Why don't perpetual motion machines ever work? - Netta Schramm Newton’s three-body problem explained - Fabio Pacucci The Infinite Hotel Paradox - Jeff Dekofsky Exponential growth: How folding paper can get you to the Moon A brief history of banned numbers - Alessandra King The mathematics of sidewalk illusions - Fumiko Futamura What is Zeno's Dichotomy Paradox? - Colm Kelleher The unexpected math behind Van Gogh's "Starry Night" - Natalya St. Clair How big is infinity? - Dennis Wildfogel Exploring other dimensions - Alex Rosenthal and George Zaidan Why do airlines sell too many tickets? - Nina Klietsch Football physics: The "impossible" free kick - Erez Garty The case of the missing fractals - Alex Rosenthal and George Zaidan The paradox at the heart of mathematics: Gödel's Incompleteness Theorem - Marcus du Sautoy