Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Conditions Equivalent To The Existence Of Odd Perfect Numbers, Judy Holdener
Conditions Equivalent To The Existence Of Odd Perfect Numbers, Judy Holdener
Judy Holdener
No abstract provided.
A Cryptographic Scavenger Hunt, Judy Holdener
A Cryptographic Scavenger Hunt, Judy Holdener
Judy Holdener
In this article, the authors present a mathematical scavenger hunt designed to motivate and excite students learning RSA cryptography in an introductory number theory course. The hunt relies on the RSA cryptosystem, in which Maple is used to encipher and decipher secret information contained within the clues.
Generalized Thue-Morse Sequences And The Von Koch Curve, Judy Holdener
Generalized Thue-Morse Sequences And The Von Koch Curve, Judy Holdener
Judy Holdener
: In a recent paper, Ma and Holdener used turtle geometry and polygon maps to show that the Thue-Morse sequence encodes the von Koch curve. In the final paragraph of this same paper, they ask whether or not there exist certain generalized Thue-Morse sequences that also encode the curve. Here we answer this question in the affirmative, providing an infinite family of words that generate generalized Thue-Morse sequences encoding the von Koch curve.
When Thue-Morse Meets Koch, Judy Holdener
When Thue-Morse Meets Koch, Judy Holdener
Judy Holdener
In this paper, we reveal a remarkable connection between the Thue-Morse sequence and the Koch snow°ake. Using turtle geometry and polygon maps, we realize the Thue-Morse sequence as the limit of polygonal curves in the plane. We then prove that a sequence of such curves converges to the Koch snow°ake in the Hausdor® metric. In the ¯nal section we consider generalized Thue-Morse sequences and provide a characterization of those that encode curves converging to the Koch snow°ake.
Parametric Plots: A Creative Outlet, Judy Holdener
Parametric Plots: A Creative Outlet, Judy Holdener
Judy Holdener
No abstract provided.
Product-Free Sets In The Card Game Set, Judy Holdener
Product-Free Sets In The Card Game Set, Judy Holdener
Judy Holdener
The card game SET has attracted the attention of math and game enthusiasts alike. In this article, I present a first semester Abstract Algebra project that guides the students through an algebraic formulation of the game. There are many interesting mathematical questions that one can ask about the game, and I illustrate how the project can be used to get students working on such questions. In this way, the project can also serve as an opportunity for undergraduate research.
Art And Design In Mathematic, Judy Holdener