| J1
Square Pyramid(J1)
|
|
JohnsonPyramids
|
5 |
4{3}+1{4} |
5 |
4{3}+1{4} |
8 |
Y4 |
| J10
Gyroelongated Square Pyramid
|
|
Johnson
|
9 |
4{5}+5{4} |
13 |
12{3}+1{4} |
20 |
|
| J11
Gyroelongated pentagonal Pyramid
|
|
Johnson
|
11 |
5{4}+6{5} |
16 |
15{3}+1{5} |
25 |
|
| J12
Triangular Dipyramid
|
|
Johnsondeltahedron
|
5 |
3{4}+2{3} |
6 |
6{3} |
9 |
|
| J13
pentagonal Dipyramid
|
|
Johnsondeltahedron
|
7 |
5{4}+2{5} |
10 |
10{3} |
15 |
|
| J14
Elongated Triangular Dipyramid
|
|
Johnson
|
8 |
6{4}+2{3} |
9 |
6{3}+3{4} |
15 |
|
| J15
Elongated Square Dipyramid
|
|
Johnson
|
10 |
10{4} |
12 |
8{3}+4{4} |
20 |
|
| J16
Elongated pentagonal Dipyramid
|
|
Johnson
|
12 |
10{4}+2{5} |
15 |
10{3}+5{4} |
25 |
|
| J17
Gyroelongated Square Dipyramid
|
Y |
Johnsondeltahedron
|
10 |
8{5}+2{4} |
16 |
16{3} |
24 |
|
| J18
Elongated Triangular Cupola
|
|
Johnson
|
15 |
9{4}+6{3} |
14 |
4{3}+9{4}+1{6} |
27 |
|
| J19
Elongated Square Cupola
|
|
Johnson
|
20 |
12{4}+8{3} |
18 |
4{3}+13{4}+1{8} |
36 |
|
| J2
pentagonal Pyramid(J2)
|
|
JohnsonPyramids
|
6 |
5{3}+1{5} |
6 |
5{3}+1{5} |
10 |
Y5 |
| J20
Elongated pentagonal Cupola
|
|
Johnson
|
25 |
15{4}+10{3} |
22 |
5{3}+15{4}+1{5}+1{10} |
45 |
|
| J21
Elongated pentagonal Rotunda
|
|
Johnson
|
30 |
20{4}+10{3} |
27 |
10{3}+10{4}+6{5}+1{10} |
55 |
|
| J22
Gyroelongated Triangular Cupola
|
|
Johnson
|
15 |
6{5}+9{4} |
20 |
16{3}+3{4}+1{6} |
33 |
|
| J23
Gyroelongated Square Cupola
|
Y |
Johnson
|
20 |
12{4}+8{5} |
26 |
20{3}+5{4}+1{8} |
44 |
|
| J24
Gyroelongated pentagonal Cupola
|
|
Johnson
|
25 |
15{4}+10{5} |
32 |
25{3}+5{4}+1{5}+1{10} |
55 |
|
| J25
Gyroelongated pentagonal Rotunda
|
|
Johnson
|
30 |
10{5}+20{4} |
37 |
30{3}+6{5}+1{10} |
65 |
|
| J26
Gyrobifastigium
|
|
JohnsonSpace-filling
|
8 |
4{4}+4{3} |
8 |
4{3}+4{4} |
14 |
|
| J27
Triangular Orthobicupola
|
|
Johnson
|
12 |
12{4} |
14 |
8{3}+6{4} |
24 |
|
| J28
Square Orthobicupola
|
|
Johnson
|
16 |
16{4} |
18 |
8{3}+10{4} |
32 |
|
| J29
Square Gyrobicupola
|
|
Johnson
|
16 |
16{4} |
18 |
8{3}+10{4} |
32 |
|
| J3
Triangular Cupola(J3)
|
|
Johnson
|
9 |
6{3}+3{4} |
8 |
4{3}+3{4}+1{6} |
15 |
|
| J30
pentagonal Orthobicupola
|
|
Johnson
|
20 |
20{4} |
22 |
10{3}+10{4}+2{5} |
40 |
|
| J31
