#math in art

[yarn-over]

while i was randomly searching stuff on pinterest i saw some mathematical paper craft shemes and now i cant stop thinking about trying them with african flower motifs *_* Will they look cool or cute or not good at all.... pictures with all colorful shapes looks so attractive to me right now x’D they will look good on children rooms too although i just want to try crocheting them not to keep it for myself.

images from here<

i already tried last two while i was crocheting balls to sale they were okay *.*

[mathblab]

The fourth dimension had become a household word by 1910. . . the answer to all the problems puzzling contemporary science, the fourth dimension could be all things to all people.

Linda Dalrymple Henderson, Art Historian and author of The Fourth Dimension and Non-Euclidean Geometry in Modern Art 

[art-of-mathematics]

WIP of my The hidden order of chaos

Superposed semi-entangled amplifying waves

[stevium]

[idran]

M.C. Escher is a great example of math in art; though he had no head for the details of math, he had a great visual intuition for a number of mathematical concepts, and he loved to use his art in order to represent them in a clean and simple manner.  He had a special love for tessellations: a shape or set of shapes that can be tiled infinitely to cover a plane.  This tessellation of his in particular — Circle Limit III — demonstrates very simply an example of non-Euclidean geometry; specifically, he drew this tessellation as if it was in the hyperbolic plane rather than the traditional one.  Notice how they get more scrunched together as they get closer to the edge, this represents that the hyperbolic plane contains infinite area within a finite bound.  Here, the swooping white lines down the centers of the tiles are (essentially, though not quite) the equivalent of straight lines in the hyperbolic plane.

Hyperbolic geometry is one of two major non-Euclidean forms of geometry.  (There's Euclid again!)  In normal Euclidean geometry, if you have a line and a point, there's exactly one new line through that point parallel to the first.  This is also called "flat curvature".  In spherical geometry, there are no parallel lines through that point; we also call that "positive curvature".  While here, in hyperbolic geometry, there are an infinite number of parallel lines through the point, and we call this "negative curvature".

We can also notice an interesting fact about triangles in the hyperbolic plane through this art. Of course, in the normal plane, all triangles without question have a total interior angle sum of 180°. Here, though, triangles have a total interior angle sum of ≤180°; closer to the center, it's closer to "straight", while closer to the edges the triangles are more skewed. Similarly, in the spherical plane, triangles have a total interior angle sum of ≥180°

This all ties into Euclid's Parallel Postulate, which I'll cover in a later post, along with covering both these variants of geometry in more detail.

[vortexstreet]

Alfred Jensen, Emission Spectrum, 1975, Oil on canvas, 74 × 37 in (188 × 94 cm), Pace Gallery, New York

[mandalasilvrene-blog]

Another of the mandala cards I created.

Feel free to ask me about commissions!

The recipient requested a 6-repeat pattern with green, blue, and purple.

This mandala was created on 4"x4" Bristol cardstock with Crayola colored pencils.

[thtflns]

This piece was completed within the past couple years. I’ve used an actual page torn from one of my old college art history texts - obviously modified. The dimensions are 11.5 x 8.5 inches.

 J. M. Hurowitz

[obsidianandblacksatin]

Mandelbrot Set of the Day - 12/9/2024

This animated visualization of the Mandelbrot set reveals its infinite complexity. With every zoom into the fractal, you uncover more self-similar patterns and intricate details. It’s a mesmerizing journey into the beauty of mathematics and geometry! 🌀✨

[casewazlyin]

Lately I've been really caught up in schoolwork. But, lately I've also been working on a really interesting project for Algebra. Our instructions were to take a bridge, calculate the parabolas and lines to find equations that build it, and then plot points on a canvas or a poster board paper. I'm not that good at math, so I did the minimum of five to fourteen parabolas; and I've been working on painting the bridge to look like a Monet painting. I hope to post it when it's finished, I named the bridge; Le Pont De Monet.

[polyacrylamidepensieve]

this is soo cool

[littleawkwardpanda]

If i do anything stupid on the night of 16th of December it means I'm done my math finals for the next 3 years and me and friends are wasted.