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Define an alternating rectangle \(R_A\) to be a set consisting of four cells with alternating digits that occupy exactly two rows, two columns and two subgrids. As shown below, there ...

Consider three regular polygons adjacent to each other. As shown below, it is possible to completely cover \(360^{\circ}\) of space with the adjacent vertices and edges.

Is it possible ...

The lower left edge of a cube has two opposite faces (the top and rightmost) with which it doesn't share a vertex. This is also true for the other ...

This problem is inspired by the Problem of the Week.

A closed glass, shaped of a unit cube, consists of water \(\frac{1}{6}\) filled. It is known that if ...

Max's cell phone currently has exactly 10% of battery life left. He knows that it takes 2 hours to fully charge it from there.

After the charge begins, when ...

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