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Questions tagged [art]

Use this tag for questions related to art and mathematics, the applications of mathematics in art, or vice versa.

6
votes
1answer
93 views

Is there a simple perfect squaring of a 1366 by 768 rectangle?

So, a simple perfect squaring of a rectangle is a tiling of that rectangle by squares whose side lengths are all distinct integers. Additionally, not subset of the squares must form a smaller ...
11
votes
2answers
923 views

Mathematics and the art of linearizing the circle

[I edited the question and put stronger emphasis on "constant curvature" than on "naturalness".] One of the most prominent problems of ancient mathematics was the squaring of the circle: to construct ...
4
votes
2answers
411 views

Realistic 3D fractal Christmas tree

I would be interested to see a realistic 3D fractal-generated Christmas tree. The best I could find is the Adobe Stock image below.                   &...
6
votes
2answers
95 views

Pythagorean theorem painting

I came across this painting(http://www.galleriarusso.com/works/10586-pythagorean-theorem.html) which clearly shows a dissection proof of the pythagorean theorem. The closest proof I found was #72 on ...
3
votes
1answer
94 views

Do the loops “Snakes” by M.C. Escher correspond to a regular tilling of the hyperbolic plane?

In M.C. Escher's Snakes, you have three snakes going through some loops. I'm more interested in the loops though. In this image, a ring model of the hyperbolic plane is given. It is given by $w=e^{za}...
3
votes
2answers
160 views

Is this Escher artwork a tessellation of the half-plane model of hyperbolic space?

One Escher's prints look like this. A similar one is this. These look suspiciously like Poincaré half-plane models of the hyperbolic plane (there are pieces of artwork by Escher specifically based on ...
2
votes
2answers
120 views

Do there exists art works representing high math-related topics?

I'm not looking for pieces in which math related object appears with allegoric meanings, but works which aim to to have mathematical objects as principal subjects. Specifically, I was wondering if ...
3
votes
0answers
103 views

Fractal-like shapes - is there a name for these?

So I created some geometric art inspired by string art. I feel like there's a name for this type of shape/image. I'm asking on mathematics.stackexchange because the process of generating the below ...
0
votes
3answers
219 views

How can I draw a 10 unit long line? [closed]

Last question I asked like this was a bit overkill so let's try something simpler instead. How can I write an equation of the form <stuff with x>$=0$ that ...
1
vote
0answers
65 views

The art of arithmetic [closed]

People doing arithmetic in a high level usually agree that there is an inherent beauty in numbers. They also often have trouble to find the words to describe how they feel and why they find arithmetic ...
5
votes
2answers
169 views

Where is a good source for serious math (wall-size) posters?

Where is a good source for math wall posters that give glimpses of serious and beautiful mathematics? I'm a faculty member looking to find some wall posters (e.g. 2 ft x 3 ft) to hang in a handful of ...
10
votes
1answer
323 views

Mathematics and cinema

I wander if anyone of you have some knowledge about relations between abstract algebra and cinema. I'm not searching for movies about mathematics or algebra; I'm searching for some kind of application ...
4
votes
1answer
170 views

Finding parameter paths for beautiful fractal animations

So I just got renewed interest in fractals and especially animations with fractals. To make an image or a frame, we usually need to evaluate a fractal for a subset of it's parameters. However for many ...
1
vote
0answers
70 views

What is the root structure of the Diffeomorphism Group?

Being a physicist, I think it'd be cool to have Coxeter plane projections of the root systems of the symmetry groups associated with the fundamental forces hanging on my walls (example for E8: http://...
13
votes
5answers
1k views

An Illustrated Classification of Knots.

Let me be honest here: I know very little about Knot Theory. I'm sorry. I've a friend though, someone with no training in Mathematics at all but who is a huge fan of knots (for whatever reason), who ...
10
votes
3answers
2k views

Scaling and rotating a square so that it is inscribed in the original square

I have a square with a side length of 100 cm. I then want to rotate a square clockwise by ten degrees so that it is scaled and contained inside the existing square. The image below is what I'm ...
8
votes
0answers
163 views

Legitimate papers refuting the significance of the golden ratio in art?

I'm not sure this is the right place to ask about this, but is there any legitimate peer-reviewed paper refuting the significance of the golden ratio in art? I can find numerous websites and blogs ...
4
votes
1answer
272 views

How can I understand is the picture $2D$ or $3D$

I can not understand is this picture 2D or 3D. What is the rule or condition to be a 2D or 3D picture. How can I understand that? Please help me!
11
votes
1answer
389 views

What does this music video teach us about 863?

This delightful animation by Stefan Nadelman depicts "the additive evolution of prime numbers", set to Lost Lander's song "Wonderful World": http://www.youtube.com/watch?v=TZkQ65WAa2Q. (If you haven't ...
10
votes
1answer
693 views

Mirror anamorphosis for Escher's Circle Limit engravings?

You are probably familiar with "mirror anamorphosis," the rendering in a painting of a distorted figure that can be undistorted by viewing in an appropriately tilted or curved mirror. The skull in the ...
5
votes
0answers
140 views

Different mathematical models for Audio? Their dimensions and limitations?

Stephen Hazel suggested some dimensions such as time, pitch, velocity of note down event, current root note of chord, chord type(major/minor/7th/etc), pan of the mix, volume of the mix and holding ...
12
votes
1answer
738 views

Math and Cubism Theory books?

This is a similar question as the art question about music here. I am trying to understand how to formulate different styles of cubism mathematically. Ok, we surely will not end up to one definitions ...
11
votes
6answers
1k views

Suggestions for topics in a public talk about art and mathematics [closed]

I've been giving a public talk about Art and Mathematics for a few years now as part of my University's outreach program. Audience members are usually well-educated but may not have much knowledge of ...