Mandelbulb (raymarched SDF) Inigo Quilez 2009-11-24 | A render of the Mandelbulb fractal with polynomial formulas instead of trigonometric. More info here: iquilezles.org/articles/mandelbulb
Where did my intersections go? Inigo Quilez 2023-06-04 | When a line intersects a circle, or a ray a sphere, there are _always_ two intersection points. You just need to know where to look. Realtime demonstration and source code: shadertoy.com/view/Dt3SDH
Painting a Landscape with Maths Inigo Quilez 2022-04-10 | Today we are painting a landscape using mathematics.Support this channel: patreon.com/inigoquilezBuy this painting in a metal, canvas or photographic paper print: redbubble.com/shop/ap/39843511This is the link to the real-time rendering code (that you can edit yourself live) for the painting: shadertoy.com/view/4ttSWfMusic by Bent Stamnes (twitter.com/gloom303).Donate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez0:00 Intro0:48 Basic Polynomial Surface (Noise)4:12 Fractal Surface (FBM)6:28 Key Lighting9:15 Atmospheric Coloring11:00 Composition and Cliffs12:28 Light Direction13:53 Sky15:42 Fill Lighting17:42 Grass18:31 Tree Sculpting23:53 A Story of Painting with Maths professionally24:52 Tree Lighting and Coloring29:48 Highlights32:05 Color Touchups34:48 Clouds40:32 ConclusionRelated articles I wrote:* Fractal Noise Summation, also known as FBM: iquilezles.org/articles/fbm* Raymarching terrains: iquilezles.org/articles/terrainmarching* Rendering SDFs: iquilezles.org/articles/raymarchingdf* Derivatives of Noise: iquilezles.org/articles/morenoise* SDF of an Ellipsoid: iquilezles.org/articles/ellipsoids* SDF Gradient: iquilezles.org/articles/normalsSDF* Soft Shadows: iquilezles.org/articles/rmshadows
4000 Years Old Multiplication Trick Inigo Quilez 2021-08-21 | A four thousand years old way of multiplying numbers that you've never seen before!Support this channel: patreon.com/inigoquilezSupport: patreon.com/inigoquilezDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezFollow: twitter.com/iquilezlesFollow: facebook.com/inigo.quilezMusic by Bent Stamnes (twitter.com/gloom303)
Painting a Character with Maths Inigo Quilez 2020-11-28 | Today we are painting a cartoon character using mathematics.Support this channel by subscribing or joining my Patreon: patreon.com/inigoquilezThis is the link to the real-time rendering code (that you can edit yourself live) for the painting: shadertoy.com/view/WsSBzh Links I mentioned in the video I'd leave here:* Raymarching: iquilezles.org/articles/raymarchingdf* SDF of a Line Segment: youtube.com/watch?v=PMltMdi1Wzg* Smoothstep: youtu.be/bdICU2uvOdU?t=3423* SDF of a Rounded Box: youtube.com/watch?v=62-pRVZuS5cDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez0:00 Sculpting basic shape3:45 Blocking basic lighting6:20 Sculpting face8:50 Painting face colors11:38 Eyes12:55 Face animation14:58 Hair16:15 Makeup17:00 Hoodie18:42 Background19:46 Bridge20:58 Trees22:22 Finishing23:21 ConclusionMusic by Bent Stamnes (twitter.com/gloom303)
Geodes - 3D Julia set fractals Inigo Quilez 2020-06-24 | Some cubic quaternions Julia sets, cut in half so we can see their beautiful interior.Support this channel: patreon.com/inigoquilezDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezYou can buy a metal print of one of the fractals in this video here: redbubble.com/i/metal-print/Geodes-1-by-InigoQuilez/54981349.0JXQPTutorials on maths, fractals, art and computer graphics: http://iquilezles.orgDistance to the M/J set: iquilezles.org/articles/distancefractalsOrbit Trapping in 3D: iquilezles.org/articles/orbittraps3dOrbit Trapping in 2D: iquilezles.org/articles/ftrapsgeometricRendering 3D julia set: iquilezles.org/articles/juliasets3dSource code for the intro fractals:3D: shadertoy.com/view/3tsyzl2D: shadertoy.com/view/3llyzl
Live Coding Greek Temple Inigo Quilez 2020-04-05 | LIVE streamed deconstruction of the "Greek Temple" mathematical image and animation.Please support this channel by subscribing, and by becoming a Patreon: patreon.com/inigoquilez. You can also buy a metal print of the drawing here: redbubble.com/i/metal-print/Greek-Temple-by-InigoQuilez/39845587.0JXQPThese are all the coding checkpoints I used during the stream, which you can use if it becomes difficult to follow the progress of the code in the stream:Step 1: shadertoy.com/view/wsVSRdStep 2: shadertoy.com/view/tdKXRdStep 3: shadertoy.com/view/wdKXRdStep 4: shadertoy.com/view/wdVXRdStep 5: shadertoy.com/view/tsVXRdStep 6: shadertoy.com/view/wdKSzdFinal: shadertoy.com/view/ldScDhDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezMy tutorials on math , art, SDFs and computer graphics are here: http://iquilezles.org
