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 bcc swept from 3/2,3/2,1/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√3
4
     
√3
17 1/3
     
√3
28
     
√3
64
     
√3
72
     
√3
121 1/3
     
√3
153 1/3
     
√3
166 2/3
       
√3
228
       
√3
280
       
√3
296
       
√3
380
       
√3
429 1/3
       
√3
457 1/3
       
√3
489 1/3
       
√3
626 2/3