#aperiodic — Public Fediverse posts

Bad Apple!! but it's an aperiodic tiling using the hat monotile.

See also on PeerTube and YouTube:

https://makertube.net/w/fs3rbUMqJeVcZagdZQ6RfH

https://www.youtube.com/watch?v=RLZx-5ymfDU&list=RDRLZx-5ymfDU

#badapple #monotile #aperiodic #meme #tiling

Bad Apple!! but it's an aperiodic tiling using the hat monotile.

See also on PeerTube and YouTube:

https://makertube.net/w/fs3rbUMqJeVcZagdZQ6RfH

https://www.youtube.com/watch?v=RLZx-5ymfDU&list=RDRLZx-5ymfDU

#badapple #monotile #aperiodic #meme #tiling

There is a molecule which behaves like the Einstein tile:
https://scitechdaily.com/scientists-thought-they-made-a-mistake-but-it-led-to-a-groundbreaking-molecular-einstein-discovery/
#maths #mathematics #tiling #chemistry #aperiodicity #aperiodic #chrystals #chirality #nature

Hats on a soccer ball by @jonpaulsballs #BridgesMathArt #aperiodic #monotile #tiling #geometry

Hats on a soccer ball by @jonpaulsballs #BridgesMathArt #aperiodic #monotile #tiling #geometry

When it comes to debugging, I have a bad habit of sometimes guessing parameters when I think that all that prevents me getting the output I expect is something simple, like an incorrect sign. Invariably I end up wasting far too much time making increasingly complicated guesses, when a few minutes thought and some pen and paper would have revealed the bug. I don't recommend this habit to anyone, but in one instance it led me to discover a series of tilings that I probably wouldn't have found otherwise.

Take a tiling of turtle tiles (a version of the chiral aperiodic monotile), throw away the tiles with less frequent handedness, and flip the other tiles about the axis shown in the first image. This doesn't produce a new tiling, since there will be overlaps. However, the tiles can be grouped in roughly triangular clusters of 1, 3 or 6 tiles, all with the same orientation modulo \(120^\circ\), and the tiles in each cluster don't overlap after flipping. In addition, the clusters of flipped tiles can be translated in a consistent manner to avoid overlaps, leaving a partial tiling whose gaps all have the same shape - the 'rooster'.

(1/n)
#tilingTuesday #aperiodic #monotile #tiling

[Up and Atom] on the recent aperiodic monotile discoveries earlier this year
https://youtu.be/A1BhOVW8qZU
#aperiodic #monotile #AperiodicMonotile #mathstodon #mathematics #math #maths

Today I acquired an #aperiodic #monotile known as the 'hat', rendered in foam. The squiggles on it are signatures of David Smith, the 'hobbyist' #mathematician who discovered the shape, and Chaim Goodman-Strauss, who worked with Smith on the proof confirming that it is definitely an aperiodic monotile (the first one to be discovered!)

Today I acquired an #aperiodic #monotile known as the 'hat', rendered in foam. The squiggles on it are signatures of David Smith, the 'hobbyist' #mathematician who discovered the shape, and Chaim Goodman-Strauss, who worked with Smith on the proof confirming that it is definitely an aperiodic monotile (the first one to be discovered!)

I think I have found an original simple proof the the Turtle #aperiodic #monotile cannot tile periodically. https://mathblock8128.wordpress.com/2023/07/15/the-turtle-prototile-is-not-periodic-a-simple-proof/

This is a repost of a twitter thread where I explain the concept of drainage for tilings of the Hat #aperiodic #monotile. Might change a few bits, but this will mostly just be a copy job.

This is a repost of a twitter thread where I explain the concept of drainage for tilings of the Hat #aperiodic #monotile. Might change a few bits, but this will mostly just be a copy job.

HEY #STEM #TRANS kidz!🦇​

Looking for a journal that is MATHEMATICAL and unique?

Come look at this #aperiodic #monotile known as HAT done in a trans flag colour pattern with a bold framing in black.

200 pages with space for date, day of week and time at top and the page filled with dots to allow each page to suit daily needs.

Support a fellow #LGBTQIA Trans cat and buy a #journal for yourself or as a gift!

https://a.co/d/11nCvJ7

Hey #STEM peeps and pups and cats and others!
Check out my #aperiodic #monotile design using #HATS

It is a #ProgressPrideFlag with #transflagcolors making up the monotile.

GO LOOK!
BUY SOMETHING!

https://www.redbubble.com/shop/ap/147758622?asc=u

Oi, maths people (‘cos I’m not one):

Can there be such a thing as a Voronoi aperiodic monotile?

#maths #voronoi #aperiodic #monotile

I guess that #aperiodic #monotile tiled floors could be annoying to #OCD people. Sometimes I find myself avoiding the gaps between tiles, but not compulsively or obsessively.
#NumberPhile

https://youtu.be/ArADlJx7SlU?list=TLPQMjUwNjIwMjNvFmKlxUoq-g

Journal I designed is now up for sale! #STEM Folx that like #aperiodic monotile stuff check it out!

#monotile #journal #hardback #pride #nonbinary

Non-Binary Specter Journal https://a.co/d/22rlUMl

Journal I designed is now up for sale! #STEM Folx that like #aperiodic monotile stuff check it out!

#monotile #journal #hardback #pride #nonbinary

Non-Binary Specter Journal https://a.co/d/22rlUMl

I doodled a spectres tonight (image is here, tiles are on my blog post).

https://fractalkitty.com/2023/06/07/spectre-tiles/

#spectre #aperiodic #monotile #mathart #fresco #jellyfish #tiling #chiral #ocean #hat

The Aperiodic Monotile Earrings arrived! I made a Ko-fi Shop for them: https://ko-fi.com/s/5852007096

[Edit July 2: shipping to UK and Canada, can look into shipping elsewhere too!]

#aperiodic #monotile #mathstodon #mathart