U
niform
P
olyhedra
S
ummary
Uniform
Dual
Vert. Fig.
Dual Face
01 : 3|2 3 : {3, 3, 3}
tetrahedron
tetrahedron
02 : 2 3|3 : {6, 6, 3}
truncated tetrahedron
triakistetrahedron
03 : 3/2 3|3 : {6, 3/2, 6, 3}
octahemioctahedron
octahemioctacron
04 : 3/2 3|2 : {4, 3/2, 4, 3}
tetrahemihexahedron
tetrahemihexacron
05 : 4|2 3 : {3, 3, 3, 3}
octahedron
cube
06 : 3|2 4 : {4, 4, 4}
cube
octahedron
07 : 2|3 4 : {3, 4, 3, 4}
cuboctahedron
rhombic dodecahedron
08 : 2 4|3 : {6, 6, 4}
truncated octahedron
tetrakishexahedron
09 : 2 3|4 : {8, 8, 3}
truncated cube
triakisoctahedron
10 : 3 4|2 : {4, 3, 4, 4}
rhombicuboctahedron
deltoidal icositetrahedron
11 : 2 3 4| : {4, 6, 8}
truncated cuboctahedron
disdyakisdodecahedron
12 : |2 3 4 : {3, 3, 3, 3, 4}
snub cube
pentagonal icositetrahedron
13 : 3/2 4|4 : {8, 3/2, 8, 4}
small cubicuboctahedron
small hexacronic icositetrahedron
14 : 3 4|4/3 : {8/3, 3, 8/3, 4}
great cubicuboctahedron
great hexacronic icositetrahedron
15 : 4/3 4|3 : {6, 4/3, 6, 4}
cubohemioctahedron
hexahemioctacron
16 : 4/3 3 4| : {8/3, 6, 8}
cubitruncated cuboctahedron
tetradyakishexahedron
17 : 3/2 4|2 : {4, 3/2, 4, 4}
great rhombicuboctahedron
great deltoidal icositetrahedron
18 : 3/2 2 4| : {8, 4, 8/7, 4/3}
small rhombihexahedron
small rhombihexacron
19 : 2 3|4/3 : {8/3, 8/3, 3}
stellated truncated hexahedron
great triakisoctahedron
20 : 4/3 2 3| : {8/3, 4, 6}
great truncated cuboctahedron
great disdyakisdodecahedron
21 : 4/3 3/2 2| : {4, 8/3, 4/3, 8/5}
great rhombihexahedron
great rhombihexacron
22 : 5|2 3 : {3, 3, 3, 3, 3}
icosahedron
dodecahedron
23 : 3|2 5 : {5, 5, 5}
dodecahedron
icosahedron
24 : 2|3 5 : {3, 5, 3, 5}
icosidodecahedron
rhombic triacontahedron
25 : 2 5|3 : {6, 6, 5}
truncated icosahedron
pentakisdodecahedron
26 : 2 3|5 : {10, 10, 3}
truncated dodecahedron
triakisicosahedron
27 : 3 5|2 : {4, 3, 4, 5}
rhombicosidodecahedron
deltoidal hexecontahedron
28 : 2 3 5| : {4, 6, 10}
truncated icosidodechedon
disdyakistriacontahedron
29 : |2 3 5 : {3, 3, 3, 3, 5}
snub dodecahedron
pentagonal hexecontahedron
30 : 3|5/2 3 : {5/2, 3, 5/2, 3, 5/2, 3}
small ditrigonal icosidodecahedron
small triambic icosidodecahedron
31 : 5/2 3|3 : {6, 5/2, 6, 3}
small icosicosidodecahedron
small icosacronic hexecontahedron
32 : |5/2 3 3 : {3, 5/2, 3, 3, 3, 3}
small snub icosicosidodecahedron
small hexagonal hexecontahedron
33 : 3/2 5|5 : {10, 3/2, 10, 5}
small dodecicosidodecahedron
small dodecacronic hexecontahedron
34 : 5|2 5/2 : {5/2, 5/2, 5/2, 5/2, 5/2}
small stellated dodecahedron
great dodecahedron
35 : 5/2|2 5 : {5, 5, 5, 5, 5}/2
great dodecahedron
small stellated dodecahedron
36 : 2|5/2 5 : {5/2, 5, 5/2, 5}
dodecadodecahedron
medial rhombic triacontahedron
37 : 2 5/2|5 : {10, 10, 5/2}
truncated great dodecahedron
small stellapentakisdodecahedron
38 : 5/2 5|2 : {4, 5/2, 4, 5}
rhombi dodecadodecahedron
medial deltoidal hexecontahedron
39 : 2 5/2 5| : {10, 4, 10/9, 4/3}
small rhombidodecahedron
small rhombidodecacron
40 : |2 5/2 5 : {3, 3, 5/2, 3, 5}
