Abstract
IT appears in NATURE, vol. xviii. p. 105, that “if a fourth dimension were added to space, a closed material surface (or shell) could be turned inside out by simple flexure”. This implies that flexure is necessary. But without displacing a point or a line in the surface we may consistently suppose a rotation of the normals at each point of it through two right angles in a plane polar to the tangent plane. That seems to do the business.
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MONRO, C. Inside Out. Nature 18, 116 (1878). https://doi.org/10.1038/018116a0
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DOI: https://doi.org/10.1038/018116a0
