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 
Rectangular prism 
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 
Edgetruncated 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 
Edgetruncated trigonal prism 
12 


30 
Dihexagonal prism 
Truncated hexagon 
12 


31 
Hexagonal dipyramid 
Hexagonal prism 
12 

^{†}; 

32 
Dihexagonal dipyramid 
Edgetruncated hexagonal prism 
24 


33 
Tetrahedron 
Tetrahedron 
4 


34 
Cube or hexahedron 
Octahedron 
6 


35 
Octahedron 
Cube 
8 


36 
Pentagontritetrahedron or tetartoid or tetrahedral pentagondodecahedron 
Snub tetrahedron (= pentagontritetrahedron + two tetrahedra) 
12 
23 

37 
Pentagondodecahedron or dihexahedron or pyritohedron 
Irregular icosahedron (= pentagondodecahedron + octahedron) 
12 


38 
Tetragontritetrahedron or deltohedron or deltoiddodecahedron 
Cube and two tetrahedra 
12 


39 
Trigontritetrahedron or tristetrahedron 
Tetrahedron truncated by tetrahedron 
12 


40 
Rhombdodecahedron 
Cuboctahedron 
12 


41 
Didodecahedron or diploid or dyakisdodecahedron 
Cube & octahedron & pentagondodecahedron 
24 


42 
Trigontrioctahedron or trisoctahedron 
Cube truncated by octahedron 
24 


43 
Tetragontrioctahedron or trapezohedron or deltoidicositetrahedron 
Cube & octahedron & rhombdodecahedron 
24 


44 
Pentagontrioctahedron or gyroid 
Cube + octahedron + pentagontrioctahedron 
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 rhombdodecahedron 
48 

