Does anyone know if there's a client or web app that generates Penrose patterns which can then be converted to a tileable rectangular background image for web site?
I found this but I can't seem to get a rectangular shape out of it for web use. Thanks.
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$\begingroup$I believe, since Penrose tilings are aperiodic (lacking translational symmetry), there isn't such a rectangular shape.
$\endgroup$ 3 $\begingroup$I found this java software that exports as PNG. You cannot tile it, just use an image.
$\endgroup$ $\begingroup$Only dragging up an old post because there's still something more to do -- if you want a penrose tiling as a background, I built one a while ago that will generate an image for your purpose:
Of course the tiles don't fit perfectly into a rectangle (they are clipped at the edges), it should work just fine as a pretty background image.
$\endgroup$ $\begingroup$here is a shadertoy program for 5 axis quasi symmetry pics, it's not as tileable as a tile version.
I just wrote a program to investigate 5 fold symmetry in 2d, it generates something akin to penrose tiling.
here is a pic and a video on YT:
i am not convinced that it can't practically be tiled in a square shape, you may have places where only one triangle is wrong in a frame of 1000 of them or something, else you could find a place with good 4 fold symmetry and blur some small places where is different on the edge.
$\endgroup$ $\begingroup$I found this page, it generates an SVG image:
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