Maps: Fractals, Tectonics and the Fourth Dimension

Experiments in creating maps with math! Starting with a visual explanation of how fractal (sometimes called Perlin) noise works, we then talk about ways to tile a sphere with hexagons and do some linear algebra to make a simple tectonic simulation. The end result is something I'm happy to use as a fantasy map or something for a video game - and in fact you will almost certainly see me do some stuff with it in future videos. There's also a tangent about music theory that's really just an excuse for me to mess around with my guitar. Link to new patreon: https://patreon.com/FractalPhilosophy?utm_medium=unknown&utm_source=join_link&utm_campaign=creatorshare_creator&utm_content=copyLink Timestamps: 00:00 - Intro 00:38 - Basic Line 01:10 - Fractals 01:50 - Timbre and Fourier Series 03:14 - Fractals on Line 03:39 - 2D Noise 05:19 - Map Projection Problems 06:30 - Goldberg Polyhedra 08:28 - Noise in 4D 10:45 - Plate Tectonics 13:29 - Final Map 14:25 - Outro