Fibonacci and the Golden Ratio

Spark AR review gif

While looking at gifs with loopy and illusion effects, I found a digital artist, David Whyte, who created gifs blending Art and Mathematics. Those who are keen can consider using 'Processing' which is a self-contained programming environment that streamlines the sorts of animated drawing tasks that you’ll need for abstract GIF art. 

cube and square pyramid

Slowly but somehow surely my online searches led me to other Mathematical gifs (linked to π (pi' 3.14159...).

"Geometry has two great treasures: one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel."

- Johannes Kepler

Animated Sieve of Eratosthenes

Golden Ratio 1.618...

Some beatuiful Fibonacci spirals obervable in nature

I have therefore decided to use AR overlays of gifs and images for students to use on their IG as an effect/filter to find the golden ratio, Phi φ (which is derived from the Fibonacci numbers' division as it tends to infinity) in their surroundings. 

refer to Medium for more info on φ in architecture

Another IG filter/effect I created uses the controversial Marquardt mask based entirely on the golden ratio as a model applied to human faces to determine optimum proportionate beauty as suggested by the Greek philosophers quoted below.

Aristotle defined beauty as “a sense of harmonious or aesthetically pleasing proportionality,”

from 'The Golden Ratio and Aesthetic Surgery'

 "The good, of course, is always beautiful, and the beautiful never lacks proportion." Plato 

 I think that should be enough content for this blog post. I will possibly explore other gifs in the next one to see how Gifs can be used to teach & learn Mathematics in other ways.