MathDB
Miklós Schweitzer 1959- Problem 8

Source:

November 8, 2015
college contests

Problem Statement

8. An Oblique lattice-cubs is a lattice-cube of the three-dimensional fundamental lattice no edge of which is perpendicular to any coordinate axis. Prove that for any integer h=8n−1h= 8n-1 (n=1,2,…n= 1, 2, \dots ) there existis an oblique lattice-cube with edges of length hh. Propose a method for finding such a cube. (N. 20)
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