Art can be about anything, and Mathematics is just another topic.

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Intriguing. I believe graphic design is a place where art meets mathematics (including data analysis).

@Ross Cline This is a huge one, and I’m afraid I won’t be able to get anywhere close to in-depth because what I persoanlly know about art/math intersections is shallow… but I think it’s such an interesting topic and there’s so much to explore, so I’m gonna share my take anyhow. Maybe I can throw some seeds that you or others can sprout. I am personally not bothered by the idea of art and math as related fields - I actually believe they are indeed related regardless of anyone’s likes or dislikes, and, to me, this relationship can be pretty cool. But I understand not everybody would agree with this at first. I also get the feeling that visual arts often tend to be seen not only as unrelated to math, but sometimes even as a sort of “opposite”: left brain x right brain, logic x creativity etc. Perhaps other types of art, such as Music or Poetry, could more easily be seen as math-related fields, or at least have clearer intersections with math principles. But I remember a teacher once telling me that mathematics is a “science of relationships” - and what is drawing if not composing visual elements in space by conveying a specific spatial relationship between these elements? Well - Nowadays, here in my country, I teach at a college program called “Digital media and systems” - it’s basically a mix of multimedia, webdesign and computer science. Students learn a bit of everything from traditional drawing and graphic design fundamentals to programming, digital animation and game design plus a bunch of other stuff. Because of my background, personal interests and current field of study, my modest place in the program is to take care of some of the more specific classes related to drawing, design and creative thinking, but I’m constantly witnessing a lot of discussions that tangent the concepts and skills of using math to make art. As far as I can see, one of the most important things that bring art and math together nowadays is videogames. It’s such a joint effort to produce a videogame that works beautifully in terms of visuals, mechanics and functionality - it certainly requires a multidisciplinary and “non-specialized” team with skills that merge computing and art (and more). Broadening from that, I actually guess we can see this same type of art and math blend in almost every digital interactive multimedia product: digital art installations, virtual and augmented reality, “enhanced” webcomics (those which use hypermedia tools and resources) and even some apps and websites that have a more “conceptual” (less function-focused?) and experimental approach. By the way, I just remember “The bridge” - it’s a digital puzzle game I tried playing a couple of years ago on PlayStation. Its visuals and mechanics are based on the artworks of Escher - I bet you might like to check it out in case you haven’t heard of it! If we look back in history a few years ago, a good deal of designers and architects at the Bauhaus certainly did their share of “math-like” explorations in their artistic theories and designed products. (The parametric-graph-artwork @pollypopcorn shared reminds me a lot of the geometric visual approach in Bauhaus posters and in the work of Max Bill, from the Ulm school of design. And I also see some similarities with Art Déco patterns!) By the same time, I also remember there were several modern art tendencies which had a “mathematical thinking” ingrained: Concrete Art, De Stijl and even Picasso’s famous Cubism. If we’d go even farther back in time (when knowledge still wasn’t as fragmented in so many “disciplines”), we’ll see genius artists like Da Vinci and Dürer apply mathematical concepts in their creative work. And when I think about it, I guess architecture has been a clear area where math and art have been intersected and explored since very old times! Greek architecture is probably a “top of mind” example, but I also think a lot of of celtic, arabian, aztec… and even not just architecture, but also their symbols, ornaments, iconography. It’s funny that I came to think of videogames and digital art first, but art and math really seem to have always been related more closely than most of us would initially suspected. And you mentioned Escher, right? I was reading a bit about him and I saw he spent most of his life neglected by the art community - it appears his work only started to be acknowledged when he was in his 70s, and only now in the 21st century it really started to be celebrated. Now I’m wondering Escher might have been a mind ahead of his time or, at least, someone broad-minded enough to see intersections other artists didn’t see back then. I’ve been going on for a while and I think this is all I got for now - maybe there’s more thoughts and conversation material to harvest out of this? Nice talking!

Here's a graph of a rainbow I made forever ago. And another graph. I think it's possible to make art using parametric graphs and people have done it before, like this batman graph, if you have the patience for it (which I don't). Origami definitely is a good mix of art and math. Angles, efficiency, and more. Origami is also being used by some engineers today. My art history teacher recently said that antagonism between math and the arts is a cultural thing, and that math (especially geometry) was an important part of educating artists in Islamic societies in the past. Math and geometry can definitely be used to figure out what things would look like and make cool patterns. Some people make art based on mathematical rules. Some judge art based on math. Some people make art inspired by math. Art and math are often a lot more connected than we give them credit.

I mean the golden spiral and Fibonacci sequence are pretty important in composition.