.———.

.———.

Ok see that? That would be a square, with four points.

1.——-2.

3.——-4.

Better? Ok so now that we have the points…er…pointed out, think about this for a second. When you draw a line, like so
__________
You have a beginning, and an end. Point 1 and point 2, right?
1________2
So, what happens when you start at point 1, run to point 2, then run back to point one? It would look something like this.
1.______________2._____________1.
Start>>>>>>>>>>>>>>>End>>>>>>>>>>>>>>>>Start
Now, when counting these points, Start being the beginning point, End being the ending, or turn around point, you would count it as such;
1_______________2______________3
Start>>>>>>>>>>>>>>>End>>>>>>>>>>>>>>>>Start
1 being the start of your race, 2 being your turn around point, 3 being the Start/Finish line, correct? Take a look at that square again with the same principle that I have just explained to you.

A Square:
.———.

.———.

Has 4 Points, counting top left clockwise:
1.——–2.

4.——–3.

Now that same square has 4 sides, correct? 1—2, 2—3, 3—4, 4—???

How does the 4th point connect back with point 1, without making a 5th point in itself? Go ahead, draw 4 points on a piece of paper. Now, starting from point 1, connect the dots to make the sides of your square, counting them as you go, like this;

1——–2——–3——–4——–1
—line——line—–line——line

In order to make the 4th side, you have to connect back with the dot in which you started from. It is physically impossible to just not connect point 4 and 1 together in order to make the square complete. It is also impossible to just start drawing the line from point one, not actually counting it, like so;

0——–1——–2——–3———4
—line——line—–line——line

That would be completely absurd, seeing as you cannot NOT have a starting point to begin the shape. This can be done with any shape ever known in Mathematics.

Think about it, and maybe you can shed some light onto this most puzzling matter for me.