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THE THEORY OF PLANE REGULAR SHAPE
                                                       
 which provides and illustrates

    The Mathematics of the Universe         
 
Using ancient and historical findings from

  Prediluvian Mesopotamia through to the 

Nuclear Physics of the 21st Century,

including Entanglement, Black Holes and Cern






                                                   John Marcus Crombie, 2025, Australia
                                                             
                                                            I dedicate my endeavours to my grandchildren. JMC




 

Giving Measurement to Plane Regular Shape:

using

Finite, & Infinite Plane Regular Shape Ratios

 

 

Imagine an Infinite Sequence of Infinite Numbers.

 

Whereby:

  •   Each of these Infinite Numbers is the Ratio for a Plane Regular Shape.

                  Infinite Shape Ratios can also be formed from dividing a pair of Finite Numbers.

         (The Ratio of the Finite Radii of a Shape's Circumscribing Circle to its Inscribing Circle).

 

         But Shapes may also be formed by multiplying or dividing the Infinite Ratio for a Plane     Regular Shape by the Infinite Ratio for           another Plane Regular Shape.

  •   Each Infinite Shape Ratio is able to interact with other Infinite Shape Ratios to produce another such Infinite Shape Ratio.

  •   Each Infinite Shape Ratio is able to interact with other Finite or Infinite Shape Ratios to produce another Plane Regular Shape        ad Infinitum.

 

And Whereby:

   Each Finite or Infinite Ratio for a Plane Regular Shape can interact with any Finite or Infinite Ratio for another Plane Regular Shape       to produce another Plane Regular Shape ad Infinitum.

               √2 x √2 = 2

               2 x 2 = 4 = √2 x √2 x √2 x √2

               √4 = 2

  •   √2 is the Infinite ratio for a Square.

  •   2 is the Finite Ratio for an Equilateral Triangle (and the product of the multiplication of two Infinite ratios).

  •   4 is the Finite Ratio for a 13 point polygram (and the product of the multiplication of two Finite ratios or of the product of the        multiplication of four Infinite ratios) (√2 x √2 x √2 x √2).

 

And Whereby:

  •   Each Infinite Number in the equation is a Ratio for a Plane Regular Shape.

 

And Whereby:

  • There is no Unit of Measurement in Plane Regular Shape Theory.

  • Physical Size of a Shape is irrelevant in the calculation of its Ratio.

  • Shape Ratios are purely Mathematical Values.

 

And Therefor:

  The methodology is denoted as 'SHAPE BY SHAPE EQUALS SHAPE' (Graphically & Mathematically)

 

     Would such a Mathematical & Graphical Masterpiece of the Universe be supreme if it could be seen to continue ad Infinitum?

 

There is no Zero in Shape Theory; only positive numbered ratios and their reciprocals.

​

MY PUBLICATIONS

I have attached the works I have compiled using my Legal Copy of Ulead iPhoto Express Program to illustrate my Plane Regular Shape Theories. ​

Download the PDF's to study and comprehend them at leisure. JMC.

THE MATHEMATICS & GRAPHICS OF PLANE REGULAR SHAPE:

The Ratio of the sizes of Circumscribing to Inscribing Circles

The discovery and realisation that Shape x Shape = Shape

Harmonics of Plane Regular Shape

Plato's two Harmonies of Sight and Sound

Plane Regular Shape Ratios

Construction Harmonics in Plane Regular Shapes

Mathematical Harmonics in Plane Regular Shapes

Shapes in Phase

​​​

THE CRADLE OF GEOMETRY: THE ATEN & ITS RAYS: A SHAPE THEORY

Indicating how Akhenaten knew and used extensive principles of geometry in his Atens, on his Talatat Walls, on Steles and elsewhere.

CIRCLE OF INNER HARMONY:   LINKING PLANE REGULAR SHAPES AND NUCLEAR PHYSICS:

Physical Size is irrelevant in Plane Regular Shape theories.

This Circle of Inner Harmony was only revealed when I kept a constant common Circumscribing Circle, for each of the shapes, that I made transparent and laid over each other.  This enabled comparisons to be made between Plane Regular Shapes and their Construction Lines, Angles and Inscribed Right Angles.

This Circle belongs to Nature.  It was not invented by man.

It has proven to be an excellent illustration of the forces in Nuclear Theories.

STONEHENGE:  DESIGNED AND BASED ON THE GRAPHICS AND MATHEMATICS OF PLANE REGULAR SHAPE:

Outline of the Theory of Plane Regular Shape;

Shape Theory and my Stonehenge Theorem;

Revealing a knowledge of Geometry that was probably extant in 3000BCE​

A Monument analysed in a 1974 survey held at NASA Earth Sciences.

A GEOMETRICAL ANALYSIS OF CENTRIC DIATOMS: USING PLANE REGULAR SHAPE THEORY:

Analysing Centric Diatom images using Plane Regular Shape Theory:  

Revealing Prime Numbers in Nature on Centric Diatoms.  

​

MODERN NUCLEAR THEORY AND PLANE REGULAR SHAPE:

​Comparing Plane Regular Shape with Current Scientific Theories.

​

The geometry of the Circle of Inner Harmony is further expanded upon to reveal its use in illustrating modern Nuclear Theories.

The Infinite nature of the Ratios of Plane Regular Shape is catered for in this Circle of Inner Harmony image.

My contact details are on the first page inside each of the PDF's above.

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