Three horizontal or three vertical lines.I'm helping my son with his homework and I'm stumped. He is supposed to split a square into 4 equal parts. We've split it vertically/horizontally and we've split it diagonally. How else can you split a square into 4 equal pieces?
Yeah, the key is to "think outside the box" and realize that the "equal pieces" don't have to be square, too...Jeebus guy - just use a google search. Sounds like you and your son are 2 peas in a pod. Just try even a little ...
http://mathematicsrealm.blogspot.com/2012/06/how-to-divide-square.html
Don't spoil the fun....You have to split a square into 4 equal parts. You don't have to split a square into 4 equal parts 4 different ways.
Infinite number of ways to do this with 2 lines.The problem becomes more interesting if you require the four regions to be congruent.
Two perpendicular lines that intersect at the center seems sort of plain. Sure, there's an infinite number of possibilities and their all congruent, but there are also an infinite number of ways that produce cooler looking stuff.Infinite number of ways to do this with 2 lines.The problem becomes more interesting if you require the four regions to be congruent.