Aneesh’s art dump- art from mathematics

Aneesh1729

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So during this pandemic i faced a period of depression And math burnout(normally i really like math, but i got burned out of it during that time period,a lot of math majors/ people interested in math like myself get burned out once in a while). However i discovered this video one day,
,which explains all the math that goes into the making of Pixar movies. I had an idea for a new hobby of mine from that video, i I will use mathematics as a means of creating artwork. So i fired up desmos(yes the calculator ) and created all the artwork you will see in my next post .This ended the period of depression and burnout, and also changed art,one of my least favorite subjects in school(hand drawn art and to a lesser extent digital artwork done normally and dyspraxia, like i have, don’t mix) into one of my favorite subjects.
 
Ok so here are some of my drawings
1629389211641.jpeg
I made this drawing of a 3blue1brown pi creature. You should check out 3b1b btw, he is an awesome youtuber and explains things really well.

3A58EBD5-9DBC-4606-8C1B-F1F74BE6B999.jpeg

Here is an artwork of a loving bulbasaur i made,this is the first drawing of mine where i have the equations for it. Ok most of it, i lost the link to the full equation list and only have an older version:https://www.desmos.com/calculator/allz34r1mq .
032CAC84-EE3C-49BC-9648-4D0D4383B967.jpeg

I made this artwork of the lets player and perfect run guy for megaman roahmythril. This artwork was the first to introduce my main method of coloring artwork. I feed desmos a bunch of points and it automatically creates a polygonal area which can be filled in with color. Like so
2FEA3DA8-03CD-4D5D-A317-3824817263A8.png
. I will sometimes color with inequalities though like so . Do most digital drawing softwares have anything like my ways of getting color? Those are convenient ways of getting color as it is pretty much hands free. this is the link to the equations by the way
. the fact that i was able to create color conveniently led to my next artwork and to this day the one with the most equations:https://www.desmos.com/calculator/zbhzo1tifc
. This artwork of ameterasu from okami i made is kind of a big deal,
1629391509573.jpeg

, so much so that i used it as my avatar
.not only is this my first artwork to be colored(well mostly) And with custom colors(i learned desmos supports custom colors. To get one all i have to do is assign a color to a variable and say rgb(a,b,c) where a b c are the RGB values of the color i want to get. but this one was a huge step up in the math used. I brought out more of my mathematical knowledge than before and increased the percentage of Let me explain, for 1, i have been using bezier curves since my second official artwork, if you have used adobe illustrator you have used them without knowing it(this is adobe illustrator’s pen tool) ,but this was the first artwork to feature weighted bezier curves. Speaking of bezier curves, most of my artworks up to this point have been made using only them but functions gained an increased prominence here in this artwork, for example one of the stripes on ameterasu’s body is just the inequality between 2 curves.Moreover i used derivitives from calculus to get smoother joins for my curves. Speaking of derivitives i also brought out stencils to calculate them efficiently..This is also the first drawing to use linear algebra. Using matrices allows me to rotate,stretch or squish, shear or even project a point onto a line. I also first used varying line thicknesses in this artwork. After all that text, i’ll send more pictures in the next post
 
Here are some of my other drawings

here Is fanart of cyndaquil reacting to himself on wolfram alpha or fun with wolfram alpha as it is called on the desmos graph.This is my first drawing not to use an image as a base and i hope to do some more in the future. For those of u wondering, wolfram alpha has popular curves for every pokemon:https://www.wolframalpha.com/input/?i2d=true&i=pokemon+curves
so i made fanart of that. did i mention i gained even smoother joins than before in this artwork.
F79CB3DC-2AE0-4F55-B097-73B53E1AB332.jpeg


Also the video in the OP shows a subdivison process. I used that subdivision process to create curves. also this displays another trick of Mine, i can approximate any rough piecewise pair of functions with a smooth function with this trick
the below is the link to the equations

https://www.desmos.com/calculator/8mbkn7r5ap

if you actually look at wolfram alpha and see the curves you will see that they are made of a bunch of sines and cosines, needless to say my most rexent drawings are those so i present to you a sillohuete of isabelle with a bunch of sines and cosines:
989D64FD-02BC-42E3-BC24-4BC51163C78B.jpeg

