Faan Tone Liu (CU Boulder) Solids, Geometry and Folding

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Chebyshev polynomials (of the first kind) are one of the simplest family of maps that appear in the study of dynamical system. They can also be found in many branches of mathematics: complex analysis, differential equation, number theory and etc.. This talk will cover the definition of Chebyshev polynomials and some basic properties of them.

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In this meeting, we will learn how to fold two particular units in modular origami. We will use some basic geometry theorems to calculate the angles within the units, and then construct a cube and a dodecahedron from the folded units. As time permits we will look at other Platonic and Archimedean solids and investigate how they might be constructed from modular origami units.