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 cuboctahedron and octahedron swept from 1,0,0

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√4
8
     
√4
29 1/3
     
√2
29 1/3
     
√2
66 2/3
     
√4
114 2/3
     
√2
132
     
√2
132
     
√2
224
       
√2
276
       
√2
318 2/3
       
√2
318 2/3
       
√2
368
       
√2
492
       
√2
566 2/3
       
√2
566 2/3
       
√4
625 1/3