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n-Dimensional Semi-Hypercubes and the Algebras Associated With Their Hasse Graphs
(2015-04)
Our goal is to be able to predict how automorphisms of the semihypercubes act using the Hasse graphs of the fixed k-faces to obtain a generating function for the Hasse graph polynomial.
The Moduli Space of 3|2-Dimensional Complex Associative Algebras
(2018-04)
A complex associative algebra is a vector space over the complex numbers equipped with a multiplication operation. The purpose of this study was to investigate the 3|2 dimensional complex associative algebras, constructing ...
3D Printing Herwig Hauser's Gallery of Algebraic Surfaces
(2018-04)
The goal of our research was to extend the 3D printed gallery of Dr. Danielle Brake to mirror the gallery of Herwig Hauser’s images of mathematical surfaces. Through 3D printing, we hoped to give a better visualization of ...