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In a four-corner-pocket rectangular table, it is possible to deposit two balls simultaneously into the same corner pocket (as shown above). The diagram shows that one of the balls bounces ...

It is possible to arrange four copies of an equilateral triangle to cover an equilateral triangle with twice its side length. The same holds for a square:

However, doing the ...

Magnus, Garry, and Fabiano are playing in an exhibition badminton event. In this exhibition, after two players face off for a set, the winner of the set stays on the ...

\[\Large \lim_{\substack{x \to 0^+ \\ y \to 0^+}}{\frac{x^{y^x}-x^{y^2}}{y^x}}=\,?\]

Does there exist an octagon (not necessarily convex) which can tessellate the plane?

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