Torus Knots explained!

[@DoganAktay8]

between you and Inigo's videos, I feel like I'm getting a university graphics & math course for free. Cheers

[@samsaraAI2025]

which is the Inigo channel?

[@DoganAktay8]

@@samsaraAI2025 kzbin.info/door/dmAhiG8HQDlz8uyekw4ENw

[@vinciardovangoughci7775]

We are! It's incredible.

[@liankyson9161]

you prolly dont care but does anyone know a method to get back into an Instagram account?? I somehow forgot the password. I appreciate any help you can give me!

[@felipegutierrez3477]

Great video! Imagine how many kids would love maths if they where taught like this.

[@TheArtofCodeIsCool]

I agree with you, whats often missing in math class is a practical application and computer graphics are great for all kinds of math concepts.

[@felipegutierrez3477]

I agree 100% with you a practical example is something that is lacking in instutions (at least at novice levels), teach SUVAT equations using a game engine and you have people that even if they don't go into the realm of programming would remember for their whole lives how cool was it to calculate how to hit someone/something (literally) with maths.

[@dashxdr]

Always a pleasure seeing you've made a new video. Thanks!

[@prietjepruck]

Another great tutorial! Thanks.

[@gekfurian]

Thinking that all of these alien scribbles are what is under the hood of all 3d softwares is amazing. And you dismissed the intermediary. Well done.

[@polygon4399]

My! thats a big beer mug you got there. Sweet Tut btw

[@icecoladrink]

Thank you, for your work and tutorials. Such of great power here!

[@theobgshow]

Hi Martijn. Thanks again for another informative video.

[@TheArtofCodeIsCool]

My pleasure!

[@aayushparashar4143]

Another amazing video!!!! Really think that you should do more videos on Ray Marching,it's really easy to understand and interesting.

[@СергейПавлов-в2е]

Wow..wow..wonderful!

[@RomanPapush]

As always, this is just superb! 🙌

[@syntax8083]

Love the cheeky specular! As always, fantastic lesson

[@curiouspers]

Sure we wanna see animals on the knot! Thanks for great video!

[@murraymacdonald4959]

You're awesome. Thank you

[@realcygnus]

Superb content ! as always

[@dashxdr]

That really was informative, nice to know how those things are done.

[@TheArtofCodeIsCool]

Glad it was helpful!

[@badhombre4942]

This went waaay beyond expectation.

[@Jhat]

will you consider perhaps a tutorial on an AA implementation?

[@TheArtofCodeIsCool]

Yes!

[@Jhat]

@@TheArtofCodeIsCool awesome can't wait!!

[@TheBookDoctor]

Heh. I was just getting ready to say "now map u,v coordinates to the surface" when you said that as a next step. :)

[@icecoladrink]

Maybe you can explain 4D Quaternion Julia Set Ray Tracer? I think you can this stuff do understand

[@gijsb4708]

Great video :)

[@heroaax7589]

Nice and informative video! Could you make a video about rendering Vector Graphics (and Fonts) directly from beziere Curves/ Splines with a Ray Marching shader?

[@TheArtofCodeIsCool]

Bezier curves have been on the to-do list for a while. It'll come.. eventually ;)

[@letsadoptloli2014]

You have an amazing talant to explain how something complicated assable from trivial/understandable facts. And even when hear "now we do simmetry" and it's obvious how to do it, but when you say how to do it, it's not boring and give time to imagine what else i can do with that trick. (yeah, i'm really bad in commas so i randomly put it, and writing in english too, but i understund all what you explaining, it's really help when you twisting hand-made circles, to describe what will happen, or opening desmos)

[@greje656]

Awesome vid again :)

[@theobgshow]

Why does the absolute fold the y?

[@TheArtofCodeIsCool]

It folds negative numbers onto their positive counterpart. For example abs(x) maps both -2 and 2 onto 2 or any other number for that matter.

[@theobgshow]

@@TheArtofCodeIsCool Thank you very much.

[@hanniffydinn6019]

It's Knot rocket science! We are Knot amused! What's Knot to like? 🤯🤯🤯🤯

[@theobgshow]

I'm getting cold turkey here. When is the next video? :)

[@TheArtofCodeIsCool]

Its already up for Patrons, everyone else -> next thursday!

[@theobgshow]

@@TheArtofCodeIsCool oops my bad. I should cough up. Ahem.

[@黄胖虎-m9c]

good！

[@sidfreeman835]

Are there any mathematicians here? I can easily look up the functions such as max(), min() and their meaning. However, if I wanted to apply myself to study for the next 12 months, what should I learn, in order to understand these functions and the maths behind programming these graphics? Thanks in advance.

[@TheArtofCodeIsCool]

I suggest you start at the 'shadertoy for absolute beginners' video and work your way up.

[@sidfreeman835]

@@TheArtofCodeIsCool I didn't want to bother you directly as I assume you're a busy man. I meant which branch of maths I could apply myself to in order to illuminate and have have a deeper understanding of the subject. Your explanations are superb and they serve for the tutorials and beyond in some cases. I'm wondering if I should apply myself to trigonometry, linear algebra, calculus and if there is a recommendation for any particular maths course or foundation. I am a computer science graduate that studied discrete mathematics and have a college level understanding of trigonometry and a little less knowledge in algebra and calculus. I am over 50, so it has been a while.

[@TheArtofCodeIsCool]

@@sidfreeman835 there really isn't that much you need to know to get by in computer graphics. I'd make sure to understand vectors, matrices and perhaps some trigonometry and calculus.

[@icecoladrink]

If you want i can give you a source code

[@osten222312]

Can we clone this guy or something?

[@Aldrasio]

Great info, I've been looking for a guide to knots for a long time and this video made it really clear. Can't wait until the next part Something I'm working on while following along: www.shadertoy.com/view/WtffWf

[@diqnu]

Based on your great work, I´ve programmed this interlocked moebius strips shader. You are an inspiration Martijn. www.shadertoy.com/view/3d3yW8

[@hanniffydinn6019]

I asked my rigger buddy if he could tie me up later, he said "I’m a frayed knot” ! 😝😝😝😝😜

[@jahrazzjahrazz8858]

Torusception incoming