Masthash

#MathArt

Andrew D. Hwang
2 hours ago

Weierstrass's continuous, nowhere-differentiable functions are uniform limits of (smooth!) trig polynomials. In the image, virtual mountain ranges lie beneath the graphs of successive approximations to a Weierstrass function, translated horizontally for visual effect.

https://diffgeom.com/products/nowhere-differentiable-desert-mug

#mathematics #mathart

Receding virtual mountain ranges in a desert palette under a hazy sky.
codeismycanvas
15 hours ago

Day 5 of #ArtAdventCalendar

I made a bunch of these vector field images this past summer. Define a field x -> f1(x, y); y -> f2(x, y), and a set of initial values (in this case all the points on a circle). Trace the points along that circle through the field a few dozen times, while changing color at each step.

#mathart #vectorfield #ringoffire

Mathematically-generated image like a ring of fire, with a dark circle surrounded by yellow and red ribbons in various unpredictable directions.
Andrew D. Hwang
1 day ago

Early in 2024 at the Differential Geometry math art shop, we anticipate introducing 3D printed pendants, earrings, and pins. (To start these will only be offered in the US.)

The plated brass pieces shown are cyclides of Dupin, flat Clifford tori in the three-sphere mapped to Euclidean three-space by stereographic projection. Each cyclide is divided into diagonal bands bounded by two "parallel" Villarçeau circles. Unlike the meridians and parallels of a torus, Villarçeau circles are images of great circles (here, Hopf circles) in the three-sphere.

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Algebraically, view the real three-sphere as the set of complex pairs \((z, w)\) satisfying \(|z|^{2} + |w|^{2} = 1\). A Clifford torus may be viewed as the set of pairs where \(|z|^{2} = |w|^{2} = \frac{1}{2}\), or may be rotated in either complex axis to arrange that the three-space image is not a circular torus. The multiplicative unit circle acts by scalar multiplication: \(\chi_{u}(z, w) = (uz, uw)\). This action preserves Clifford tori, which are unions of great circle orbits. The geometric effect, if realized, would "slide the diagonal bands along themselves," a cross between a barber pole and a smoke ring.

https://diffgeom.com

#mathematics #mathart #3dprinting

Photograph of three diagonally-banded polished metal toroidal pendants 20, 25, and 30mm in size, sitting above a dime, nickel, and quarter for scale, against a single earth-toned ceramic tile.
Fractal Kitty
1 day ago

Contemplated life’s beauty in its details tonight. #nudibranch #symmetry #mathart

Mandala of alabaster nudibranchs with bubbles and a light source that is star-like in the center.
George Savva
2 days ago

Weird flow field! The code to make this is even more of a shambles than the output.

Kind of makes me want to invest in a plotter though :-)

#rtistry #generativeart #CreativeCoding #mathart

Flow field with black and red lines looking like a complex map or circuit board.
Andrew D. Hwang
2 days ago

The image below is an experimental crossed-eyes stereogram for a poster of the chaotic attractor for the ODE system
\begin{align*}
\frac{dx}{dt} &= 10(y - x), \\
\frac{dy}{dt} &= x(28 - z) - y, \\
\frac{dz}{dt} &= xy - \tfrac{8}{3}z.
\end{align*}

If you're willing to comment, it would be helpful to know whether the stereo effect is difficult to achieve and/or maintain.

#mathematics #mathart

A stereogram pair for the Lorenz attractor; with several randomly-chosen flow lines plotted in colors from purple to cyan.
Andrew D. Hwang
2 days ago

An open disk and a radially-slit open disk are conformally equivalent: There is an invertible holomorphic mapping from one to the other. The grid lines are the images of concentric circles and rays from the origin.

https://diffgeom.com/products/lotus-sunrise-wall-art-poster

#mathematics #mathart

A disk shaded from medium purple to fuschia, with gold grid lines suggesting a stylized lotus, against a gradient background fading from blue at bottom to black at the top like a twilit sky.
KristinHenry
3 days ago

Day 3 of #ArtAdventCalendar

Here's a fun piece I created for the last Genuary, an annual creative coding challenge.

