Contraction — T(x) : ||T(x)-T(y)|| < ||x-y||Tap to zoom

Contraction

T(x) : ||T(x)-T(y)|| < ||x-y||

A contraction mapping — every iteration brings all points closer together. The fixed point is inevitable.

Collapsing toward a point that cannot be avoided

Part of: SHAME

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Crumple — κ(s) → ∞ at fold lines

Crumple

κ(s) → ∞ at fold lines

Fold — f(x) = f(−x), x → 0

Fold

f(x) = f(−x), x → 0

Shrink — A(t) = A₀ · e^{-λt}

Shrink

A(t) = A₀ · e^{-λt}

Veil — f(x) = f(x) · (1 - g(x))

Veil

f(x) = f(x) · (1 - g(x))