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 equal (gold) circumference and one for equal (pink) area.

We can then add the following offset (green) circle to the squircle geometry.

And then to make it more sophisticated we add a final offset (blue) circle.

The geometry of the two offset circles and angle relationships are shown below.

The reason for this elaborate geometry is to end up with the following triangles.

The Squared Circle

Below is a mini slide show showing the foundational geometry of the squared circle.

Blue Print Examples

Number 2.

Number 3.

Number 4.

Number 5.

Number 6.

Number 7.

Number 8.

Number 9.

Number 10.

Number 11.

Number 12.

45° Degrees.

36° Degrees.

18° Degrees.

The Golden Ratio (phi)