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

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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.

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http://www.cs.berkeley.edu/~sequin/PAPERS/2011_Bridges_ToriS tori.pdf

http://gallery.bridgesmathart.org/exhibitions/2011-bridges-c onference/sequin]]>

(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

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