The Squircle (Squared Circle) generator is my shiny new geometry visualisation tool. Explain this madness? We can create a (scalable fractal) squared circle for any number. Below we can see the relationship between the two main triangles. The geometry of each squared circle starts off with one square, two circles and two triangles. One for …
Author Archives: Folding Circles
Archetype of Wholeness
Is it possible to square the circle or circle the square? Lets explore the idea. We can ‘square the circle’ in two different ways. The (1st) where the circle and square have equal perimeter and (2nd) where the circle and square have equal area. This gives us the opportunity to visualise the geometry of different …
Folding Fish
The geometry of these folding fish is very interesting. I have found two different folding fish. (square based and non-square based) They can be connected together in many fascinating ways. I named them folding fish because they look like fish and fold into a solid. Below are the first five folding fish found in the whole number spiral. …
The geometry of this identity
The interesting cosmic geometry of the following identity is described below. This identity allows us to unite the geometry of the circle, square and rectangle. We start off by constructing the squares. (grey area = 4ab) And next we add the circles as shown below. Then we construct the blue 3-4-5 triangle. (2√(ab) = a …
Folding Circles
Folding Circles. An engineer messing around with numbers and geometry on a journey through space/time with only my compass to guide me.
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 …
Mathematics Dude 