Mathematics and Architecture of the Incas in Peru

This novel study-abroad January (J-term) course co-taught by the authors (from mathematics and mechanical engineering) is described in detail. It evolves as a journey, both academically and geographically, with most topics being directly related to the Incas and / or symmetry. Students learned about quipus (a complex system of knot-tying for recording numerical and other data), la chakana symbol, la yupana (an abacus-like calculating device), geometrical symmetry of frieze and wallpaper patterns commonly depicted on buildings and in textiles, and the stability of structures, important because of the common occurrence of earthquakes. In addition, the famous enigmatic Nazca lines and the steamship, Yavari, on the highest elevation commercial lake in the world, (Lake Titicaca) were studied onsite. This adventurous course, whether by land, air, or water, traversed through much of Peru (0-14,000 ft), including the cities of Lima, Nazca, Arequipa, Puno and Lake Titicaca (islands of Uros and Taquile), Cusco, Aquas Calientes, and the beach community of Huanchaco Trujillo. The highlight of the course was visiting the famous lost city of the Incas, Machu Picchu. Samples of student work, assessment, and lessons learned are provided that offer practical advice for others considering offering similar courses.