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giant fractal pecan pie

Step 1Layout design

layout design
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  • dscn3448.jpg
  • dscn3454.jpg
the layout was determined by two constraints:

1. the finished product had to fit in the transport vehicle. this gave an maximum outside diameter of around 50 inches, conveniently close to the 24x48 inch sheet metal available at the local hardware store. this set the initial side length L of the largest triangle.

2. we only had access to crust of a finite constant thickness so the smallest triangle had to contain some reasonable amount of filling. (L/3)niter > minimum acceptable edge length suggested that we go no deeper
than 4 iterations.

A template covering (1/12) of the entire perimiter made reasonably quick work of laying out the pie pan edge.
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Author:turkey tek
thanksgiving! ...and bringing technology to this traditional celebration of excess.