Torus Knots explained! @TheArtofCodeIsCool

The Art of Code | Torus Knots explained! @TheArtofCodeIsCool | Uploaded August 2020 | Updated October 2024, 2 hours ago.
In this video we'll look at how to construct a torus, or trefoil knot. Torus knots are not too hard to understand and they look very cool and can serve as the basis of many cool effects.

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Starting point:
shadertoy.com/view/WtGXDD

Live version:
shadertoy.com/view/ttXBzB

To learn how to write your own ray marcher, see this video:
youtube.com/watch?v=PGtv-dBi2wE

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$Smoothstep: The most useful function The smoothstep function is used all the time in shader creation so I made a video about exactly how this function works, and how to derive it yourself. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode ShaderToy: https://www.shadertoy.com/user/BigWIngs PayPal Donation: https://paypal.me/theartofcode For a more indepth derivation of this function, check out Interpolation for Dummies: https://youtu.be/NO5JGFJJ_Kk To see what you can do by drawing ONE line after you have folded space, check out this video on the Koch fractals: https://youtu.be/il_Qg9AqQkE$

$The Mandelbrot Fractal Explained! Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode The Mandelbrot fractal, or Mandelbrot set as its sometimes called. Most people have seen its iconic shape and many of us have marveled at its beauty and complexity. It has become somewhat of a poster child for chaos theory and perhaps math in general and it is the go to example for what you can do with complex numbers. It is literally infinitely deep and in my mind, infinitely beautiful. But how does it work? Lets find out! Follow me on twitter @The_ArtOfCode$

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