Visualising or gluing instruction for a pseudosphere?

If you don't know where to post something, put it here and an administrator or moderator will move it to the right place.

Visualising or gluing instruction for a pseudosphere?

Postby Secret » Fri Jul 12, 2013 6:12 pm

http://en.wikipedia.org/wiki/Pseudosphere

They said the tractoid is just half of the pseudosphere. But form the picture given there, isn't the whole thing is a closed surface with top and bottom forming something like a spindle?

If this is just half of the pseudosphere, how to construct the full pseudosphere?
Secret
Trionian
 
Posts: 162
Joined: Tue Jul 06, 2010 12:03 pm

Re: Visualising or gluing instruction for a pseudosphere?

Postby wendy » Sat Jul 13, 2013 7:06 am

Unfortunately, it is as much a pseudosphere as a cylinder is a euclidean plane!

The 'pseudosphere' or bollosphere is actually an isocurve, in the case of hyperbolic geometry, equidistant from a flat plane. In fact, the flat plane in H-space is a bollosphere. The gibberish about having a complex radius is wrong. It has a real radius, but it's measured in a different way.
The dream you dream alone is only a dream
the dream we dream together is reality.
User avatar
wendy
Pentonian
 
Posts: 1796
Joined: Tue Jan 18, 2005 12:42 pm
Location: Brisbane, Australia


Return to Where Should I Post This?

Who is online

Users browsing this forum: No registered users and 2 guests