28 citations · 270 across the 43 of their papers we have counts for
3 papers · 1 filter
Three proofs of the Benedetto-Fickus theorem
Dustin G. Mixon, Tom Needham, Clayton Shonkwiler +1
In 2003, Benedetto and Fickus introduced a vivid intuition for an objective function called the frame potential, whose global minimizers are fundamental objects known today as unit…
Spherical Geometry and the Least Symmetric Triangle
Laney Bowden, Andrea Haynes, Clayton Shonkwiler +1
We study the problem of determining the least symmetric triangle, which arises both from pure geometry and from the study of molecular chirality in chemistry. Using the corresponde…
Random Triangles and Polygons in the Plane
Jason Cantarella, Tom Needham, Clayton Shonkwiler +1
We consider the problem of finding the probability that a random triangle is obtuse, which was first raised by Lewis Caroll. Our investigation leads us to a natural correspondence…