Conversion Tables by Volume

for the tetrahedron - cube - octahedron

by edge chart

by Steve Waterman copyright may 2010


How many of line number x, are there in line number y ?

Examples....see the "by edge chart" above.

 
tetrahedron

cube

octahedron

 

volume

 

edge = F

tet cube octahedron

Radius

of circumscribing sphere

tet cube octahedron
1
tetrahedron
0.44545 0.27278
2
cube
1/96
0.17184
F
3
octahedron
0.28062
0.17184
4
tetrahedron
0.49028 0.30023
5
cube
1/72
0.21840
F
6
octahedron
0.33994
0.24038
7
tetrahedron
0.56123 0.34368
8
cube
1/48
0.27516
F
9
octahedron
0.34878
0.24662
10
tetrahedron
0.70711 0.43301
11
cube
1/24
0.34668
F
12
octahedron
0.44545
0.27278
13
tetrahedron
0.89090 0.54556
14
cube
1/12
0.43679
F
15
octahedron
0.61252
0.37509
16
tetrahedron
1.01982 0.62451
17
cube
1/8
0.5
F
18
octahedron
0.64245
0.45428
19
tetrahedron
1.12246 0.68737
20
cube
1/6
0.55032
F
21
octahedron
0.70711
0.43301
22
tetrahedron
1.28490 0.78674
23
cube
1/4
0.57236
F
24
octahedron
0.80943
0.49568
25
tetrahedron
1.41421 0.88605
26
cube
1/3
0.69336
F
27
octahedron
0.89090
0.54556
28
tetrahedron
1.61887 0.99135
29
cube
1/2
0.73937
F
30
octahedron
1.01982
0.62451
31
tetrahedron
1.73737 1.06392
32
cube
φ
0.85180
F
33
octahedron
1.09448
0.67023
34
tetrahedron
1.78180
1.09112
35
cube
2/3
0.87358
F
36
octahedron
1.12246
0.68737
37
tetrahedron
1.81712
1.11275
38
cube
√1/2
0.89089
F
39
octahedron
1.14466
0.70096
40
tetrahedron
2.03965
1.24902
41
cube
1
1
F
42
octahedron
1.28490
0.78684
43
tetrahedron
2.24492
1.37473
44
cube
4/3
1.00064
F
45
octahedron
1.41421
0.88603
46
tetrahedron
2.28943
1.40198
47
cube
√2
1.12246
F
48
octahedron
1.44225
0.88319
49
tetrahedron
2.39452
1.46634
50
cube
Φ
1.17398
F
51
octahedron
1.50845
0.92373
52
tetrahedron
2.44949
1.5
53
cube
√3
1.20094
F
54
octahedron
1.54308
0.94494
55
tetrahedron
2.56980
1.57367
56
cube
2
1.25992
F
57
octahedron
1.61887
0.99135
58
tetrahedron
2.74946
1.68369
59
cube
√6
1.34801
F
60
octahedron
1.73205
1.06066
61
tetrahedron
2.76823
1.69519
62
cube
2.5
1.35721
F
63
octahedron
1.74386
1.06790
64
tetrahedron
2.82843
1.73205
65
cube
8/3
1.38672
F
66
octahedron
1.78180
1.09112
676
tetrahedron
2.88450
1.76639
68
cube
√8
1.41421
F
69
octahedron
1.81712
1.11275
70
tetrahedron
2.94168
1.80141
71
cube
3
1.44225
F
72
octahedron
1.85314
1.13481
73
tetrahedron
3.08616
1.88988
74
cube
√12
1.51264
F
75
octahedron
1.94416
1.19055
76
tetrahedron
3.09679
1.89639
77
cube
3.5
1.51829
F
78
octahedron
1.95085
1.19465
79
tetrahedron
3.23774
1.98270
80
cube
4
1.58740
F
81
octahedron
2.03965
1.24902
82
tetrahedron
3.36739
2.06209
83
cube
4.5
1.65096
F
84
octahedron
2.12132
1.29904
85
tetrahedron
3.48751
2.13580
86
cube
5
1,70998
F
87
octahedron
2.19715
1.34547
88
tetrahedron
3.56360
2.18225
89
cube
16/3
1.74716
F
90
octahedron
2.24492
1.37473
91
tetrahedron
3.60034
2.20475
92
cube
5.5
1.76517
F
93
octahedron
2.26807
1.38890
94
tetrahedron
3.70629
2.29630
95
cube
6
1.81712
F
96
octahedron
2.33482
1.42978
97
tetrahedron
3.88832
2.38110
98
cube
√48
1.90637
F
99
octahedron
2.44949
1.5
100
tetrahedron
3.99248
2.44880
101
cube
7.5
1.95743
F
102
octahedron
2.51510
1.54018
103
tetrahedron
4.16017
2.54757
104
cube
√72
2.03965
F
105
octahedron
2.62074
1.60487
106
tetrahedron
4.39429
2.69094
107
cube
10
2.15443
F
108
octahedron
2.76823
1.69519
109
tetrahedron
4.66963
2.85955
110
cube
12
2.28943
F
111
octahedron
2.94168
1.80141
112
tetrahedron
4.73361
2.89873
113
cube
12.5
2.32079
F
114
octahedron
2.98198
1.82609
115
tetrahedron
5.03021
3.08036
116
cube
15
2.46621
F
117
octahedron
6.47548
3.96541
118
tetrahedron
5.13959
3.14735
119
cube
16
2.51984
F
120
octahedron
3.23774
1.98270
121
tetrahedron
5.34539
3.27337
122
cube
18
2.62074
F
123
octahedron
3.36739
2.06209
124
tetrahedron
5.53646
3.39037
125
cube
20
2.71442
F
126
octahedron
3.48775
2.13580
127
tetrahedron
5.88337
3.60281
128
cube
24
2.88450
F
129
octahedron
3.70629
2.26963
130
tetrahedron
6.11895
3.74707
131
cube
27
3
F
132
octahedron
3.85469
2.36051
133
tetrahedron
6.47548
3.96541
134
cube
32
3.17480
F
135
octahedron
4.07930
2.49805
136
tetrahedron
6.73477
4.12419
137
cube
36
3.30193
F
138
octahedron
4.23264
2.59808
139
tetrahedron
7.41258
4.53926
140
cube
48
3.63424
F
141
octahedron
4.66963
2.85955
142
tetrahedron
8.48528
5.19615
143
cube
72
4.16017
F
144
octahedron
5.34539
3.27337
145
tetrahedron
9.33926
5.71911
146
cube
96
4.57886
F
147
octahedron
5.88337
3.60281
148
tetrahedron
6.29469
10.27919
149
cube
128
4.36449
F
150
octahedron
4.57886
64.7548
151
tetrahedron
10.69078
6.54674
152
cube
144
5.24674
F
153
octahedron
6.73478
4.12419


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