snub dodecadodecahedron
medial pentagonal hexecontahedron
41 : 3|5/3 5 : {5/3, 5, 5/3, 5, 5/3, 5}
ditrigonal dodecadodecahedron
medial triambic icosahedron
42 : 3 5|5/3 : {10/3, 3, 10/3, 5}
great ditrigonal dodecicosidodecahedron
great ditrigonal dodecacronic hexecontahedron
43 : 5/3 3|5 : {10, 5/3, 10, 3}
small ditrigonal dodecicosidodecahedron
small ditrigonal dodecacronic hexecontahedron
44 : 5/3 5|3 : {6, 5/3, 6, 5}
icosidodecadodecahedron
medial icosacronic hexecontahedron
45 : 5/3 3 5| : {10/3, 6, 10}
icositruncated dodecadodecahedron
tridyakisicosahedron
46 : |5/3 3 5 : {3, 5/3, 3, 3, 3, 5}
snub icosidodecadodecahedron
medial hexagonal hexecontahedron
47 : 3/2|3 5 : {3, 5, 3, 5, 3, 5}/2
great ditrigonal icosidodecahedron
great triambic icosahedron
48 : 3/2 5|3 : {6, 3/2, 6, 5}
great icosicosidodecahedron
great icosacronic hexecontahedron
49 : 3/2 3|5 : {10, 3/2, 10, 3}
small icosihemidodecahedron
small icosihemidodecacron
50 : 3/2 3 5| : {10, 6, 10/9, 6/5}
small dodecicosahedron
small dodecicosacron
51 : 5/4 5|5 : {10, 5/4, 10, 5}
small dodecahemidodecahedron
small dodecahemidodecacron
52 : 3|2 5/2 : {5/2, 5/2, 5/2}
great stellated dodecahedron
great icosahedron
53 : 5/2|2 3 : {3, 3, 3, 3, 3}/2
great icosahedron
great stellated dodecahedron
54 : 2|5/2 3 : {5/2, 3, 5/2, 3}
great icosidodecahedron
great rhombic triacontahedron
55 : 2 5/2|3 : {6, 6, 5/2}
great truncated icosahedron
great stellapentakisdodecahedron
56 : 2 5/2 3| : {6, 4, 6/5, 4/3}
rhombicosahedron
rhombicosacron
57 : |2 5/2 3 : {3, 3, 5/2, 3, 3}
great snub icosidodecahedron
great pentagonal hexecontahedron
58 : 2 5|5/3 : {10/3, 10/3, 5}
small stellated truncated dodecahedron
great pentakisdodecahedron
59 : 5/3 2 5| : {10/3, 4, 10}
truncated dodecadodecahedron
medial disdyakistriacontahedron
60 : |5/3 2 5 : {3, 5/3, 3, 3, 5}
inverted snub dodecadodecahedron
medial inverted pentagonal hexecontahedron
61 : 5/2 3|5/3 : {10/3, 5/2, 10/3, 3}
great dodecicosidodecahedron
great dodecacronic hexecontahedron
62 : 5/3 5/2|3 : {6, 5/3, 6, 5/2}
small dodecahemicosahedron
small dodecahemicosacron
63 : 5/3 5/2 3| : {6, 10/3, 6/5, 10/7}
great dodecicosahedron
great dodecicosacron
64 : |5/3 5/2 3 : {3, 5/3, 3, 5/2, 3, 3}
great snub dodecicosidodecahedron
great hexagonal hexecontahedron
65 : 5/4 5|3 : {6, 5/4, 6, 5}
great dodecahemicosahedron
great dodecahemicosacron
66 : 2 3|5/3 : {10/3, 10/3, 3}
great stellated truncated dodecahedron
great triakisicosahedron
67 : 5/3 3|2 : {4, 5/3, 4, 3}
great rhombicosidodecahedron
great deltoidal hexecontahedron
68 : 5/3 2 3| : {10/3, 4, 6}
great truncated icosidodecahedron
great disdyakistriacontahedron
69 : |5/3 2 3 : {3, 5/3, 3, 3, 3}
great inverted snub icosidodecahedron
great inverted pentagonal hexecontahedron
70 : 5/3 5/2|5/3 : {10/3, 5/3, 10/3, 5/2}
great dodecahemidodecahedron
great dodecahemidodecacron
71 : 3/2 3|5/3 : {10/3, 3/2, 10/3, 3}
great icosihemidodecahedron
great icosihemidodecacron
72 : |3/2 3/2 5/2 : {3, 3/2, 3, 3/2, 3, 5/2}
small retrosnub icosicosidodecahedron
