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

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Hyperbolic Geometry: Poincaré Disc Tessellation How-to

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

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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 5-sided forms and that pentagons can be … Continue reading

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