Round Triangles!

The video explores the concepts of roundness and sphericity, explaining how spheres are the most efficient shapes for enclosing volume. It discusses the difference between roundness and rolling, introducing shapes of constant width like the Reuleaux rotor, which can roll smoothly despite not being circular. The video also covers the properties of British coins, which are heptagons of constant width, allowing them to function well in vending machines. The video highlights the distinction between being round and rounded, using geological processes as an analogy.

What is the definition of sphericity as mentioned in the text?

How does a round object relate to rolling, according to the text?

What is a Reuleaux rotor and how does it differ from a traditional wheel?

Explain the difference between being 'round' and 'rounded' as discussed in the text.

What unique feature do the 20p and 50p British coins have, and how does it affect their usability?