(click to enlarge)

**Cubing the Sphere**(as in Squaring the Circle)

Sphere Volume = 2*3

^{15}*5153 = 147879835542

Cube Volume = 6561

^{3}= 282429536481

Ratio: Sphere to Cube = Minor Seventh = 5:9::(2*3

^{15}*5153):(6561

^{3})

[see Quadrature of the Circle, PI, 6.14.1 - Mirror Cube, Wave Field]

3

3 X 2 = 6

3 X 3 = 9 (square)

3 X 4 = 12, etc.

3

^{1}= 3

3

^{2}= 9 (square)

3

^{3}= 27 (cube) 3

^{4}= 81 or

9

^{1}= 9 (3

^{2})

9

^{2}= 81 (3

^{2}X 3

^{2}) (square made of 81 smaller squares)

9

^{3}= 729 (3

^{2}X 3

^{2}X 3

^{2}) (cube made of 729 smaller cubes)

27 is the cube of 3. Think of a cube with 3 on each side. Such a cube can be broken up into 27 smaller cubes.

729 is the cube of 9. Think of a cube with 9 on each side. Such a cube can be broken up into 729 smaller cubes.

3 is the square root of 9. 3x3

3 is the cube root of 27. 3x3x3

9 is the square root of 81. 9x9

9 is the cube root of 729. 9x9x9

Music, arithmetic and geometry are three sides of the same triangle. Numbers 2 and 3 make up most musical notes until 5 is added in which makes everything wacko, but does fill in the missing notes. Let's do some more.....

Cube Volume = diameter

^{3}

Sphere Volume = 1/6 * PI * diameter

^{3}

A sphere enclosed in a cube means its diameter is the same as one side of the cube or we could say the sphere diameter = the cube root of the cube. Let's use 9 as our diameter, so:

Cube Volume = 729

Sphere Volume =

1/6 * PI * diameter

^{3}=

1/6 * 3.14 * 9

^{3}=

1/6 * 3.14 * 243 =

3.14 * 243/6 =

763.02/6 = 127.17

If we did the same thing with 3 as diameter we have:

Cube Volume = 27

Sphere Volume = 14.13

Void = 27-14.13 or 12.87 parts of the cube

This all looks uninteresting until we remember that sound expands in spherical waves - NOT linear sine wave patterns. One series of base 2 is smaller cubes and spheres than a series of 3 base.

Musically this is something like:

27:14.13:: ninth

14.13:12.87:: seventh

27:12.87:: fourth?

Dale Pond

some references from (from Mechanical Engineer's Handbook, Lionel Marks, 5th edition, 1951.)

**Russell**

"The entire birth and growth of matter matures at carbon. It matures as a flaming true sphere, any part of which will crystallize as a true cube when frozen into form. The cold cube of space and the hot sphere of matter are the consummate forms of Nature. Beyond that they cannot go. Also, they are Nature's limitations in pressures, temperatures and frequencies. Beyond the cube and the sphere they cannot go. When you understand this fundamental of Nature you will then understand WHY and HOW you and all things live, and WHY and HOW you die. Follow this explanation carefully then, and you will know. As to "WHERE you go when you die," that can wait, but that also you will know before you finish this book. We will leave this idea of

**cube-sphere**limitation, and its reversal for a moment, but will return." [Atomic Suicide, page 34]

See Also

**Constructive Cubes**

**Corner Cube Prisms**

**Corner Cube Retro-Reflectors**

**Corner cube retroreflectors**

**Cube Sphere**

**Figure 3.16 - Idea Preceeds Manifestation in Material Form using Cubes and Cones**

**Figure 3.26 - Formation of Spheres along Six Vectors of Cubes**

**Figure 3.4 - Focalizing Lenses at nested Cube faces**

**Figure 4.11 - Six Planes and Three Shafts Coincide to Produce Spheres**

**Figure 5.4 - Vortex and Gyroscopic Motion on One Plane then on three forming Sphere**

**Figure 6.0.5 - Cube with Vortices showing Structural Relations**

**Figure 6.1 - Orthogonal Vortex Motion as Structural base of Cubes**

**Figure 6.10 - Wave Dynamics between Cube Corners**

**Figure 6.11 - Cube Corner Reflectors Dissipating and Concentrating**

**Figure 6.12 - Spheres and Cubes are Gods Only Tools**

**Figure 6.14 - Triple Three Cubes**

**Figure 6.15 - The Neutral Cube**

**Figure 6.16 - Juxtaposed Corner Cubes**

**Figure 6.18 - Sphere Circumscribed by Cube**

**Figure 6.19 - Sphere to Cube - Relations and Proportions**

**Figure 6.3 - Cube with Orthogonal Vectors**

**Figure 6.8 - Resulting in a Cube mutually assimilating to a Common Center**

**Figure 7.3 - Step 3 - Sphere Forms Orthogonally Triple Compressing Shell Layers**

**Figure 10.06 - Vortices in Cube extending in to and out from Center**

**Figure 13.02c - Dynasphere Neutral Center**

**Figure 16.02 - Electricity Evolves Mass into Spheres**

**Figure 2.1.5 - Russells Rings forming Spheres from Three Pairs of Reflecting Mirrors**

**Geometry**

**Keely Sphere Was No Secret**

**Kepler Music of the Spheres**

**Music of the Spheres**

**Musical Dynasphere**

**Noosphere**

**One More Step Toward Building The Cube-Sphere Wave-Field**

**Part 05 - Three Rotating Planes Become Spheres**

**Part 06 - Formation of Cubes**

**PI**

**Quadrature of the Circle**

**This Three Dimensional Cube Universe of Nine**

**Thoughtsphere**

**Wave Field**

**We Now Build the Nine Equators of Cube-Sphere Wave-Fields**

**5.6 - Vortex Forming Spheres**

**6.0.5 - Space seen as Constructive Cubes**

**6.10 - Nineness of Cubes**

**6.11 - Neutral Cubes**

**6.12 - Corner and Face Cubes**

**6.14 - Sphere and Cube**

**6.14.1 - Mirror Cube**

**6.2 - Development of Cubes**

**6.5 - Cubes divide into six tetrahedrons**

**6.6 - Cube Corner Retroreflectors**

**6.7 - Corner receivers from corners of cubes**

**6.7.5 - Compound Cubes**

**2.1 - Rings and Spheres**