Live Coding Sphere Gears - Part 2 Inigo Quilez 2020-03-30 | LIVE streamed deconstruction of the "Sphere Gears" mathematical image and animation, PART 2.Support this channel by subscribing and on Patreon: patreon.com/inigoquilezThese are all the checkpoints I used during the stream, which you can use if it becomes difficult to follow the progress of the code in the stream:Step 6: shadertoy.com/view/td3GDfStep 7: shadertoy.com/view/wsscznStep 8: shadertoy.com/view/wdlyRrFinal: shadertoy.com/view/tt2XzGPART1 is here: youtube.com/watch?v=sl9x19EnKngTutorials on maths , art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
Live Coding Sphere Gears - Part 1 Inigo Quilez 2020-03-22 | LIVE streamed deconstruction of the "Sphere Gears" mathematical image and animation, PART 1.Support this channel by subscribing and on Patreon: patreon.com/inigoquilez and click the bell to get notifications on new videos!The final piece is here: shadertoy.com/view/tt2XzGAnd these are all the coding checkpoints I used during the stream, which you can use if it becomes difficult to follow the progress of the code in the stream:Step 1: shadertoy.com/view/ws3GD2Step 2: shadertoy.com/view/wdcGD2Step 3: shadertoy.com/view/td3GDXStep 4: shadertoy.com/view/wd33DXStep 5: shadertoy.com/view/tdc3DXTutorials on maths, art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
Charting Quadratic Equations Inigo Quilez 2020-03-06 | I toyed with designing a 2D chart to categorized all possible quadratic equations.Support this channel: patreon.com/inigoquilezTutorials on maths, art and computer graphics: http://iquilezles.orgLive code for the quadratic chart: shadertoy.com/view/tdKSRRDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
The SDF of a Line Segment Inigo Quilez 2020-01-09 | How to derive formula of the SDF of a Line Segment, a common shape in procedural modeling.Support this channel: patreon.com/inigoquilezTutorials on maths , art, SDFs and computer graphics: http://iquilezles.org. The article that includes information about the Elongation operator is here (half way down the article): iquilezles.org/articles/distfunctionsDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezSoundtrack by Khrome: facebook.com/KhromeMusic0:00 Introduction0:32 Math derivation5:38 Implementation6:12 Interpretation as Elongation 6:53 End
Rounding Corners in SDFs Inigo Quilez 2019-11-01 | The maths behind rounding procedural shapes with SDFs. Support this channel: patreon.com/inigoquilezTutorials on maths , art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezSoundtrack by Khrome: facebook.com/KhromeMusic
The SDF of a Box Inigo Quilez 2019-10-10 | How to derive formula of the SDF of a Box, a common shape in procedural modeling.Support this channel: patreon.com/inigoquilezTutorials on maths , art, SDFs and computer graphics: iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezSoundtrack by Khrome: facebook.com/KhromeMusic
Painting with Maths in Google Sheets Inigo Quilez 2019-09-17 | Painting a cute little flower with mathematical formulas in Google Sheets.Support this channel by subscribing or on Patreon: patreon.com/inigoquilezGoogle Document with the flower: docs.google.com/spreadsheets/d/1zPtl4DpFRb-RANetrK4RrgSH-nuttDo6FdSgNiViKic/edit?usp=sharingTutorials on maths , art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezSoundtrack by Khrome: facebook.com/KhromeMusic
LIVE Coding Happy Jumping Inigo Quilez 2019-08-14 | LIVE stream (6 hours!) deconstructing the "Happy Jumping" mathematical animationSupport this channel: patreon.com/inigoquilezSource code: shadertoy.com/view/3lsSzf. These are all the checkpoints I used during the stream, which you can use if it becomes difficult to follow the progress of the code in the stream:Step 1: shadertoy.com/view/Wl2SRwStep 2: shadertoy.com/view/3ljSzwStep 3: shadertoy.com/view/ttjXDzStep 4: shadertoy.com/view/tljSDzFinal: shadertoy.com/view/3lsSzfYou can buy a metal print of this mathematical animation here: redbubble.com/i/metal-print/Happy-Jumping-by-InigoQuilez/43594745.0JXQPMore about this LIVE stream: patreon.com/posts/live-stream-and-28954388Tutorials on math , art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
