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.
 

LATTICE   strut lengths

√2   √4  √6  √8  √10  √12   √14  √16   √18  √20   √22   √24   √26  √30  √32

                     SYMMETRIES      Oh     

WATERMAN SOLIDS fcc swept from 0,0,0
Click on blue numbers to view rotatable polyhedron.

Conway       Dual      Geodesicized      Zonohedrified  

√	name	C	D	G	Z		√e	total volume =	√
1		1	1	1	1			2.357022603955
2		2	2	2	2		4	3.77123616632825
3		3	3	3	3			16.027753706895
4		4	4	4	4		4	18.8561808316413
5		5	5	5	5			28.755675768253
6		6	6	6	6			41.012193308820
7		7	7	7	7			60.811183182043
8		8	8	8	8			70.710678118655
9		9	9	9			2	87.6812408671329
10		10	10	10			4	90.5096679918781
11		11	11	11				119.736748280922
12		12	12	12			4	128.222029655161
13		13	13	13				174.891077213473
14		14	14	14				same as above
15		15	15	15				191.861639961950
16		16	16	16				200.346921336189
17								246.544564373710
18							3	267.757767809307
19								307.355747555753
20								315.841028929992
21								344.125300177453
22								358.267435801184
23							2	369.581144300173
24							2	404.46507883871
25								470.933116270241
26								482.246824769225
27								544.472221513642
28								555.785930012626
29							3	564.271211386868
30								same as above
31								615.182899632296
32								639.224530192639
33								733.505434350846
34							2	750.475997099331
35								767.446559847799
36								815.529820968484
37								872.098363463410
38								886.240499087140
39							2	897.554207586135
40							3	906.039488960367
41								969.679099267153
42								980.992807766137
43								1109.21483742130
44								1120.52854592028
45								1174.26866129046
46								same as above
47								1236.49405803488
48								1247.80776653386
49							2	1312.86159040304
50							2	1353.87378371186
51							2	1382.15805495932
52							4	1399.12861770778
53								1461.35401445220
54								1538.66435586193
55								1595.23289835685
56								same as above
57								1674.42885784974
58								1702.71312909720
59								1764.93852584164
60							2	1776.25223434062
61								1868.17611589486
62								same as above
63								1927.57308551453
64								1964.34263813623
65							3	1978.48477375997
66							3	2032.22488944694
67								2174.58905440903
68								2217.01546128022
69								2250.95658677718
70								2267.92714952566
71								2287.72613939887
72								2340.05204120669
73								2504.10081444196
74								2512.58609581620
75							2	2574.81149256064
76							2	2600.26733668335
77								2637.03688930503
78								same as above
79							2	2676.6348690515
80							2	2682.2917233010
81								2884.05285819954
82								2920.82241082123
83								3000.01837031413
84								3011.33207881310
85								3131.54023161483
86								3148.51079436331
87								3199.42248260873
88								3258.819452228400
89							3	3306.90271334910
90							4	3340.84383884605
91								3445.49564246165
92								3479.43676795862
93							3	3521.86317482984
94								same as above
95								3544.49059182778
96								3627.45778748702
97								3808.47712347074
98								3877.77358802704
99							2	3942.82741189623
100							2	3999.39595439115
101							3	4030.50865276335
102							3	4084.24876735538
103								4200.21428024809
104								4208.69956162233
105								4293.55237536472
106								4333.15035511117
107							3	4369.91990773288
108							3	4412.3463146041
109							3	4463.25800284953
110								same as above
111								4573.56666071457
112								4584.88036921355
113								4762.59987355178
114								4841.79583304469
115								4980.38876215726
116								5014.32988765423
117								5124.63854551931
1K								76458.6964972256
2K								106609.395314783
5K								674164.867224567