You saw the basics of two dimensional polar graphing. Che asked if there was a way to graph in 3-d in polar form. There's a couple ways that you'll consider in Calc 3 in college, and there's a way you can think about it now. Some of you actually use this all the time.
First, in Calc 3, you'll be using integrals to find cylindrical coordinates or spherical coordinates. Cool stuff that you can see down the road. Have a look at the links.
But here's an idea for you that's a commonly used and known form of three dimensional polar graphing.
So look at this interesting form of three-dimensional graphing that we all have some familiarity with. After you look at it and consider it, then look at the task below (The following questions/ideas won't make sense if you haven't yet followed the link above headed "three dimensional polar graphing")
Your task in this blog:
1. Find the three-dimensional polar coordinates of some places that you've either visited or would like to visit. Find the coordinates of "home."
2. There are some lines called "meridians" -- or some lines that have some important significance. What are these and how are they used? Have you ever crossed any? What happened (if anything....)
3. Your choice. Find something interesting relating to this idea (and math) that you'd like to read and write about. Have fun.