Making a heart with Maths Inigo Quilez 2017-02-24 | How to create a simple heart with mathematics.Support this channel: patreon.com/inigoquilezCode and real-time version: shadertoy.com/view/4lK3RcTutorials on maths , art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
The Collatz Conjecture and Fractals Inigo Quilez 2016-09-14 | Visualizing the dynamics of the Collatz Conjecture though fractal self-similarity.Support this channel: patreon.com/inigoquilezTutorials on maths and computer graphics: iquilezles.orgCode for this video: shadertoy.com/view/llcGDSDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
x^y = y^x Inigo Quilez 2016-07-10 | Which pair of numbers x and y do satisfy x^y = y^x? Support this channel: patreon.com/inigoquilezTutorials on maths, art and computer graphics: iquilezles.orgCode for this video: shadertoy.com/view/XdySR3.Donate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
This Mandelbulb fractal is real! Inigo Quilez 2015-09-19 | A fractal just grew from my desk! Testing my Shadertoy plugin for After Effects ^_^
The basics of Painting with Maths Inigo Quilez 2014-07-14 | LIVE tutorial on the basics of Painting with Mathematics. Source code/math for the painting here: shadertoy.com/view/XssSRXSupport this channel: patreon.com/inigoquilezMore tutorials on maths , art, SDFs and computer graphics: iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
Painting an Eye with Maths Inigo Quilez 2012-07-09 | LIVE coding an eye ball.Support this channel: patreon.com/inigoquilezTutorials on maths , art, SDFs and computer graphics: http://iquilezles.orgSource code for the eyeball: shadertoy.com/view/lsfGRrDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
Painting an apple with Maths Inigo Quilez 2011-12-15 | LIVE coding a mathematical/procedural apple with SDFs.Support this channel: patreon.com/inigoquilezTutorials on maths , art, SDFs and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilez
Writing a basic raytracer Inigo Quilez 2011-07-21 | LIVE coding a simple raytracer, without error messaging...Support this channel: patreon.com/inigoquilezTutorials on maths , art and computer graphics: http://iquilezles.orgDonate: http://paypal.me/inigoquilezSubscribe: youtube.com/c/inigoquilezSupport: patreon.com/inigoquilezTwitter: twitter.com/iquilezlesFacebook: facebook.com/inigo.quilezMusic by Terminal Sound System
Making music with maths Inigo Quilez 2011-07-12 | How to make some basic music with maths.Support this channel: patreon.com/inigoquilezThis videos shows some realtime capture of me typing some formulas to create sounds. As I type the formulas, the graph changes, and so do the sounds generated by them. Right next to the regular PC keyboard that I use to type the maths, I have a MIDI piano keyboard that sends some commands to trigger the formulas with different values for "w" (the "frequency", usually in most of the formulas). That way I can play small melodies as I tweak my mathematical sounds. Of course many varied types of sound can be created this way, although in this video I only show two.More info at http://www.iquilezles.org
Live Coding Improv Inigo Quilez 2011-04-25 | Testing a OpenGL text editor for shader live coding sessions that I wrote in 2011. Here I improvised a Julia set and some plane deformations. The visuals react to the music (which I was streaming from the internet while coding - "Minimal Brol" by Chamylia/SamForce).If you want to support me, this is my Patreon: patreon.com/inigoquilez
real pixel coding Inigo Quilez 2011-04-11 | This is an example how little it takes to write a real-time animation effect (a textured tunnel in this case). 224 bytes are enough. Therefore, open photoshop, draw some pixels, save the image, rename it to as an executable, and let the x86 CPU execute it as native code. Et voila, an oldschool animation!More info here: iquilezles.org/blog/?p=1426If you want to support me, this is my Patreon: patreon.com/inigoquilez
Raymarching a mathematical terrain Inigo Quilez 2008-04-28 | An experiment on procedural terrain generation, using only maths, and on rendering through raymarching. Written in C in 2008 and compiled to a 4 kilobytes executable.Tutorial on terrain raymarching: iquilezles.org/articles/terrainmarchingTutorial on procedural noise: iquilezles.org/articles/morenoiseMore tutorials at iquilezles.org
