Dudeney's Property of 2592/Historical Note

This result is generally attributed to Henry Ernest Dudeney, who stated it in his $1917$ book Amusements in Mathematics.
The name Dudeney's Property of 2592 has hence been coined by $\mathsf{Pr} \infty \mathsf{fWiki}$, as a convenient shorthand for what would otherwise be tediously unwieldy.