Untitled Document

Waterman's Polyhedral Mensuration chart
copyright by Steve Waterman June 2010

Note: To view WRL files, download the latest version of Cortona from here

WATERMAN SOLIDS
BCC
swept from 0,0,0

LATTICE strut lengths

√3 √4 √8 √12 √16 √20 √24 √32 √36 √40 √44 √48 √52 √56 √64

SYMMETRIES Oh

Conway Dual Geodesicized Zonohedrified
Click on blue numbers to view rotatable polyhedron.

√	name	C	D	G	Z		√edge	total volume
1		1	1	1	1		3	16
2		2	2	2	2		8	53 1/3
3		3	3	3	3		3	120
4		4	4	4	4		12	128
5		5	5	5	5		3	309 1/3
6		6	6	6	6		16	362. 2/3
7		7	7	7	7		12	424
8		8	8	8	8		16	552
9		9	9	9			3	805 1/3
10		10	10	10			8	853 1/3
11		11	11	11			8	954 2/3
12		12	12	12			12	960
13		13	13	13			3	1336
14		14	14	14			16	1528
15		15	15	15			8	1677 1/3
16		16	16	16			8	1733 1/3
17							3	1914 2/3
18							8	2250 2/3
19							3	2448
20							12	2496
21							4	2936
22							4	2989 1/3
23							8	3085 1/3
24							4	3181 1/3
25							3	3834 2/3
26							8	4106 2/3
27							4	4228
28							4	4228
29							3	4704
30							8	4768
31							4	4973 1/3
32							4	5209 1/3
33							3	5981 1/3
34							8	6402
35							12	6506
36							4	6752
37							4	7136
38							4	7136
39							8	7280
40							12	7360
41							3	8101 1/3
42							8	8277 1/3
43							3	8893 1/3
44							4	8957 1/3
45							4	9570 2/3
46							8	9634 2/3
47							8	9724 2/3
48							8	9736
49							3	10400
50							8	11136
51							3	11552
52							8	11616
53							3	12085 1/3
54							8	12581 1/3
55							4	12789 1/3
56							4	12949 1/3
57							4	13410 2/3
58							4	13602 2/3
59							4	13602 2/3
60							4	13810 2/3
61							3	15176
62							8	15416
63							4	15928
64							4	16064
65							3	16640
66							8	16789 1/3
67							3	17269 1/3
68							4	17477 1/3
69							4	18053 1/3
70							2	18133 1/3
71							8	18298 2/3
72							8	18970 1/3
73							2	19666 2/3
74							2	20434 2/3
75							2	21048
76							2	21096
77							8	21528
78							8	21752
79							2	22104
80							2	22168
81							8	23173 1/3
82							8	23301 1/3
83							3	23638 1/3
84							4	23801 1/4
85							2	25189 1/3
86							2	25562 2/3
87							8	25786 2/3
88							2	25834 2/3
89							3	26986 2/3
90							8	27338 2/3
91							8	27960
92							8	27960
93							8	28600
94							2	28856
95							8	28920
96							8	29336
97							8	29949 1/3
98							8	31149 1/3
99							3	31869 1/3
100							8	32133 1/3
101							8	32693 1/3
102							8	32757 1/3
103							2	33418 2/3
104							2	33722 2/3
105							3	34922 2/3
106							8	35114 2/3
107							8	35322 2/3
108							8	35488
109							8	36128
110							8	36416
111							2	36872
112							2	36982
113							3	38776
114							8	39112
115							3	39981 1/3
116							8	40365 1/3
117							2	41117 1/3

SYMMETRIES

Cs Ci C2 C3 C4 C5 C6 C10 C2v C3v C4v C5v C6v C2h C3h C4h C5h C6h C10h

D2 D3 D4 D5 D6 D10 D2v D3v D4v D5v D6v D10v D2h D3h D4h D5h D6h D10h

S2 S4 S6 S10 S12 S20 T Td Th O Oh I Ih

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