Waterman's Polyhedral Mensuration chart
copyright by Steve Waterman June 2010

 Note: To view WRL files, download the latest version of Cortona from here
All Polyhedron Volumes = the shortest edge3 times the volume / √e values below.
 

                     SYMMETRY     C4v             

WATERMAN SOLIDS truncated octahedron and cuboctahedron swept from 2,2,1/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
4 2/3
     
√2
46
     
√2
84
     
√2
186
     
√2
281 1/3
     
√2
335 1/3
     
√2
459 1/3
     
√2
550
       
√2
746
       
√2
867 1/3
       
√2
970
       
√2
1116 2/3
       
√2
1272 2/3
       
√2
1418 2/3
       
√2
1630
       
√2
1790