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07/28/2023
Simulating, Visualizing and Playing with de Sitter and anti de Sitter spacetime
In this paper we discuss computer simulations of de Sitter and anti de S...
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08/29/2022
Generating Regular Hyperbolic Honeycombs
Geodesic regular tree structures are essential to combat numerical preci...
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11/23/2021
Generating Tree Structures for Hyperbolic Tessellations
We show an efficient algorithm for generating geodesic regular tree stru...
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11/01/2021
Dynamic Distances in Hyperbolic Graphs
We consider the following dynamic problem: given a fixed (small) templat...
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10/01/2021
Navigating Higher Dimensional Spaces using Hyperbolic Geometry
Higher-dimensional spaces are ubiquitous in applications of mathematics....
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09/24/2021
Discrete Hyperbolic Random Graph Model
The hyperbolic random graph model (HRG) has proven useful in the analysi...
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02/21/2020
Hyperbolic Minesweeper is in P
We show that, while Minesweeper is NP-complete, its hyperbolic variant i...
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02/21/2020
Real-Time Visualization in Non-Isotropic Geometries
Non-isotropic geometries are of interest to low-dimensional topologists,...
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12/20/2019
Axiomatizing rectangular grids with no extra non-unary relations
We construct a formula ϕ which axiomatizes non-narrow rectangular grids ...
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07/04/2017