Question from the fifth class: imagine a square quarter of 1 × 1 km with streets in squares and you need to walk from the SW corner to the NE corner. Whether you walk around the perimeter or zigzag through the streets, you will walk the same distance. And it will be the same (at an area of 1 × 1 km), even though there will be villas instead of houses, tents instead of villas, graves instead of tents and finally cupcakes. You probably know that I'm heading not only to the NE corner, but also to the question of when the way inside will become the hypotenuse of the triangle and therefore it will be almost a third shorter out of nowhere. Don't scare me with limits, because there is a difference: the perimeter of the polygon is constantly approaching the circumscribed circle with the number of vertices. Even the Achilles (albeit smaller and smaller pieces) are catching up with the turtle. But here it is still 2 and suddenly 1,414.