Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » geometry.college.independent

Topic: spiral function f[(r)(theta)]
Replies: 4   Last Post: Dec 23, 2010 1:54 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Oscarville

Posts: 12
Registered: 12/17/10
spiral function f[(r)(theta)]
Posted: Dec 21, 2010 3:44 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply
contuatia 004.jpg (126.2 K)
contuatia 003.jpg (114.9 K)

Here's the picture I promised of the spiral and its relation to the circle.

You can see that s=r(theta), relates to f[(r)(theta)]. Theta should be in radians, I'm assuming. But I wasn't prepared to find the equivalents for degrees, so I expressed everything in degrees.

I hope you can see from the diagram, that as the circle forms, the function, f[(r)(theta)] grows.

It appears to be a spiral of Archimedes, with the center axis, perhaps passing through z=4. It's inverted obviously.

EDIT #9:

This is obviously not an Archimedeian Spiral. It's obviously a Logarithmic Spiral. The details should be easy enough to solve.

EDIT: EDIT #2:

(note: principle axises for the spiral are z=4 and y=(7/10)(root 2)(r) - this can be seen in the contuatia 004.jpg)

The values are real, so this, once again, is a real function; not simply something I "cooked up".

Anyone can solve this, if they're interested.

Please ask any questions, if you're interested and there's anything you need to know.

Cheers!

-oscar


Message was edited by:


Message was edited by:

Message was edited by:


Message was edited by:


Message was edited by:



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.