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      C2v             

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

Click on blue numbers to view polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

name
 
 C
 D
 G
Z
 
√e
total volume
     
√2
3 1/3
     
√2
17 1/3
     
√2
26 2/3
     
√2
52
     
√2
86 2/3
     
√2
114
     
√2
147 1/3
     
√2
191 1/3
       
√2
219 1/3
       
√2
280
       
√2
332
       
√2
368 2/3
       
√2
440 2/3
       
√2
476 2/3
       
√2
549 1/3
       
√2
624 2/3