A Fractal Spiraling Network Which Corresponds to Hyperbolic Space

thingiverse

A Fractal Spiraling Network Which Corresponds to Hyperbolic Space See https://www.youtube.com/watch?v=YqhNUCir7iI&li for a description of the system. My websitehttps://sites.google.com/site/richardsouthwell254/home has loads of free 3D printing resources (design apps & stls) on it. The structure forms fractal, highly clustered parts around the perimeter, with bridges over the middle which make travel easy. It can be thought of as the net of a self intersecting surface. About the thing.. The shape was grown from tiny rules, starting from a cube. The network cannot be drawn on a sphere without edges crossing. It can be thought of as the net of a self-intersecting surface. If one keeps growing the surface, it basically makes hyperbolic space. The number of hops between a randomly chosen pair vertices is surprisingly small.It has this `small world' property just like social networks, protein interaction networks, the internet, etc. If you do not have a printer, you can buy it herehttp://www.shapeways.com/shops/croco Version 3 looks better, but version 5 is easier to print because it has a flat base.