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         D3v       

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

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
26 2/3
     
√2
61 1/3
     
√2
152
     
√2
220
     
√2
260
     
√2
438 2/3
     
√2
522 2/2
     
√2
618 2/3
       
√2
753 1/3
       
√2
909 1/3
       
√2
1001 1/3
       
√2
1242
       
√2
1400
       
√2
1456
       
√2
1664
       
√2
1960