Category Archives: Hyperbolic geometry

Dedekind tessellation on the Poincaré disk

Posted on 2017/05/02 by arkajad

This is a continuation from Dedekind tessellation or circles all the way down. I am studying the very interesting paper by J. Kocik, aka Jurek, “A note on the Dedekind tessellation”. It is a pity that the paper is unpublished. … Continue reading →

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Dedekind tessellation or circles all the way down

Posted on 2017/04/30 by arkajad

“Turtles all the way down” is an expression of the infinite regress problem in cosmology posed by the “unmoved mover” paradox. The metaphor in the anecdote represents a popular notion of the model that Earth is actually flat and is … Continue reading →

Posted in Hyperbolic geometry, Mathematica, SU(1,1) | Leave a comment

Real magic – space-time in Lie algebra

Posted on 2017/04/29 by arkajad

We start with a partial recall of events as they transpired so far. A month ago we became hyperbolic. The post Getting hyperbolic started with this sentence: Without knowing it, during the last three posts (Our first field expedition, Our … Continue reading →

Posted in Hyperbolic geometry, Quaternions, SU(1,1) | 1 Comment