Hi! Today we shall explore some standard functions in math that generate beautiful artwork. Note that these are standard functions and my original work will be out soon.
Quick introduction to some basics. There are 4 major ways in which we can represent functions in 2D. We shall see an example of how a circle is represented in each form.
- As a set of points. Example : {(1,0), (0,1),(-1,0),(0,-1).......}
- y as a function of x. Example : y^2 = 1 - x^2
- Polar coordinates. Example : r = theta
- Parametric Form : x= cos(y), y=sin(t)
Most of these images below are from the internet. Please pardon the quality as I was too lazy to generate the images myself. But when I plot I use Desmos online grapher.
We will now observe some common shapes generated through functions.
Heart 💙
Infinity Symbol(+Flowers)
Spiral
Logarithmic spiral Normal Spiral
Butterfly
Grid
This equation creates an infinite graph spanning all of the 2D space.
Rangoli (Lissajous curve)
Notes
There is way too much math art out there to put into blog posts. So I am going to leave you with the following links are are good place to start.
PS: My personal artwork will be out soon.
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