Parametric Creature vs Vector Field

Cohesion, Alignment, Separation... In this work, more than 15k particles of three types wander around the screen, each controlled by eight different parameters, together forming a complex and interesting bionic system. In nature, many life forms are like this system, evolving complex group behavior from individual simple rules. From small cell division and ant pathfinding, to large crowds gathering and dispersing and bird migration. Advanced GPU parallel algorithms based on the theory of complex systems are used to make this large-scale real-time simulation possible, allowing users to adjust parameters by adjusting knobs to explore the metaphor of life and biodiversity in the work.

Vector Field lets you create and visualize mathematical vector fields with thousands of animated particles. Enter your own equations, adjust the simulation instantly, and watch how particles move through 2D, 3D, or spherical spaces. Whether you are studying differential equations, experimenting with dynamical systems, teaching vector calculus, or simply exploring mathematical patterns, Vector Field turns equations into interactive motion. Features: • Visualize vector fields in 2D, 3D, and on a sphere • Define custom dx, dy, and dz equations using x, y, z, and time t • Use built-in function presets or save your own • Adjust particle speed, density, lifetime, colors, and ranges • Animate time-dependent fields • Normalize vectors to focus on direction • Rotate 3D views interactively • Powered by Metal for smooth real-time rendering • Create, tweak, and discover vector fields directly from your device.