Inigo Quilez+

I'm very impressed by the branded black gear box.

I'm very impressed by the branded black gear box.

We all know that for ancient unknowing humans and their poor souls, eclipses (an

We all know that for ancient unknowing humans and their poor souls, eclipses (and comets) must have been the ultimate terrifying force driving the creation of mythology and worship. It was awesome to finally understand why.

In two short seconds, the darkness took over the daylight, the blinding sun beca

In two short seconds, the darkness took over the daylight, the blinding sun became black, and the huge corona ignited around it like Sauron's eye in the middle of the sky. Yes I knew all these would happen, I had seen live streams before, but still I wasn't prepared for the actual experience of it.

In my mind I imagined this would go down more or less like when you finally see

In my mind I imagined this would go down more or less like when you finally see the Mona Lisa or the Statue of Liberty in real life and go, "ok, just like on TV, cool; so, where do we go for dinner now?" But this wasn't that.

We watched the total solar eclipse a few hours ago. I went with tempered expecta

We watched the total solar eclipse a few hours ago. I went with tempered expectations since I do actively keep up with astrophysics news and knew exactly what we were about to watch. Or so I thought.

The slope average (bisector of two lines through the origin) #maths #education #math #mathematics

They show everything, yet at the same time, from what I see in Youtube trailers

They show everything, yet at the same time, from what I see in Youtube trailers and social media clips, they blur all backgrounds like it was a cheap cubemap in an NVIDIA demo from the mid 2000s. It's very weird, and I don't watch enough movies to have gotten used to it.

(yes I know very few shots are actual CG, etc etc, but still)

(yes I know very few shots are actual CG, etc etc, but still)

And then you have the original Jurasic Park looking better than most current Mar

And then you have the original Jurasic Park looking better than most current Marvel films. Sometimes it's about tech, sometimes it isn't.

Thanks for watching!

Thanks for watching!

That was fast!

That was fast!

I made a video about the smooth-maximum function, I hope you like it! youtu.be/

I made a video about the smooth-maximum function, I hope you like it! youtu.be/6Qb6QtC6QMs

Smooth-Maximum, the most useful function

The smooth-maximum function is one of the most useful tools that you should definitely have in your mathematical toolbox. It can help you repair other functions and control artistically the look of shapes, among other things. Support this channel: https://www.patreon.com/inigoquilez Subscribe: https://www.youtube.com/c/inigoquilez X: https://x.com/iquilezles Bsky: https://bsky.app/profile/iquilezles.bsky.social Tiktok: https://www.tiktok.com/@inigoquilez 0:00 - Introduction 0:51 - Rewriting the maximum as a middlepoint plus a distance 2:41 - Deriving the Smooth-Maximum formula 4:50 - Using i

I did a mediocre job in this one, I'm pretty rusty. Next one will be better!

I did a mediocre job in this one, I'm pretty rusty. Next one will be better!

Forgot the actual shader! www.shadertoy.com/view/33GyRV

Forgot the actual shader! www.shadertoy.com/view/33GyRV

A live session coding a procedural tower of bricks. Turned out ugly, I fixed it

A live session coding a procedural tower of bricks. Turned out ugly, I fixed it a bit in shadertoy after I closed the recording: youtu.be/DAMiS2PGTEE

Coding a procedural brick tower

I got an email asking about creating bricks and mortar procedurally. Feel free to send me your suggestions in the comments (I read them all). The code is here: https://www.shadertoy.com/view/33GyRV

Haha. I mean, it is as low poly as Elevated was, they really nailed it.

Haha. I mean, it is as low poly as Elevated was, they really nailed it.

A little shadertoy of my favorite song+film www.shadertoy.com/view/t3cfWf

A little shadertoy of my favorite song+film www.shadertoy.com/view/t3cfWf

I wrote down something here: iquilezles.org/maths/arctan/

I wrote down something here: iquilezles.org/maths/arctan/

I've found this cute approximation for arctan(x). I'm not suggesting you should

I've found this cute approximation for arctan(x). I'm not suggesting you should use it, all I'm saying is it's cute.

You don't need any app, if the two PCs A and B are on the same network you can d

You don't need any app, if the two PCs A and B are on the same network you can drag and drop files from any folder in A to any folder in B. Or are you talking of automatic drop-box style sinchronization or shared drives?

Yeah. Basically, floating point/IEEE754 is pretty good stuff.

Yeah. Basically, floating point/IEEE754 is pretty good stuff.

Yes, for anything but toy examples GCD reduction is not sufficient and you need

Yes, for anything but toy examples GCD reduction is not sufficient and you need t some arbitrary precision/BIGNUM implementation, which sucks. Trigonometry can be avoided in almost any situation I can think of. Square roots require some sort of modified Pell's equation, which I've not explored yet.

My snowflakes! Although that room must actually be SUPER HOT with all those PCs

My snowflakes! Although that room must actually be SUPER HOT with all those PCs playing shadertoys at full screen...

Editing error, i tried civering a moth/insect that had installed itself on the b

Editing error, i tried civering a moth/insect that had installed itself on the background half way through the recording.

