Physical Sciences and Mathematics Commons^™

Ai And The Music Industry: Its Current Status And A Speculative Projection Of Its Evolutionary Trajectory, Rhett D. Morris, Clayton Rosati, Stefan Fritsch

Honors Projects

Music serves as one of society's biggest cultural outlets, allowing millions to share in what used to be a uniquely human form of expression. The commodification of music has built a huge industry full of companies and platforms that have used technology and property laws to shape music's relationship with the public. This study aims to look into the future to see how AI and its implementation could affect the structure of the music industry. To look into the future, this piece establishes two of the most pressing kinds of AI technology for the music industry and looks to contextualize …

Mono Gold: An Informal Account Of The Geology, Production, And History Of Mono County Gold And Silver Mining Districts, D. D. Trent

Eastern Sierra History Journal

Mono Gold explores the mining production, technology, and history of the Eastern Sierra, with a special focus on Mono County. Author Dee Trent, a geologist, spent decades visiting, researching, and photographing each of the mining operations discussed in this book-length monograph.

Book Review: Radioactive Dixie: A Nuclear History Of The American South, Will Jones

Georgia Library Quarterly

No abstract provided.

Alfred Russel Wallace Notes 42: How Accurate Are The Transcriptions Presented At The Alfred Russel Wallace Page Website?, Charles H. Smith

Faculty/Staff Personal Papers

A look is taken at the level of accuracy displayed by the transcriptions of Wallace writings offered at the Alfred Russel Wallace Page website, as determined by a ChatGPT analysis.

Indigenous Community Research Opportunities, Sharon Hausam, Aaron M. Canter

Faculty Publications

This is a working paper produced as part of National Science Foundation project #2115169, “Transforming Rural-Urban Systems: Trajectories for Sustainability in the Intermountain West,” known as the “Intermountain West Transformation Network” (TN), led by the University of New Mexico with institutional partners at three additional universities in New Mexico, two in Arizona, and one each in Utah, Colorado, and Washington. The TN’s Indigenous and Tribal engagement was supported through a contract with Dr. Sharon Hausam, additional work by Aaron M. Canter, coordination with Dr. Lani Tsinnajinnie, and an Advisory Committee on Indigenous Information Needs primarily comprised of Indigenous representatives in …

Opportunities For Leadership In Indigenous And Tribally Engaged Research At The University Of New Mexico, Sharon Hausam

Faculty Publications

This is a working paper produced as part of National Science Foundation project #2115169, “Transforming Rural-Urban Systems: Trajectories for Sustainability in the Intermountain West,” known as the “Intermountain West Transformation Network” (TN), led by the University of New Mexico with institutional partners at three additional universities in New Mexico, two in Arizona, and one each in Utah, Colorado, and Washington. The TN’s Indigenous and Tribal engagement was supported through a contract with Dr. Sharon Hausam, additional work by Aaron M. Canter, coordination with Dr. Lani Tsinnajinnie, and an Advisory Committee on Indigenous Information Needs primarily comprised of Indigenous representatives in …

Opening The Lantern: The Leiden Declaration, Mark Huber

Journal of Humanistic Mathematics

The Leiden Declaration on Artificial Intelligence and Mathematics provides insight into how mathematicians view their discipline. However, when positioning mathematics against AI, the declaration falls short in recognizing recent advances. This column introduces the reader who might be unfamiliar with these new methods through the formal language Lean and discusses how these new abilities might change the way journals operate.

Wanted: A Book Reviews Editor For The Journal Of Humanistic Mathematics, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

To help us procure regular book review submissions and ensure that we can indeed include a solid book review in each upcoming issue, we would like to have an enthusiastic book worm join our small editorial team. In other words, we are looking for a book reviews editor.

We will review all applications that have been submitted by October 15, 2026. We hope to have our new book reviews editor start their term by January 2027.

Visualizing Irrationality: Digit Mosaics In Okabe–Ito, Raven Quilestino-Olario

Journal of Humanistic Mathematics

Five visual mosaics translate 10,000-digit segments of well-known mathematical constants into color. For each constant, the digits are placed in a 100×100 grid read left to right and top to bottom, including the digit before the decimal point, and each digit (0–9) is mapped to a color in the Okabe–Ito palette. A matching bar chart shows the digit counts within the same window, allowing quick comparison of how evenly digits appear. The series includes π, e, √2, φ, and the Euler–Mascheroni constant γ. Together, the mosaics and counts turn numerical randomness into visual harmony while keeping the work readable for …

The Pi-Royal Tire, Erik Talvila

Journal of Humanistic Mathematics

In this humorous story, the half-wit proprietor of a tire manufacturing company thinks knowing pi to more digits will allow the production of rounder tires. An applied mathematician is recruited to fulfill a ridiculous industrial research agenda.

In Praise Of Smaller Models, Pedro Poitevin

Journal of Humanistic Mathematics

No abstract provided.

Count, Robin Young

Journal of Humanistic Mathematics

It's the thought that counts? No, it's this canzone that counts! This poem explores the philosophy of counting through five stanzas from shoreline pebbles to Godel's incompleteness theorems. Counting becomes our guide through Zeno's paradoxes, irrational numbers, Cantor's infinities, and quantum measurement problems. The poem counts, recounts, and discovers that some things simply cannot be counted.

