Axeeeeeel. Nice work. One day I'll put some pictures with strip and some outstanding Maple code or something like that.FireJamXRasta 3 Wednesday [2002.02.27]
Wouldn't it be cool to have a small java applet of the moebius strip in 3D?
- Yes, (and Maple or Mathematica code too)
I took out the R from the parametrization for three reasons:
- It was not explained.
- It looked as if it was a parameter, but it was in fact a fixed number representing the radius of the Möbius band.
- Not all values of R work (you can get self intersections if R is too small.
I explained the parametrization a bit better. AxelBoldt
- Nice Axel. Yes R seems to be a constant and not a parameter. We should investigate for which R Moebius strip is really defined. I would like to say something more: I didn't mean that those presumptions about connection Universe<->Moebius strip come from SF - they come from science world (physics, cosmology) I guess. We should correct that fact somehow. Uh, Axel I don't want to be your student, ha, ha. I still owe to this page another picture of a strip... XJam [2002.03.25]] 1 Monday (0)
- I haven't seen any serious cosmology suggesting a Moebius strip universe, but if you find anything, make sure to put it in the article. AxelBoldt
I have checked 'very briefly' for R. As it seems strip degenerate near 0 and probably R must be positive or non-positive real number. Very intersting - how small should R be to get self intersections. We can also split R to R1 and R2. Does any self intersection appear if R1 = - R2. (I guess not - but how can you be shure?) Another output picture is coming...
XJam [2002.03.26]] 2 Tuesday (0)
The Klein bottle isn't a 3D analogue, since it's also a surface -- it's more an extension. -- Tarquin
I have a question regarding
- Another equation for a Möbius strip is log(r)*sin(θ/2)=z*cos(θ/2).
I assume this is in cylindrical coordinates (r,θz)? This equation describes an unbounded figure though (you can enlarge r and z beyond all bounds), so I don't see how it can describe a Moebius strip. AxelBoldt, Sunday, June 2, 2002
It is in cylindrical coordinates. It describes an unbounded Moebius strip. If you want a bounded strip, you can take the part inside a torus, or restrict r and z. --phma