. I can even tell you the equation for her head:
x=1.79474074321sin(2πt)+0.174402111671sin(4πt)+0.084695192745sin(6πt)−0.101256807013sin(8πt)−0.01949152976sin(10πt)−0.0558685927431sin(12πt)+ 0.0254412002519sin(14πt)+0.0221336714781sin(16πt)+0.0135605449208sin(18πt) -0.0186638709432sin(20πt)
y=1.42017922356−2.12630174104cos(2πt)−0.250767700099cos(4πt)+0.241933107318cos(6πt)+0.0956124293914cos(8πt)−0.0148746987722cos(10πt)−0.00707058373774cos(12πt)+0.00881387446785cos(14πt)−0.0104414978059cos(16πt)−0.0126851363844cos(18πt)−0.0151354778108cos(20πt)

.i’d like to see somebody make this into a full drawing.I’d like to make more villagers in this style.

i did this style again with flammie from the mana series,
5029502E-CE34-420C-90BB-33F5FAA08942.jpeg
.
by the way heres what i think flammie’s dad looks like(hey she is described as a dad):
8D7C238A-C5F2-45D4-ADC3-66266EB68921.png

. I so had to make a papa flammy joke , a youtuber i really like as long as he isn’t making crap like this a thing,
EEFDFF33-02FC-4427-BFF2-6815528109C5.jpeg

.by the way here is the link to the equations for these last 2 drawings, not counting the bad pun. I don’t consider this a drawing, just an image i edited on LaTeX.
:https://www.desmos.com/calculator/cpchwqqv4nf

,https://www.desmos.com/calculator/2uhyxn4gwx <- this one for flammie. also
 

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this is actually really creative omg?? your art is fantastic!!
 
extremely cool stuff! it's always nice to see people creating art in unconventional mediums
 
this just in i discovered how quaternions are represented as matrices after a bunch of guesswork, I had the idea for a future artwork of mine being my first 3d drawing. I heard it was possible to write your own 3d renderer on desmos although i'd like to figure out texture mapping and all that jazz before i do though. and these numbers are important for rotation in 3d[i have yet to derive how the rotation thingy works though] which i think i'm gonna need for 3d rendering.
 

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I made Ronald and marina by mostly only summing up sines and cosines more villagers coming soon
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These were also intended as fairly quick drawings so i didn’t bother coloring them
 

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If all goes well this is gonna be the first OC ever to be made entirely on desmos.I think
 
Wow, how really interesting is that! During the pandemic, I also burned out, especially when there were a lot of math tasks, and I could not figure everything out on my own ...
So during this pandemic i faced a period of depression And math burnout(normally i really like math, but i got burned out of it during that time period,a lot of math majors/ people interested in math like myself get burned out once in a while). However i discovered this video one day,
,which explains all the math that goes into the making of Pixar movies. I had an idea for a new hobby of mine from that video, i I will use mathematics as a means of creating artwork. So i fired up desmos(yes the calculator ) and created all the artwork you will see in my next post .This ended the period of depression and burnout, and also changed art,one of my least favorite subjects in school(hand drawn art and to a lesser extent digital artwork done normally and dyspraxia, like i have, don’t mix) into one of my favorite subjects.
Wow, how really interesting is that! During the pandemic, I also burned out, especially when there were a lot of math tasks, and I could not figure everything out on my own ... But then, I also started looking for additional and interesting resources and found https://plainmath.net/post-secondary/calculus-and-analysis/integral-calculus/integrals and also a lot of video blogs. Since then, calculus and analysis has become less boring, but still I miss the live lessons.
 
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this just in i discovered how quaternions are represented as matrices after a bunch of guesswork, I had the idea for a future artwork of mine being my first 3d drawing. I heard it was possible to write your own 3d renderer on desmos although i'd like to figure out texture mapping and all that jazz before i do though. and these numbers are important for rotation in 3d[i have yet to derive how the rotation thingy works though] which i think i'm gonna need for 3d rendering.
that might not happen until i take computer graphics myself in uni, probably 2 semesters away from now
 
i discovered how to make better shading in my artwork:check this out:https://www.desmos.com/calculator/zel9unpick . it works as needed,that green point acts as a light source and i programmed it to get darker as things get farther from this thing.and used the angles of the coordinates of the centers of each point(measured with the light source being the origin and the coordinates of each center being measured ALA polar coordinates),here is an eariler demonstration on how polygons get darker the farther the centres of each polygon are from the light source: https://www.desmos.com/calculator/vdvoga80rg.should i make art of myself running around naked, because i feel like archimedes right now after he discovered his principle.Thats how fundamental this discovery is for my art.
 
I really love your unique approach with your art and combined love for math, very lovely ♡
 
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