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Dot matrix dragon curve
I was going through some stuff around Christmas time and found some really old dot matrix prints. I think I had a Atari 520 STFM and a Lexmark printer at the time. The first is a Heighway dragon curve...
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Intermission – Artbreeder
I’ve spent many hours playing with this text prompt to image AI generator – it’s amazing… https://www.artbreeder.com/ Here’s just a few of the images I have created (in no particular order). Click on...
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Drafters ‘R’ Us
Drafters are 30-60-90 degree triangles and can produce some neat patterns. The examples that follow are all grid based. From left to right, duck, meerkat and electric eel. Three ducks can be assembled...
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It’s a shape Jim, but not as we know it
Thanks to the super human effort of Craig Kaplan, Joseph Myers and Chaim Goodman-Strauss, the hat and turtle polykites have finally arrived on the scene… https://arxiv.org/abs/2303.10798 This article...
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Pretty Polykites
One of a few polykites that I found around the time of the hat. It reminds me of a woodlouse or perhaps some sort of dinosaur. Woodlice can form attractive radial patterns with 2, 3 and 4-fold...
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Striations
‘Sphere’ is an applet I found on Jaap’s Puzzle Page some years ago… https://www.jaapsch.net/puzzles/sphere.htm I used it to create fictitious petanque boules (although one or two I recognise) with...
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The Special One
So, for those that thought the hat was two shapes, then I have a surprise for you. The Spectre doesn’t need reflections to tile non-periodically, making it a true or chiral einstein (actually two, as...
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Wheel Tiling and the Spectre
The image below was taken from the Tilings Encyclopedia site (the very last entry) maintained by Dirk Frettlöh and Franz Gähler. The Wheel Tiling was discovered by Hans-Ude Nissen....
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Two alternative (turtle) proofs
The first is the joint work of Prof. Shigeki Akiyama and Yoshiaki Araki. https://arxiv.org/abs/2307.12322 And here’s another similar but simpler proof by someone mysteriously known as mathblock8128....
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Announcement
I’m moving to another platform, as I’m fed up with the annoying unrelated ads that appear in WordPress. It’s something I didn’t ask for and I receive no money from them. I could upgrade from the free...
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