These objects can be described by Feynman diagrams and are beloved of mathematics popularisers dating back to Martin Gardner’s first ever column of Mathematical Games. For 10 points each:
[10m] Name these foldable shapes - the ‘trihexa-’ variety has three faces whilst the ‘hexahexa-’ variety have six.
ANSWER: flexagons [or hexaflexagons]
[10h] The first flexagons were discovered by a mathematician with this surname, who also names a metrization theorem. A different mathematician of this surname names a generalization of the Weierstrass polynomial approximation theorem.
ANSWER: Stone (The mathematicians are Arthur Stone and Marshal Harvey Stone, respectively.)
[10e] Along with Feynman and Tuckermann, John Tukey formed the Princeton flexagon committee. Tukey’s best known invention may be these statistical diagrams showing the median and interquartile range, often drawn with ‘whiskers’.
ANSWER: box plots