Actual aperiodicity news on The Aperiodical! This is probably the biggest aperiodicity news we’ll ever cover here: David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss…
You can easily try at https://t.co/l4ZFMW2lap your own layout for the new Smith, Mayers, Kaplan, Goodman-Straus chiral aperiodic #monotile. The applet also allows you import your own tile design.
Monotile "Einstein", see An aperiodic monotile, by David Smith, Joseph Samuel Myers , Craig S. Kaplan , and Chaim Goodman-Strauss.
Decorating hats, part 2. On the weekend I described some of my adventures creating and tiling the newly discovered hat aperiodic monotile using decorated kites. Previously I used one and then two decorated kites. Here's an example with four decorated kites.
A square from the fifth simple nonperiodic tiling using pattern ...
Information about Aperiodic Loudspeaker Enclosure Design.
Penrose Tile - Helsinki, Finland via eschertile #Tile #Penrose_Tile #Helsinki #eschertile
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Super tiles of thin and fat diamonds at iteration level 6.
Binary 7-fold tiling, stars constructed of mid and thin sized rhombs
Another fractile using the triangle generator from version 1 (iteration levels 1, 2 and 4).
Order 9 substitution tiling of the PlusPlus tiling at iteration level 1, 2 and 4 tiling starting with a square prototile. After Jim Millar's original at his Pinterest pin board "Aperiodic tiling". D.K. 2021/03/08.
First mandala and two iterations from the fourth nonperiodic square-triangle substitution tiling. (Original)
Mandala based on tiling by Theo Schaad, variation 1, using rhombs pi/3, can be built with pattern blocks. Iterations 0 to 2. The mandala of each iteration appears in the center of the next.
Green and blue triangles with 5 iterations from a diamond-triangle substitution tiling. (Original)
This tiling can also be generated by its order 3 equivalent. But, the basic generator (first image in the column) can be used for more tiling variations.
Patch from super tile of tile #6.
