Found Application

Panel 1: (in the background: projective plane from comic 5) The mathematician: Remember the projective plane? Man: Why should I? Most of the math in this comic has no application. The mathematician: I found an application. Panel 2: The mathematician: In the game Chrono Trigger there are 7 characters, and each pair of characters has a dual attack. Since you control 3 characters at once, an obvious lower bound on the number of times you need to pick characters in order to use every dual techs is $\frac{\binom{7}{2}}{\binom{3}{2}=\frac{21}{3}=7$. Can you actually achieve this lower bound? Panel 3: Yes. The Fano Projective Plane tells you how it can be done. Each line is one party. (projective plane with normal lines instead of snakes and each node labeled with a character) Panel 4: Man: That doesn't quite work because Magus doesn't have any dual tech attacks. The mathematician: Close enough.

Chrono Trigger brought together the very best game designers from (at the time) rival companies. Truly a brilliant game that has aged pretty well.

Found Application

20 April 2007