The aging curves
All five curves operate on normalised time t ∈ [0,1]. The function f(t) ∈ [0,1] describes the cumulative fraction of tokens unlocked at a given moment.
Linear: f(t) = t. A steady pour across the entire term.
Cliff: f(t) = 0 for t < c, then (t − c) / (1 − c). The cask stays sealed until the cliff, then releases in a straight line.
Logarithmic: f(t) = ln(1 + t · (e − 1)). Fast early, slow late.
S-Curve: normalised sigmoid 1 / (1 + exp(−k · (t − 0.5))). Slow start, accelerated middle, gentle finish.
Exponential: f(t) = t^n, n ≥ 2. The cask holds back until the very end.
