- #1
bedaone
- 2
- 0
I haven't made any real calculations on this, just thought a bit in my head...
Assume a square with side 1, meaning the diagonal would be 1.41.
The distance between 2 corners if moving along the edges is of course 2.
Now starting in upper left corner let's move
0.5 in x
-0.5 in y
0.5 in x
-0.5 in y
forming a staircase to lower right. Still total distance 2, right?
Dividing this into smaller steps, i.e. lim x,y -> 0, the distance would always be 2, even when the steps are in fact forming a diagonal.
Obvioulsy I am making some error in my thoughts, but i can't figure out what...
Assume a square with side 1, meaning the diagonal would be 1.41.
The distance between 2 corners if moving along the edges is of course 2.
Now starting in upper left corner let's move
0.5 in x
-0.5 in y
0.5 in x
-0.5 in y
forming a staircase to lower right. Still total distance 2, right?
Dividing this into smaller steps, i.e. lim x,y -> 0, the distance would always be 2, even when the steps are in fact forming a diagonal.
Obvioulsy I am making some error in my thoughts, but i can't figure out what...