Reflections+in+Vertices+of+Quadrilaterals

Return to the Reflections in Vertices Investigation introduction page.

So we know that for a triangle the reflection process will always close after two cycles around the polygon. This led me to speculate that other polygons, since they can be divided up into triangles, might have some similar patterns, but it might take more cycles before the path closes. But it seems things are a bit more complicated. The video below shows an investigation with 4 cycles around a quadrilateral. You can use the GeoGebra applet from my video example to test other quadrilaterals and seed points, P0.

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