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          C3v       

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

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
5 1/3
     
√2
39
     
√2
80 1/3
     
√2
160
     
√2
233
     
√2
312 2/3
     
√2
454 2/3
     
√2
512 2/3
       
√2
661 1/3
       
√2
838 1/3
       
√2
927 1/3
       
√2
1043 1/3
       
√2
1274
       
√2
1470
       
√2
1504
       
√2
1712