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The Hénon map xₙ₊₁ = 1 − axₙ² + yₙ, yₙ₊₁ = bxₙ is one of the simplest 2D maps
exhibiting a strange attractor — a fractal set with Hausdorff dimension ≈ 1.26 (at a = 1.4, b = 0.3).
Despite its simple quadratic rule, the attractor has self-similar structure at every scale.
The Basin Map mode colors each initial condition by whether it converges to the attractor
(blue) or escapes to infinity (dark), revealing fractal basin boundaries.