pentagonal Gyrobicupola
|
|
Johnson
|
20 |
20{4} |
22 |
10{3}+10{4}+2{5} |
40 |
|
| J32
pentagonal Orthocupolarontunda
|
|
Johnson
|
25 |
25{4} |
27 |
15{3}+5{4}+7{5} |
50 |
|
| J33
pentagonal Gyrocupolarotunda
|
|
Johnson
|
25 |
25{4} |
27 |
15{3}+5{4}+7{5} |
50 |
|
| J34
pentagonal Orthobirotunda
|
|
Johnson
|
30 |
30{4} |
32 |
20{3}+12{5} |
60 |
|
| J35
Elongated Triangular Orthobicupola
|
|
Johnson
|
18 |
18{4} |
20 |
8{3}+12{4} |
36 |
|
| J36
Elongated Triangular Gyrobicupola
|
|
Johnson
|
18 |
18{4} |
20 |
8{3}+12{4} |
36 |
|
| J37
Elongated Square Gyrobicupola, Pseudorhombicuboctahedron, Miller's Solid
|
|
Johnson
|
24 |
24{4} |
26 |
8{3}+18{4} |
48 |
|
| J38
Elongated pentagonal Orthobicupola
|
|
Johnson
|
30 |
30{4} |
32 |
10{3}+20{4}+2{5} |
60 |
|
| J39
Elongated pentagonal Gyrobicupola
|
|
Johnson
|
30 |
30{4} |
32 |
10{3}+20{4}+2{5} |
60 |
|
| J4
Square Cupola(J4)
|
|
Johnson
|
12 |
8{3}+4{4} |
10 |
4{3}+5{4}+1{8} |
20 |
|
| J40
Elongated pentagonal Orthocupolarotunda
|
|
Johnson
|
35 |
35{4} |
37 |
15{3}+15{4}+7{5} |
70 |
|
| J41
Elongated pentagonal Gyrocupolarotunda
|
|
Johnson
|
35 |
35{4} |
37 |
15{3}+15{4}+7{5} |
70 |
|
| J42
Elongated pentagonal Orthobirotunda
|
|
Johnson
|
40 |
40{4} |
42 |
20{3}+10{4}+12{5} |
80 |
|
| J43
Elongated pentagonal Gyrobirotunda
|
|
Johnson
|
40 |
40{4} |
42 |
20{3}+10{4}+12{5} |
80 |
|
| J44
Gyroelongated Triangular Bicupola
|
|
Johnson
|
18 |
12{5}+6{4} |
26 |
20{3}+6{4} |
42 |
|
| J45
Gyroelongated Square Bicupola
|
|
Johnson
|
24 |
16{5}+8{4} |
34 |
24{3}+10{4} |
56 |
|
| J46
Gyroelongated pentagonal Bicupola
|
|
Johnson
|
30 |
20{5}+10{4} |
42 |
30{3}+10{4}+2{5} |
70 |
|
| J47
Gyroelongated pentagonal Cupolarotunda
|
|
Johnson
|
35 |
20{5}+15{4} |
47 |
35{3}+5{4}+7{5} |
80 |
|
| J48
Gyroelongated pentagonal Birotunda
|
Y |
Johnson
|
40 |
20{4}+20{5} |
52 |
40{3}+12{5} |
90 |
|
| J49
Augmented Triangular Prism
|
|
Johnson
|
7 |
5{4}+2{3} |
8 |
6{3}+2{4} |
13 |
|
| J5
pentagonal Cupola(J5)
|
|
Johnson
|
15 |
10{3}+5{4} |
12 |
5{3}+5{4}+1{5}+1{10} |
25 |
|
| J50
Biaugmented Triangular Prism
|
|
Johnson
|
8 |
6{4}+2{5} |
11 |
10{3}+1{4} |
17 |
|
| J51
Triaugmented Triangular Prism
|
|
Johnsondeltahedron
|
9 |
6{5}+3{4} |
14 |
14{3} |
21 |
|
