Abstract
After recalling definitions and results about the constructibility of a geometric object, we have shown by more and more efficient methods how the works of Gauss, computer algebra systems (Maple), and dynamic geometry software (Cabri-Geometry, distributed by Texas Instruments) could be used together to construct regular polygons, using ruler, compass, and simple conics. In particular, we have given the list of small Open image in new window 2-constructible polygons, and presented new Open image in new window 2-constructions of the regular polygons with 19, 37, 73, and 97 sides.
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