1
|
Pedion or monohedron
|
Single point
|
1
|
|
|
2
|
Pinacoid or parallelohedron
|
Line segment through origin
|
2
|
|
|
3
|
Sphenoid, dome, or dihedron
|
Line segment
|
2
|
mm2
|
|
4
|
Rhombic disphenoid or rhombic tetrahedron
|
Rhombic tetrahedron
|
4
|
222
|
|
5
|
Rhombic pyramid
|
Rectangle
|
4
|
mm2
|
|
6
|
Rhombic prism
|
Rectangle through origin
|
4
|
mmm
|
†
|
7
|
Rhombic dipyramid
|
Quad
|
8
|
mmm
|
|
8
|
Tetragonal pyramid
|
Square
|
4
|
4mm
|
|
9
|
Tetragonal disphenoid or tetragonal tetrahedron
|
Tetragonal tetrahedron
|
4
|
|
|
10
|
Tetragonal prism
|
Square through origin
|
4
|
|
|
‡
|
|
11
|
Tetragonal trapezohedron
|
Twisted tetragonal antiprism
|
8
|
422
|
|
12
|
Ditetragonal pyramid
|
Truncated square
|
8
|
4mm
|
|
13
|
Tetragonal scalenohedron
|
Tetragonal tetrahedron cut off by pinacoid
|
8
|
|
|
14
|
Tetragonal dipyramid
|
Tetragonal prism
|
8
|
|
†;‡
|
15
|
Ditetragonal prism
|
Truncated square through origin
|
8
|
|
|
16
|
Ditetragonal dipyramid
|
Edge-truncated tetragonal prism
|
16
|
|
|
17
|
Trigonal pyramid
|
Trigon
|
3
|
3m
|
|
18
|
Trigonal prism
|
Trigon through origin
|
3
|
|
|
19
|
Trigonal trapezohedron
|
Twisted trigonal antiprism
|
6
|
32
|
|
20
|
Ditrigonal pyramid
|
Truncated trigon
|
6
|
3m
|
|
21
|
Rhombohedron
|
Trigonal antiprism
|
6
|
|
|
22
|
Ditrigonal prism
|
Truncated trigon through origin
|
6
|
|
|
23
|
Hexagonal pyramid
|
Hexagon
|
6
|
6mm
|
|
24
|
Trigonal dipyramid
|
Trigonal prism
|
6
|
|
|
25
|
Hexagonal prism
|
Hexagon through origin
|
6
|
|
|
‡
|
|
26
|
Ditrigonal scalenohedron or hexagonal scalenohedron
|
Trigonal antiprism sliced off by pinacoid
|
12
|
|
|
27
|
Hexagonal trapezohedron
|
Twisted hexagonal antiprism
|
12
|
622
|
|
28
|
Dihexagonal pyramid
|
Truncated hexagon
|
12
|
6mm
|
|
29
|
Ditrigonal dipyramid
|
Edge-truncated trigonal prism
|
12
|
|
|
30
|
Dihexagonal prism
|
Truncated hexagon
|
12
|
|
|
31
|
Hexagonal dipyramid
|
Hexagonal prism
|
12
|
|
†;
|
|
32
|
Dihexagonal dipyramid
|
Edge-truncated hexagonal prism
|
24
|
|
|
33
|
Tetrahedron
|
Tetrahedron
|
4
|
|
|
34
|
Cube or hexahedron
|
Octahedron
|
6
|
|
|
35
|
Octahedron
|
Cube
|
8
|
|
|
36
|
Pentagon-tritetrahedron or tetartoid or tetrahedral pentagon-dodecahedron
|
Snub tetrahedron (= pentagon-tritetrahedron + two tetrahedra)
|
12
|
23
|
|
37
|
Pentagon-dodecahedron or dihexahedron or pyritohedron
|
Irregular icosahedron (= pentagon-dodecahedron + octahedron)
|
12
|
|
|
38
|
Tetragon-tritetrahedron or deltohedron or deltoid-dodecahedron
|
Cube and two tetrahedra
|
12
|
|
|
39
|
Trigon-tritetrahedron or tristetrahedron
|
Tetrahedron truncated by tetrahedron
|
12
|
|
|
40
|
Rhomb-dodecahedron
|
Cuboctahedron
|
12
|
|
|
41
|
Didodecahedron or diploid or dyakisdodecahedron
|
Cube & octahedron & pentagon-dodecahedron
|
24
|
|
|
42
|
Trigon-trioctahedron or trisoctahedron
|
Cube truncated by octahedron
|
24
|
|
|
43
|
Tetragon-trioctahedron or trapezohedron or deltoid-icositetrahedron
|
Cube & octahedron & rhomb-dodecahedron
|
24
|
|
|
44
|
Pentagon-trioctahedron or gyroid
|
Cube + octahedron + pentagon-trioctahedron
|
24
|
432
|
|
45
|
Hexatetrahedron or hexakistetrahedron
|
Cube truncated by two tetrahedra
|
24
|
|
|
46
|
Tetrahexahedron or tetrakishexahedron
|
Octahedron truncated by cube
|
24
|
|
|
47
|
Hexaoctahedron or hexakisoctahedron
|
Cube truncated by octahedron and by rhomb-dodecahedron
|
48
|
|
|