In this one, I'm playing with sine curves and evolving colors.

I made a short post about it: https://www.patreon.com/posts/genuary-2023-day-75979244

#art #CreativeCoding #mathart #SciArt

Abstract art created with code. The pattern has sine wave patterns and lots of colors.
Abstract art created with code. The pattern has sine wave patterns and lots of colors
Andrew D. Hwang
3 days ago

Q: Are those circles on the torus parallels, or meridians?

A: Yes.

#mathematics #mathart

An animation loop showing 60 gold meridians on a torus that rotates in the three-sphere and is projected to Euclidean three-space by stereographic projection. The torus traverses a family of cyclides of Dupin; after a quarter-turn in four-space, the torus has become circular again, but the curves are now parallels.
Andrew D. Hwang
5 days ago

The conformal parametrizations
\[
\operatorname{cat}(u, v) = (\cosh u \cos v, \cosh u \sin v, u)
\]
of a catenoid and
\[
\operatorname{hel}(u, v) = (\sinh u \cos v, -\sinh u \sin v, v)
\]
of a helicoid are well-known to be not just locally isometric, but deformable through a one-parameter family of minimal surfaces
\[
\mathbf{x}_{\theta}(u, v) = \cos\theta \operatorname{cat}(u, v) + \sin\theta \operatorname{hel}(u, v).
\]
The animation loop is a stereogram following one turn (\(-\pi \leq v \leq \pi\)) of the helicoid. It may be easiest to cross your eyes to fuse the initial stereogram of two catenoids, then hover the mouse to start the animation loop.

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The 2023 holiday sale at the Differential Geometry math art shop runs through Sunday, December 3, at 11:59 PM eastern time. Visit through the link https://diffgeom.com/discount/maths23 or use the code maths23 at checkout to get 20% off garments and wall art.

#mathematics #mathart

An animation loop of a surface mesh stereogram of the catenoid-helicoid deformation.
Delajor🍞
5 days ago

This is doing something.

Trying separate the growth axis. The reaction diffusion pushes in the normal direction and I increase edge length in the transverse direction.

I'm weighting the growth using the principle directions of curvature that I get from local quadric fitting. It works OK.

#mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

Its a 3D bunny, stripes and spots start growing on it.  OH NO!  The bunny starts bursting out like a really really bad fungal infection!  I'm sorry bunny!
Andrew D. Hwang
6 days ago

There's a new blog post about compound circular motion at the Differential Geometry math art shop. The intended readership includes adults who have not seen trigonometry in a long time, students of calculus, and anyone who enjoys rotational symmetry.

https://diffgeom.com/blogs/about-math/epicycles-compound-circular-motion

#mathematics #mathart

"Nebulabrot" of the mandelbrot set + burning ship + IFS hybrid

#fractal #mastoart #mathart #creativecoding #rainbow #generativeart #noise #ghost #space

Andrew D. Hwang
6 days ago

The image below depicts the Riemann surface of arcsine, a.k.a., the complex graph \(w = \sin z\) viewed "as a function of \(w\)." Accordingly, \(w\) is the horizontal plane; the real axis of \(z\) is vertical and the imaginary axis of \(z\) is projected away.

https://diffgeom.com/products/riemann-surface-of-arcsine-wall-art-poster

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The blog at the Differential Geometry math art shop aims to explain images and objects we sell, for readers of all ages who have perhaps seen Cartesian plane coordinates and functions, but whose comfort zone may not include these topics. Alec Wilkinson's "A Divine Language" provides continual guidance and inspiration.

https://us.macmillan.com/books/9781250168580/adivinelanguage

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There is a more advanced blog post about Riemann surfaces, treating the square root in detail, aimed at undergraduate students who have seen vectors and parametric surfaces:

https://diffgeom.com/blogs/about-math/square-roots-with-a-complex-twist

#mathematics #mathart

A blue-and-gold periodic surface against a dark purple background, made of two intertwining helicoid-like halves that meet in the middle along the real sine graph as a bright green curve. Mathematically, the surface comprises an infinite sequence of sheets, each a branch of arcsine on the complex plane with two slits. The interval [-1, 1] traces a half-arch of the real cosine running vertically. Each sheet is cross-attached to its downward neighbor along the one slit and cross-attached to its upward neighbor along the other slit.
John Golden
1 week ago

