Parallelohedron
Written by Paul Bourke 
Cube

4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 
Hexagonal Prism 
a = sqrt(3)/2 b = 1/2
4 a b b a b b a b b a b b 4 0 1 b 0 1 b a b b a b b 4 a b b a b b 0 1 b 0 1 b 4 a b b a b b a b b a b b 4 0 1 b 0 1 b a b b a b b 4 0 1 b a b b a b b 0 1 b 6 a b b 0 1 b a b b a b b 0 1 b a b b 6 a b b 0 1 b a b b a b b 0 1 b a b b 
Truncated Octahedron 
a = 0.5
4 1 0 a 1 a 0 1 0 a 1 a 0 4 1 a 0 1 0 a 1 a 0 1 0 a 4 0 a 1 a 0 1 0 a 1 a 0 1 4 a 0 1 0 a 1 a 0 1 0 a 1 4 a 1 0 0 1 a a 1 0 0 1 a 4 0 1 a a 1 0 0 1 a a 1 0 6 a 0 1 0 a 1 0 1 a a 1 0 1 a 0 1 0 a 6 a 0 1 1 0 a 1 a 0 a 1 0 0 1 a 0 a 1 6 0 a 1 0 1 a a 1 0 1 a 0 1 0 a a 0 1 6 a 0 1 1 0 a 1 a 0 a 1 0 0 1 a 0 a 1 6 a 0 1 0 a 1 0 1 a a 1 0 1 a 0 1 0 a 6 a 0 1 1 0 a 1 a 0 a 1 0 0 1 a 0 a 1 6 0 a 1 0 1 a a 1 0 1 a 0 1 0 a a 0 1 6 a 0 1 1 0 a 1 a 0 a 1 0 0 1 a 0 a 1 
Rhombic Dodecahedron 
a = 1/2
4 1 0 0 a a a 0 0 1 a a a 4 1 0 0 a a a 0 0 1 a a a 4 0 0 1 a a a 1 0 0 a a a 4 0 0 1 a a a 1 0 0 a a a 4 0 1 0 a a a 1 0 0 a a a 4 0 1 0 a a a 0 0 1 a a a 4 0 1 0 a a a 1 0 0 a a a 4 0 1 0 a a a 0 0 1 a a a 4 0 1 0 a a a 1 0 0 a a a 4 0 1 0 a a a 0 0 1 a a a 4 0 1 0 a a a 1 0 0 a a a 4 0 1 0 a a a 0 0 1 a a a 
Elongated Rhombic Dodecahedron 
a = 1/2 b = 3/2
4 1 0 a a a 1 0 0 b a a 1 4 1 0 a a a 1 0 0 b a a 1 4 0 0 b a a 1 1 0 a a a 1 4 0 0 b a a 1 1 0 a a a 1 4 0 1 a a a 1 0 0 b a a 1 4 0 1 a a a 1 0 0 b a a 1 4 0 1 a a a 1 0 0 b a a 1 4 0 1 a a a 1 0 0 b a a 1 6 a a 1 0 1 a 0 1 a a a 1 1 0 a 1 0 a 6 a a 1 0 1 a 0 1 a a a 1 1 0 a 1 0 a 6 a a 1 1 0 a 1 0 a a a 1 0 1 a 0 1 a 6 a a 1 1 0 a 1 0 a a a 1 0 1 a 0 1 a 