http://www.shapeways.com/forum/index.php Shapeways: Bring your creativity to life in 3D http://www.shapeways.com/forum/index.php?t=rview&goto=35666&th=6579#msg_35666
Inspired by the Klein (Eight) discussion, that seems like a good start:

As mentioned in the other topic, for now I only have the basic version of the Klein Eight but am hoping to find something more interesting hidden in it.

http://www.shapeways.com/model/337239/klein_eight.html?gid=s g4834
]]> virtox 2011-10-02T11:43:06-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=35669&th=6579#msg_35669


Here's a few variations from Kelin 8 to inspired models based on the shape.

Figure 8 Klein Mobius
Figure 8 Klein Mobius 12mm
Double Flat Oval Mobius
Triangluar Figure 8 Klein
Hourglass Figure 8 Klein Mobius
Hourglass - Double Mobius
Hourglass - Double Mobius - Small
Spiralling Figure 8 With 360 Degree Twist

And now for the big surprise... I used no equations or complicated maths to create the models.

]]> stop4stuff 2011-10-02T11:55:59-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=35670&th=6579#msg_35670
http://www.cs.berkeley.edu/~sequin/PAPERS/2011_Bridges_ToriS tori.pdf

http://gallery.bridgesmathart.org/exhibitions/2011-bridges-c onference/sequin]]> henryseg 2011-10-02T11:58:13-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=35671&th=6579#msg_35671 The fun thing I find about these shapes is, you hardly need math, imagination is usually enough.
(hmm Imathination anyone?)

While I like to challenge myself and do them mathematically, the formula used in the end basically comes down to:
A figure eight going round a circle and doing a 180

@henryseg, thanks, very insightful, there goes my lazy sunday afternoon

Woah! The actual double Klein bottle in that paper DOES rock my boat



]]> virtox 2011-10-02T12:00:52-00:00