28 February 2016

Tiling

I returned to some of my previous work on aperiodic tiles from two years ago. This time, I'm overlaying different iterations of the same prototile and rendering them as polygonal tubes with Mantra. Everything is done in Houdini with a little color correction in Photoshop. I'm trying to decide which ones to submit to Bridges this year.




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3 comments:

  1. TundrasamaMarch 9, 2016 at 12:44 PM

    Cool. Is the process similar to fractal generation?

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  2. kurtoonMarch 9, 2016 at 7:18 PM

    Thanks! Yeah, aperiodic tiles can be considered fractals due to self similarity. The process here is based on substitution rules and is not a numerical algorithm per-se, but it likely could be since it's been done for the Penrose tiling.

    I used the Tilings Encyclopedia to get the rules. Here's one for Danzer's 7-fold tiling: http://tilings.math.uni-bielefeld.de/substitution_rules/danzers_7_fold_0

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