Parallelogram and a half

I worked on this parallelogram some time ago. The only other example of it that I found, was this radial tiling… https://www.geogebra.org/m/mCYSQSeu

I constructed the parallelogram using twelve iamonds

Reptiles (https://en.wikipedia.org/wiki/Rep-tile) can be made up from the sequence 1, 4, 9, 16, 25, 36 etc.

A few interesting periodic tilings

The shape can also be put together to produce diamonds…

… which in turn can make hexagons of unlimited size and designs.

Radials can be compiled from 60° wedges.

Zigzag formations are unlimited.

Radials with various shapes at the core.

A few motifs exhibiting 3D illusion qualities.

… as well as chaotic tilings that continue forever.

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