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Non-polygonal tessellation is tessellation in which the individual units are not polygons. Some are derived from concave polygons with smooth curves replacing angular parts. This browser is rubbish for graphics but I will try:

Ignoring all the full stops (which are used as spacers), try to visualise the shapes below as two dumb-bells of the same size! I appreciate that they are anything but that but you try it on this browser! The upper one has its bar horizontal and the lower one vertical. If the angular bits are replaced by smooth curves then each dumb-bell will consist of two convex semicircles joined together by two concave semicircles. This new shape will tessellate and, since it has curves instead of straight lines, it is not a polygon. There are others.


...___..........___

./......\____/......\

|........____.......|

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.......|.........|

........\......../

........|......|

......./.........\

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.......\______/

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Q: What is a non-polygonal tessellation?
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