"Orbits" is a diagonally-banded torus with 9-fold rotational symmetry, and two "latitude" bands for support.
The 90mm polished brass piece was made by Shapeways in spring 2023 using lost-wax casting.
#mathart
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"Trinity" is a (highly) stylized depiction of the complex cube root. The 90mm polished brass piece was made by Shapeways in spring 2023 using lost-wax casting.
Two mathematical specimen-viewers for real surfaces coming from 4- and 6-space, some of my goals for visualization (written mostly for non-mathematicians), and links to more "formal" portraits of these surfaces for sale. Read more:
https://www.diffgeom.com/blogs/free-online-math-materials/shadows-from-higher-dimensions/
#Math #MathArt
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In the following artworks the corners of the polygonal lines are rounded.
#mathart #algorithmicArt #AbstractArt
These artworks are based on a generalization of Lucas sequences for complex numbers, defined as:
Z(0) = 1
Z(1) = 1 or i
Z(n) = shrink( e^(iθ)·Z(n-1) + Z(n-2) )
Where shrink() is a function which decreases a complex number into the two-unit square or the unit circle centered at the origin. In these works I use three different versions, based on taking out the integer part of the real and imaginary parts (or the integer part minus 1), or of the modulus of the number in polar form.
Figure 1 depicts the 128 values walk using θ = π/5 and Z(1) = i, and the shrinking function which takes out the integer part of the real and imaginary parts.
In the three artworks that follow, the lines connecting successive values toggle between being drawn or not. See the alt text for more information related to the artworks.
#mathart #math #algorithmicArt #AbstractArt
hmmm yes, I'm going to call ðis ðe "Ain't nobody need the Amazon when we have Amazon at home" #tiling 
Exterior wall border, Pavilion Theatre, Gorleston-on-Sea, England
“built in 1898 and was designed by the Borough Engineer J W Cockrill…and is currently closed to the public.” https://en.wikipedia.org/wiki/Gorleston_Pavilion
#TilingTuesday #theatre #geometry #tiling #MathArt #photography #architecture #history
#TilingTuesday - #Tiling with triangles and squares.
Star 8 Octad, modular origami made from eight units. Only four folds on each unit and two for assembly.
Edit: Instructions are here: http://foldworks.net/wp-content/uploads/2025/07/Starburst8Octad069.pdf, from my book ‘Star Origami: The Starrygami Galaxy of Modular Origami Stars, Rings and Wreaths’ (CRC Press, 2021) https://www.routledge.com/Star-Origami-The-StarrygamiTM-Galaxy-of-Modular-Origami-Stars-Rings-and-Wreaths/Lam/p/book/9781032022338
#origami #ModularOrigami #photography#craft #design #PaperCraft #MathArt #ArtistOnMastodon #ArtistsOnMastodon #graphic #design #artwork #2D #vector #illustration #illustrator #art #artist #arts #arte #designer #GraphicDesign #MastoArt #FediArt #CreativeToots @origami
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@wtrmt I quite like the overlapping 
Here's the Geogebra file if you want to play / edit 
https://www.geogebra.org/m/qg7qpfmt
GeoGebra · Spiral of connected similar polygonsSpiral of connected similar polygons
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And squares whose sides decrease by the plastic ratio (about 1.324). At one moment the spiral of five squares make one full turn.
#animation #loop #CreativeCoding #geometry #Geogebra #tiling #MathArt #pattern #GraphicDesign #design #GoldenRatio #PlasticRatio
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Now for equilateral triangles whose sides decrease by the plastic ratio (about 1.324). A slow version so that the plastic pentagon is clearer https://en.wikipedia.org/wiki/Plastic_ratio#Plastic_pentagon
The plastic ratio is probably not as well-known as the golden and silver (√2) ratios?
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@ark_brut A wonky six-strut tensegrity icosahedron. A first attempt that took way longer than expected
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Now squares increasing by the golden ratio
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Looping animation of silver rectangles with sides decreasing by 1/√2.
Looping animation of squares with sides decreasing by golden ratio.
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@ark_brut Another approach is to roll paper into a tube and cut notches. I might try this later https://www.youtube.com/watch?v=65BM4K1k77U
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@ark_brut A bit beyond my current skills, so I looked for something much simpler: https://www.youtube.com/shorts/g0-eD9c5uog. I used four lolly sticks and two rubber bands lying around the kitchen.
The only tricky part was cutting the notches with a craft knife and a self-healing mat.
I might try other tensegrity structures, but some need holes like the bed slat structure which is a step up in terms of equipment and skills.