Tinkerbell Map

At its core, the Tinkerbell map is a mathematical marvel that illustrates the interplay of chaos and order.
The equations that define the Tinkerbell map involve four parameters (a, b, c, and d), and they dictate
how a point in space evolves over discrete time steps:

xₙ₊₁ = xₙ² - yₙ² + axₙ - byₙ

yₙ₊₁ = 2xₙyₙ + cxₙ + dyₙ

These equations capture the intricate dance of chaos theory, where even the smallest variations in initial
conditions or parameters can lead to vastly different trajectories. The Tinkerbell map's unpredictability
is a hallmark of its chaotic nature.

This 3D exploration project delves into the heart of this mathematical phenomenon,
showcasing the Tinkerbell map's dynamic visualizations from various angles and scales,
bringing the chaos up a notch with dynamic particle systems and custom velocity fields.