Conversion Tables by edge length

for the tetrahedron - cube - octahedron

by volume chart

by Steve Waterman copyright may 2010

Examples;

A cube of volume 2 has many tetrahedron of edge 1? line 32 / line 16 = 67.28890

How many tetrahedrons of edge 2 in a octahedron of edge 3? line 45 / line 31 = 13.50000

How many tetrahedrons of edge 2 in a octahedron of volume 3? line 73 [ volume chart ] / line 31 = 1.96583

#
tetrahedron

cube

octahedron

Edge

and

Frequency

tet

Volumes

cube

octahedron  
tet
Radius
of circumscribing sphere

cube

octahedron
     
 
1
tetrahedron
 
0.00023
 
0.07655
2
cube
1/8
0.00195
 
0.10825
3
octahedron
  
0.00092
  
0.08839
4
tetrahedron
 
0.00184
 
0.15309
5
cube
1/4

0.01563
 
0.21652
6
octahedron
  
0.00737
  
0.17678
7
tetrahedron
  
0.01473
 
0.30611
8
cube
1/2
0.125
 
0.43301
9
octahedron
  
0.05893
  
0.35355
10
tetrahedron
  
0.27821
 
0.37847
11
cube
φ
0.23606
 
0.53523
12
octahedron
  
0.11128
  
0.45702
13
tetrahedron
  
0.41650
 
0.48295
14
cube
√(1/2)
0.35355
 
0.61237
15
octahedron
  
0.16660
  
0.49993
16
tetrahedron
  
0.11785
 
0.61237
17
cube
1
1
 
0.86603
18
octahedron
  
0.47141
  
0.70711
19
tetrahedron
  
0.33333
 
0.86603
20
cube
√2
2.82843
 
1.22484
21
octahedron
 
1.33333
  
1
22
tetrahedron
  
0.39775
 
0.91856
23
cube
1.5 
3.375
 
1.29904
24
octahedron
 
1.59099
  
1.06066
25
tetrahedron
  
0.49923
 
0.57206
26
cube
Φ
4.23607
 
1.40126
27
octahedron
 
1.99690
  
1.11441
28
tetrahedron
  
0.61237
 
0.61237
29
cube
√3
5.19645
 
1.5
30
octahedron
 
2.44949
  
1.22474
31
tetrahedron
  
0.94281
 
1.22474
32
cube
2
8
 
1.73205
33
octahedron
 
3.77124
  
1.41421
34
tetrahedron
  
1.73205
 
1.5
35
cube
√6
14.6969
 
2.12132
36
octahedron
 
6.92821
  
1.73205
37
tetrahedron
  
1.84142
 
1.53093
38
cube
2.5
15.625
 
2.16506
39
octahedron
 
8.3657
  
1.74777
40
tetrahedron
  
2.66667
 
1.73205
41
cube
√8
22.6274
 
2.44949
42
octahedron
 
10.6667
  
2
43
tetrahedron
  
3.18198
 
1.83712
44
cube
3
27
 
2.59808
45
octahedron
 
12.7279
  
2.12132
46
tetrahedron
  
4.89898
 
2.12132
47
cube
√12
41.5692
 
3
48
octahedron
 
19.5959
  
2.44949
49
tetrahedron
  
5.055287
 
2.14330
50
cube
3.5
42.875
 
3.03109
51
octahedron
 
20.2115
  
2.47487
52
tetrahedron
  
7.54247
 
2.44949
53
cube
4
64
 
3.46410
54
octahedron
 
30.1699
  
2.82843
55
tetrahedron
  
10.3792
 
2.75568
56
cube
4.5
91.125
 
3.89711
57
octahedron
  
42.9567
  
3.18198
58
tetrahedron
  
13.8565
 
3
59
cube
√24
117.575
 
4.24624
60
octahedron
55.4256
  
3.46410
61
tetrahedron
  
14.7314
 
3.06186
62
cube
5
125
 
4.33013
63
octahedron
 
58.9256
  
3.53553
64
tetrahedron
  
19.6075
 
3.36805
65
cube
5.5
166 375
 
4.76314
66
octahedron
 
78.4299
  
5.88909
67
tetrahedron
  
25.4558
 
3.67423
68
cube
6
216
 
5.19615
69
octahedron
 
101.823
  
4.24264
70
tetrahedron
  
39.1918
 
4.24624
71
cube
√48
352.555
 
6
72
octahedron
 
117.722
  
4.45350
73
tetrahedron
  
72
   
5.19615
74
cube
√72
610.94
    
7.34847
75
octahedron
 
288
  
6
76
tetrahedron
  
203.647
   
7.34847
77
cube
12
  
1728
    
10.3923
78
octahedron
     
814.587
  
8.48528


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