Calendar

Apr
12
Thu
Undergraduate Seminar: Alex Schulte (Iowa State U.) @ Keller 402
Apr 12 @ 3:00 pm – 4:00 pm
Apr
17
Tue
Analysis Qualifying Exam
Apr 17 @ 9:00 am – 1:00 pm
Applied Mathematics Qualifying Exam @ Hemenway Hall 215
Apr 17 @ 9:00 am – 1:00 pm
Apr
19
Thu
Kaui Yogi’s MA presentation @ Keller Hall 413
Apr 19 @ 1:00 pm – Apr 19 @ 2:00 pm
Apr
20
Fri
Talk Story with Thomas Hangelbroek
Apr 20 @ 3:30 pm – 4:30 pm
Apr
24
Tue
Algebra Qualifying Exam
Apr 24 @ 9:00 am – 1:00 pm
Apr
27
Fri
Colloquium: Eliot Fried (Okinawa Institute of Science and Technology) @ Keller 401
Apr 27 @ 3:30 pm – 4:30 pm
Speaker: Eliot Fried (Okinawa Institute of Science and Technology)

Title: Kaleidocycles and Möbius bands

Abstract: Many of Escher’s works have become mainstays of popular culture. Famous examples include his kaleidocycles, each consisting of six identical regular tetrahedra and being capable of undergoing a cyclic everting motion that brings different tesselations of the tetrahedra into view. Esher also provided memorable interpretations of Möbius bands. We will consider kaleidocycles made from seven or more identical twisted tetrahedra, or disphenoids, and expose a deep, and to our knowledge, previously unnoticed connection between kaleidocycles and the 3π-twist Möbius band.

Apr
30
Mon
Elliot Ossanna, Master’s presentation
Apr 30 @ 10:30 am – 11:30 am

Elliot Ossanna, Master’s presentation, Monday, April 30, 2018, 10:30 am, Keller 403

Fractal nature of generalized binomial triangles modulo $p$

Abstract: A well-known property of Pascal’s Triangle is that reducing entries modulo a prime yields a fractal, Sierpinski’s Triangle-like pattern. We generalize this to triangles generated by strong divisibility Lucas Sequences, and conclude that the generated fractal is uniquely determined by the prime modulus, not the underlying generating sequence.