#function plots

[art-of-mathematics]

Pendulum oscillation

[art-of-mathematics]

Two 2D perspectives of a 3D plot of a motion of a ball on a string with alternating string length - shaping a motion track like a distorted "8"...

I am not finished. It's a rough sketch/doodle...It may have errors as well.

I might go into detail at explaining how I find the 3d coordinate points via my pen and paper and imagination method. This is a bit tricky. I will explain it once my focus and ability to form coherent thoughts and sentences is better again.

[art-of-mathematics]

Double pendulum interactive animation

I found that interactive tool to simulate the motion of a double pendulum online:

It also has some nice plots:

[art-of-mathematics]

Understanding math through the act of drawing function plots is another level of satisfaction.

I could write a short script for the calculations of these parametric equations or choose between hundreds of other faster digital options, but I prefer the old-school method of pen and paper - also helps with my poor working memory - so, "two flies catched with one trap", as this idiom goes...

I love 3-dimensional function plots!

(Also: I often choose weird/unconventional ways to portray the concepts, often as result of spontaneous playing with patterns and accompanied occasional eureka-moments.)

[art-of-mathematics]

Title: "Schrödinger's cat chasing the transcending feedback-loop in the moon"

The ingredients:

- toroidal helix wire model

- a broken glass bowl

- lamp

- cat (not included)

Lamp + broken glass bowl:

Lamp + broken glass bowl + toroidal helix wire model:

... plus catto:

... plus catto in motion: