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- Tensors 2025/12/10
- Conformal structure – until the puppy grows up 2025/12/07
- Growing Out of the Sandbox 2025/12/02
- Blog reincarnation with analytic idealism 2025/11/30
- Minkowski patches in the Einstein universe 2025/11/27
- Floating in the Einstein Universe 2025/11/24
- Comments on Clifford algebras 2019/01/24
- Comment on “Could ordinary quantum mechanics be just fine for all practical purposes?” by Alexey Nikulov 2018/03/08
- Spinning Top – Space Odity 2017/05/28
- Geodesics of left invariant metrics on matrix Lie groups – Part 2 Conservation laws 2017/05/26
- Geodesics of left invariant metrics on matrix Lie groups – Part 1 2017/05/24
- Killing vectors, geodesics, and Noether’s theorem 2017/05/23
- SL2R as anti de Sitter space cont. 2017/05/15
- Becoming anti de Sitter 2017/05/14
- SL(2,R) Killing vector fields in coordinates 2017/05/11
- Riemannian metrics – left, right and bi-invariant 2017/05/09
- Riemannian metric on SL(2,R)- explicit formula 2017/05/08
- Riemannian metric on SL(2,R) 2017/05/07
- Parametrization of SL(2,R) 2017/05/06
- Curvature of the upper half-plane 2017/05/05
- Geodesics on upper half-plane factory direct 2017/05/04
- Einstein the Stubborn 2017/05/03
- Dedekind tessellation on the Poincaré disk 2017/05/02
- Dedekind tessellation or circles all the way down 2017/04/30
- Real magic – space-time in Lie algebra 2017/04/29
- Geodesics on the upper half-plane – parametrization 2017/04/28
- Geodesics on the upper half-plane – Part 2 circles 2017/04/27
- Geodesics on the upper half-plane – Part 1 Killing vectors 2017/04/26
- Conformally Euclidean geometry of the upper half-plane 2017/04/25
- Esher’s Limit Circle IV rendered on the complex upper half-plane 2017/04/24
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Category Archives: Hyperbolic geometry
Dedekind tessellation on the Poincaré disk
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 It is a pity that the paper is unpublished.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
Posted in Hyperbolic geometry, Mathematica
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Dedekind tessellation or circles all the way down
“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)
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Real magic – space-time in Lie algebra
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)
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