User:Asf

This page is going to be a collection of problems (without solutions from me yet) from a math circle that I go to because I don't know where else to put them.

January 27, 2011

1. Place 4 points on the plane in such a way that every triangle with vertices at these 4 points is isosceles. Could you do the same with 5 points? More than 5 points?

2. Plot 2 points A and B a distance 2 units apart (choose your own unit length). (a) Place 6 points in such a way that for every point