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      Cs      

WATERMAN SOLIDS hcp diamond swept from 0,0,1/2

Click on blue numbers to view polyhedron.

Dual      Geodesicized      Zonohedrified  

name
 
 D
 G
Z
 
√e
total volume
     
√18
18
     
√18
72
     
√18
72
     
√18
1296
     
√18
1710
     
√18
2214
     
√18
2214
     
√18
2388
       
√18
3312
       
√18
5040
       
√18
5598
       
√18
6678
       
√18
8646
       
√18
9342
       
√18
10350
       
√18
11196