
06404263
j
2015b.00639
Stephenson, Paul
Euler's brick.
SYMmetryplus 2014, No. 55, 25 (2014).
2014
Mathematical Association (MA), Leicester
EN
F60
G40
G70
Euler bricks
edge perfect bricks
diagonally perfect bricks
Pythagorean quadruples
Diophantine equations
parametric equations
Pythagorean triples
sums of squares
cuboids
solid geometry
integral length
diagonals
triangles
perfect bricks
From the text: The best known chair in mathematics at Cambridge is the Lucasian. Newton was the second holder of the post, Stephen Hawking the most recent. The fourth was a man blind from infancy called Nicholas Saunderson. A problem which intrigued people in the eighteenth century is named after its most distinguished student, Euler, but Saunderson laid the groundwork, as we shall see. The problem is to find a cuboid where both the edges and the face diagonals are integral.