MATH 4050 - Transformational Geometry

Credit Hours: (3)

Description: Study of Euclidean geometry based on the Erlangen Program. The course develops Euclidean geometry based on metric axioms, develops isometries, similarities, symmetry groups. This development is then reversed as isometries and similarities are then used to define Euclidean geometry. This transformational approach is then used to develop several topics including the nine point circle, the Euler line, the orthic triangle, the Fermat point, the Napoleon tessellation, the Circle of Apollonius, ornamental groups, Rosetta groups, frieze groups, and wallpaper groups.

Credit earned for this course cannot be applied to the Mathematical Sciences major. Prerequisite(s): Department Permit Required.