| J52
Augmented pentagonal Prism
|
|
Johnson
|
11 |
6{3}+5{4} |
10 |
4{3}+4{4}+2{5} |
19 |
|
| J53
Biaugmented pentagonal Prism
|
|
Johnson
|
12 |
10{4}+2{3} |
13 |
8{3}+3{4}+2{5} |
23 |
|
| J54
Augmented Hexagonal Prism
|
|
Johnson
|
13 |
8{3}+5{4} |
11 |
4{3}+5{4}+2{6} |
22 |
|
| J55
Parabiaugmented Hexagonal Prism
|
|
Johnson
|
14 |
10{4}+4{3} |
14 |
8{3}+4{4}+2{6} |
26 |
|
| J56
Metabiaugmented Hexagonal Prism
|
|
Johnson
|
14 |
10{4}+4{3} |
14 |
8{3}+4{4}+2{6} |
26 |
|
| J57
Triaugmented Hexagonal Prism
|
|
Johnson
|
15 |
15{4} |
17 |
12{3}+3{4}+2{6} |
30 |
|
| J58
Augmented Dodecahedron
|
|
Johnson
|
21 |
5{4}+1{5}+15{3} |
16 |
5{3}+11{5} |
35 |
|
| J59
Parabiaugmented Dodecahedron
|
|
Johnson
|
22 |
2{5}+10{4}+10{3} |
20 |
10{3}+10{5} |
40 |
|
| J6
pentagonal Rotunda(J6)
|
|
Johnson
|
20 |
10{3}+10{4} |
17 |
10{3}+6{5}+1{10} |
35 |
|
| J60
Metabiaugmented Dodecahedron
|
|
Johnson
|
22 |
10{3}+10{4}+2{5} |
20 |
10{3}+10{5} |
40 |
|
| J61
Triaugmented Dodecahedron
|
|
Johnson
|
23 |
15{4}+3{5}+5{3} |
24 |
15{3}+9{5} |
45 |
|
| J62
Metabidiminished Icosahedron
|
|
Johnson
|
10 |
2{5}+6{4}+2{3} |
12 |
10{3}+2{5} |
20 |
|
| J63
Tridiminished Icosahedron
|
|
Johnson
|
9 |
3{4}+6{3} |
8 |
5{3}+3{5} |
15 |
|
| J64
Augmented Tridiminished Icosahedron
|
|
Johnson
|
10 |
6{4}+4{3} |
10 |
7{3}+3{5} |
18 |
|
| J65
Augmented Truncated Tetrahedron
|
|
Johnson
|
15 |
6{3}+9{4} |
14 |
8{3}+3{4}+3{6} |
27 |
|
| J66
Augmented Truncated Cube
|
|
Johnson
|
28 |
16{3}+12{4} |
22 |
12{3}+5{4}+5{8} |
48 |
|
| J67
Biaugmented Truncated Cube
|
|
Johnson
|
32 |
24{4}+8{3} |
30 |
16{3}+10{4}+4{8} |
60 |
|
| J68
Augmented Truncated Dodecahedron
|
|
Johnson
|
65 |
50{3}+15{4} |
42 |
25{3}+5{4}+1{5}+11{10} |
105 |
|
| J69
Parabiaugmented Truncated Dodecahedron
|
|
Johnson
|
70 |
40{3}+30{4} |
52 |
30{3}+10{4}+2{5}+10{10} |
120 |
|
| J7
Elongated Triangular Pyramid(J7)
|
|
Johnson
|
7 |
4{3}+3{4} |
7 |
4{3}+3{4} |
12 |
|
| J70
Metabiaugmented Truncated Dodecahedron
|
|
Johnson
|
70 |
30{4}+40{3} |
52 |
30{3}+10{4}+2{5}+10{10} |
120 |
|
| J71
Triaugmented Truncated Dodecahedron
|
|
Johnson
|
75 |
30{3}+45{4} |
62 |
35{3}+15{4}+3{5}+9{10} |
135 |
|
| J72
Gyrate Rhombicosidodecahedron
|
|
Johnson
|
60 |
60{4} |
