numbers of squares with any possible area chosen from 12 labeled points
Source: Irmo 2013 p2 q7
September 15, 2018
combinatoricscombinatorial geometry
Problem Statement
Consider the collection of different squares which may be formed by sets of four points chosen from the labelled
points in the diagram on the right. For each possible area such a square may have, determine the number of squares which have this area. Make sure to explain why your list is complete.
https://cdn.artofproblemsolving.com/attachments/b/a/faf00c2faa7b949ab2894942f8bd99505543e8.png