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Square Identifications Triptych II - Klein Bottle 3d printed

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Black Natural Versatile Plastic
Square Identifications Triptych II - Klein Bottle 3d printed
Square Identifications Triptych II - Klein Bottle 3d printed

DIGITAL PREVIEW
Not a Photo

Square Identifications Triptych II - Klein Bottle

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Product Description
The square has three identification spaces - three topological shapes that can be produced by gluing opposite sides to each other.

This triptych features all three - the Torus, the Klein Bottle and the Projective Plane - in a selection of interesting immersions into 3 dimensions.

This Klein Bottle is not the standard «swan neck» immersion - instead, this Figure 8 immersion highlights the structure of a circle bundle over the circle, an algebraic topological feature of the Klein bottle that plays a fundamental role in developing modern homotopy theory.

The steel version of this was exhibited at the Joint Mathematics Meetings 2019.
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klein_grid_interweave
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Mature audiences only.