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 1,1/2,1/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√3
0
     
√3
6 2/3
     
√3
14 2/3
     
√3
34 2/3
     
√3
54 2/3
     
√3
84
     
√3
120
     
√3
160
       
√3
184
       
√3
222 2/3
       
√3
282 2/3
       
√3
324
       
√3
374 2/3
       
√3
406 2/3
       
√3
474 2/3
       
√3
541 1/3