Monthly Archives: November 2010

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 Geometry: Poincaré Disc

One of the most common models used to visualize hyperbolic geometry is the Poincaré disc.  The Poincaré disc maps the point at infinity of a hyperbolic space to a circle where hyperbolic lines are represented as arcs of circles intersecting … 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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Polar^m @ YCAM (Yamaguchi, Japan)

For the last 2 weeks, I’ve been in Yamaguchi, Japan working on an exhibition called Polar^m at YCAM with Marko Peljhan, Carsten Nicolai, and crew.  The show opened November 13 and will run through February. The project is based around … Continue reading

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