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… Read more

The Middle pyramid at Giza. Follow my current progress at folding circles. The 345 code is fascinating and shows how whole numbers are connected by an elaborate set of geometry. Then we can see how the 345 triangle is connected to the golden ratio and the double Spiral of Theodorus. Next we can see how… Read more

The Giza Plateau Folding circles using the cosmic (±) geometry method. Giza analysis. These folding fish fold into a solid 1/8th volume of pyramid. The geometry of the Kings chamber encodes the 345 triangle and phi. The two different kinds of folding fish together. Let there be more light. The geometry of the queens chamber encodes a… Read more

The Folding Fish generator is my shiny new geometry visualisation tool. Explain this madness? We can create a folding fish for any number using Algebra alone. The geometry of the first kind of fish (A) originates from the triangle below. And from this triangle we can create the rest of its complex geometry. The Algebraic… Read more

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… Read more

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… Read more

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.… Read more