Mathematical Connections Seminar: Peter Kagey
February 12, 2026 4:15–5:30 p.m.
Location
Shanahan Center, 3481
320 E. Foothill Blvd.
Claremont, CA 91711
Contact
Melissa Hernandez-Alvarez
mhernandezalvarez@hmc.edu
909.607.3618
Details
"Tilings on Polyhedra and Polyhedra on Tilings"
A talk in two acts. In the first act, "Tilings on Polyhedra," we count a family of tilings first enumerated by the artist M. C. Escher, and then lift these questions into three dimensions. This allows us to answer questions such as: How many ways can we arrange panels on a soccer ball?
The second act, "Polyhedra on Tilings," focuses on joint work with Prof. Andrés, describing an algorithm to count “generalized polyforms.” This algorithm counts objects such as the number of pieces in the (166 + 4)-piece 3D puzzle Hexacube, donated to the HMC Math Department by HMC alum Andy Niedermaier ’04, or the number of ways to arrange the building blocks of TOWARD, a temporary sculpture built in 2024 outside of Jacobs.
This event is for: faculty, staff, students
Community Connections events provide opportunities for HMC faculty, students and staff to cultivate community, foster open conversations and share important information as together we live out our mission and shape the future of the College.