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Tag Archives: hyperbolic space
Navigating Hyperbolic Space with Fibonacci Trees
When moving from the usual Euclidean flat space to a curved space like hyperbolic space, one not only has to work with new models of basic geometric concepts like points, lines, and triangles, but one also has to deal with … Continue reading
Hyperbolic Geometry: Poincaré Disc Tessellation Howto
Background Figuring out how to draw lines in hyperbolic space is pretty straightforward. It’s just some basic geometry and the details are easy to find with a little searching. What is not so easy to find is the details … Continue reading
Posted in Space and Geometry
Tagged hyperbolic geometry, hyperbolic space, Poincaré disc
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Hyperbolic Tessellations
I’ve recently been working on a different approach to composing complex topologies using hyperbolic spaces. The motivation for this approach comes from recognizing that biological structures are by and large made up of 5sided forms and that pentagons can be … Continue reading
Posted in Computational Technique, Space and Geometry
Tagged Fibonacci tree, hyperbolic space, manifold, tessellation, tiling
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