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         C3v       

WATERMAN SOLIDS truncated octahedron and cuboctahedron swept from 3/2,3/2,3/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
9 1/3
     
√2
53 1/3
     
√2
87 1/3
     
√2
162 2/3
     
√2
247 1/3
     
√2
361 1/3
     
√2
449 2;/3
     
√2
552 2/3
       
√2
676
       
√2
723 1/3
       
√2
970 1/3
       
√2
1127 2/3
       
√2
1236 2/3
       
√2
1446
       
√2
1618
       
√2
1852 1/3