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Dani Laura (they/she/he)
Dani Laura (they/she/he)
@DaniLaura@mathstodon.xyz  ·  activity timestamp 5 days ago

I have devised a new algorithm for #tiling, this time not restricted to rectangles, but for general convex quadrilaterals. Starting from a convex quadrilateral, divide it in two, by splitting the pair of longest opposite sides into two fixed proportions (one for the larger side, one for the smaller), joining the cutting points with a segment, and iterating recursively. Some of the artworks I got, by stopping recursion depending on the position of the quadrilateral on the canvas. In these artworks, the colour of each quadrilateral is assigned depending on its shape (relative size of its sides, and sometimes of its diagonals), with absolute size affecting brightness as well. Colours in each artwork depend as well on how each computed value is assigned to RGB values, but even when it is the same, as in the first and second pictures, results are quite different when generated quadrilaterals are. Titles of these works are "Precious walk", "Jam session", "Visit to the flower garden", and "Life paths".
#TilingTuesday #MathArt #Mathematics #quadrilateral #modernart #ArtistsOnMastodon #GenArt #algorithmicArt

Artwork in purple, blue, cyan and grey shades. Quadrilaterals are smaller and brighter at the central horizontal line.
Artwork in purple, blue, cyan and grey shades. Quadrilaterals are smaller and brighter at the central horizontal line.
Artwork in purple, blue, cyan and grey shades. Quadrilaterals are smaller and brighter at the central horizontal line.
Artwork in purple, green, blue, pink and yellow shades. Quadrilaterals are smaller and brighter at the centre.
Artwork in purple, green, blue, pink and yellow shades. Quadrilaterals are smaller and brighter at the centre.
Artwork in purple, green, blue, pink and yellow shades. Quadrilaterals are smaller and brighter at the centre.
Artwork in purple, dull green, blue, red and brown shades. Quadrilaterals are smaller and brighter at the centre.
Artwork in purple, dull green, blue, red and brown shades. Quadrilaterals are smaller and brighter at the centre.
Artwork in purple, dull green, blue, red and brown shades. Quadrilaterals are smaller and brighter at the centre.
Artwork in pink, purple, orange and cyan shades. Quadrilaterals are smaller and brighter in the central horizontal line.
Artwork in pink, purple, orange and cyan shades. Quadrilaterals are smaller and brighter in the central horizontal line.
Artwork in pink, purple, orange and cyan shades. Quadrilaterals are smaller and brighter in the central horizontal line.
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