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the scientific revolution
Johannes Kepler discovers two of the Kepler-Poinsot polyhedra -
17-gon
Carl Friedrich Gauss proves that the regular 17-gon can be constructed using only a compass and straightedge -
complex numbers
Caspar Wessel associates vectors with complex numbers and studies complex number operations in geometrical terms, -
regular polygons
– Pierre Wantsel proves that doubling the cube and trisecting the angle are impossible with only a compass and straightedge, as well as the full completion of the problem of constructibility of regular polygons -
my prediction
that for geometry you wont need polygons to help you