The figure-8 immersion of the Klein bottle is a classic way to visualize this non-orientable surface in three-dimensional space. A true Klein bottle can’t be embedded in three dimensions without intersecting itself, so any 3D model you see must “cheat” by passing through itself. The figure-8 version does this in a particularly elegant way: instead of a long tube looping back into its own side, the surface folds and twists into a shape that resembles two lobes connected by a narrow waist. This co
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