Group Theory For Poets, Holley Friedlander

Journal of Humanistic Mathematics

This poem instructs the reader on how to put a group structure on an arbitrarily chosen set. Through accentual, rhyming verse, it playfully discusses the beauty and utility of groups as a mathematical concept via examples and applications. This work is inspired by the Patricia Toht book, Pick a Pine Tree.

My Journey To Mathematics, Thao Thuan Vu Ho

Journal of Humanistic Mathematics

No abstract provided.

A Lament For Linear Algebra, Jasmine A. Elmrabti

Journal of Humanistic Mathematics

What assumptions underlie our axiomatic definitions? A meditation on the nature of linear algebra and its metaphysical implications during use, this poem is a reflection on the markedness of discrete entities upon which we rely to utilize the axioms of linear algebra.

Mathematics As Creative Structure: A Review Of Marcus Du Sautoy’S Blueprints, Sangeetha Balakrishnan, Latha R

Journal of Humanistic Mathematics

Marcus du Sautoy’s Blueprints: How Mathematics Shapes Creativity (2025) makes a provocative claim that creativity emerges not in opposition to constraint, but through it. Working through nine mathematical “blueprints” — symmetry, randomness, the Fibonacci sequence, among others — du Sautoy traces recurring structural patterns across artistic practice, natural phenomena, and mathematical thought. The argument is ambitious and persuasive. In this review we consider what the book adds to longstanding conversations about the relationship between scientific and humanistic ways of knowing, and reflect on what it means to reframe mathematics as an imaginative and exploratory enterprise rather than a purely technical …

The Logic Of Leaves: Mathematical Poems And Graphs, Ksawery Tomczak

Journal of Humanistic Mathematics

This collection explores the intersection of mathematics and poetry through six original works that blend formal rigor with lyrical expression. Each poem draws from a distinct mathematical concept—proof, set theory, combinatorics, graph theory, and cardinality—reframing it through metaphoric and aesthetic lenses. From the lyrical contemplation of infinite sets to the emotive longing of a graph in love, the verses reveal the emotional resonance and philosophical depth embedded in mathematical thought. The collection culminates in a visual piece rendered in \LaTeX and TikZ, illustrating all integer partitions of the number five as a branching tree, accompanied by a poem that sings …

An Essay On Teaching And Learning Mathematics: Through The Lens Of Artificial Intelligence, Music, And Sports, James Diederich

Journal of Humanistic Mathematics

This essay is aimed at a wide audience: anyone who has engaged in learning or teaching math. It provides a unique perspective drawn from a mathematician’s interests in working with K-12 teachers, familiarity with artificial intelligence (AI), and amateur pursuits of learning to play an instrument and of learning a difficult sport. While I delve into these topics, no special background is needed in the slightest. In particular, I draw lessons from some failures in AI that reflect on why the conventional procedural approach to teaching and learning math fails many students. I also provide insight into how we learn …

The Urysohn Lemma: Munkres Variation, Irida Altman

Journal of Humanistic Mathematics

There is a tradition of Mathematics contributing to the understanding of Music. This article sets out to contribute in the other direction. It uses musical sensibilities to feel its way through a piece of mathematics called the Urysohn Lemma, suggesting the presence of rhythmic, melodic, and harmonic elements within standard proving practices of contemporary Western mathematics. This article employs a literary-philosophical technique of viewing a text in one discipline (mathematics) through the conceptual lens of another (music). As such, this article reports on no experiments—reading the article is the experiment. Each reader performs it for themselves.

Prime Numbers Are Written On Your Hand: You Simply Have Not Been Counting Correctly, Nona Servais Kamdem Simo, Awa Traore

Journal of Humanistic Mathematics

Prime numbers have resisted systematic description for over two millennia. We propose that part of the difficulty may lie in an insufficiently attentive examination of one’s own hands. In particular, we assign the natural numbers to the joints of the human hand according to a cyclic traversal protocol, and make a handful of observations which can naturally be translated into number-theoretic properties of prime numbers. We show that these properties lead us to natural activation thresholds of a unified three-phase sieve algorithm — the resulting framework provides, for the first time, a zone-based partition of the admissible space with explicit …

Developing A Learner-Centered Teaching Routine, Hyeeun Jang

Journal of Humanistic Mathematics

This paper shares my story of developing, from Fall 2022 to Spring 2025, a learner-centered teaching routine for my undergraduate mathematics courses. I use four steps: an opening question, a short mini lecture about meaning, structured small group work, and a short end-of-class exit check, at times supported by quick visuals in Mathematica and, when useful, Python. Instead of relying on extended traditional lectures, the routine emphasizes collaborative problem solving and invites students to articulate and check their reasoning together. I used this routine mainly in my elementary statistics classes, but also in calculus and linear algebra. The evidence I …

Preparing Undergraduates To Philosophize With Children About Mathematics, Lawrence M. Lesser

Journal of Humanistic Mathematics

This paper shares my reflections and insights from preparing and facilitating a session in a weeklong inaugural study away program for undergraduate students (especially philoophy majors). My session was a vehicle for helping these students experience or visualize how the program’s Philosophy for Children (P4C) approach could be applied to exploring and discussing mathematics with children.

