Which is greater: ${\mathbf{e}}^{\mathbf{\pi }}$ or ${\mathbf{\pi }}^{\mathbf{e}}$? An unorthodox solution to a classic puzzle

Andrés Vallejo, Italo Bove

The question of the title is a famous puzzle in the field of recreational mathematics, and can be addressed by several approaches. A compilation of solutions, some of them very ing…