Inigo Quilez
@iquilezles.bsky.social
2.1K followers 21 following 41 posts
Math & Art Videos. * https://youtube.com/Inigo_Quilez * https://iquilezles.org Created Shadertoy, Pixar's Wondermoss, Quill, and more.
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iquilezles.bsky.social
It's not real, it's digital art (visual effects, like all the digital cities and creatures you'd see in an Avengers film)
iquilezles.bsky.social
This is an improved design, with paddles at 100 degree or so, which improves throughput by almost 4x (can't do 90 degrees because paddles collide), and make a fun wavy pattern:
iquilezles.bsky.social
Improvised a marble elevator with some lego technique and regular legos, for a lego duplos marble run we had around.
iquilezles.bsky.social
www.youtube.com/watch?v=71gn...

A few weeks ago I talked with the SF ACM SIGGRAPH Chapters on SDFs for creative workflows. While shorter, it covers a lot more ground than my interview at the Wookash podcast, and it's more structured too. And I did some live coding too. I hope you enjoy it!
Inigo Quilez - Unlocking Creativity with Signed Distance Fields - SF ACM SIGGRAPH
YouTube video by ACMSIGGRAPH
www.youtube.com
iquilezles.bsky.social
For those who didn't peep the comments, f(x) is:

∣x∣ˣ

or in code

pow( abs(x), x )

Beautiful, but unfortunately the derivative f'(x) = (1+ln ∣x∣)⋅∣x∣ˣ shoots to -∞ at the origin.
iquilezles.bsky.social
Nope! Even if you adjusted the exponential exp( 3(x-1)/2 ) and the gaussian 1.3*exp(-2(x+0.5)^2), you wouldn't create that level of asymmetry in the bump.
iquilezles.bsky.social
No. But if you try synthetizing it, you'd probably want to replace the sine with a gaussian or something that falls-off rapidly from its center

I'll share the solution later; I was surprised when I found it.
iquilezles.bsky.social
Oh wow, very nice try! But it's even simpler than that.
iquilezles.bsky.social
Nope. But the feature you detected on the right side is a good clue indeed.
iquilezles.bsky.social
No, it's even simpler.
iquilezles.bsky.social
Let's play a game of "Can You Guess the Function?"

hint - it's way shorter than you're probably thinking
iquilezles.bsky.social
We did no ipads/screens for our kid till age 8. Now it's 1.5 hours a week IF creative/craft based. No internet, "digital literacy" is overrated imho. For social media, so far we have enough critical mass of school parents willing to delay it till post-teenage. But we'll see, fingers crossed.
iquilezles.bsky.social
I recorded an interview at the Wookash Podcast. I talk about graphics programing, low level coding, math, product development, demoscene, SDFs, VR, Shadertoy, and other things.

www.youtube.com/watch?v=F1ax...
Painting with Math | Inigo Quilez
YouTube video by Wookash Podcast
www.youtube.com
iquilezles.bsky.social
You can expand the cos directly (1 - x^2/2! + x^4/4! + ...) and apply the said eigen decompoaition. Taylor convereges slowly though, better use some other polynomial.
iquilezles.bsky.social
We found a Julia Set in the wild #mathematics
iquilezles.bsky.social
I think it's 1 :71 (1 black every 72 tiles)?
iquilezles.bsky.social
Yes. I captured the background video with my phone, computed camera tracking for it in After Effects (camera transform per video frame), and then rendered (raymarched) the implicit surfaces on top. I eyeballed the ligthing and shadows to more or less make both layers match.