Are Math Visualizations Art? 

Im not sure how much content you can make from connecting math and art like this, but Im sure many of us would be very thankful for more videos like this and the fibonacci one. Best of luck!

There are so many choices in your artistic process! Starting from the sequences you choose, the type of visualisation, the composition, the tools you use, the colours, the mathematical basis in the first place... There is no room for the doubt „if this is art“. It clearly is! To me it is expression of the connection and beauty of mathematics, structures, aesthetics, understanding, problem solving, and so many more things I love. Your work is awesome! Thanks for sharing it.

very nice..I am turning 60 next year and as a teenage artist and programmer started on the same ideas back in the 80s writing programs to create art from math. Even did ray tracing and particle simulations with the limited computers of the time. The software company i now run is call PhiLight so it has never left me. I guess what i'm saying is you have a audience and there are others that find your work very interesting.

I literally just rewatched your video fibonnacci video last night, then you posted 👌✨

Dude this niche you found is actually so interesting to think about. You've found a way to sort of reverse-engineer nature's code! Seriously, the thought that you can mess with the fibonacci sequence in weird ways and get it to produce cool looking shapes might be a great way for teenagers to intuitively understand how this weird set of numbers is seemingly so integral to life

4:07 Looks like the logo of Brilliant

Not only your math artwork is stunning but also the video is very well produced. Congrats Jacob! I'm keen to see the next videos

im also very interested in this subject matter. eagerly awaiting more

Jolly good MathArt, I like the math-odd you're add-hearing to, too.

Your passion about maths is really inspiring. By the way, have you ever done any artwork regarding graph theory, particularly graph colouring?

Hey ! I just watched your « a new way to represent Fibonacci numbers » video. I really think a poster with these circles and shapes would look amazing. I would totally buy one if you decide to make some !

Your channel looks really fresh and mysterious. Loved the way you voice over this video while showing visual of the series and how you approach things!!! Subbed

Plz continue, your videos are awesome!

Cool math art for anyone to play with. Let a, b, c, d, ... be an integer sequence Let a', b', c', d', ... be the least positive residues of this sequence modulo M Consider the coordinates (a',b'), (b',c'), (c',d'), ... Now plot these coordinates. Example, Let a, b, c, d, ... be the Fibonnaci sequence 1, 1, 2, 3, 5, 8, 13, ... and let M be the number 5 Then our coordinates take the form (1,1), (1,2), (2,3), (3,0), (0,3), (3,3), (3,1), (1,4), (4,0), (0,4), (4,4), (4,3), (3,2), (2,0), (0,2), (2,2), (2,4), (4,1), (1,0), (0,1), (1,1), etc. where this pattern repeats indefinitely. Plotting this in a graph yields OOOXO OXOOO OOOOX OOXOO XOOOO More striking is if we remove the left column and bottom row ie the zero coordinates. This reveals some nice rotational symmetry OOXO XOOO OOOX OXOO Again using M=7 instead of M=5 and removing the left column and bottom row yields OOXXXO XXOXXO XXXXOX XOXXXX OXXOXX OXXXOO Again using M = 6 and removing left column and bottom row yields OOOOO OXOXO OOXOO OXOXO OOOOO Some very nice spiral patterns emerge from these plots and its visually striking when plotted on graph paper. Using the Fibonnaci sequence and letting M vary makes for days of fun recreational math. One can also vary the manner of choosing coordinates and of course explore integer sequences besides Finonnaci.

So great! Math so beautiful and diverse. have pages and pages of those type of graphs in all kinds of colors. Iteration is the single most profound tool. That and the inversion of the circle. 👍

I have just discovered your fascinating channel. Good work.

Keep it up! :) I wish you all the best

I've recently read a paper about tilings and it reminded me of your work.

I’ve been thinking about Math integration into art too. For me specifically music. Theres math involved but I want to use different concepts. I have Synesthesia so it helps with the visualization involved.

you're doing great work my friend

Nice work in the world of symmetries and fractals! In what program do you code the tilings?

Do you happen to have your art up anywhere? I would love to see more man

There's definitely artistic expression there. And it can also, perhaps, be mathematically insightful.

In theory, everything can be art, in practice - art is what a small bunch of critics calls it. Your view doesn’t matter if you don’t have connections to popularize it

Interesting

Hola. Encantada de conocer tu investigación en Matemáticas y Arte. Me siento conectada a tu proceso: hace mas de 20 años inicié una tesis en grabado partiendo de las matemáticas. Queria poder representar conceptos matematicos para que sean compresibles a las personas y me centré en Pitágoras y me guió El Libro de los Números Cuadrados de Luca de Pisa. Estaba fascinada ... Era algo interminable y se convirtió en un infinito... Hay una serie de libros de Matila Ghyka que pueden resultarte muy interesantes... También creo vas a disfrutar de un animé que se llama Alejandro Magno o Alejandro Selenki... Luego mis intereses derivaron hacia otro lado... Jejeje te cuento que hasta me inscribí en la Licenciatura en matemáticas porque queria comprender a fondo lo que estaba investigando en Arte... Jeejeje... Igual no continué... Gracias por compartir tu experiencia ❤❤❤.

Wow, you're an inspiration. G

this is great

i play a lot with math, art, animation, etc. But even if i know well some programing language un libraries to help with that, i don't always feel having the tool that i need.. So wich one you use ? And how did you imagine the "best" drawing / scripting programe for this kind of art ? (something between game engine and image editor)

Iteration is like mathematical self reflection. What is the real desire of this equation?

The answer is yes 👍

You know, you could think of the visualizations of the sequences as an intrinsic art of mathematics itself. That's the way I usually think of them ... .

I've seen you've done something with cellular automata (?) - maybe this collection of fractals could be interesting for you: www.dropbox.com/sh/ek5cvu7406hy3u4/AAALDhmvuha5q_u5AiCWjhQIa?dl=0 i made it with p5 and it uses cellular automata to generate.

I have seen literal trash presented as art...use what you want as the tool...art is art to those who see it as so. By the way yours is by far 011235......