Waterman's Polyhedral Mensuration chart
copyright by 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      D2h             

WATERMAN SOLIDS fcc swept from 1/2,1/2,0

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
1 1/3
     
√2
11 1/3
     
√2
24 2/3
     
√2
44 2/3
     
√2
78
     
√2
91 1/3
     
√2
150 2/3
     
√2
170 2/3
       
√2
222
       
√2
250 2/3
       
√2
332
       
√2
370 2/3
       
√2
410 2/3
       
√2
478 2/3
       
√2
521 1/3
       
√2
593 1/3