Flourish — γ(t) = (t·cos(t), t·sin(t), t²)

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Flourish

γ(t) = (t·cos(t), t·sin(t), t²)

A spiral expanding upward and outward — each revolution wider and higher than the last.

Each revolution wider and higher than the last

Part of: PRIDE

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Crown — r(θ) = 1 + ε·cos(nθ), n ≥ 5

Crown

r(θ) = 1 + ε·cos(nθ), n ≥ 5

Golden Ratio — φ = (1 + √5)/2 ≈ 1.618...

Golden Ratio

φ = (1 + √5)/2 ≈ 1.618...

$Spire — h(x) = H · (1 - |x/w|^p)^{1/p}$

Spire

h(x) = H · (1 - |x/w|^p)^{1/p}

$Unfurl — θ(t) = θ₀ + (π - θ₀)(1 - e^{-t/τ})$

Unfurl

θ(t) = θ₀ + (π - θ₀)(1 - e^{-t/τ})