WOLFRAM|DEMONSTRATIONS PROJECT

Polypath Iterations

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A polypath is the result of repeatedly folding an isosceles trapezoidal quadrilateral along its diagonal. The folding transforms the four vertices
{p,q,r,s}
, represented by complex numbers, into
q,r,s,
*
(p-q)
(s-q)
*
(s-q)
+q
, where
*
z
is the complex conjugate. This Demonstration shows the possible variations of a polypath as you change the coordinates of the two defining vertices of the original trapezoid. This is achieved by dragging the corresponding locator points.