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by Tamás Keleti and Elliot Paquette
Supplement to article in American Mathematical Monthly
This interactive page allows readers to construct a Kuratowski 14-Set on the real line by selecting from among ten checkboxes, each representing a given set of real numbers.
Marden's Theorem concerns the relative positions of the roots of a cubic polynomial and those of its derivative. This article gives a proof of Marden's theorem, along with dynamic geometry animations and some of the history of the result.