Ah, that's the problem then. It should be easy to fix on their side by using the

Ah, that's the problem then. It should be easy to fix on their side by using the API instead.

Hi, what version of HTTP are you using to access the API?

Hi, what version of HTTP are you using to access the API?

If you only needed to serialize 64x64 pixel PNGs, you could use this:

If you only needed to serialize 64x64 pixel PNGs, you could use this:

Here's some cute bounding box functions for 2D shapes. A longer list here: iquil

Here's some cute bounding box functions for 2D shapes. A longer list here: iquilezles.org/articles/bbo...

Yes, the API systems is doen for now, a d so is the embedding. We'll work on emb

Yes, the API systems is doen for now, a d so is the embedding. We'll work on embeddings next week, and API next.

Pol and I will tonight.

Pol and I will tonight.

We will start opening some of the attack vectors we closed, gradually admnd with

We will start opening some of the attack vectors we closed, gradually admnd with more secueity. Bit some will remain closed. Send me an DM or better an email at info@shadertoy.com, and we can coordinate.

Yeah, we only had 1 week of break between AI crawler attacks. This one is even h

Yeah, we only had 1 week of break between AI crawler attacks. This one is even hungrier than the last one.

It's not real, it's digital art (visual effects, like all the digital cities and

It's not real, it's digital art (visual effects, like all the digital cities and creatures you'd see in an Avengers film)

This is an improved design, with paddles at 100 degree or so, which improves thr

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:

Improvised a marble elevator with some lego technique and regular legos, for a l

Improvised a marble elevator with some lego technique and regular legos, for a lego duplos marble run we had around.

www.youtube.com/watch?v=71gn... A few weeks ago I talked with the SF ACM SIGGRA

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!

For those who didn't peep the comments, f(x) is: ∣x∣ˣ or in code pow( abs(x),

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.

Nope! Even if you adjusted the exponential exp( 3(x-1)/2 ) and the gaussian 1.3*

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.

No. But if you try synthetizing it, you'd probably want to replace the sine with

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.

Oh wow, very nice try! But it's even simpler than that.

Oh wow, very nice try! But it's even simpler than that.

Nope. But the feature you detected on the right side is a good clue indeed.

Nope. But the feature you detected on the right side is a good clue indeed.

No, it's even simpler.

No, it's even simpler.

Let's play a game of "Can You Guess the Function?" hint - it's way shorter than

Let's play a game of "Can You Guess the Function?" hint - it's way shorter than you're probably thinking

I'll be talking about SDFs and creative workflows tomorrow, hosted by the SIGGRP

I'll be talking about SDFs and creative workflows tomorrow, hosted by the SIGGRPAH San Francisco Chapter - please sing up here before they close registration tomorrow noon. www.eventbrite.com/e/unlocking-...

We did no ipads/screens for our kid till age 8. Now it's 1.5 hours a week IF cre

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.

We found a Julia set during our hike #mathematics

I made a 3D character in Desmos #maths #math #art https://www.desmos.com/3d/bf9eb90140

A character made of only 11 equations. Link: https://www.desmos.com/3d/bf9eb90140

Some degree-4 surfaces #maths #mathematics #maths

Exploring triangles of equal area and perimeter #maths #math #mathematics

Solving quadratic equations WITHOUT square roots. #maths #math #mathematics

A simple formula to create beautiful color palettes #maths #math

Ordering pixels with a Hilbert curve #maths #math #mathematics

A series of simple quadric surfaces #maths #mathematics

Accelerating with smoothstep() velocity #maths #mathematics

Hidden intersections #mathematics #maths #complexnumbers

I drew a retro cityscape with #mathematics

Make pictures look like The Matrix movie with #maths

#maths #mathematics #computerscience

How to smoothly mirror a function #mathematics #maths #math

I painted a Landscape with Mathematics

Today we are painting a landscape using #maths Support this channel: https://www.patreon.com/inigoquilez This is the link to the real-time rendering code (that you can edit yourself live) for the painting: https://www.shadertoy.com/view/4ttSWf Music by Bent Stamnes (https://twitter.com/gloom303). Donate: https://www.paypal.com/paypalme/SMOOTHSTEPLLC Subscribe: https://www.youtube.com/c/inigoquilez Support: https://www.patreon.com/inigoquilez Twitter: https://twitter.com/iquilezles Facebook: https://www.facebook.com/inigo.quilez 0:00 Intro 0:48 Basic Polynomial Surface (Noise) 4:12 Fractal

4000 Years Old Multiplication Trick

A four thousand years old way of multiplying numbers that you've never seen before! Support this channel: https://www.patreon.com/inigoquilez Support: https://www.patreon.com/inigoquilez Donate: https://www.paypal.com/paypalme/SMOOTHSTEPLLC Subscribe: https://www.youtube.com/c/inigoquilez Follow: https://twitter.com/iquilezles Follow: https://www.facebook.com/inigo.quilez Music by Bent Stamnes (https://twitter.com/gloom303)