Sunday, August 15, 2010

Irregular Boundary Diagrams

This boundary diagram is based on a pentagon and three triangles. Two of the triangles are scalene, and the tile structure underneath is irregular, with gaps. The dot pattern transitions from regular to highly irregular. Nevertheless, from the regular bottom of the image to the irregular top the pattern retains some common horizontal and angular alignments.

This is one of several boundary diagrams that I've done combining tiles that would easily be regular tessellations with a transition triangle or two. Previously, I have designed self-similar scaling tile sets that suggest a regular if not gap-less tiling. In this case, the scalene triangles make the transition of pentagons and isosceles triangles from one scale to the next.

Here's a similar example, but with three rhombi and an isosceles triangle making the transition.

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