small hexagrammic hexecontahedron
73 : 3/2 5/3 2| : {4, 10/3, 4/3, 10/7}
great rhombidodecahedron
great rhombidodecacron
74 : |3/2 5/3 2 : {3, 3/2, 3, 5/3, 3}
great retrosnub icosidodecahedron
great pentagrammic hexecontahedron
75 : |3/2 5/3 3 5/2 : {4, 5/3, 4, 3, 4, 5/2, 4, 3/2}
great dirhombicosidodecahedron
great dirhombicosidodecahedron
p01 : 2 3|2 : {4, 4, 3}
triangular prism
triangular dipyramid
p02 : 2 4|2 : {4, 4, 4}
square prism
square dipyramid
p03 : 2 5|2 : {4, 4, 5}
pentagonal prism
pentagonal dipyramid
p04 : 2 5/2|2 : {4, 4, 5/2}
pentagrammic prism
pentagrammic dipyramid
p05 : 2 6|2 : {4, 4, 6}
hexagonal prism
hexagonal dipyramid
p06 : 2 7|2 : {4, 4, 7}
heptagonal prism
heptagonal dipyramid
p07 : 2 7/3|2 : {4, 4, 7/3}
first heptagrammic prism
first heptagrammic dipyramid
p08 : 2 7/2|2 : {4, 4, 7/2}
second heptagrammic prism
second heptagrammic dipyramid
p09 : 2 8|2 : {4, 4, 8}
octagonal prism
octagonal dipyramid
p10 : 2 8/3|2 : {4, 4, 8/3}
octagrammic prism
octagrammic dipyramid
p11 : 2 9|2 : {4, 4, 9}
enneagonal prism
enneagonal dipyramid
p12 : 2 9/4|2 : {4, 4, 9/4}
first enneagrammic prism
first enneagrammic dipyramid
p13 : 2 9/2|2 : {4, 4, 9/2}
second enneagrammic prism
second enneagrammic dipyramid
p14 : 2 10|2 : {4, 4, 10}
decagonal prism
decagonal dipyramid
p15 : 2 10/3|2 : {4, 4, 10/3}
decagrammic prism
decagrammic dipyramid
a01 : |2 2 3 : {3, 3, 3, 3}
triangular antiprism
triangular deltohedron
a02 : |2 2 4 : {3, 3, 3, 4}
square antiprism
square deltohedron
a03 : |2 2 5 : {3, 3, 3, 5}
pentagonal antiprism
pentagonal deltohedron
a04 : |2 2 5/2 : {3, 3, 3, 5/2}
pentagrammic antiprism
pentagrammic deltohedron
a05 : |2 2 6 : {3, 3, 3, 6}
hexagonal antiprism
hexagonal deltohedron
a06 : |2 2 7 : {3, 3, 3, 7}
heptagonal antiprism
heptagonal deltohedron
a07 : |2 2 7/3 : {3, 3, 3, 7/3}
first heptagrammic antiprism
first heptagrammic deltohedron
a08 : |2 2 7/2 : {3, 3, 3, 7/2}
second heptagrammic antiprism
second heptagrammic deltohedron
a09 : |2 2 8 : {3, 3, 3, 8}
octagonal antiprism
octagonal deltohedron
a10 : |2 2 8/3 : {3, 3, 3, 8/3}
octagrammic antiprism
octagrammic deltohedron
a11 : |2 2 9 : {3, 3, 3, 9}
enneagonal antiprism
enneagonal deltohedron
a12 : |2 2 9/4 : {3, 3, 3, 9/4}
first enneagrammic antiprism
first enneagrammic deltohedron
a13 : |2 2 9/2 : {3, 3, 3, 9/2}
second enneagrammic antiprism
second enneagrammic deltohedron
a14 : |2 2 10 : {3, 3, 3, 10}
decagonal antiprism
decagonal deltohedron
a15 : |2 2 10/3 : {3, 3, 3, 10/3}
decagrammic antiprism
decagrammic deltohedron
c01 : |2 2 5/3 : {3, 3, 3, 5/3}
pentagrammic crossed antiprism
pentagrammic concave deltohedron
c02 : |2 2 7/4 : {3, 3, 3, 7/4}
heptagrammic crossed antiprism
heptagrammic concave deltohedron
c03 : |2 2 8/5 : {3, 3, 3, 8/5}
octagrammic crossed antiprism
octagrammic concave deltohedron
c04 : |2 2 9/5 : {3, 3, 3, 9/5}
enneagrammic crossed antiprism
enneagrammic concave deltohedron
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Uniform Polyhedra