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      C4v            

WATERMAN SOLIDS cuboctahedron and octahedron 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
4 2/3
     
√2
20 2/34
     
√2
48 2/3
     
√2
60 2/3
     
√2
94 1/3
     
√2
123 1/3
     
√2
162
       
√2
211 1/3
       
√2
255 1/3
       
√2
298
       
√2
328 2/3
       
√2
420 2/3
       
√2
458
       
√2
506
       
√2
588 2/3