Two maps that look nothing alike โ
one spirals, one folds,
one dances in circles,
one marches in rows.
But thread a lens between them
(a function, a translation, a shift in the light)
and suddenly: same fixed points,
same orbits, same flight.
h โ f = g โ h
The equation says:
it doesn't matter which world you're in
if you know how to translate.
Every dynamical system
is secretly every other one โ
wearing different coordinates
like costumes at a ball.
Strip the costumes.
The dance is the same.
The dance was always the same.