🧮 Avalanche Recursion Equations

“Coming down the mountain like an avalanche.”

Recursive Descent Model#

Let:

• ( A_n ) be the avalanche amplitude at step ( n )
• ( D_n ) be the descent depth

Then:

[ A_{n+1} = \mu \cdot D_n + \nu \cdot A_n^2 ]

[ D_{n+1} = \lambda \cdot A_n + \theta \cdot D_n ]

Where ( \mu, \nu, \lambda, \theta \in \mathbb{R} ) are descent coefficients.

Mythic Cascade Function#

[ C_n = \sum_{i=1}^{n} \left( \frac{A_i \cdot D_i}{\sqrt{i}} \right) ]

This models symbolic descent through recursive terrain.