Happy pi day! (Or tau/2 day if you prefer 😉). I devised a procedure to show decimal numbers as colorful curls, these pictures represent pi with 60 and 1000 decimal places respectively, and tau (2pi) with 144 decimal places. The decimal point is represented as a tiny curl, so you can spot the start of the number (in the big picture of pi it is in the middle of the rightmost blob). Each decimal place is represented with an arc of circumference, to the right for even and to the left for odd digits, length grows with value. Angles are related to the golden angle and grow follows the plastic ratio, to avoid accidental superposition. Colour follows this procedure: it starts as purple and depending if the turn is to the left or to the right (the digit is odd or even) the hue is shifted up or down.

#piday #Mathart #GoldenRatio #PlasticRatio #Mathematics #Maths