All Questions

A dissection of a polygon $P$ is a partition of $P$ into a finite number of pieces, which can then be rearranged (via planar translations and rotations) and joined (without overlap) to form a new ...

Let $\cal C = \lbrace C_i \rbrace$ be a collection of rectifiable curves in the plane with the property that every unit-length segment meets at least one curve in at least one point. Call such a ...

Which are the configrations $P\subset \mathbb{R}^2$ of points, such that the following property holds: Property M (for Monochromatic): Every two-coloring of $\mathbb{R}^2$ contains a monochromatic ...

Consider a plane with a square lattice formed by all points with both coordinates as integers. As can be easily seen, a simple parabola can be found that passes through infinitely many of the square ...