A little #mathart in geogebra https://www.tumblr.com/mathhombre/735363718809092096/schleifer-turning?source=share after a new-to-me artist, Fritz Schleifer.

n-gons
1 week ago

Irregular hexagons #Tiling #MathArt #MathsArt

Abstract mathematical art. Honecomb structure from smaller irregular honeycomb shapes in magma colour scheme
Fractal Kitty
1 week ago

my mathober piece - exchange - is featured in this weeks codepen spark!

https://codepen.io/fractalkitty/full/jOdqPRv

#mathart #mathober2023 #creativeCoding

Gwen Fisher
1 week ago

Happy Color Wheel Wednesday!
Here’s what you get when you use two similar magentas, two similar blues, and two similar yellows in every m-b-y combination. You get 8 similar color wheels. It surprised me when I painted them, but now it seems pretty obvious. It just goes to show that if you don’t have exactly the right color to match what you’re doing, close might be close enough.

#color #watercolor #mathart #venndiagram

8 similar color wheels using quinacridone rose PV19, Phthalo blue PB15:3, yellow ochre PY43, nickel azo yellow PY150, Prussian blue PB29, and permanent alizarin crimson PR206. Each wheel is like a Venn diagram with m-b-y in the intersections, 2 greens, 2 oranges, 2 violets and black or dark gray in the center. Towards the top left the colors are a little brighter. Towards the bottom right, they’re a bit duller. Everything is labeled with pigment numbers.
Andrew D. Hwang
1 week ago

For mathematicians: Put three equally-spaced loxodrome bands on a globe, and rotate the globe about its axis. Now conjugate this loop of isometries by a Möbius transformation that moves the poles to a pair of non-antipodal points.

For non-mathematicians: Think of a sphere dancing with boas.

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One challenge of communicating mathematics to non-technical readers is the precise, recursive compression inherent in, for example, the first paragraph; the webs of concepts, connections, and idioms that must be carefully unpacked to make contact with non-experts' language and experience.

A complementary vexation is the superficial imprecision of even a vivid qualitative description.

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An image at the Differential Geometry math art shop starts with a mathematical idea, usually one that people struggle to learn in technical detail, such as uniform convergence, Möbius transformations, group actions, quotient topology, or Riemann surfaces. One aim is to capture a mathematical portrait that is immediate and visually-appealing, inviting the interested viewer to learn more, yet honest (as far as it goes) so that further study only reinforces the piece.

https://diffgeom.com/products/mobius-flow-pond-wall-art-poster

#mathematics #MathArt

Three flowing spiral bands on the Riemann sphere joining points near the north and south poles, on a dark green background. Initially, two bands are calligraphically S-shaped, in gold and green, and nearly fill the front of the sphere. The third band is lighter green and wraps around the back of the sphere like a dancer's boa, where it visibly separates into individual curves. In this animation loop, the bands abstractly rotate along the sphere, unwinding near the south pole and winding near the north.
Andrew D. Hwang
1 week ago

... and an animation loop where the values of the fields rotate counterclockwise through a full turn.

#mathematics #mathart

Fractal Kitty
1 week ago

medium post (no paywall) with poem for dichotomies painting: https://medium.com/p/5c403a18bf31 #haiku #mathart

Andrew D. Hwang
1 week ago

A plane vector field assigns a vector to each point of a plane region. Near an isolated zero, a vector field is characterized qualitatively by an integer, the index, which counts how many times the value rotates upon tracing a small circle about the zero.

The formula \(e^{i\theta} = \cos\theta + i\sin\theta\) gives a pleasant explanation of the shapes in the poster. If \(k\) is an integer and \(r\) a positive real number, the field whose value is \(re^{ikt}\) at the unit complex number \(e^{it}\) models a field of index \(k\) along the unit circle. The tips of the arrows are the vector sum,
\[
e^{it} + re^{ikt} = e^{it}(1 + re^{i(k-1)t}),
\]
a path having \(|k - 1|\)-fold rotational symmetry about the origin.

https://diffgeom.com/products/topological-index-wall-art-poster

#mathematics #MathArt

A 2 by 4 array of green circles and gold arrows on a black background, illustrating vector fields whose absolute index is between 1 and 4.

