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Esherymack — boris by-nc-nd

#hd #2160x1440 #art #abstract #apophysis #blue #chaotica #digital #fractal #geometric #green #irrationality #linear #orange #tan #tiling #wallpaper #ammann #esherymack
Published: 2019-07-27 19:37:30 +0000 UTC; Views: 1286; Favourites: 57; Downloads: 27
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Description

So long story made short, my friend Boris sent me a Mathologer video the other day on Visualising irrationality with triangular squares and said he wanted a root 3 or root 2 fractal... little did he know that all Ammann tilings are products of square roots. This is the result of the root 2 option


((also oops I mistyped the resolution in rendering... bugger))


teundenouden gave me some advice here, using the root 3 example.


Apo/Chaotica

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Comments: 12

EddsWorldmemessss [2019-07-28 15:50:57 +0000 UTC]

What the mother of God is this??
Also will done 😌👌

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Esherymack In reply to EddsWorldmemessss [2019-07-28 20:16:48 +0000 UTC]

It's a fractal ! A geometric figure of which each part iterates infinitely, basically math magic This particular one is a "linear tile," meaning it's a specific arrangement of linear transforms to create a specific pattern. The specific one is the Ammann A4 tiling, which you can find described here


Thank you so much!

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EddsWorldmemessss In reply to Esherymack [2019-07-29 15:02:32 +0000 UTC]

Oh 🙃

Also your welcome 😌👍

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teundenouden [2019-07-28 15:05:30 +0000 UTC]

nice tile madison!

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Esherymack In reply to teundenouden [2019-07-28 20:16:56 +0000 UTC]

thank you

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teundenouden In reply to Esherymack [2019-07-28 21:21:04 +0000 UTC]

yw, also nice colours!

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Cyndrome [2019-07-28 10:52:44 +0000 UTC]

I've got no idea what I'm looking at, but the result is really pleasing to the eye. 

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Esherymack In reply to Cyndrome [2019-07-28 14:11:25 +0000 UTC]

I kind of explained it in the description, but basically it's a visual/geometric representation of the square root of 2. In terms of geometric tiles, this is an Ammann A4 .


Thanks so much!

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BulkyCastsPlz [2019-07-28 02:28:10 +0000 UTC]

And now my comforter feels inadequate.

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Esherymack In reply to BulkyCastsPlz [2019-07-28 03:35:20 +0000 UTC]

lol


thanks!

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FractalRock [2019-07-28 01:45:12 +0000 UTC]

Very nicely done!

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Esherymack In reply to FractalRock [2019-07-28 03:35:25 +0000 UTC]

Thank you!

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