/sci/ - Science & Math

>>11043905

[math]
\text{Let }B\text{ be a set of more than }2^{n+1}/n\text{ distinct points with coordinates of the}
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\text{form }(\pm 1,\pm 1,\ldots,\pm 1)\text{ in }n\text{-dimensional space with }n\geq 3\text{. Show that there are}
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\text{three distinct points in }B\text{ which are the vertices of an equilateral triangle.}
[/math]