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Considering polyhedra as particular cases of objects known as polytopes, which are the analogies of polyhedra in spaces with dimensions greater than three, makes it possible to discover characteristics that were not immediately apparent before. The method used by Alicia Boole Stott to discover the sections of four-dimensional polytopes relied on these analogies. The method of sections also makes it...
Alicia Boole Stott (1860–1940) was an amateur mathematician who worked on four-dimensional geometry. She is remembered for finding all three dimensional sections of the four- dimensional polytopes (that is, the analogues of the three-dimensional Platonic solids), and for the discovery of many of the semi-regular polytopes. In this text we give a short biography of her and explain her method to calculate...
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