id: 06404263
dt: j
an: 2015b.00639
au: Stephenson, Paul
ti: Eulerâ€™s brick.
so: SYMmetryplus 2014, No. 55, 2-5 (2014).
py: 2014
pu: Mathematical Association (MA), Leicester
la: EN
cc: F60 G40 G70
ut: 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
ci:
li:
ab: 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.
rv: