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Mathematics helps develop definitions to compare different means to make something better or more fair. But there are inherent limitations, expressed as mathematical impossibility theorems... Impossible? Joe Malkevitch York College (CUNY) Introduction When you got up from sleeping last night, what were the possibilities that you could achieve in theRead More →

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A remarkable theorem involving decompositions is that if one has two plane simple polygons of the same area, it is possible to decompose either of the polygons into polygonal pieces that can be reassembled to form the other polygon… Geometric Decompositions Joe Malkevitch York College (CUNY) Introduction When looking atRead More →

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Points, Lines, and Incidences To honor Mathematics and Statistics Awareness Month, I will treat some remarkable developments concerning a basic intuitive idea in geometry concerning points and lines. … Joseph Malkevitch York College (CUNY Introduction When people think about mathematics they think of numbers and shapes. Numbers covers the interestRead More →