The Dynamics Of Vincent Van Gogh, Monica Morales Hernandez

Journal of Humanistic Mathematics

This article explores the interplay between Vincent van Gogh’s distinctive artistic style and principles of fluid dynamics, particularly through metaphorical comparisons. Van Gogh’s swirling, turbulent brushstrokes in works such as The Starry Night and Wheatfield with Crows evoke the chaotic and dynamic behaviors found in fluid motion, like vortices and turbulence. Although there is no documented scientific influence from fluid dynamics on van Gogh’s art, the parallels between his emotive, flowing techniques and the mathematical principles governing fluid behavior offer a unique lens to appreciate both his artistic innovation and the science of fluid dynamics.

Mathematicians Against The Tide, Nicola Ciccoli

Journal of Humanistic Mathematics

Mathematicians in popular culture are often depicted as people obsessed by their studies but with little connection to society, poor social skills, mental issues and narrow interests, and more generally a dull life. Adding to these explicit stereotypes, subtler and more implicit ones also abound, regarding mathematicians’ gender, ethnicity, age; they are all supposed to be white middle-aged men. In this paper I describe a project aimed at disrupting such stereotypes that culminated in a book containing short comics and biographies of twentieth-century mathematicians that were, with respect to the perceived image of mathematicians, against the tide.

Waiting For The Magic: A Historical And Mathematical Study Of Queues In Disney Theme Parks, Nina E. Becket

Journal of Humanistic Mathematics

This paper, written as part of an honors research project in high school, provides an introduction to the line and queuing systems at Disney theme parks. We begin with a brief history of Disney World and its creators. We then introduce the basics of queuing theory and queuing notation. Finally, we examine modern line systems at Disney (as of 2023) and the future of its different queue systems.

An Exploration Of Mathematical And Musical Connections, Jeffrey Pair, Egypt Pannell, Dani Rodriguez, Jerico Sarmiento

Journal of Humanistic Mathematics

In this paper, we present an introduction to some of the mathematical principles underlying music and mathematically develop a connection between the twelve musical notes and the group of integers modulo twelve. Our discussion touches on the simple mathematical ratios used to calculate consonant musical tones on the length of a string, the frequencies of tones and the method by which the twelfth root of two provides the foundation of equal temperament tuning, some algebraic connections to musical concepts like the euphonious circle of fifths, and a curious connection to twin primes.

"Math Is Like A Rollercoaster": Exploring Math Similes And Metaphors, Carmen M. Latterell, Janelle L. Wilson

Journal of Humanistic Mathematics

In this article we explore the metaphors and similes that pre-service elementary teachers use to describe mathematics. Employing qualitative content analysis, we separately coded the metaphors and similes into conceptual categories and analyzed themes that emerged. This grounded theory approach led to the creation of seven categories of metaphors and similes and three overarching themes. Math was viewed as a journey, a puzzle, a personal experience, a creative process, an algorithm, infinite, and an embodied process. Pre-service elementary teachers viewed mathematics as a process that takes effort. Overall, mathematics is a positive experience for them. In addition, mathematics involves fitting …

Grationality, With A Spoon, L. Jeneva Clark

Journal of Humanistic Mathematics

I introduced grationality at a 2025 sectional meeting of the Mathematical Association of America to install a handle on a concept akin to rationality of numbers, but in a geometric context. More specifically, we define a nice n-gon to be a regular n-gon with side lengths that are natural numbers; then a number n is grational if and only if there exists a nice n-gon such that its area equals the sum of areas of n congruent nice n-gons. In this paper I offer several examples of grational and non-grational numbers, followed by theorems about how the grationality of a …

The Set Card Game And Partitions Into Maximal Caps: A Partial Difference Sets Approach, John Polhill

Journal of Humanistic Mathematics

More specifically, we revisit the problem of determining the maximum number of cards that can be dealt in the SET® card game without any matches, which is well known to be equivalent to the problem of determining the size of a maximal cap in the affine space AG(4,3). We present a new approach to the problem by using partial difference sets, a method that is equivalent to using strongly regular graphs with a regular automorphism group. The paper includes several possible avenues for future investigations on how partial difference sets might be used in related problems.

A Method For Folding Origami Rectilinear Polygon Extrusions, Everett L. Jin

Journal of Humanistic Mathematics

We present a method for generating crease patterns for folding any rectilinear polygon extrusion with a specified uniform minimum edge-to-edge distance, using a rectangular sheet of paper. We demonstrate that the resulting models are efficient and watertight. In addition, they achieve optimal efficiency, meaning they attain the smallest possible scale factor from the original sheet of paper to the folded rectilinear polygon extrusion. Finally, we provide a code implementation of the method. Our study not only facilitates crease pattern design for origami artists but also offers an innovative, art-driven pedagogical tool for inspiring interest in mathematics.