Lmst

Parquet flooring, Catholic Church of St. Edmund, Bungay, England
A detailed architectural guide is at https://waveneyvalleycatholics.church/guide/

#TilingTuesday #church #geometry #tiling #MathArt #photography #architecture #history

Top-down photo of wooden flooring. Most of the picture has dark brown crosses and light brown eight-pointed stars. The bottom right has light brown elongated hexagons and dark brown squares. A blueish light comes from the bottom right.
The eight-pointed stars are not like the common octagrams of two overlapping squares of equal size. Instead, the vertices are on a square grid, presumably to simplify the production of the wooden tiles.

A star knot for #TilingTuesday

A dodecagon ring can be made from squares and triangles. There are three nice way to connect decagon rings to hexagons - each with a small star inside. If you connect the rings into a larger hexagon you start seeing a koch snowflake. This snowflake can also be tiled with squares and triangles, joining select shapes you can make a nice knot.

#knot #geometry #fractal #tiling #mathart

Abstract mathematical art. Knot in a snowflake.

Abstract mathematical art, building a snowflake from dodecagon rings.

Abstract mathematical art. Threee ways to connect 6 dodecagon rings. Each of them has a star in the centre.

#Monday #MathArt #MandelbrotSet #Motivation

nebula-like curtains and gnarled spirals in faded purples, yellows, and reds

So I tried making an actual 3d renderer 4 ðese buddhabulbs 😳

#fractal #creativecoding #3d #mathart #abstract #space #cursedcoding

Koch revisited! Another non-regular fractal produced with the idea of the previous post https://mathstodon.xyz/@DaniLaura/114715501148741420 (and no randomness), see first figure. Each triangle generated from a side also depends on the sizes of the current neighbour sides, not just from the side size. Two opposite triangles are generated from each side, the internal one being invisible (but its offspring do not inherit this trait). In the second figure a regular variation where triangles are put off-centre. Here the initial triangle is not drawn as well.
#fractal #mathart #algorithmicArt #AbstractArt #geometry

$Non-regular fractal made of triangles in purple, orange and yellow shades, over black background.$

Fractal made of triangles in shades of blue, over black background.

Two centuries ago (1825 and 1827), Gauss published two papers on intrinsic curvature of surfaces. In 2011, using page scans and OCR text generously provided by Brenda Lewis at Distributed Proofreaders, I digitized the English translation by Hiltebeitel and Morehead for Project Gutenberg.

This Very Short blog post introduces the geometric context (extrinsic and intrinsic curvature of surfaces) for non-mathematicians: https://www.diffgeom.com/blogs/free-online-math-materials/general-investigations-of-curved-surfaces/

#Math #MathArt #ProjectGutenberg

A sphere with three great circles delimiting a spherical triangle edged in blue, with regions shaded by a mesh of brick red, gold, and green lines, allowing the back of the sphere to show through.

:) #mathart

https://www.patreon.com/jcponce

:) #mathart

https://www.patreon.com/jcponce

:) #mathart

https://www.patreon.com/jcponce

Sort of $f(z)=\frac{(z^2-1)(z-2-i)^2}{z^2+2+2i}$

Shadertoy: https://www.shadertoy.com/view/wcyGRw

#Animation #Math #Mathematics #Mathart #Complex #ComplexAnalysis #ComplexPlane #GLSL #Shadertoy

... and the same with Octarose!

#mathart

3d julia set hybrids looking 🌀🌌

#fractal #3d #creativecoding #IFS #abstract #animation #mathart #space #art #nuclearfusion #FractalFriday

2/2
Artistic renderings of the previous fractal, drawing solid coloured rectangles instead of lines. Titles "Reach out" and "All equal, all different". They are the result of five transformation turns (29524 transformations). Some rectangles are so tiny they cannot be seen at this resolution, see zoom of first picture in the second one.
Third one is the result starting with a rectangle of another proportions (and using other set of colours).
#mathart #FractalFriday #fractal #algorithmicArt #NotAI

Fractal made with rectangles of colours purple, magenta, cyan, red and yellow, over black background. Reminiscence of an odd cross.

$Zoom into the right side of previous fractal.$

Fractal made with rectangles of colours purple, white, orange, cyan, yellow and dark purple, over black background.

1/2
This iterative fractal I programmed is peculiar, it evolves sequentially instead of in parallel. This, added to the fact that the transformation of each segment depends on the size of its neighbours, makes the result more chaotic. Starting from a rectangle of a given proportion, each segment is sequentially transformed into nine connected segments, as per second figure. The procedure proceeds with the next old segment, and when a complete turn is made another turn is started traversing the new segments created in the previous turn. The first picture shows the result after four turns (3280 trasformations). Note how some rectangles produced at this stage are really tiny, compared with others produced in the same pass. Last picture shows the same fractal but drawing filled rectangles instead of lines, with just two transformation turns (when the rectangles overlap the intersection flips colours).
#FractalFriday #fractal #Mathematics #mathart

$Non-regular fractal made with orthogonal outlined rectangles, white lines over black background.$

Diagram showing how a segment is transformed into nine connected segments, depending on its size and the sizes of its neighbours.

$Non-regular fractal made with orthogonal filled rectangles, less divisions than before, white over black background.$

Our new video!

In most of our videos, we have been playing with the non-Euclidean spaces. However, we have not played with the time dimension in them so far. In this video, we will combine spherical and hyperbolic geometry with relativistic effects.

#RogueViz #RelativeHell #mathart #NonEuclideanGeometry #RelativitySpace

https://youtu.be/PxnoSsjMrck

🎨🤓 Ah, the gentle art of turning math into paint! This is a delightful tale of one person's quest to understand the sorcery of raymarching—because who needs actual geometry when you can just throw formulas at a screen and hope for the best? 💻✨
https://blog.maximeheckel.com/posts/painting-with-math-a-gentle-study-of-raymarching/ #mathart #raymarching #creativecoding #digitalart #experimentation #HackerNews #ngated

Painting with Math: A Gentle Study of Raymarching

https://blog.maximeheckel.com/posts/painting-with-math-a-gentle-study-of-raymarching/

#HackerNews #Painting #with #Math #Raymarching #DigitalArt #MathArt

#Math #MathArt

A red 3-D heart shape against a virtual twilit sky with the text:
"And in the end, the love you take is
(a) equal to;
(b) proportional to;
(c) a monotonic function of;
(d) a continuous function of;
(e) a measurable function of;
(f) not a function of;
the love you make."

Waves

Mandelbrot set deep zoom, exponential mapped.

Coordinates:

X: -0.744033259370087676792393294794996170098405423509202858828018362736359875611067024815030266340822148798854892606120087675414719308558729395069156295109834022154773268883686027121547045665771055311191726579865822306139890000890097414112909

Y: 0.0989840577772712209111477244548225883613965629986649162521468688648576786679506467154805553017452566026633195562560300596030280994526284287528746237588901097460901908918502319067407247982314031469949142811884466432684555658875305586357918

Size: 8e-201

#Mandelbrot #Fractal #Mathart #Art

$Detailed fractal art, which looks like a bunch of stripe patterns with different shades of white and blue.$

Someone in a workshop asked how many patterns are possible to make with our Hitomezashi Sashiko Pattern Generator.

I think it's 2^(warp+weft), so... a comically huge number of possibilities.

By limiting the pattern to 4x4, I see 256 unique patterns.

Our app has 28 rows and cols available, so 2^56, about 72 quadrillion. Animating through every option at 60 frames per second, it would take 38 million years to see them all.

https://www.forresto.com/sashiko

#sashiko #craft #CuttleXYZ #mathArt

#Mathart

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