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 tetrahedron truncated octahedron swept from 1/2,1/2,1/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
3 1/3
     
√2
14
     
√2
156 2/3
     
√2
219
     
√2
315 1/3
     
√2
413 1/3
     
√2
493 2/3
     
√2
663
       
√2
784 1/3
       
√2
901 1/3
       
√2
1057 1/3
       
√2
1223 2/3
       
√2
1351
       
√2
1523
       
√2
1812 1/3
       
√2
1907 1/3