Hello everyone. My name is Keivan Mirzaei and I am a math student. This is a personal website with the intention of promoting and introducing math problems to a wide range of students and math enthusiasts. It is a fun activity of mine as I usually spend my free hours on thinking to math problems.
As a warm-up you can show that if the points of the plane are each colored red or green, then one of these colors contains pairs of points at every mutual distance.
You might be interested in evaluating
\[ \sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+\dots}}}} \]
or showing that at every party always two people have the same number of friends present.
Please feel free to contact me through my email keivan.mirzaei at outlook.com for suggesting interesting problems.