Geometric Bites

Recently, I produced some recursive geometric art that got a pretty good amount of attention on the internet. Here it is: So, what was the secret of its success? It was a solid geometric drawing I made beforehand. With that solid geometric drawing, I was able to see the proportions required to produce my animation. There is a clarity that geometric drawings bring because of their rigidity . As you can see in the image above, the squares get smaller . Their lengths decrease by a factor of 1/2 with each iteration . When these lengths are applied to vertical and horizontal lines what you get is pure mathematical magic... The pattern in my video. How about the equations ? Well, if I tell you everything it would be like revealing the entire story of a great movie before you've watched it. I would hate to spoil your creative experience. :-)

A square the quarter the size of another square will have a radius half the size. I show this in my workings below.   Why is this useful? Well, this truth can be used to create recursive square art using graphing apps like Desmos . In one of my next posts you'll see exactly what I mean. I have some art already planned. Stay tuned!