Cavalieri Content Cups

G4G13

Cavalieri Content Cups

Glen Whitney

Art

Recreational Math

Just as 13 breaks up nicely as the sum of 8 and 5, so too does the (volume of a) cylinder break up nicely as the sum of a cone and hemisphere, a fact we have seen demonstrated at previous Gatherings in vivid ways. But the one-diagram proof of this partition using Cavalieri's principle is remarkably flexible, as the non-standard Cavalieri Content Cups to be distributed will show. For more information, see v.gd/stinf.

G13-048