Quad Step - CubicWonder infinite 3D Geometric Order..pdf

This is an addition document to the CubicWonder Document for infinite 3D Geometric Order.
These major Discoveries in 3D Geometric Order were made by Paul T. Maddock since 2009

1. CubicWonder - Quad Step 3D Molecular Geometry.

CubicWonder was discovered by Paul T Maddock in 2009.
and was displayed as videos on the thepaultm YouTube channel.

It has evolved to pair up with another 3D infinite Geometric System
called Quad Step using Hierachical Strings using groups of

Red - Yel - Purple - Cyan - Red Balls.

This PDF document shows some of the Infinite Geometry of 3D order
Plato Cube. that can be produced by CubicWonder - Quad Step.

It is a shame that University mathematicians are not interested in
any of these major discoveries of infinite 3D order that can provide
the 3D Geometry of various Molecules.

Maybe because this 3D reality contradicts their 2D math equations
for their Theory of Chaos.

Bucky Cube.

2. There are 2 ways to pair up the Quad Step Ring System to CubicWonder.
This System uses the Quad Step Rings in a 4 FOLD 16 - 32 -48 - 64
This System produces the Cube Arrangement for the Periodi

aul. Meadock me En

1 +8 418 + 32 = 59 PLATO Cubes
14 8 18 +32 = 59 BUCKY Cubes
Total Cubes = 118 Elements.

3. The second method for Quad Step Rings in a 3 & 4 FOLD Sequence.

Paul T. Maddock

FRONT VIEW

This Pyramid of Yel Tetra & Green Octa.
are from 9 PLATO Cubes.

4. Quad Step Rings in a 3 & 4 FOLD Sequence.

Paul T. Maddock

TOP VIEW

This Pyramid of Yel Tetra & Green Octa.
are from 9 PLATO Cubes.

5. The PLATO Cube Internal Geometry Top View.

Paul T. Maddock

TOP VIEW 1-12-24QS Rings.

Shows the internal Geometry Vertices of the
PLATO Cube Aligning to the Ball Centres.

6. The PLATO Cube Internal Geometry Top View.
The addition of a Green Hexagon Dependant Ring.

Paul T. Maddock

TOP VIEW

Shows the Green Vertices of the PLATO Cube
that needs an additiona Green Hexagon Ring.
This provides a complete Vertex to Quad Step Ball Alignment.

7. The BUCKY Cube Internal Geometry Top View.

Paul T. Maddock

>

Bucky Cube internal Outlines

BUCKY CUBE Bucky Cube & à
24 BALL RING 1-12- 24 Ball Rings.

Shows the internal Geometry Vertices of the
BUCKY Cube Aligning to the Ball Centres.

8. Green Ball Hexagon added to BUCKY Cube Internal Geometry.
This is a Quad Step Descendent Ring.

Paul T. Maddock

Bucky Cube Hexagon

Bucky Cube ici
BUCKY CUBE Outline & Ball rt
rings.

Shows the internal Geometry Vertices of the
BUCKY Cube Aligning to the Ball Centres.

9. Paul T. Maddock

PLATO Cube with Quad Step and Descendent Rings Front View.

Plato Cube with 24 Ball

uA) Gus and Green Hexagon Ring.

10. Paul T. Maddock

BUCKY Cube with Quad Step and Descendent Rings Front View.

BUCKY Cube with 24 Ball

BUCKY CUBE and Green Hexagon Ring.

11. 23 2 PLATO CUBES and 1 BUCKY CUBE with Quad Step Rings.

Note: The Green Hexagon Rings
This shows the 24 Ball Quad Step rings about may also be used with the PLATO Cubes
the Bucky and Plato Cube Vertices.

12. 2 PLATO CUBE 1 BUCKY CUBE.
Amazing Internal 3D Geometric Order.

The PLATO CUBES can be Sliced down
to Dual Tetrahedrons ( Star of David).

‘The BUCKY CUBES can be Sliced down
to Buckminster Fuller's Dymaxion or
Vector Equilibrium.

13. Two Star of David and Vector Equilibrium to TOP View.

Paul T. Maddock

Top View.

Front View.

14. Star of David Front View to Top View.

FRONT VIEW. TOP VIEW.

The Front View is Rotated 15 Degrees Shows 12 Ball & 24 Ball Rings.
for a better Illustration.

15. VECTOR EQUILIBRIUM Front to Top.

Paul T. Maddock

Front View. Top View.

The Font View is 15 Deg. about for better illustration.

Note that the Quad Step Ring Balls align to
the Vertices. This is better than using Chaos Equations.

16. Paul T. Maddock

The Green and White Corner Pieces of the Bucky Cube
gives us the Centre Octahedron of the PLATO CUBE.

This is produced Automatic with the intergrated 3D Geometry
of CubicWonder. This Amazing 3D Geometric Order has been
nored for 14 Years to Preserve the Academic Theory of Chaos.

Corners of the Bucky Cube to Centre Octahedron of Plato Cube.

PLATO CUBE

>

BUCKY CUBE

17. Cube-OCTAHEDRON with 4 OCTAHEDRONS.

Paul T. Maddock

‘The BUCKY Cube without the White and Green Octa Corner Pieces
gives us the Cube-Octahedron or Vector Equilibrium.

4 Green Octa Pieces and 4 White Octa Pieces gives us the Centre
Octahedron of the PLATO CUBE.

18. Paul T. Maddock

The Cube-Octahedron (Vector Equilibrium) and Octahedrons
can be Close Packed along the Vertical Y Axis as shown.

Close Packing can be done

Z Axis also but is not shown.

19. Cube-Octahderons and 6 Octahedrons Horizontal Close Packing.

The Cube-Octahedron (Vector Equilibrium) and Octahedrons
can be Close Packed along the Horizontal X Axis as shown.

20. Paul T. Maddock

END

Plato

Thank You to the Half Dozen Intellectuals from around the World

who have showed an interest in these Major Discoveries of a Wonderful
Bucky 3 Dimensional Order shown in this Document as 3D reality.

These finds are obviously a major challenge to the Mathematics
of Mandelbrot Fractals saying that the 3D Order is hidden and may
be found by those that will enter the Higher Dimensions.

Plato