# Polypath Iterations

Polypath Iterations

A polypath is the result of repeatedly folding an isosceles trapezoidal quadrilateral along its diagonal. The folding transforms the four vertices , represented by complex numbers, into , where 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.

{p,q,r,s}

q,r,s,+q

(p-q)(s-q)

*

(s-q)

*

z

*