In the summer of 2002, my family and I traveled to St. Petersburg, Russia to visit my grandparents. While there, my father told me about an intriguing theorem in geometry that he himself learned in 1972 from Dr. Zalman A. Skopets (1917-1984) who was married to my grandmother’s best friend. Dr. Skopets was a prominent geometer and headed the Department of Geometry at the Yaroslavl’ State Pedagogical University for many years. In the summers, my father would visit Dr. Skopets who would give him challenging problems in geometry. One such problem appealed to him so much that he remembered it even on that summer day in St. Petersburg some 30 years later. Here is that remarkable problem: Read More

• Mathematics