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       D3v       

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

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
16
     
√2
63 1/3
     
√2
132
     
√2
201 1/3
     
√2
284
     
√2
419 1/3
     
√2
484
     
√2
580
       
√2
749 1/3
       
√2
904
       
√2
976
       
√2
1114
       
√2
1438 2/3
       
√2
1549 1/3
       
√2
1652
       
√2
1804