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Klein Bottle Diamond Lattice

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Klein Bottle Diamond Lattice 3d model
DaveMakesStuff
DaveMakesStuff
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Image 1 of 9
Klein Bottle Diamond Lattice 3d model
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Klein Bottle Diamond Lattice 3d model
Klein Bottle Diamond Lattice 3d model
Klein Bottle Diamond Lattice 3d model
Klein Bottle Diamond Lattice 3d model
Klein Bottle Diamond Lattice 3d model
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Klein Bottle Diamond Lattice

This model is a 3D representation of a four-dimensional mathematical object with one side, no edges, and zero volume. In this 3D representation, the surface intersects with itself, but in four-dimensional space the self-intersection can be eliminated.

This lattice-based design has another interesting feature in that it is composed of a single “strand” that wraps around the surface and joins back onto itself.

See here for video: https://youtu.be/ohBylVM5S_k

The concept of a Klein bottle was first described in 1882 by the German mathematician Felix Klein. It is a closed non-orientable surface that has no inside or outside. It is similar to the Möbius strip, but unlike the Möbius strip it has no boundaries and cannot physically exist in three-dimensional space.

See here for similar “Chain Link Klein Bottle”: https://social.thangs.com/m/729957


567 Likes1.1K DownloadsFebruary 23, 2024
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