A Fractal Spiraling Network Which Corresponds To Hyperbolic Space 3D Printer Model
The file 'A Fractal Spiraling Network Which Corresponds To Hyperbolic Space 3D Printer Model' is (STL,stl) file type, size is 3.5MB.
The file 'A Fractal Spiraling Network Which Corresponds To Hyperbolic Space 3D Printer Model' is (STL,stl) file type, size is 3.5MB.
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 website
https://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 here
http://www.shapeways.com/shops/croco
Version 3 looks better, but version 5 is easier to print because it has a flat base.
| HypThingSSINr3.STL | 5.4MB | |
| HypThingSSINr5.STL.stl | 24.2MB |
