Plotting graphs in three dimension

Click For Summary
The discussion focuses on plotting parametric equations in three dimensions using functions for x and y based on the variable n. The user seeks guidance on how to create this graph using a computer or a TI-84 graphing calculator. It is suggested that exploring polar coordinates may simplify the plotting process, with specific equations provided. Additionally, using Excel to tabulate the values of x and y against n for a scatter plot is recommended. The conversation emphasizes the importance of understanding parametric equations for effective graphing.
24forChromium
Messages
155
Reaction score
7
I have function1: x = n(cos((pi/2)-2pi/n))
and function2: y = n(sin((pi/2)-2pi/n))

my goal is to plot a graph where for the same value of n, the x and y are respectively the horizontal and vertical component of the point, this graph should preferably possible to create on a computer or a graphing calculator like ti-84. Someone told me that this thing can be benefited from thinking in three dimensions, not sure what that means.
 
Mathematics news on Phys.org
I think those are parametric equations. I'm not sure how it works on ti-84, but if you search on YouTube how to plot parametric equations on ti-84, I'm more than certain you'll find something.
 
It might be easier to plot the curve in polar coordinates, which are:
r=n
theta=Pi/2 - 2Pi/n
 
upload_2015-12-7_7-9-46.png
 
24forChromium said:
Thanks a lot, how and where did you do this?
Excel. Tabulate x and y against n and ask for a "scatter plot".
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 0 ·
Replies
0
Views
620
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K