62 |
20{3}+30{4}+12{5} |
120 |
|
| J73
Parabigyrate Rhombicosidodecahedron
|
|
Johnson
|
60 |
60{4} |
62 |
20{3}+30{4}+12{5} |
120 |
|
| J74
Metabigyrate Rhombicosidodecahedron
|
|
Johnson
|
60 |
60{4} |
62 |
20{3}+30{4}+12{5} |
120 |
|
| J75
Trigyrate Rhombicosidodecahedron
|
|
Johnson
|
60 |
60{4} |
62 |
20{3}+30{4}+12{5} |
120 |
|
| J76
Diminished Rhombicosidodecahedron
|
|
Johnson
|
55 |
45{4}+10{3} |
52 |
15{3}+25{4}+11{5}+1{10} |
105 |
|
| J77
Paragyrate Diminished Rhombicosidodecahedron
|
|
Johnson
|
55 |
45{4}+10{3} |
52 |
15{3}+25{4}+11{5}+1{10} |
105 |
|
| J78
Metagyrate Diminished Rhombicosidodecahedron
|
|
Johnson
|
55 |
45{4}+10{3} |
52 |
15{3}+25{4}+11{5}+1{10} |
105 |
|
| J79
Bigyrate Diminished Rhombicosidodecahedron
|
|
Johnson
|
55 |
10{3}+45{4} |
52 |
15{3}+25{4}+11{5}+1{10} |
105 |
|
| J8
Elongated Square Pyramid(J8)
|
|
Johnson
|
9 |
4{3}+5{4} |
9 |
4{3}+5{4} |
16 |
|
| J80
Parabidiminished Rhombicosidodecahedron
|
|
Johnson
|
50 |
20{3}+30{4} |
42 |
10{3}+20{4}+10{5}+2{10} |
90 |
|
| J81
Metabidiminished Rhombicosidodecahedron
|
|
Johnson
|
50 |
30{4}+20{3} |
42 |
10{3}+20{4}+10{5}+2{10} |
90 |
|
| J82
Gyrate Bidiminished Rhombicosidodecahedron
|
|
Johnson
|
50 |
30{4}+20{3} |
42 |
10{3}+20{4}+10{5}+2{10} |
90 |
|
| J83
Tridiminished Rhombicosidodecahedron
|
|
Johnson
|
45 |
15{4}+30{3} |
32 |
5{3}+15{4}+9{5}+3{10} |
75 |
|
| J84
Snub Disphenoid
|
|
Johnsondeltahedron
|
8 |
4{4}+4{5} |
12 |
12{3} |
18 |
|
| J85
Snub Square Antiprism
|
|
Johnson
|
16 |
16{5} |
26 |
24{3}+2{4} |
40 |
|
| J86
Sphenocorona
|
Y |
Johnson
|
10 |
6{4}+4{5} |
14 |
12{3}+2{4} |
22 |
|
| J87
Augmented Sphenocorona
|
|
Johnson
|
11 |
3{4}+8{5} |
17 |
16{3}+1{4} |
26 |
|
| J88
Sphenomegacorona
|
|
Johnson
|
12 |
8{5}+4{4} |
18 |
16{3}+2{4} |
28 |
|
| J89
Hebesphenomegacorona
|
|
Johnson
|
14 |
10{5}+4{4} |
21 |
18{3}+3{4} |
33 |
|
| J9
Elongated pentagonal Pyramid(J9)
|
|
Johnson
|
11 |
5{3}+5{4}+1{5} |
11 |
5{3}+5{4}+1{5} |
20 |
|
| J90
Disphenocingulum
|
|
Johnson
|
16 |
4{4}+12{5} |
24 |
20{3}+4{4} |
38 |
|
| J91
Bilunabirotunda
|
Y |
Johnson
|
14 |
10{4}+4{3} |
14 |
8{3}+2{4}+4{5} |
26 |
|
| J92
Triangular Hebesphenorotunda
|
|
Johnson
|
18 |
18{4} |
20 |
13{3}+3{4}+3{5}+1{6} |
36 |
|