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.
 

                     SYMMETRIES      Td             

WATERMAN SOLIDS fcc swept from 1/2,1/2,1/2

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
1/3
     
√2
7 2/3
     
√2
21
     
√2
48 1/3
     
√2
68 1/3
     
√2
93 2/3
     
√2
131 2/3
     
√2
189
       
√2
201
       
√2
250 1/3
       
√2
320 1/3
       
√2
344 1/3
       
√2
433 2/3
       
√6
461 2/3
       
√2
485 2/3
       
√2
573