Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.
Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.
