gidrid-CD}}} |
Great dirhombicosidodecahedron (4.5/3.4.3.4. 5/2.4.3/2)/2 40{3}+60{4}+24{5/2} |
F=124 E=240 V=60 |
Ih | W119 K80 C92 |
  |
|
Dual:Great dirhombicosadodecacron |
| U- | Skilling:- | (3/2) 5/3 (3) 5/2 {{{Skilling-CD}}} |
Great disnub dirhombidodecahedron (5/2.4.3.3.3.4. 5/3.4.3/2.3/2.3/2.4)/2 120{3}+60{4}+24{5/2} |
F=204 E=240 V=60 |
Ih | W- K- C- |
  |
|
Dual:Great disnub dirhombidodecacron |
[edit] Convex prisms and antiprisms
| U76(a) | P3:Trip 2 3 | 2
|
Triangular prism 4.4.3 3{4}+2{3} |
F=5 E=9 V=6 |
D3h | W-- K01(a) C-- |
  |
 |
Dual:Triangular dipyramid |
| U76(b) | P4:Cube 2 4 | 2
|
Cube 4.4.4 4{4}+2{4} |
F=6 E=12 V=8 |
D4h | W-- K01(b) C-- |
 |
 |
Dual:Octahedron |
| U76(c) | P5:Pip 2 5 | 2
|
Pentagonal prism 4.4.5 5{4}+2{5} |
F=7 E=15 V=10 |
D5h | W-- K01(c) C-- |
  |
 |
Dual:Pentagonal dipyramid |
| U76(d) | P6:Hip 2 6 | 2
|
Hexagonal prism 4.4.6 6{4}+2{6} |
F=8 E=18 V=12 |
D6h | W-- K01(d) C-- |
  |
 |
Dual:Hexagonal dipyramid |
| U76(e) | P8:Op 2 8 | 2
|
Octagonal prism 4.4.8 8{4}+2{8} |
F=10 E=24 V=16 |
D8h | W-- K01(e) C-- |
  |
 |
Dual:Octagonal dipyramid |
| U76(g) | P10:Dip 2 10 | 2
|
Decagonal prism 4.4.10 10{4}+2{10} |
F=12 E=30 V=20 |
D10h | W-- K01(g) C-- |
  |
 |
Dual:Decagonal dipyramid |
| U76(i) | P12:Twip 2 12 | 2
|
Dodecagonal prism 4.4.12 12{4}+2{12} |
F=14 E=36 V=24 |
D12h | W-- K01(i) C-- |
  |
Image:Dodecagonal dipyramid.png | Dual:Dodecagonal dipyramid |
| U77(a) | AP3:Oct | 2 2 3
|
Triangular antiprism 3.3.3.3 6{3}+2{3} |
F=8 E=12 V=6 |
D3d | W-- K02(a) C-- |
|
 |
Dual:Trigonal trapezohedron |
| U77(b) | AP4:Squap | 2 2 4
|
Square antiprism 3.3.3.4 8{3}+2{4} |
F=10 E=16 V=8 |
D4d | W-- K02(b) C-- |
  |
 |
Dual:Tetragonal trapezohedron |
| U77(c) | AP5:Pap | 2 2 5
|
Pentagonal antiprism 3.3.3.5 10{3}+2{5} |
F=12 E=20 V=10 |
D5d | W-- K02(c) C-- |
  |
 |
Dual:Pentagonal trapezohedron |
| U77(d) | AP6:Hap | 2 2 6
|
Hexagonal antiprism 3.3.3.6 12{3}+2{6} |
F=14 E=24 V=12 |
D6d | W-- K02(d) C-- |
  |
 |
Dual:Hexagonal trapezohedron |
| U77(f) | AP8:Oap | 2 2 8
|
Octagonal antiprism 3.3.3.8 16{3}+2{8} |
F=18 E=32 V=16 |
D8d | W-- K02(f) C-- |
  |
 |
Dual:Octagonal trapezohedron |
| U77(g) | AP10:Ennap | 2 2 10
|
Decagonal antiprism 3.3.3.10 20{3}+2{10} |
F=22 E=40 V=20 |
D10d | W-- K02(g) C-- |
  |
 |
Dual:Decagonal trapezohedron |
| U77(h) | AP12:Twap | 2 2 12
|
Dodecagonal antiprism 3.3.3.12 24{3}+2{12} |
F=26 E=48 V=24 |
D12d | W-- K02(h) C-- |
  |
Image:Dodecagonal trapezohedron.png | Dual:Dodecagonal trapezohedron |
[edit] Nonconvex prisms and antiprisms
| U78(a) | P5d2:Stip 2 5/2 | 2
|
Pentagrammic prism 4.4.5/2 5{4}+2{5/2} |
F=7 E=15 V=10 |
D5h | W-- K03(a) C-- |
  |
Image:Pentagrammic dipyramid.png | Dual:Pentagrammic dipyramid |
| U79(a) | AP5d2:Stap | 2 2 5/2
|
Pentagrammic antiprism 3.3.3.5/2 10{3}+2{5/2} |
F=12 E=20 V=10 |
D5d | W-- K04(a) C-- |
  |
Image:Pentagrammic trapezohedron.png | Dual:Pentagrammic trapezohedron
Prism polyhedra db |
[edit] Uniform tilings
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