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      Oh             

WATERMAN SOLIDS cuboctahedron and octahedron swept from 2,1,1

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
3 1/3
     
√2
11 1/3
     
√2
23 1/3
     
√2
51 1/3
     
√2
70
     
√2
111 1/3
     
√2
132 2/3
     
√2
178
       
√2
218
       
√2
264 2/3
       
√2
314
       
√2
351 1/3
       
√2
435 1/3
       
√2
467 1/3
       
√2
551 1/3
       
√2
614