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 » sci.math.* » sci.math.independent

Topic: three-dimensional 'surface' of multi-dimensional 'sphere'
Replies: 6   Last Post: Jan 23, 2014 5:42 PM

Advanced Search

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

Posts: 332
Registered: 1/29/05
three-dimensional 'surface' of multi-dimensional 'sphere'
Posted: Jan 11, 2014 11:46 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


I may have posted this question either three months or three years ago. I am trying to
fill in the background of a sci-fi story and this seems an interesting possibility. I am not
a professional mathematician and my math education is almost as old as I am. A Master's
in pure math can cover a multitude of deficiences even if it were recent.

What would the equation of a three-dimensional 'surface' of a multi-dimensional 'sphere'

For example

x**2 + y**2 + z**2 = r**2

is the equation of a 'two-dimensional surface' of a three-dimensional sphere.

Implicit is the other question, what is the minimum number of dimensions for this

Possibly if the dimensions are indicated by x, y, z, a:

x**2 + y**2 + z**2 + a**2 = r**2

but would a 'person' in whatever 'space' this describes perceive it as a
locally 'flat' three-dimensional space?

I'm assuming the 'sphere' is at the 'center' of the multi-dimensional space.

Thx & Regards,


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.