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#mathart

4 posts2 participants0 posts today
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Dani Laura (they/she/he)

These creatures are made with an IFS which transform one arc into several connected arcs (specifically 1/6 of circumference, which gives more possibilities than other fractions). I show the results of just two iterations for several decompositions, more produces less aesthetic outcomes, and even more the result is indistinguishable from usual fractals. In this post the shapes are derived from a full circumference, next post will include other outcomes derived from other initial shapes (composed by sixths of circumferences).
#MathArt #Mathematics #IFS #fractal #art

A funny curvy subfractal in violet gradient, 6-fold symmetry.
A funny curvy subfractal in indigo gradient, 6-fold symmetry.
A funny curvy subfractal in red gradient, 6-fold symmetry.
A funny curvy subfractal in green gradient, 6-fold symmetry.
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Dani Laura (they/she/he)

These two art pieces are based on the deformation of a hexagonal tiling into a topologically equivalent "tiling" composed of parts of concentric circles, all parts having the same area (third image). Selecting one hexagon as the center, we transform it into a circle of radius 1. Next concentric circle will hold the 6 adjacent tiles as sectors of rings. And so on, the circle of level n will have radius sqrt(1+3·n·(n+1)) (difference of radius when n tends to infinity approaches sqrt(3)). This map can be coloured with three colours, like the hexagonal tiling. For the artwork, suppose each sector of ring is in fact a sector of a circle hidden by inner pieces. Then choose a colour and delete all pieces not of this colour. Two distinct set of sectors can be produced, one choosing the central colour, one choosing another colour. Finally recolour the pieces according to its size.
#MathArt #Art #Mathematics #geometry #tiling

Artwork in yellows, oranges and reds, like an explosion.
Artwork in multiple colours, radial 3-symmetry.
Deformation of a hexagonal tesselation into concentric circles.
Public
Kake

A while back, @gwenbeads posted about the book “A Stitch in Line: Mathematics and One-Stitch Sashiko” by Katherine Seaton, and it was so relevant to my interests I had to get hold of it. I’ve been working through it ever since, stitching the samplers and playing with the maths.

I’m currently paused at the end of chapter 8 as I wait for new thread (Retors d’Alsace!!!) to arrive for the next sampler. Here’s a photo of all my samplers so far, done on my hand-dyed muslin scraps; my plan is to patchwork them all together into a hanging once I’ve finished.

Gwen’s review of the book is in a paywalled journal, but she’s put a link to free copies (of the review, not the book) here: mathstodon.xyz/@gwenbeads/1140

Seventeen small-to-medium square and rectangular pieces of cotton fabric dyed in shades of pink, purple, and blue, laid out on a cutting mat. Hitomezashi designs have been stitched on them in coordinating colours: crosses, squares, and fractal-looking designs, some regular and some random.
#MathArt#MathsArt#Embroidery
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