Constructibility

Constructibility

Explore the fascinating world of geometric constructibility in this comprehensive 6-hour course. Delve into impossible geometry problems, including angle trisection, cube doubling, and circle squaring. Master compass and straightedge techniques, and gain an introduction to field extensions. Examine the degree of field extensions and understand three impossible constructions. Study Gauss' construction of the regular 17-gon and explore the use of a marked ruler instead of a straightedge. Conclude with an overview of constructibility results, providing a thorough understanding of this intriguing mathematical concept.