Today we get to play with the world’s kookiest, craziest 3D shapes! We’ll find out how some bumpy looking shapes can deliver a smooth ride; our challengers will try to feel their way to victory, and Hamza will invent his very own shape: the bloopezoid! Shapes in the polyhedron group such as cubes, prisms and pyramids have surfaces that are all flat; but non-polyhedron shapes such as the torus, the hyperboloid, and the reuleaux triangle have at least one surface that is not flat.  Shapes of constant width behave just like circles or spheres and a gomboc always lands right side up. Weird!

We also learn about other unusual geometric solid 3D shapes and where we find them in everyday life: stellated octahedron, dodecahedron, waisted cylinder, hollow polyhedron, Goldberg polyhedron, and Klein bottle. Topology is the technique of stretching and twisting shapes. Engineer Francis, who uses 3D shapes when building structures, shows us features of  a mobius strip and a hexa-hexaflexagon.