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#fractal

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A star knot for #TilingTuesday

A dodecagon ring can be made from squares and triangles. There are three nice way to connect decagon rings to hexagons - each with a small star inside. If you connect the rings into a larger hexagon you start seeing a koch snowflake. This snowflake can also be tiled with squares and triangles, joining select shapes you can make a nice knot.

#knot#geometry#fractal

Koch revisited! Another non-regular fractal produced with the idea of the previous post mathstodon.xyz/@DaniLaura/1147 (and no randomness), see first figure. Each triangle generated from a side also depends on the sizes of the current neighbour sides, not just from the side size. Two opposite triangles are generated from each side, the internal one being invisible (but its offspring do not inherit this trait). In the second figure a regular variation where triangles are put off-centre. Here the initial triangle is not drawn as well.
#fractal #mathart #algorithmicArt #AbstractArt #geometry