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          D4h       

WATERMAN SOLIDS bcc swept from 1,1,0

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√3
2 2/3
     
√3
29 1/3
     
√3
66 2/3
     
√3
146 2/3
     
√3
232
     
√3
274 2/3
     
√3
434 2/3
     
√3
514 2/3
       
√3
632
       
√4
728
       
√3
935
       
√3
1042 2/3
       
√3
1261 1/3
       
√3
1400
       
√4
1432
       
√3
1736