#mathsart — Public Fediverse posts

Cubic floor tiles, Imperial Citadel of Thăng Long, Hanoi, Vietnam

The cubic tiling fits neatly into the square tiles. This makes me think that the quadrilaterals are not the rhombuses (diamonds) of a rhombille tiling 🤔

#Tiling #TilingTuesday #Pattern #Geometry #MathArt #MathsArt #photography #TravelPhotography #Hanoi #Vietnam

27 pieces.

I made it by from boromean rings at each corner, and then added the middle pieces. It still kind of works the same way, if you remove any one colour the other two are disconnected.

#geometry #mathart #mathsart #knots #3D #art

Sine Fractal

Something that I made with Processing by adding up sine waves with progressively doubling frequencies in polar coordinates.

#CreativeCoding #Generative #GenerativeArt #GenArtClub #AlgorithmicArt #Math #Maths #MathArt #MathsArt #Geometry #Geometric #GeometricArt #Fractal #Fractals #FractalArt #Abstract #AbstractArt #Digital #DigitalArt #Processing #Art #Artwork #MastoArt #ArtistOnMastodon

Optical Circuits

Made from one of my Processing noise artworks using diagonal pixelation, edge detect, softglow, and colorization of the softglows

#CreativeCoding #Generative #GenerativeArt #GenArtClub #Geometric #Abstract #AbstractArt #Colorful #Colourful #Digital #DigitalArt #Neon #GIMP #Processing #Tech #TechArt #Cyberpunk #CyberpunkArt #Rainbow #Rainbowcore #AvantGarde #Experimental #MathArt #MathsArt #Symmetry #Glow #Art #Artwork #MastoArt #ArtistOnMastodon

180-90-270

Another rotated polar abstract - successive mappings to polar coordinates in-between rotations. In this case I rotated it 180°, then 90°, then 270°, rather than rotating it 90° every time.

#Geometric #GeometricArt #Math #Maths #MathArt #MathsArt #GIMP #Abstract #AbstractArt #Color #Colour #Colors #Colours #Colorful #Colourful #Curve #Arc #Circle #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

#Polyhedron #Polygons #tiles #opticalillusion #MathArt #MathsArt

The video in this post by @graveolensa

https://mathstodon.xyz/@graveolensa/115885487505867437

about people with 4 color cones having a sphere's worth of hues is fascinating but, being a trichromat, i don't fully understand it or know if its correct. Here is a mathematically simple but scientifically crude analogy between trichromaticity and tetrachromaticity.

A note on the figures, although this is about color vision and the figures have been colored the colors in the figures are just rough guides for trichromats, which most people are. This analogy is too crude for the colors to precisely match a trichromat's color experiences.

The visible spectrum is rounded off to the interval [415 THz, 715 THz]. The cone cells' activation, as a function of the frequency of monochromatic light they receive, are idealized to the piecewise linear spectral sensitivity curves shown in the figure. They are surjective to \([0,1]\) so as to implement Ooqui's "rule of hue". Call them \(r(\nu)\) (red cone), \(g(\nu)\) (green cone), and \(b(\nu)\) (violet cone).

Each cone type has exactly 1 frequency of monochromatic light where it is the only type of cone that is activated and that cone's activation is 1 at that frequency. These frequencies are 415, 565, and 715. At every other frequency in the visible spectrum exactly 2 cone types are activated by monochromatic light and the activation of at least one of them is 1.

(1/6)

Julia Doubly Mapped

A while ago I made a fractal that consisted of basically generating a Julia set and using Fractal Trace to map it to the Mandelbrot set. In this one I took the same image and mapped it again, so there's more complexity to the shapes and colors.

#Fractal #Fractals #FractalArt #FridayFractals #Abstract #AbstractArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Geometric #GeometricArt #GIMP #Complexity #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

(1/?)

Some bead lace based on a pattern of dodecagons.

I have made bead lace before by crocheting through beads, but this piece was done with beading needles.

#beading #mathart #mathsart #tiling

It's #TilingTuesday - a pattern made with @zellige

#MathArt #MathsArt #Geometry #Art #Zellige

Polar Fractal

Made by mapping an image to polar coordinates several times, meaning this image is the composition of about 20 or so rectangular-to-polar coordinate mappings. It has resulted in a very complex design.

#Fractal #Fractals #FractalArt #Geometry #Geometric #GeometricArt #GIMP #Math #Maths #Mathematics #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Colorful #Colourful #Experimental #AvantGarde #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

Hello #KaleidoSaturday

Mandala from a rooftop view.

There was scaffolding at the Nieuwe Kerk in #Amsterdam last year. A viewer platform was installed during construction works. In the beginning, the experience changed from impressive to scary pretty quickly. But you don't have the chance for such a view very often. After calming down for a while, I was rewarded with new perspectives.

#Art #GenerativeArt #kaleidoscope #mandala #MastoArt #MathArt #MathsArt #PsychedelicArt #visuals #OpenSource

Tiling of 320 equilateral shapes.

#Tiling #Geometry #MathArt #MathsArt #Art

Down the rabbit hole. A #3d #tiling with #toroids and cubes made with #hedron

#MathArt #Art #MathsArt

Perfect fit of Dodecahedra and Icosiododecahedra.

