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Subject: Non repeating pattern.

SamTherapy opened this issue on Apr 04, 2023 · 6 posts
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SamTherapy ( ) posted Tue, 04 April 2023 at 2:20 AM · edited Sat, 06 July 2024 at 2:44 PM

https://www.theguardian.com/science/2023/apr/03/new-einstein-shape-aperiodic-monotile

Following on from the recent thread about texture bombing, here's a new discovery that features a shape which tiles but never in any repeating pattern.

Coppula eam se non posit acceptera jocularum.

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NikKelly ( ) posted Tue, 04 April 2023 at 6:04 AM

https://phys.org/news/2023-03-geometric-tiled.html

This has their base hexagonal grid, with the additional guide-lines (@ 0º,30º,60º,90º)  to give 6 LH + 6 RH right-angle triangles per hex and simplify construction.

Though not much of a 'Recreational Mathematician', I was stunned by its minimal elegance...

Y-Phil ( ) posted Tue, 04 April 2023 at 9:37 AM
SamTherapy posted at 2:20 AM Tue, 4 April 2023 - #2978508

https://www.theguardian.com/science/2023/apr/03/new-einstein-shape-aperiodic-monotile

Following on from the recent thread about texture bombing, here's a new discovery that features a shape which tiles but never in any repeating pattern.

Why is your link opening two windows, one with an onion-related site? 
Is theguardian trynig to inject anything?

PhYl.

Win10 on i7 8700K@4.3Ghz, 64Gb, Asus TUF Gaming RTX 4070 OC Edition, 2x 2Tb ssd + 6+4Tb hd  + 1x 8Tb hd + 1 10T NAS, Poser 11, Poser 12  and now Poser 13 

Sunfire ( ) posted Tue, 04 April 2023 at 11:44 AM

I can actually see a repeating pattern in the first image in that article. It does not repeat horizontally or vertically but instead diagonally.

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NikKelly ( ) posted Tue, 04 April 2023 at 1:00 PM

But it does not have to, unlike hex+pent, or Penrose's kites etc...

The 'Grauniad' has a reputation for oopsies...

;-)

SamTherapy ( ) posted Tue, 04 April 2023 at 2:24 PM
Sunfire posted at 11:44 AM Tue, 4 April 2023 - #4460734

I can actually see a repeating pattern in the first image in that article. It does not repeat horizontally or vertically but instead diagonally.

I spotted that but the surrounding, lighter coloured tiles are different, if they'd picked a wider range, you'd be able to tell easier.

Coppula eam se non posit acceptera jocularum.

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