Waterman Polyhedra

Part 2 - Root 25 to 50


Root: 25

Radius: sqrt(50)
Spheres: 767
Vertices: 132
Faces: 134
Edges: 264
Area: 593.99
Volume: 1332
p0025.off
p0025.pov
s0025.pov

Sphere: 0025 Polyhedra: 0025
Root: 26

Radius: sqrt(52)
Spheres: 791
Vertices: 96
Faces: 62
Edges: 156
Area: 608.485
Volume: 1364
p0026.off
p0026.pov
s0026.pov

Sphere: 0026 Polyhedra: 0026
Root: 27

Radius: sqrt(54)
Spheres: 887
Vertices: 120
Faces: 122
Edges: 240
Area: 654.027
Volume: 1540
p0027.off
p0027.pov
s0027.pov

Sphere: 0027 Polyhedra: 0027
Root: 28

Radius: sqrt(56)
Spheres: 935
Vertices: 96
Faces: 74
Edges: 168
Area: 666.437
Volume: 1572
p0028.off
p0028.pov
s0028.pov

Sphere: 0028 Polyhedra: 0028
Root: 29

Radius: sqrt(58)
Spheres: 959
Vertices: 72
Faces: 50
Edges: 120
Area: 676.921
Volume: 1596
p0029.off
p0029.pov
s0029.pov

Sphere: 0029 Polyhedra: 0029
Root: 30

Radius: sqrt(60)
Spheres: 959
Vertices: 72
Faces: 50
Edges: 120
Area: 676.921
Volume: 1596
p0030.off
p0030.pov
s0030.pov

Sphere: 0030 Polyhedra: 0030
Root: 31

Radius: sqrt(62)
Spheres: 1055
Vertices: 96
Faces: 50
Edges: 144
Area: 731.492
Volume: 1740
p0031.off
p0031.pov
s0031.pov

Sphere: 0031 Polyhedra: 0031
Root: 32

Radius: sqrt(64)
Spheres: 1061
Vertices: 102
Faces: 92
Edges: 192
Area: 741.635
Volume: 1808
p0032.off
p0032.pov
s0032.pov

Sphere: 0032 Polyhedra: 0032
Root: 33

Radius: sqrt(66)
Spheres: 1157
Vertices: 96
Faces: 122
Edges: 216
Area: 796.011
Volume: 2074 2/3
p0033.off
p0033.pov
s0033.pov

Sphere: 0033 Polyhedra: 0033
Root: 34

Radius: sqrt(68)
Spheres: 1205
Vertices: 96
Faces: 98
Edges: 192
Area: 811.132
Volume: 2122 2/3
p0034.off
p0034.pov
s0034.pov

Sphere: 0034 Polyhedra: 0034
Root: 35

Radius: sqrt(70)
Spheres: 1253
Vertices: 120
Faces: 74
Edges: 192
Area: 827.315
Volume: 2170 2/3
p0035.off
p0035.pov
s0035.pov

Sphere: 0035 Polyhedra: 0035
Root: 36

Radius: sqrt(72)
Spheres: 1289
Vertices: 84
Faces: 134
Edges: 216
Area: 854.583
Volume: 2306 2/3
p0036.off
p0036.pov
s0036.pov

Sphere: 0036 Polyhedra: 0036
Root: 37

Radius: sqrt(74)
Spheres: 1409
Vertices: 120
Faces: 134
Edges: 252
Area: 897.004
Volume: 2466 2/3
p0037.off
p0037.pov
s0037.pov

Sphere: 0037 Polyhedra: 0037
Root: 38

Radius: sqrt(76)
Spheres: 1433
Vertices: 144
Faces: 122
Edges: 264
Area: 907.692
Volume: 2506 2/3
p0038.off
p0038.pov
s0038.pov

Sphere: 0038 Polyhedra: 0038
Root: 39

Radius: sqrt(78)
Spheres: 1481
Vertices: 96
Faces: 74
Edges: 168
Area: 920.102
Volume: 2538 2/3
p0039.off
p0039.pov
s0039.pov