Testing latest Hedron beta.

#Geometry #MathArt #MathsArt #3d #Art #Hedron

#TilingTuesday I found 2 triangles, but not the ones I was looking for. Tiling of truncated icosahedrons and dodecagons.

#Geometry #MathArt #MathsArt #3d #Hedron

My first attempt at a #DiscreteDynamicalSystem Take a number, n If (n-1) is prime then map n -> n^2 If (n-1) is composite then map n-> Aliquot sum of (n-1) Numbers 1-19 all end in a cycle. I am not sure about 20. eg. 6 -> 36 -> 13 -> 16 -> 9 -> 7 -> 6. #mathsky #recreationalmaths #mathsart

Square with four vortices.

#Tiling #TilingTuesday #MathArt #Art #MathsArt #Geometry

It's #TilingTuesday

Here's a tiling of 5 pyramids.

#MathArt #Geometry #MathsArt #Tiling #Art

I accidentally did a maths. #RhombicDodecahedron #Origami #Papercraft #Maths #MathsArt

✨ #KaleidoSaturday ✨

#Art #GenerativeArt #kaleidoscope #mandala #MastoArt #MathArt #MathsArt #PsychedelicArt #visuals

#TilingTuesday Recursive decagon tiling variation.

#Geometry #MathArt #MathsArt #Art #Tiling

FotoVorschlag: Texturen / Textures

Detail of an entrance of the Royal Palace, Fes, Morocco, with ceramic and metal surfaces
#FotoVorschlag
'Texturen'

#Fotovorschlag #PhotoSuggestion #photography #design #geometry #Tiling #Pattern #Geometry #MathArt #MathsArt

#TilingTuesday Decomposition of decagon into pentagons and golden isosceles triangles.

There's a small cheat where some triangle sides meet two other polygons instead of just one. You could view these large triangles as composition of 2 Golden Isosceles and 2 Golden Gnomon and then any polygon side is only shared with one other polygon, but that just looks less neat.

#Geometry #MathArt #Maths #MathsArt #Tiling #Art

Hello #TilingTuesday

Spontaneously felt the urge to post some pg symmetry.

#Art #GenerativeArt #kaleidoscope #mandala #MastoArt #MathArt #MathsArt #PsychedelicArt #visuals

Some of my patterns are based on tilings with can be thought of as having overlapping parts, this overlap often consists of something that looks like a border.

An example is this sequence in which the “borders” are unclear until they resolve into borders of a snub square tiling, or its Cairo-type tiling dual.

https://mathstodon.xyz/@HypercubicPeg/109043217999286054

————

Often when I do something like this, I can find an infinite class of “tiles” where the pattern along the border can be incremented in some predictable way.

A little while back, I had a go at trying to interpret the Hat tile in a similar way using edge-touching dodecagons. Here is one of the versions that I liked.

#mathart #mathsart #aperiodicMonotile #monotile #tiling #tilingTuesday

A modular origami cube and a stella octangula. Each uses different units.

The stella octangula is a stellated regular octahedron and also the compound of two regular tetrahedra. It fits neatly inside a cube. https://en.wikipedia.org/wiki/Stellated_octahedron

From the exhibition "‘A Wonderful World, organised by the Embassy of Japan in Việt Nam and the Việt Nam Origami Group (VOG)’ … [showing works by] Mitya Miller, Nicolas Terry, and Tung Ken Lam, alongside new creations from VOG unveiled especially for the exhibition. … The exhibition runs until October 10 on the 4th floor, Gate C, at the Embassy of Japan, 27 Liễu Giai Street, with free admission." https://vietnamnews.vn/life-style/1726153/folding-fun-as-origami-art-springs-to-life.html

Image courtesy of VOG

#mathtober #polyhedron #origami #design #craft #Papercraft #photography #geometry #design #MathArt #ArtistOnMastodon #ArtistsOnMastodon #artwork #art #artist #arts #arte #designer #MastoArt #FediArt #CreativeToots #MathsArt #vietnam #exhibition #hanoi

Gilded Treasure

Image made using multiple levels of polar coordinate mappings.

#Geometric #GeometricArt #Math #Maths #Mathematical #MathArt #MathsArt #MathematicalArt #Abstract #AbstractArt #Digital #DigitalArt #Pixel #PixelArt #GIMP #Art #Artwork #MastoArt #ArtistOnMastodon

Created a video for #KaleidoSaturday but missed to post it. So why not do that on #TilingTuesday?

https://makertube.net/w/d1MdodB3HbifNkf9DLb4DY

There are still some problems with skipped frames. But it has a much better overall impression than the first try.

#Art #GenerativeArt #kaleidoscope #mandala #MastoArt #MathArt #MathsArt #PsychedelicArt #visuals

An animation of blue and lilac squares made with Geogebra

#geometry #loop #square #star #IslamicPattern #pattern #CreativeCode #procedural #creativeCodeArt #geogebra #animation #design #MathArt #ArtistOnMastodon #ArtistsOnMastodon #graphic #design #artwork #art #artist #arts #arte #designer #GraphicDesign #MastoArt #FediArt #CreativeToots #MathArt #MathsArt