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`The Very Beautiful Principles Of Natural Philosophy': Michael Faraday, Paper Marbling And The Physics Of Natural Forms, Robert Pepperell Jun 2024

`The Very Beautiful Principles Of Natural Philosophy': Michael Faraday, Paper Marbling And The Physics Of Natural Forms, Robert Pepperell

LASER Journal

In 1854, Michael Faraday wrote to thank the author who had sent him a book on the art of paper marbling. In the letter, Faraday referred to `the very beautiful principles of natural philosophy' involved in the process of dropping ink on thickened water. What are the `beautiful principles' that Faraday referred to, and how are they involved in the art of paper marbling? Here I consider some of the physical processes that occur in paper marbling and how the patterns that emerge represent `dissipative structures' that are governed by fundamental principles of nature, in particular the tendency for physical …


Art And Math Via Cubic Polynomials, Polynomiography And Modulus Visualization, Bahman Kalantari Apr 2024

Art And Math Via Cubic Polynomials, Polynomiography And Modulus Visualization, Bahman Kalantari

LASER Journal

Throughout history, both quadratic and cubic polynomials have been rich sources for the discovery and development of deep mathematical properties, concepts, and algorithms. In this article, we explore both classical and modern findings concerning three key attributes of polynomials: roots, fixed points, and modulus. Not only do these concepts lead to fertile ground for exploring sophisticated mathematics and engaging educational tools, but they also serve as artistic activities. By utilizing innovative practices like polynomiography—visualizations associated with polynomial root finding methods—as well as visualizations based on polynomial modulus properties, we argue that individuals can unlock their creative potential. From crafting captivating …


Relative Periodicity Of Empirical Audio Samples With Application To Dissonance Perception, Linden Faye, Spencer Kuhn, Anil Venkatesh Feb 2024

Relative Periodicity Of Empirical Audio Samples With Application To Dissonance Perception, Linden Faye, Spencer Kuhn, Anil Venkatesh

LASER Journal

The concept of dissonance in music perception has been variously associated with the physical concepts of roughness, instability, and tension by appealing to a subjective cross-sensory analogy. For all the subjectivity around the term, it is noteworthy that non-musical test subjects in clinical experiments have produced remarkably consistent rank-orderings of musical sounds, according to the perceived dissonance of those sounds. Further studies in psychology, neuroscience, and mathematics show that consonance perception appears to be influenced not only by convention and culture but by the psychoacoustics of sound perception, likely by some combination of the Helmholtz theory of roughness and the …


An Icosahedron For Two: A Many-Sided Look At Making A Duet, Colleen T. Wahl Feb 2024

An Icosahedron For Two: A Many-Sided Look At Making A Duet, Colleen T. Wahl

LASER Journal

The space around our bodies is not empty or neutral. In fact, the space around our bodies is loaded with meaning and important. When we move through it, whether it be in our daily lives or a choreographer making specific choices in order to convey a message, we activate new understandings in our lives. As a dancer and choreographer, I created a duet from improvisational climbs on an icosahedron. This article discusses choreographing from the form icosahedron and connects Laban's theories of space harmony with the activation of meaning in my life.


“It’S Just Lines”: A Qualitative Analysis Of Emergent Structures And Experiences Within Steam Education Initiatives For Secondary-Level Students, John O'Meara Feb 2024

“It’S Just Lines”: A Qualitative Analysis Of Emergent Structures And Experiences Within Steam Education Initiatives For Secondary-Level Students, John O'Meara

LASER Journal

This qualitative analysis is oriented around the experiences and discourse of high school students participating in LASER (Linking Art and Science through Education and Research), an initiative at Montclair State University in Montclair, NJ that seeks mathematics and physics education reform through an immersive and innovative approach to STEAM (Science, Technology, Engineering, Art, and Mathematics) experiences. This work focuses on the concluding task of a one-day workshop wherein students are led on a campus walk to observe the local campus architecture, and then must recreate one of the observed structures within the Desmos graphing utility. Student approaches and narratives reveal …