This is similar to Zeno's paradox of Achilles and the tortoise: http://en.wikipedia.org/wiki/Zenos_paradoxes#Achilles_and_the_tortoise http://en.wikipedia.org/w

This is similar to Zeno's paradox of Achilles and the tortoise: http://en.wikipedia.org/wiki/Zenos_paradoxes#Achilles_and_the_tortoise http://en.wikipedia.org/wiki/Zenos_paradoxes#Achilles_and_th... The paradox lies in "infinity" and "never". Achilles will overtake the tortoise when he's one atom away from the tortoise, and similarly at one point your corner removal will reach the atom level, where you can no longer reduce it and maintain a square shape. At atom level, when your squares consist of three atoms in a L pattern, you can't reduce it further without distorting the squares Assuming, of course, that atoms are the smallest particles.