00:04
All right, so it looks like you have a question here that i can see why you're a bit confused by it because i'm confused by it as well.
00:13
But i'm going to do my best to answer this.
00:16
So it looks like you've got it started here with this line.
00:21
Suppose that we begin at the equator on the left.
00:25
We walk straight north toward the north pole, thus we trace the blue line on the sphere.
00:30
So i assume this is what you've already done.
00:33
So you're up here at the north pole right now.
00:35
Now.
00:38
Now we wish to make a 90 degree right turn on the sphere and walk straight south.
00:49
Now here's where i get a bit confused and i tried to count up the lines going around this sphere.
00:56
It's a little difficult because it's so, there's so fine on the bottom here.
01:03
But i'm just thinking that this is 10, there's 36 of these lines.
01:09
If i count, if i count, correctly going around.
01:13
I'm looking at the south pole, which is below in the shadow, and i need to be able to count.
01:19
This is the only place where i can see an entire circular part of the sphere.
01:27
So it looks like there's 36 lines.
01:30
So that means that each of these lines is a 10 degree angle.
01:35
So i need to pick the 90 degree spot.
01:39
So i need to count 9 .01.
01:41
Two, three, four, five, six, seven, eight, nine.
01:48
That's right there.
01:49
Let me try this again.
01:51
I need to get a mark made here this time.
01:54
One, two, three, four, five, six, seven, eight, nine.
01:59
All right, that's right there.
02:02
Okay, so i moved up.
02:06
Here's where i'm confused.
02:08
I said i'm going to turn right 90 degrees.
02:11
It's going to take me to this.
02:14
This is hard because they're all so tight together right there.
02:19
But then i'm coming down like this.
02:23
And i'm trying to draw this with my mouse and just stop when i get to the equator.
02:27
So there's where i'm at.
02:33
And we walk straight south until we get back to the equator on figure four, draw this path.
02:38
Okay, so i've got that.
02:39
Once you get to the equator, i'm making one more right turn.
02:43
So i'm facing down this way.
02:46
And i want to make a right term, which is going to take me this direction on the equator.
02:54
Trace the path that you would take to get back to your starting position.
03:02
Well, i don't need to take.
03:03
Okay, so my path is going to go around the equator now.
03:07
Sorry, my drawing.
03:08
It's hard for me to use my mouse and stay straight.
03:14
Trying you.
03:15
Let me erase some of my mass here.
03:18
So basically, from what i can tell, is that we went up to the north pole, then a 90 degree turn at the north pole, which takes us going down this spot right here.
03:33
And then when we do another 90 degree turn, we're just going back along on the equator.
03:39
What is the minimum number of terms without going around the entire sphere that you must take to get back to your starting point? is that the number? this is where i got real confused when i tried to do this before i pressed record...