Cubing the Sphere

Similar to Squaring the Circle but in 3D. Used for calculating volume changes of spheres such as may be needed using Square Law and Inverse Square Law computing expanding and contracting sound waves about a creative source.

Volume decreases with increased potential.
Volume increases with decreased potential.

Cube Root of the Volume = SqRt of the Area = Length

"Cubing the Sphere"
(Sphere contiguous with and enclosed by a Cube)

Sphere Volume = 2 X 315 X 5153 = 147,879,835,542

Cube Volume = 65613 = 282,429,536,481

Ratio: 282,429,536,481:147,879,835,542::19,683:10,306 = Diminished Octave or Seventh.

Sphere to Cube = Minor Seventh = 9:5::(2 X 315 X 5153):(65613)

See Also

Figure 6.17 - Areas and Volumes - Relations and Proportions
Figure 6.19 - Sphere to Cube - Relations and Proportions
Quadrature of the Circle to see significance of 5153 and 6561
Quadrature of the Circle (external link) book, to see significance of 5153 and 6561
Polar Interchange - Part I
Table 12.02 - Length Area and Volume Math

Created by Dale Pond. Last Modification: Wednesday 05 of February, 2014 06:19:20 MST by Dale Pond. (Version 6)
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