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The present paper reports a novel behavior involving regular polygons with nsides and filled to varying degrees with granular materials. These arecomprised of a set of hollow polygons produced on a 3D printer, and a singlelarger hollow hexagon fabricated with wooden sides and clear Plexiglas faces.Empty or full polygons stop immediately at shallow ramp angles, and roll thefull length of the ramp for steep ramp angles, approaching a terminal velocity.This is consistent with results previously reported by other investigators ofrolling solid polygons and partially filled cylinders. In contrast, partiallyfilled polygons released at shallow ramp angles accelerate to a "terminalvelocity," but then come to an abrupt stop. The distance traveled isreproducible and dependent on the ramp angle, number of sides and the volumefill ratio and is minimized when filled to 0.4 of its total internal volume.For larger ramp angles, the partially filled polygons again approach a"terminal velocity," but the terminal velocity is minimized, again near thefill ratio of 0.4. a simple model is introduced, but it is successful only inreplicating the overall trend in velocity as a function of time for the largeangle cases.

Rolling Polygons with Granular Material down an Incline