Math.

Stereographic cube

A Canadian Mathematical Olympiad training question. 

As it turns out, these fractions converge to 0.70710678118…, or to be precise, to sqrt(2)/2. The sequence is related to the Thue–Morse sequence.

There exists locally isometric transformation between helicoid and catenoid. This is because they have same Gaussian curvature on each points.

(Source: http://www.math.grinnell.edu/~chamberl/papers/mario_digits.pdf)

I’ll let you be my mutually alien copy <3

Chaotic behaviour in 30-link pendulum.

(Spivak “Calculus on manifolds”)

How to draw a regular pentagon [x]

“Illustration of the belt trick, showing a homotopy between two one-parameter subgroups of the rotation group, one through an angle of 2π and one through an angle of −2π.” By Slawekb - Created in Mathematica 9.0 , CC BY-SA 3.0

https://www.desmos.com/calculator/lpm3igzbhy

Rolling a circle in a circle to draw a cosine wave [code]

well this is a good sign

Re[arctan(x+iy)], x,y∈[0,2π]. This was my first one with colored cardstock. (Also the back of my business cards.)