Folding Circles. An engineer messing around with numbers and geometry on a journey through space/time with only my compass to guide me.
Author Archives: Folding Circles
The Geometry of Atlantis
Let no one ignorant of geometry enter here. The concentric circles of Atlantis. Reminds me of the geometry of the Pythagorean double square root spiral, that connects the whole numbers, the fragment below contains the numbers. (1-10) It contains 2 right angled triangles for every triangle in the spiral of Theodorus. The geometry of Atlantis …
Metallic V Organic Means
We can use cosmic (±) geometry to create a right angled triangle using every Metallic Mean, as shown in the examples below where y is equal to each mean/ratio. Below we can see the Metallic means (1-14) and some other interesting triangles. These three interesting triangles are shown below in blue(c), red and white(m). And …
The Geometry Machine
I have made many geometry machines and geometry animations made with JavaScript over the years. The last version is ancient and needs updating. These are all available for you to play with at codePen (Folding Circles) The geometry machine (v3). I would like to create a new version in python as JavaScript is not good …
The Covenant of Salt
Following the golden thread through the mathematical universe using (±) method. A deep dive into the complex geometry of the golden ratio. This very deep dive into a very sophisticated method. Is colour coded to help understand. And will take many years to mentally digest. Please do not break your brain, it will take many …
The 345 Code
The sacred 345 triangle has many mathematical and geometric lessons to teach. The 345 code is fascinating and shows how whole numbers are connected by an elaborate set of geometry. Follow my current progress at folding circles. Below we can see how the numbers 1-9 are connected. Then we can see how the 345 triangle …
Cosmic Geometry
Using what I call cosmic mathematics, we can (for instance) detail the geometry of a triangle without using trigonometry or the Pythagoras theorem. And that is good. Based on a simple equation, it adds a level of sophistication to the normal method, giving us a deeper level of understanding. Taking into account the usually ignored negative principle is a bit of a …
The Amazing Golden Ratio (Phi)
The Golden ratio is maybe the greatest number, lets explore why? The golden ratio can be found in both the Hexagon and the Pentagon. Phi (golden section) triangle and the 345 triangle have a unique relationship. And in order to understand phi we must look in detail at this relationship. Below showing the most important …
The mathematics of the amazing 345 Triangle
The Golden Ratio 345 triangle and Metatron’s cube.