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.
 

                     SYMMETRIES      C4v              

WATERMAN SOLIDS fcc swept from 1,1,1/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
2/3
     
√2
7 1/3
     
√2
24 2/3
     
√2
48 2/3
     
√2
64 2/3
     
√2
104 2/3
     
√2
128 2/3
     
√2
167 1/3
       
√2
216 2/3
       
√2
268 2/3
       
√2
302
       
√2
339 1/3
       
√2
423 1/3
       
√2
463 1/3
       
√2
510
       
√2
599 1/3