Paul Maddock - The Basics of 3D Platonic Order.

CubicWonder is an integrated System of PLATO and BUCKY Cubes.

This Chapter will cover some of the basics of this 3-Dimensional System of Cubes that can grow to Infinity in a Wonderful 3D Geometric Order.

More Info : https://www.youtube.com/watch?v=bwVDhRUz-X0

F1 A1 Shows the basic CubicWonder arrangement.

The Plato Cube and Bucky Cube will integrate in perfect harmony and each Cube is made up of 4 Chico Cubes and 4 Chica Cubes.

The Chico and Chico Cubes are each made up of 4 corner pieces about a centre Tetrahedron called Tetras.

The illustration shows the colour arrangement of the cubes are being kept to a perfect 3-dimensional order. The Purple Tetra and Yellow Tetra are always opposite each other about the long diagonal of the Bucky Cube or the Plato Cube.

The Plato Cube and Bucky Cubes each contain 40 pieces although the 40 pieces can be split into a further 384 segments which are shown on thepaultm YouTube channel.

F1 A2 shows that the Tetra Pieces of the Plato Cube reveal a Dual Tetrahedron also known as the 8-Pointed Star.

The Bucky Cube reveals what is called the Tetra-Hemi-Hexahedron and it can produce the what Mr. Buckminster Fuller called the Vector Equilibrium.

The Dual Tetrahedron and the Tetra-Hemi-Hexahedron could be regarded as a Dual and the same applies to the Bucky and Plato Cube because they are the exact opposite. Duality seams to be a very important feature in 3-dimensional Order.

F1 A3 shows an arrangement of Plato and Bucky Cubes as shown.

When 8 Plato Cubes are arranged to make a larger Cube the Bucky Cube will always be in the centre.

When 8 Bucky Cubes are arranged to make a larger Cube the Plato Cube will always be in the centre.

The sizes of the Cubes are basically 100 by 100 by 100. There is not an Established Angstrom Size given to these Cubes because they are ignored by Academics.

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F1 A4 shows that the size of CubicWonder Cubes can increase from a size 1 Cube to a Size 3 Cube or larger sizes.

The Size 3 Cube shown is a perfect integration of Plato and Bucky Cubes.

The CubicWonder Cube arrangements have amazing slicing ability and this illustration shows how a Size 3 Dual Tetrahedron can be produced by removing pieces in an orderly fashion.

F1 A5 shows that a Size 6 CW Cube in FIG. 1 can be sliced down to a Size 6 Tetrahedron.

Note that the inner pieces can be removed in layers along the long diagonals of the Size 6 Cube.

By removing these layers as in FIG.2, the Size 6 Tetrahedron can be Truncated.

F2 A6 shows that a Size 6 CW Cube can be sliced down into two Size 6 Tetrahedrons or a Dual Tetrahedron can be kept together. It produces a wonderful colour arrangement as shown.

More Info : https://www.youtube.com/watch?v=d0GqBCq3dGw

F1 A7 shows that a Size 6 CW CUBE can be sliced down to a Pyramid or an Octahedron. These colour arrangements are revealed automatically in an amazing 3-dimensional Order.

F1 A8 shows that the 3D geometry of a Size 6 Octahedron is integrated in the 3D geometry of a Size 6 CW Cube.

The Size 1 Octahedrons are arranged in a perfect 3-dimensional Order and it also shows the Size 1 Bucky Cube is oriented in the centre of the set of Size 6 Plato Cubes.

Moe Info : https://www.youtube.com/watch?v=McWx8o5c_aU