PolygonFlux™

Version 1.0 is in the App Store!
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PolygonFlux

Experiencing the geodesic flow within polygons

You Control the Flow with Your Fingers

PolygonFlux lets you experience the flow of energy inside a polygon. In simplest terms, it traces the path of a point bouncing around inside a polygon of your choice, generating a pretty pattern.

You control the location of the "shooter" and its direction. The path the point travels is displayed instantly. The path is determined by the Law of Reflection — "The angle of reflection is equal to the angle of incidence" meaning that the point bounces off a side at the same angle it came in on, just like a billiard ball deflects off a bumper on a pool table, or a light ray reflects off a mirror.

You can choose a triangle, square, pentagon, hexagon, ... polygons with up to 14 sides! You can choose from a dozen themes for the lines that trace the path of the point. You can add your "Fluxagons" to a scrollable album for later experimentation, send them in Mail, or save them in Photos to use like any other image. More...

Spend Hours with an Immersive, Entertaining, Educational Tool

The Polygon is an archetypal form, and reflections are a dynamic physical reality. As with our Geom-e-Tree App, PolygonFlux lets you explore a form like never before.

PolygonFlux is based on "Polygonal Billiards", an active area of geometric research. We hope it will be used by teachers to demonstrate, and by students to explore.

PolygonFlux can be used just for fun to explore the esthetic variation of patterns created by lines, colors, and shadows.


Image cropped from the center of a Fluxagon

PolygonFlux dynamically combines Geometry, Art, and Technology.

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