Hyperbolic Projection of a Semi-regular Tessellation

by Tuğrul Yazar | July 7, 2012 12:28

Truncated hexagonal tessellation (or named 3-12-12) is represented in hyperbolic space (as far as I understood it). The idea is simple if you don’t mix it with complex equations. Below is the 2-dimensional representation of hyperbolic projection. Paper space is defined by the thick line there. Projection is based on a two-sheet hyperboloid surface. Euclidean version of this tessellation is described here.

Here is the Grasshopper3D file containing the above idea of hyperbolic representation of a semi-regular tessellation. [GHX: 0.8.0066] (Don’t left-click it, right-click and save it to your computer)

[1]
Endnotes:
  1. [Image]: https://www.designcoding.net/decoder/wp-content/uploads/2012/07/2012_07_07-hybol-def.jpg

Source URL: https://www.designcoding.net/hyperbolic-projection-of-a-semi-regular-tessellation/