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Two-sided rhombus tiles with hidden tabs — image 1
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Two-sided rhombus tiles with hidden tabs

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60-120 rhombus tiles that can be laid out in a variety of tessellations. Printed in two colors for a checkered look

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Similar to https://www.printables.com/model/832711-interlocking-rhombus-tiles but using hidden tabs instead of interlocking jigsaw pieces. These can be laid out to form a variety of so-called lozenge tilings, which can also be interpreted as orthogonal projections of stacks of cubes. I switched the filament while printing to get black bottoms and red tops. This makes the flat surfaces of the orthogonal projection look like checkerboards.

Here is an interesting paper on these tilings: https://www.stat.berkeley.edu/~vadicgor/Random_tilings.pdf

I was surprised that these hidden tabs work as well as they do. The result holds and is somewhat liftable but will fall apart with a small amount of force.

 

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