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Off-Topic Discussion => Arts & Talents => Topic started by: Rampage on April 12, 2003, 06:11:05 pm

Title: Mathematics Graphic Plot Competition
Post by: Rampage on April 12, 2003, 06:11:05 pm

Here are the rules:

Compose a mathematical model that creates a plot of points that link into a 2D curve or a 3D surface.  Whoever has the strangest curve/surface wins a... cookie! :D

With your picture, please also include the following information:

1. The fuction/implicit equation
2. Domain and Range of the function (Include bounds for the fuction)
3. Type of function (Rectangular, Polar, Parametric, Cylindrical, etc.)
4. Generator (Graphic calculator, math program, etc.)
5. Any other useful information such as intercepts, extrema, saddle point/inflection point, holes/asymptotes, etc.

Post away!

Title: Mathematics Graphic Plot Competition
Post by: Rampage on April 12, 2003, 06:35:01 pm

(http://mysite.verizon.net/vze1lyx2/images/polbee.jpg)

Name: Polar Bee
Function: r(x)=cos(tan x)
Type: Polar
Domain/Range: N/A
Utility: TI-86

Title: Mathematics Graphic Plot Competition
Post by: Galemp on April 12, 2003, 07:45:53 pm

(http://www.kleinbottle.com/images/topmoutherlstrhan2.jpg)
Name: Klein Bottle
Equation: (x²+y²+z²+2y-1)[(x²+y²+z²-2y-1)²-8z²]+16xz(x²+y²+z²-2y-1)=0
Range: N/A
Type: Manifold
Generator: Borosilicate Glass
5. It is a one-sided non-orientable 4-dimensional closed surface. Click here for a more verbose description. (http://www.kleinbottle.com/whats_a_klein_bottle.htm)

Title: Mathematics Graphic Plot Competition
Post by: Goober5000 on April 12, 2003, 07:57:32 pm

:lol:

Title: Mathematics Graphic Plot Competition
Post by: Joey_21 on April 12, 2003, 09:46:38 pm

:lol:

(http://denebsystem.250free.com/infinity.gif)

1. Function:
Y1: sin(x)^tan(x)
Y2: 1/Y1

2. Domain/Range: self-explanatory

3. Uhhhhhhhhhh.........

4. Can be done on graphing TI's (i have a souped up 82, myself) but that graphic was taken in Joey_21's Scientific Calculator (see siggy).

5. It appears to be an actual graph of infinity. :lol:

Title: Mathematics Graphic Plot Competition
Post by: Carl on April 13, 2003, 12:53:38 am

*waits for CP*

Title: Mathematics Graphic Plot Competition
Post by: Rampage on April 13, 2003, 08:18:30 pm

Waiting eagerly for the Möbius Strip...

Title: Mathematics Graphic Plot Competition
Post by: Goober5000 on April 13, 2003, 08:20:05 pm

Meh.  Just cut the Klein bottle in half.