My latest column for quanta magazine is about the power of creative thinking in mathematics, and how understanding problems from different perspectives can lead us to surprising new conclusions. it starts with one of my all time favorite problems: say you’re at a party with nine other people and everyone shakes everyone else’s hand exactly. Varignon’s theorem. published by mrhonner on august 9, 2016. varignon’s theorem is one of my favorite results in elementary geometry: connect the adjacent midpoints of the four sides of any quadrilateral, and a parallelogram is formed! it is a magical result that defies expectations, and it’s so much fun to play around with, explore, and.
Fun with a favorite triangle. published by patrick honner on august 25, 2011. in a post examining the quality of new york state math regents exams, i considered the following problem from the 2011 algebra 2 trigonometry exam: i n triangle abc, we have a = 15, b = 14, and c = 13. find the measure of angle c. December 16, 2011 patrick honner leave a comment go to comments here is one approach to answering the quadrilateral challenge posed earlier this week. in summary, the challenge was to prove or disprove the following statement: a quadrilateral with a pair of congruent opposite sides and a pair of congruent opposite angles is a parallelogram . October 12, 2011 patrick honner leave a comment go to comments a surprising amount of interest was generated by my question “ which triangle is more equilateral ?” with the passing of consecutive isosceles triangle days , i wondered: which triangle was more equilateral, the 10 10 11 triangle, or the 10 11 11 triangle?. This video demonstrates the original odhner mechanical calculator. it looks like a miniature typewriter, and it seems to operate in the same manner as the curta mechanical calculator: switches all….
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