⚠️ It's #TilingTuesday everyone(yes that's a thing now)
🌐 Here's the Globe™️

#tiling #mastoart #mathart #blackandwhite #stars #owo #mandala #限界曼荼羅

✨20.5.4✨
Andrew D. Hwang
1 week ago

A conformally-parametrized cyclide of Dupin.

Our holiday sale at the Differential Geometry math art shop continues one more week! Use the code maths23 at checkout to get 20% off all garments and wall art through December 3, 2023.

https://diffgeom.com/products/cyclide-black-wall-art-poster

#mathematics #MathArt

A conformally-parametrized toroidal black surface mesh against a white background, specifically a cyclide of Dupin standing on end, seen obliquely and with the back portion of the surface having larger-diameter cross section than the front.
Andrew D. Hwang
1 week ago

This curve, incidentally, is a projection to real three-space of the image of the unit circle under the twisted cubic mapping into complex three-space. If \(t\) is real and \(z = e^{it}\), then
\[
(z, z^{2}, z^{3})
= (e^{it}, e^{2it}, e^{3it})
\simeq (\cos t, \sin t, \cos 2t, \sin 2t, \cos 3t, \sin 3t).
\]
This particular curve is the projection to the second, third, and sixth coordinates:
\[
\gamma(t) = (\sin t, \cos 2t, \sin 3t).
\]

#mathematics #MathArt

Fractal Kitty
1 week ago

Done! A painting without orientation (hang it as you wish).

My process:
-feel the feelings
-start painting
-watch the feelings unfold
-contemplate when to be done
-sign it ( this time in 2 places)

Will post poem on medium later. (Acrylic 15x30x1in on canvas)

#acrylicpainting #trees #mathart #dichotomy #polar #growth

A painting with three circles in a diagonal with one side weighted blue and the other weighted orange. The center circle a spiral of blue and orange/red with opposite colored trees growing towards echoey along the diagonal. Cracks of orange radiate from the orange circle. Cracks of blue from the blue circle. The background is also weighted with bubbly cloud-like texture. The leafs in the center come about a white moon. Spatter and texture throughout.
Andrew D. Hwang
1 week ago

By way of justification:

#mathematics #MathArt #3dprinting

Three photographs of a 3D printed rhodium-plated brass space curve suspended from a nylon thread against a background of unfocused foliage. One plane projection is a figure 8, and another is similar but with three lobes instead of two.
Andrew D. Hwang
1 week ago

Dear Flatlander,

Behold the shadow of a revolving rigid Spaceland object.

#mathematics #MathArt

Animation loop of a purple closed curve on a white background. Initially the curve is a figure 8 whose two lobes are rotating about an axis lying in the plane of the screen. After a time the curve has three lobes instead of two.
Andrew D. Hwang
1 week ago

The Riemann surface of \(\log\) may be viewed as the graph of \(\exp\) together with projection to the image plane, i.e., as the set of points \((z, w) = (z, \exp z)\) over the \(w\)-plane. An oblique projection, qualitatively taking the third coordinate to be the sum of the real and imaginary parts of \(z\), captures both logarithmic behavior as \(|w| \to 0\) and the infinite-sheeting covering as \(w\) traverses a circle about the origin.

Use the code maths23 at checkout to get 20% off all garments and wall art through December 3, 2023.

https://diffgeom.com/products/riemann-surface-of-log-wall-art-poster

#mathematics #MathArt

Four turns of a spiraling surface, shaded orange-gold toward the left outside and right inside, and shaded blue toward the right outside and left inside, against a black background. The surface is swept by the graph z = ln x as we simultaneously revolve the graph about the z-axis while translating along the z-axis.
Fractal Kitty
1 week ago

Drying and in poor lighting, but obviously requires two signatures because it has no orientation. Will seal and post better pics tomorrow.