Sphere: 0039 Polyhedra: 0039
Root: 40

Radius: sqrt(80)
Spheres: 1505
Vertices: 72
Faces: 50
Edges: 120
Area: 930.587
Volume: 2562 2/3
p0040.off
p0040.pov
s0040.pov

Sphere: 0040 Polyhedra: 0040
Root: 41

Radius: sqrt(82)
Spheres: 1553
Vertices: 120
Faces: 146
Edges: 264
Area: 967.629
Volume: 2742 2/3
p0041.off
p0041.pov
s0041.pov

Sphere: 0041 Polyhedra: 0041
Root: 42

Radius: sqrt(84)
Spheres: 1601
Vertices: 72
Faces: 74
Edges: 144
Area: 982.646
Volume: 2774 2/3
0042.off
p0042.pov
s0042.pov

Sphere: 0042 Polyhedra: 0042
Root: 43

Radius: sqrt(86)
Spheres: 1721
Vertices: 168
Faces: 170
Edges: 336
Area: 1046.49
Volume: 3137 1/3
p0043.off
p0043.pov
s0043.pov

Sphere: 0043 Polyhedra: 0043
Root: 44

Radius: sqrt(88)
Spheres: 1745
Vertices: 168
Faces: 170
Edges: 336
Area: 1054.1
Volume: 3169 1/3
p0044.off
p0044.pov
s0044.pov

Sphere: 0044 Polyhedra: 0044
Root: 45

Radius: sqrt(90)
Spheres: 1865
Vertices: 120
Faces: 98
Edges: 216
Area: 1092.68
Volume: 3321 1/3
p0045.off
p0045.pov
s0045.pov

Sphere: 0045 Polyhedra: 0045
Root: 46

Radius: sqrt(92)
Spheres: 1865
Vertices: 120
Faces: 98
Edges: 216
Area: 1092.68
Volume: 3321 1/3
p0046.off
p0046.pov
s0046.pov

Sphere: 0046 Polyhedra: 0046
Root: 47

Radius: sqrt(94)
Spheres: 1961
Vertices: 144
Faces: 122
Edges: 264
Area: 1132.14
Volume: 3497 1/3
p0047.off
p0047.pov
s0047.pov

Sphere: 0047 Polyhedra: 0047
Root: 48

Radius: sqrt(96)
Spheres: 1985
Vertices: 168
Faces: 122
Edges: 288
Area: 1141.13
Volume: 3529 1/3
p0048.off
p0048.pov
s0048.pov

Sphere: 0048 Polyhedra: 0048
Root: 49

Radius: sqrt(98)
Spheres: 2093
Vertices: 108
Faces: 134
Edges: 240
Area: 1182.64
Volume: 3713 1/3
p0049.off
p0049.pov
s0049.pov

Sphere: 0049 Polyhedra: 0049
Root: 50

Radius: sqrt(100)
Spheres: 2123
Vertices: 126
Faces: 176
Edges: 300
Area: 1198.54
Volume: 3829 1/3
p0050.off
p0050.pov
s0050.pov

Sphere: 0050 Polyhedra: 0050

It's obvious that as the root increases then the polyhedra approaches a sphere. For example, root = 500 and 2000 are shown below.


Root: 500

Radius: sqrt(1000)
Spheres: 66427
Vertices: 720
Faces: 698
Edges: 1416
Area: 12452.128
Volume: 130076

Sphere: 0500 Polyhedra: 0500
Root: 2000

Radius: sqrt(4000)
Spheres: 529747
Vertices: 2016
Faces: 1994
Edges: 4008
Area: 50055.358
Volume: 1050876

Sphere: 2000 Polyhedra: 2000


[Part 1 (Introduction, Root 1 to 24)]   [Part 2]   [Part 3 (Diversions)]   [Part 4 (Large models)]