Painting a Landscape with Maths

Today we are painting a landscape using mathematics. Support this channel: Buy this painting in a metal, canvas or photographic paper print: This is the link to the real-time rendering code (that you can edit yourself live) for the painting: Music by Bent Stamnes (). Donate: Subscribe: Support: Twitter: Facebook: 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: * Raymarching terrains: * Rendering SDFs: * Derivatives of Noise: * SDF of an Ellipsoid: * SDF Gradient: * Soft Shadows: