Folding Circles

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An aerospace engineer messing around with numbers and geometry on a journey through space/time with only my compass to guide me. Lets start folding circles.

There are 2 different kinds of folding fish (square fish) and (cosmic fish). The square fish are shown above and fold into 1/8th of a square based pyramid, with examples from the square root spiral shown below.

And below the trusty 345 pyramid. Infinite pyramids in the spiral of Thedorus.

The cosmic fish are detailed below, these are a lot more sophisticated.

There are an infinite amount of these folding fish contained within the double spiral.

Exploring the amazing geometry encoded into of the pyramids. Giza analysis.

This is the double spiral which has a fascinating relationship with the 345 triangle.

The double Pythagorean spiral is one of the most fascinating things i found on my journey, it has two triangles for every triangle in the well known square-root spiral.

On my journey I found the amazing connection between the sacred 345 triangle and golden ratio as shown below, using the method I named cosmic (±) geometry.

Cosmic (±) geometry is sophisticated but basically every angle can be represented by a number (y) and each right angled triangle has two angles and two (y) values.

This is a powerful method as shown with the Metallic means and Organic means.

I didn’t realise how much Cosmic (±) Algebra there would be, interestingly the etymology of the word is from Arabic al-jabr ‘the reunion of broken parts’.

Most of this fascinating geometry comes from following the golden ratio (phi).

As well as folding circles I have also been collecting interesting fish for folding.

Below, more folding fish and the sacred geometry of the whole numbers (2-10).

I use colours to utilise my whole brain and simplify this sophisticated method.

I feel i am getting closer to reaching the foundations of this method and the folding fish geometry makes it simpler and easier to explain. (need geometry machine V2)

The 345 triangle is the foundation stone of geometry used to create a right angle.

The sacred cross, the geometry of the square (45 degrees) and the cross.

Cosmic geometry and folding circles, squares, triangles into folding fish.

It amazes me that all this geometry came from the humble sacred 345 triangle.

I have been studying this method and folding circles for many years. I started off my journey following the golden ratio (phi) through the geometric universe and now find myself studying the whole numbers, trying to reach the foundations of the method.

Every abstract whole number actually has a complex geometry associated with it and all whole numbers are connected together as shown in the square-root spiral.

My main interests include mathematics (specifically geometry), symbolism and art.

“In the beginning God created the heaven and the earth. And the earth was without form, and void; and darkness was upon the face of the deep. And the Spirit of God moved upon the face of the waters. And God said, Let there be light.” Genesis 1

Published by Folding Circles

An engineer messing around with numbers on a journey through space/time with only my compass to guide me.

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