A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. (https://en.wikipedia.org/wiki/Tessellation)
... a dodecagon or 12-gon is any twelve-sided polygon. (https://en.wikipedia.org/wiki/Dodecagon)
I first learned how to tesselate a dodecagon from Col. Robert S. Beard's "patterns in space" (https://www.goodreads.com/book/show/2677592-patterns-in-space). I saw it as an exercise to be done while sitting at a desk, with compass-and-straightedge. Later, in 1999, I realized the pattern on a grander scale:
- http://www.antfarm.org/~aaronf/id99/html/23.html
- http://www.antfarm.org/~aaronf/bman99/html/nightlist_7_td10.html
- http://www.antfarm.org/~aaronf/bman99/html/daylist_4_td4.html
I documented the method of construction, using PostScript to draw the figures: http://www.antfarm.org/~aaronf/td/tdhowto.html
My goal is to tesselate a dodecagon using R and ggplot, with the final result rendered as an animated GIF. The ulterior motive is to see how well these tools work for geometric depiction.
