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teundenouden — Socolar 12-fold by-nc-nd

#12 #apophysis #chaotica #fold #fractal #hexagon #ifs #linear #rhomb #square #substitution #tiling #transformation #aperiodic #nonperiodic #socolar #tessellation
Published: 2018-04-29 23:03:56 +0000 UTC; Views: 1237; Favourites: 49; Downloads: 0
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Description I struggled getting this done, but I finally got it YES!
This is a 12-fold quasistructure substitution-tiling found by Joshua E. S. Socolar. This particular tiling was a pain to built in apophysis as an IFS because it has a lot of shapes of which a lot had to be cropped in really weird ways to get rid of the fractal boundaries. When I got the tile done, I decided to make an supertile out of it which was just as hard. First I had to make a pattern of 3 connected hexagons and then tile that along the x-axis which I would then rotate by 60° and tile on the x-axis again so that the pattern repeated on x and y.
There occured something weird concerning the cropped pieces too so I've spent a few days to figure that out and fix it properly.
I've used the following transformations: linear, post_crop, smartcrop, split_rot, tile and mobius to get this done and it was a neat challenge!

Find the substitution rules in socolar's publication: Simple octagonal and dodecagonal quasicrystals

Built with apophysis 7x and rendered with chaotica 1.5.8
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Comments: 2

sragets [2018-05-05 20:30:54 +0000 UTC]

Great to see what you've accomplished!

👍: 0 ⏩: 0

AkuraPare [2018-05-01 10:25:19 +0000 UTC]

👍: 0 ⏩: 0