Anyone else have tree and circle obsessions?

Acrylic, 15x30in

#mathart

Acrylic painting with landscape orientation with three circles the one on the lower left is blue, the one in the middle is a spiral of reds and blues with to trees growing towards the center moon, and the third circle in the upper right is red and orange. There are circles of texture throughout with veins of color reacheing from the two smaller circles on the side giving the feeling of dichotomies. Iridescent ink catches the light.
Same painting with the blue circle on the bottom left and now in portrait orientation
Same painting with the red/orange circle on the bottom left and now in portrait orientation
Same painting in flipped landscape orientation.

Messing around with (r = cos(θ*A/B)) "roses" & fractals
Mostly just mildly disappointing results so far 😑

#fractal #mastoart #math #mathart #creativecoding #rainbow

Andrew D. Hwang
2 weeks ago

Each element of the Cantor set may be viewed uniquely as a ternary number none of whose digits are \(1\), i.e., as a path through an infinite dyadic tree whose alternatives are \(0\) and \(2\) (base \(3\)), or algebraically as an expression
\[
\sum_{k=1}^{\infty} \frac{x_{k}}{3^{k}},\qquad
\text{\(x_{k} = 0\) or \(2\).}
\]

Each element of the unit interval may similarly (but perhaps non-uniquely) be viewed as a binary number, i.e., as a path through an infinite dyadic tree whose alternatives are \(0\) and \(1\) (base \(2\)), or algebraically as an expression
\[
\sum_{k=1}^{\infty} \frac{y_{k}}{2^{k}},\qquad
\text{\(y_{k} = 0\) or \(1\).}
\]

The map sending "Cantor set paths" to "unit interval paths" (or, "halve each ternary digit and interpret as binary") is onto, and two points of the Cantor set are sent to the same point if and only if they are "adjacent in the Cantor set," i.e., endpoints of a "removed middle third." This mapping consequently has a continuous, non-decreasing extension to the interval \([0, 1]\) that is constant on each interval complementary to the Cantor set.

Use the code maths23 at checkout to get 20% off all garments and wall art through December 3, 2023.

https://diffgeom.com/products/cantors-staircase-wall-art-poster

#mathematics #MathArt

The light green 0-and-2 base-3 tree with root at the bottom, with ascending branches, indexes elements of the Cantor ternary set. The blue-green 0-and-1 base-2 tree with root at the left, with rightward branches, indexes elements of the unit interval. There is a unique continuous, non-decreasing function, the jagged purple graph, that maps the Cantor set onto [0, 1] and is constant on each interval disjoint from the Cantor set.
n-gons
2 weeks ago

Symmetric tiling with stars #Geometry #MathArt #MathsArt #Tiling #Pattern

Abstract mathematical art. Horizontal and vertical symmetry.  There are 4-stars and 8 stars. In retro colours.
Ele Willoughby, PhD
2 weeks ago

My nautilus with golden rectangle print for Fibonacci Day. November 23 if written in MM/DD format recalls the #mathematician Leonardo Bonaccio of Pisa (c. 1170 - c. 1240 or 50) aka Fibonacci’s sequence (1,1,2,3…) where each number is the sum of the previous two. He used it to describe rabbit populations, but the sequence is commonly observed in nature, 🧵1/2

#linocut #printmaking #mathematics #mathart #sciart #nautilus #GoldenRatio #Fibonacci #fibonacciday2023 #FibonacciDay #MastoArt

My linocut print of a nautilus in a mix of purple and gold on speckled beige washi paper, overprinted with the golden rectangle over the spiral of the nautilus shell, in indigo ink.
n-gons
2 weeks ago
Abstract Mathematical Art. Boxes forming a diamond shape over a rainbow background.
John Golden
2 weeks ago
Delajor🍞
2 weeks ago

I've always been curious about the growth model @nervous_jesse developed so I thought I'd explore it a bit. Here is the model but with expansion governed by grey-scott reaction diffusion.

#mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

Its a 3D bunny.  The bunny starts with spots but they quickly turn into stripes and the bunny starts growing.  Eventually the bunny resembles a coral reef.  I'm sorry bunny.
Fractal Kitty
2 weeks ago

made a generative knitting pattern toy to contemplate some crafting - please share if you find some cool ones or knit it up!

https://codepen.io/fractalkitty/full/MWLVqqM

#mathart #generativeArt #creativeCoding #knitting #patterns #p5js

Fractal Kitty
2 weeks ago

made a generative knitting pattern toy to contemplate some crafting - please share if you find some cool ones or knit it up!

https://codepen.io/fractalkitty/full/MWLVqqM

#mathart #generativeArt #creativeCoding #knitting #patterns #p5js

knitting pattern with reflections with 3 shades of green grid is 32x32
knitting pattern with reflections and columns of patterns with 2 shades of pink/purple and one blue grid is 48x48
knitting pattern with repetitions and reflections with 3 shades of blue 32x32 grid
knitting pattern almost looks like sideways cants on a line with 3 shades of blue on a 64x64 grid
n-gons
2 weeks ago

Tiling tuesday, it should be a thing. #MathArt #MathsArt #Geometry #TilingTuesday

Abstract mathematica art - connected rhombic tilings in yellow blue colours
George Savva
2 weeks ago

Here's another output from the summer's abandoned project. I didn't have any real direction with these except I wanted to do something with colour and texture. Now I have a big set of images like this that I don't know what to do with!

Would they work as prints? They look maybe more like postcards to me.

#art #rtistry #mathart #abstractart

A swirling mathematical image in muted red, blue, yellow and purple.
Adam P
2 weeks ago
A black and white fractal made of bubbles.
A black and white spiral made of bubbles.
A black and white fractal made of bubbles.
Deep zoom into a black and white fractal made of bubbles.
Andrew D. Hwang
3 weeks ago

Some people like the Riemann sphere, stereographic projection, Möbius transformations, and holomorphic vector fields. Go figure....

#mathematics #mathart

An animation loop with black background showing the unit sphere as a gold circle, three symmetrically-placed bands of loxodromes in purple, blue, and green, and the images in the equatorial plane of these spiral curves under stereographic projection from the top center point of the sphere as the sphere revolves about an axis lying in the equatorial plane.
n-gons
3 weeks ago

Wheel of darts #Geometry #MathsArt #MathArt #Tiling Made using @zellige

Andrew D. Hwang
3 weeks ago

Hello #mathematics #mathart #introductions

Labels over-simplify and distort. That said:

By current profession I'm a freelance mathematician who creates (non-generatively) and sells (without surveillance capitalism to the extent possible) mathematical images and objects. Other labels include author and blogger, mathematical illustrator, digitizer for Project Gutenberg, hobbyist coder, former math professor, and deeply concerned human citizen.

Regarding mathematical art, my primary inspiration is form (shape), accessible without technical training but an open invitation to deeper encounter with mathematics.

My aspirations include sharing and promoting the beauty of shape and structure for pure contemplative enjoyment, and helping to cultivate public understanding of math as a participatory, inclusive, wonder-filled activity.

Psychedelic Space Cat. Wall Art Prints & more: https://matthias-hauser.pixels.com/featured/colorful-psychedelic-cosmos-cat-01-matthias-hauser.html 💜 🧡
This whimsical artwork is an enchanting depiction of a cat, whose vibrant, multicolored fur is a psychedelic tapestry that merges with the surreal cosmic environment it inhabits. #cat #cats #catsofmastodon #animal #animals #colorful #surreal #psychedelic #art #mastoart #fediart #mathart #wallart #ShopEarly #Fedigiftshop #AYearForArt #BuyIntoArt #ArtMatters

Colorful Cat Portrait in Space, psychedelic surreal style.
n-gons
3 weeks ago

Recursive hexagons from right triangles. #MathArt #MathsArt #Geometry #Hexagon #Triangle #Rainbow #Art #Mastoart

Abstract mathematical art, tiling of right triangles that fills a hexagon.

