A jigsaw puzzle starts solved (low entropy). Random swaps drive it toward maximum disorder. Watch Shannon entropy grow, illustrating the Second Law of Thermodynamics.
Positional entropy H(pos)
0.00 bits / — max
Disorder fraction
0% misplaced tiles
S = −k Σ pᵢ log pᵢ (Shannon entropy)
Max entropy = log₂(N!) for N tiles.
Time-reversal: we'd need to know ALL velocities exactly — impossible without perfect information.