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Things Impossible

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Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: Essays on impossible things, including trisecting an angle, doubling a cube, squaring a circle, moving pegs five places in one direction (via checker-jumps), finding the center of a given circle with the straightedge alone, representing the square root of 2 as a rational fraction p/q, and creating a machine that would tell for every statement whether it's true or false. There are also a pair of items demonstrating surprisingly possible things!

Levels: Middle School (6-8), High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles, Web Interactive/Java
Math Topics: Constructions, Triangles and Other Polygons, Logic/Foundations, Number Theory

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