Geometric Bites

Structure: The Great Pyramid of Giza, Egypt. Source:  https://commons.wikimedia.org/wiki/File:Kheops-Pyramid.jpg When physicists and mathematicians talk about the “architecture” of the universe, it can sound like they mean the universe was built like a house. Most of the time, they do not mean that. In this context, “architecture” is a practical word for something simpler and more specific: The universe behaves as if it has deep, consistent structure — stable rules and constraints that keep working wherever we look. This post explains why many scientists think that is a reasonable conclusion, without assuming any advanced mathematics. 1) The universe repeats itself: patterns that do not go away In everyday life, you already rely on the universe being stable: If you drop a mug, it falls. If you heat water, it boils at roughly the same temperature (given the same pressure). If you shine light through glass, it bends in predictable ways. Science extends this ...

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. :-)