Lmst

With the complete rebuild of my online shop, a lot has improved. Particularly, I'm now able to ship much more widely, and at lower prices.

I invite you to visit today! The discount code DG-Math, for 15% off clothing, wall prints, and housewares, is active through Sunday, June 1.

https://www.diffgeom.com/shop

#Math #MathArt

The design "Pulse," an oscillatory function of two variables graphed as closely-spaced white slices on a black T-shirt.

Projecting the Standard 6D Lattice to 3d by projecting 5 Dimensions to 2D Penrose-style and just leaving the last.

#penrose #mathart

🤔☯🕛🕐🕑🕒🕓🕔🕕🕖🕗🕘🕙🕚☯🤔
20.5.4 + sus ⭐

#TilingTuesday #hmmm #geometry #mathart #tiling #mastoart #abstract

Street paving, Marrakesh, Morocco
#TilingTuesday #Tiling #IslamicPattern #Pattern #Geometry #MathArt #MathsArt #photography

A top-down photograph of grey rectangular street paving. Each paver has a 12-pointed star in the centre surrounded by kites and different kinds of pentagons.
The pavers are grimy and worn from use over time. Two of the pavers are broken: brown earth and metal pins are visible.

#Tiling with #Heptagons for #TilingTuesday

#MathArt #Geometry #Knot

Abstract Mathematical Art. Tiling pattern in red, yellow and teal with white knotwork over gradient background.

Cellular automata follow a deterministic approach. What if we roll dice with a cellular automaton ?

Some new experiments with cellular automata and probability are now available.

https://medium.com/@jsamwrites/when-three-points-meet-probability-natural-phenomena-in-cellular-automaton-patterns-47757c646970

#CellularAutomata #GenerativeArt #DataVisualization #GenArt #DigitalArt #colors #probability #mathart

This is literally the dark side of the Penrose Tiling.

So you know the Penrose Tiling is a 2D-Projection of a 5-dimensional grid?

This is the Projection to the other 3 Dimensions.

#penrose #codeart #mathart #mastoart

|exp(τ) + c> + |log(τ) + c> (r=4)= 🤍

#3d #buddhabrot #fractal #heart #mathart #abstract #mastoart #creativecoding #animation

Wish you all a nice #KaleidoSaturday!

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

8-fold mandala with softly structured bright blue and pinkish red colors.

Flock of birds, inspired by the art of Escher. I think this will be my last artwork in this series.
#mathart #geometry #tiling #octagonal #escher

Drawing of birds radiating from the center, octagonal symmetry. Birds are whitish and blackish, over a light cyan background.

#fraktaler #fraktaler3 v3 final is still not released after almost a year... trying to squash final #bugs in the coming weeks, so now would be a good time to check the #beta to find problems, so I can #fix them...

known bugs that have been fixed already but not yet released include:

- negate Y option has bad reference leading to glitches / fantasy fractals

- floatexp opencl coordinate glitch (looks like horizontal stripes of the image repeated vertically) with deep zooms on GPU

- newton zoom dialog has been improved

- some other small things

links to beta downloads for Windows (EXE), Android (APK), Linux (compile from source), Web (try in browser) via https://mathr.co.uk/web/fraktaler.html#Version-3-Beta

#MandelbrotSet #BurningShip #fractals #MathArt #DeepZoom

This one uses somewhat the "inverse" tile of previous piece https://mathstodon.xyz/@DaniLaura/114557815147525419 .
#mathart #geometry #tiling #octagonal

Tiling resembling a plant rosette, with octagonal symmetry.

Another one more elaborate, with these colours it resembles fire. With other colours could be birds joining into the center.
#mathart #geometry #tiling #octagonal

Drawing using curved concave tiles which insert into each other, octagonal symmetry. Colours from yellow to red, resembling fire.

wol 🔱

#fractal #animation #abstract #art #mathart #blackandwhite

I have been having fun trying other tiles using scaling r = √(1+1/√2) with octagonal arrangement (see previous post
https://mathstodon.xyz/@DaniLaura/114551594417412855 ).
Using the curved tile we can see in the pictures, the complete arrangement is rather boring (image 1), but subsets of it, when properly coloured, can produce several kinds of flowers, even with bees! (image 2), an ibex head (image 3), or just using the borders a web of a math spider (image 4).
#mathart #geometry #Mathematics #tiling #octagonal

Octagonal tiling with curved and pointed tiles, decreasing in size towards the center, yellow and violet colours.

Two flowers using the same curved tile, the first is similar to lavender (purple petals), the second with many reddish petals and a bee on top.

Same tiling depicting an ibex head, brown colors.

Same tiling depicting a math spider web.

More artistic drawings based on the previous patterns. The second is very simple but I like it, it was done by just stacking circles.
#mathart #geometry #octogonal

Geometric drawing of purple circles making double spirals in a square grid pattern.

Circles growing from the center looking like a flower, purple with yellow stamen, octagonal symmetry.

I think I have found a novel tiling using hexagons, with octagonal symmetry, infinite inwards and outwards (at least I couldn't find it on-line). The hexagons are scaled with the ratio r = √(1+1/√2). See the measures of the hexagon in the second image (𝛕 = 2π). The hexagon can be cut in 6 similar triangles, which are 1/8 of a regular octagon. If the hexagons of the first tiling are decomposed into those triangles we get the the third image. And if some of those triangles are recombined into bigger ones, we get the fourth.
#geometry #Mathematics #tiling #hexagon #octogonal #infinity #mathart

A tiling using similar non-regular hexagons, scaled inwards and outwards, with octagonal symmetry. Colours blue, violet and pink.

Measures of the hexagon, given r = √(1+1/√2). Considering the smallest side as length 1, it has three noncontiguous sides of length r squared, and two sides of length r cubed. The two angles near the smallest side are 6/16 𝛕 and the rest are 5/16 𝛕 (𝛕 = 2π). The three bigger diagonals intersect at the same point, and cut the hexagon in 6 similar triangles (which are 1/8 of an octagon).

Same tiling but decomposing the hexagons into six similar triangles.

Same as before but some triangles are joint into bigger triangles, giving a spine figure.

I'm delighted to announce the new version of Differential Geometry, my math blog and online shop, and warmly invite you to visit https://www.diffgeom.com to see all that's new!

As a special thank-you for your interest and support, please use the discount code DG-Math through Sunday, June 1, for 15% off clothing and wall decor.

#Math #MathArt

Rotating the 3d Projection Space within the 10d Lattice to morph from a Tetrahedral Crystal to a Dodecahedral Quasicrystal.

#creativecoding #mathart

A crystally object for #TilingTuesday

All pentagons are glued to a friend, all triangles face outwards.

#3D #Geometry #MathArt #MathsArt

#mathart

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