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In 2020 Sergey Fomin and Linus Setiabrata introduced an algebraic object called a Heronian frieze that is an analogue of the frieze patterns introduced and studied by Coxeter and Conway in the 1970s inspired by the Euclidean geometry of polygon triangulation. This survey talk will start with frieze patterns, discuss classical results about integrality, and draw connections to cluster algebra theory. We will build up to Heronian friezes, including a discussion of the necessary geometric ingredients. We will end with an advertisement for current work on the case in which the polygon lies on a sphere.

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