Tags » Hyperbolic Geometry

Rindler's coordinates and Hyperbolic coordinates

Consider with coordinates . On the “Rindler wedge” you can put coordinates . The coordinate lines are hyperbola and the Lorentz boost acts as translation in the coordinate. 59 more words

Special-relativity

Hyperbolic fixed points

Two nontrivial elements of commute if and only if they have the same fixed points in .

The depth of a mysterious Pyramid

The music of the heavens was believed to be describable through numbers and geometry with a system of codes originating from the fundamental structure of space-time. 458 more words

Numbers

Straight lines in elliptic and hyperbolic space

A straight line is the shortest path between two points. Discussing curved space we would better call them geodesic lines to avoid confusion. I want to discuss these geodesic lines for surfaces of a sphere, elliptic space and hyperbolic space. 605 more words

Programming

Life on the Poincaré Disk

Just at this time I left Caen, where I was then living, to go on a geological excursion under the auspices of the school of mines.

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Infinity

How to program fast kaleidoscopes

This post repeats parts of earlier posts but I am trying to expand the ideas and explain them better. First, I am showing you how to make rosettes with rotational symmetry and mirror symmetry. 1,936 more words

Tilings

Computation in geometric topology

Complete lecture videos for last week’s workshop Computation in Geometric Topology at Warwick are now posted on YouTube. The complete list of talks with abstracts and video links is here.

3-manifolds