The Geometry of Noise
True randomness is chaotic—a "white noise" of static. But for games, we need Coherent Noise. Imagine a landscape where every point is related to its neighbor. This is the foundation of digital terrain, clouds, and textures.
Adjust the octaves and scale to see how simple gradients layer into complex terrain.
The Caves of Life
How do we create natural-looking cave systems? We use Cellular Automata. By applying simple rules repeatedly—like "if a pixel has more than 4 neighbors, it becomes a wall"—we can transform chaos into organic structures that mimic the carving of water or the growth of mold.
Watch how simple local rules emerge into a global structural network.
The Alchemy of Flora
Plants don't grow randomly; they follow recursive grammars. Lindenmayer Systems (L-Systems) use string replacement rules to simulate the branching patterns of trees, ferns, and coral. A single "seed" string grows into a complex, infinite fractal.
Each iteration applies a geometric rule to every branch, creating organic symmetry.
Wave Function Collapse
How do we build complex, rule-based levels like cities or dungeons? Wave Function Collapse (WFC) treats every tile as a "superposition" of possibilities. By observing (choosing) one tile, we force its neighbors to "collapse" into states that satisfy local constraints, creating a perfectly coherent world from a set of simple tiles.
Tiles are Grass, Water, Coast, and Road. Watch how choosing one tile propagates constraints across the grid.
The Architecture of Chaos
How do games like Doom or Rogue create balanced, structured dungeons? Binary Space Partitioning (BSP) recursively divides a large space into smaller "containers." By placing rooms within these leaf nodes and carving corridors to connect siblings, we generate layouts that feel intentional and organized rather than purely random.
Watch how the infinite void is carved into a hierarchy of rooms and corridors.