Dissection
Dissecting a Klein bottle into halves along its plane of symmetry results in two mirror image Möbius strips, i.e. one with a left-handed half-twist and the other with a right-handed half-twist (one of these is pictured on the right). Remember that the intersection pictured isn't really there.
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“The aggregate of all knowledge has not yet become culture in us. Rather it would seem as if, with the progressive scientific penetration and dissection of reality, the foundations of our thinking grow ever more precarious and unstable.”
—Johan Huizinga (1872–1945)
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