#tesselation

[careful-disorder]

M.C. Escher, Two Birds

[mytheetarecold]

Today's birbs! Swellow and Rowlet.

[knotty-et-al]

Einstein monotiles as bead rags.

The spherical beads are packed densely to form a sensorically interesting surface, materialized as a "rag".

Assembled in the shape of the Einstein monotile, they can be played with as if they are mosaic bricks.

And as you can see, these three monotile rags tile relatively neatly. There are only gaps between the tiles where I would have needed half a bead.

This has to do with the angles of the monotile:

The einstein monotiles have angles of 60, 120, 240, 90 and 270 degrees.

As all these angles are multiples of 60 and 90 degrees, I can construct these bead rags with my spherical beads. For the multiples of 60 degrees it is quite easy to pack, but to get multiples of 90 degrees I have to skip each second row.

[staticstream]

Post-reconstructive surgery tessellation

[cusaqphotos]

[ivo3d]

tessela - difraction version (hommage á Vasarely: Vega series, recorded .gif version of the interactivity)

[395nm]

[threadedtheorems]

Why have a regular star when you can have a mathematical star? ✨

This star is a section of the Penrose tiling, an aperiodic tiling that can cover the plane without having a repeating pattern. In the tiling, small symmetric areas like this star appear, but they don’t join together in a uniform way.