Points lines and planes

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Suppose we have a finite set of points in the plane, no three of which are collinear. A line drawn through one of them pivots around that point until it encounters another point, when it adopts that point as the new pivot. Call this line a “windmill”; it continues indefinitely, always rotating in the same direction. Show that we can choose an initial point and line so that the resulting windmill uses each point as a pivot infinitely many times.

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point line plane Point Line Plane Design, Point Line Plane, Design Assignments, El Lissitzky, Sacred Geometry Tattoo, Geometry Tattoo, Graphic Design Collection, Plane Design, Design Principles

Apologies for submitting this post so late-my post was delayed because I completed my design assignments and went into a deep slumber. Regardless, my second assignment was an additional set of Point, Line, Plane exercises. After receiving critics from 3 design students I set off to make compositions involving all three forms. They first showed me examples of works they had done in the past, then told me rules to follow. They encouraged me to create focal points, work with the rule of thirds…

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