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That's an interesting number set. The set of all points that can be produced from a straight-edge and the grid of integers. I'm pretty sure this is just the gr
by rocqua 8y ago
That's an interesting number set. The set of all points that can be produced from a straight-edge and the grid of integers.
I'm pretty sure this is just the grid of rational numbers. Interestingly, this is a subset of the 'constructible' numbers. That is, the numbers that can be produced from a compass and straight-edge (without even needing a grid).
- joppy 8y agoIt’s not so surprising, since once you have a compass, straightedge, and a line segment you call “unit length”, you can construct all of the integer valued points in the plane.