Interactive visual
core
Quaternions
four numbers that rotate without gimbal lock
A unit quaternion stores a 3D rotation as an axis and half-angle. It composes cheaply, never gimbal-locks and slerps along the shortest arc.
Mathematics
The math under game code: rotations, interpolation and deterministic randomness.
3 cheat sheets · 3 subcategories
Rotations
Representing and blending orientation in 3D.
Interpolation
Turning linear progress into motion that feels right.
Interactive visual
core
Easing Functions
bend linear progress into motion with weight
An easing function remaps progress t from 0..1 so motion accelerates, decelerates, overshoots or bounces instead of moving at a robotic constant speed.
Procedural
Seeds, noise and reproducible generated worlds.
Interactive visual
common
Seeded Noise
same seed in, same world out, every time
A seeded PRNG plus gradient noise and fBm turns one integer into an endless, smooth, repeatable world: same seed, same terrain on every machine.