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Klein Bottle — Described by Felix Klein (1882). In 4D it has no self-intersection; in 3D it must pass through itself.
Euler characteristic: χ = 0. No boundary. Non-orientable: a normal vector has no consistent direction. Two Mobius strips glued along their boundary make a Klein bottle.
Euler characteristic: χ = 0. No boundary. Non-orientable: a normal vector has no consistent direction. Two Mobius strips glued along their boundary make a Klein bottle.