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Fatis Tiles

I saw a picture of a wall tiled with rotations of this one simple yet great tile, and had to make one to play around. The turning point is clunky, but I don't know a way in GeoGebra to read the cursor coordinates. Original images: http://vjeranski.tumblr.com/post/179807686413/ofhouses-585-carlo-scarpa-sergio-los
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