Cosmic Eye 01, Colorful Universe. Wall Art Prints & more: https://matthias-hauser.pixels.com/featured/cosmic-eye-01-colorful-universe-matthias-hauser.html 🧡 💙
This surreal and vibrant artwork is a cosmic voyage through the eye, the window to the soul, set against a backdrop of swirling galaxies and nebulous star fields. #eye #universe #galaxy #space #psychedelic #surreal #colorful #art #mastoart #fediart #mathart #wallart #ShopEarly #Fedigiftshop #AYearForArt #BuyIntoArt #ArtMatters

Colorful cosmic eye, the Universe is watching you.
Gwen Fisher
3 weeks ago

Doodling with Jessica is a lot of fun. She wanted to make it monochromatic. So we compromised and left out red and purple.

This illustrates a way to make a #Voronoi diagram. Start with nodes (points). Connect them to their neighbors with edges (line segments). Find the midpoint of each edge, and paint a blob of color around each node up to the midpoints on the edges that touch that node. Very meditative.

#Watercolor, black ink, cotton paper
#mathart #network #doodle #algorithmicart #algorithm

Drawing of a complex network with nodes and edges to make a Voronoi diagram with artistic liberty. Some of the nodes are circles. Some parts of the network are cycles and some parts are trees. Almost every node has a halo of color painted around it to mostly fill the space in its neighborhood. The overall effect is like a mountain with a large orb on top. Plants grow up on the left. A spider hangs down on the right. Everything is connected.
Gwen Fisher
3 weeks ago

Sometimes I weave seed beads into geometric structures that I find in math books. #math #mathart #beads #BorromeanRings #topology #geometry

“Beaded Borromean Links by Gwen Fisher”
Two photos of each of three different beaded objects: Borromean links. They differ in colors and shapes of the links. One uses eye-shaped links. One uses hexagonal links, and the third uses rectangular links.
n-gons
3 weeks ago

Flowery tiling of kites of varying sizes. #tiling #mathart #mathsart #geometry #fractal

Abstract mathematical art. A few iterations of a fractal tiling of kit shapes. There're nested pentagonal stars in its centre, and the outer rim is broccoli like.
Delajor🍞
3 weeks ago

I was unsatisfied with how handles were resolving, and I found a solution using quadrics... but then I happened upon another implicit form which is even better,The Darboux Cyclide. The Darboux Cyclide is like a super torus...

I have quite a bit more to learn, but it turns out least squared fitting of the Cyclide worked very similarly to fitting a quadric!

#mathart #GenerativeArt #GenArt #algoart #algorithmicart #sculpture #algorithmicsculpture #SciArt

Its a 3D bunny... well sort of.  Its a holy shape with lots of curves moving along it that form kind of a labyrinthine pattern of holes and tunnels... vaguely in the shape of a bunny.
bbqshoes
3 weeks ago

Where heaven and earth meet #MathArtMonday #mandelbrot #MondayArt #mathart

Non-Euclidean Dreamer
3 weeks ago

Simulated in time steps of 4h, I only used used 1 frame every 1325 steps, at 10fps that is about 6 earth years passing per second. The planet's orbit seems rather stable, but it changes parameters at each breath in of the twin suns.

#codeart #physics #mathart #temperature #gravity

Two yellow twin stars orbiting each other elliptically, a blue dwarf star balanced in their middle. A planet orbits one of the twin stars, we see its heat chart, mostly agreeable, but it starts to shift a bit, so that the perhelion gets uncomfortably hot in low latitudes.
John Golden
3 weeks ago
n-gons
4 weeks ago

A starry square from 4 copies of a right triangle with fractal corners. #Square #Fractal #Triangle #Geometry #Tiling #Mathart

Abstract mathematical art. A square with an angular pattern in rainbow colours.
n-gons
1 month ago

A wild new shape appeared, I call it a sqrt(2) ball, maybe it has a better name. It has square, triangular and rhombic faces. I built it with prisms and rhombohedra with sqrt(2) rhombuses, as well as square pyramids, tetrahedra, and regular triangular prisms. All with the recently updated @hedron app #Polyhedron #MathArt #Geometry #Hedron

Animation of polyhedra forming a ball