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Monthly Archives: June 2022
What ? In complex numbers Fermat’s last theorem doesn’t always hold !!!
Posted in Algebra, Famous Problem, Number Theory
Tagged Honsberger, Mathematical Morsels
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Professor Stewart’s cabinet of mathematical curiosities by Ian Stewart
I found this book at Morris Library and it became a favorite right then and there. Connecting box problem
Posted in Book Notes, Book Review
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The art and craft of problem solving by Paul Zeitz
I got introduced to Paul Zeitz through his great course lectures. The book is very well written. There are number of problems I got introduced by him like Census taker
Geometry problem on overlapping percentage between circle and square
The key insight in this problem is angle in a semicircle is 90 and since its a square the two segment areas will be same resulting in an isosceles right triangle. Here is a geogebra link
Pointillism problem
If every point on the plane is colored either red, green or blue. Are there necessarily at least two pts of the same color that are 1 unit apart ?
Posted in Logic, Proof by Construction, Puzzle
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