Solution to Your Daily Epsilon Math [Jun 4, 2024]
This is a solution to the daily problem posted by Your Daily Epsilon of Math (@Daily_Epsilon) on Jun 4, 2024.
Question: What is the maximum number of lattice points that can be contained within a circle of radius 1?
Context:
a lattice point is a point in the coordinate system with integer coordinates
this problem previously appeared at the 2002 Harvard-MIT Mathematics Tournament (HMMT) which is one of the most prestigious high school math competitions in the US
@Daily_Epsilon posts Math problems of varying difficulty daily. The answer to the question is the date, e.g. answer for Jun 4 would be 4.
My solution is highly inspired by the solution from the HMMT tournament: https://hmmt-archive.s3.amazonaws.com...
View original post here:
https://x.com/Daily_Epsilon/status/17...
#Math #Algebra #HMMT #latticepoints #mathcontests #matholympiad #mathwizard #mathtricks
Background Music:
Hopeful Freedom/Recollections/Closing of Summer by Asher Fulero
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