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Arrowhead Curve

After playing around with many shapes and test pieces I finalised this design in 2016 using a pattern from the arrowhead curve. I noticed after a few years and having played around with the shape more that the tessellation of it meant it could become a 3D object. I had always wanted something that I designed that was a signature object for someone to own.

The Sierpiński arrowhead curve draws an equilateral triangle with triangular holes at equal intervals. The terminating point of the Sierpiński arrowhead curve is always the same provided you recur an even number of times and you halve the length of the line at each recursion. If you recur to an odd depth (order is odd) then you end up turned 60 degrees, at a different point in the triangle.

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