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      C4h            

WATERMAN SOLIDS truncated octahedron and cuboctahedron swept from 1,0,0

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
3 1/3
     
√2
18
     
√2
74 2/3
     
√2
128
     
√2
232 2/3
     
√2
306 2/3
     
√2
391 1/3
     
√2
501 1/3
       
√2
641 1/3
       
√2
702 2/3
       
√2
936
       
√2
1017 1/3
       
√2
1259 1/3
       
√2
1322 2/3
       
√2
1566 2/3
       
√2
1730 2/3