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 1,1,1

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
1 1/3
     
√2
32
     
√2
90 2/3
     
√2
134 2/3
     
√2
238 1/3
     
√2
329 1/3
     
√2
385 1/3
     
√2
580
       
√4
664
       
√2
740
       
√2
1010 2/3
       
√2
1114 2/3
       
√2
1230 2/3
       
√2
1402 2/3
       
√2
1589 1/3
       
√2
1769 1/3