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Triangle Tessellation with Hexagonal Gap

We were working on Islamic tessellations in class, and Ashley Short came up with a nice one, that had several different structures. http://ashleynshort.weebly.com/mth-495-spring-2014/tessellations#comments That was enough to get me experimenting with intentionally leaving a gap. This try has rotation points fixed at a third of the distance along the triangle, and another one allows you to set the rotation point. http://www.geogebratube.org/material/show/id/118940 The gaps are essentially a second tile, since they are all congruent.