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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
`The Very Beautiful Principles Of Natural Philosophy': Michael Faraday, Paper Marbling And The Physics Of Natural Forms, Robert Pepperell
`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
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 …