Unreasonable Mathematics: An Album of Research Reports

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Unreasonable mathematics constitutes a very diverse, some would say miscellaneous, congeries of topics: Merely those which excited the curiosity of this author.

Notwithstanding, like any mathematics, these areas can be researched with the greatest rigor, as long as we retain a sense of humor and a flexible and workmanlike approach that integrates mathematical, statistical and computational devices in a practical way.

Topics touched upon include: Calibrating a Pedometer; Iterating the Theorem of Pythagoras; Fitting Non-Linear Equations; Mineral Crystal Chemistry; The Types of Names that can be Pronounced; and the Quadrature of Irregular Polygons.

Enjoy the work and I hope you find it useful as a starting point.

Full algebraic derivations and diagrams included.