The staircase paradox proves you can't always trust your limits

Draw a diagonal line across a unit square. Its length is √2, roughly 1.414. Now approximate that diagonal with a staircase of tiny horizontal and vertical steps. Each staircase has a length of 2 — one unit right, one unit up. — Read the rest The post The staircase paradox proves you can't always trust your limits appeared first on Boing Boing.