Today we are painting a landscape using mathematics.
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Buy this painting in a metal, canvas or photographic paper print: https://www.redbubble.com/shop/ap/398...

This is the link to the realtime rendering code (that you can edit yourself live) for the painting: https://www.shadertoy.com/view/4ttSWf

Music by Bent Stamnes (  / gloom303  .

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0:00 Intro
0:48 Basic Polynomial Surface (Noise)
4:12 Fractal Surface (FBM)
6:28 Key Lighting
9:15 Atmospheric Coloring
11:00 Composition and Cliffs
12:28 Light Direction
13:53 Sky
15:42 Fill Lighting
17:42 Grass
18:31 Tree Sculpting
23:53 A Story of Painting with Maths professionally
24:52 Tree Lighting and Coloring
29:48 Highlights
32:05 Color Touchups
34:48 Clouds
40:32 Conclusion

Related articles I wrote:
* Fractal Noise Summation, also known as FBM: https://iquilezles.org/articles/fbm
* Raymarching terrains: https://iquilezles.org/articles/terra...
* Rendering SDFs: https://iquilezles.org/articles/rayma...
* Derivatives of Noise: https://iquilezles.org/articles/moren...
* SDF of an Ellipsoid: https://iquilezles.org/articles/ellip...
* SDF Gradient: https://iquilezles.org/articles/norma...
* Soft Shadows: https://iquilezles.org/articles/rmsha...