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Euler Bricks and Perfect Polyhedra

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Author:Ivars Peterson (MathTrek)
Description: "In the October Mathematics Magazine, Blake E. Peterson of Brigham Young University in Provo, Utah, and James H. Jordan of Washington State University in Pullman draw attention to perfect boxes and polyhedra. Their starting point is the problem of finding a rectangular box with integer dimensions and all diagonals of integer length. Such a figure is known as a perfect box. Whether it exists is an unsolved problem. Leonhard Euler (1707-1783) described the smallest solution for the special case when the sides and face diagonals are all integers, but not the space diagonal passing through the box's center from one corner to its opposite..."

Levels: High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: Polyhedra, Number Theory

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