Mathematical Impressions

How do you turn a rubber band into a knot? What happens when you slice a Menger Sponge on a diagonal plane? What is the math behind juggling? In this video series, George Hart illuminates mathematical concepts and surprising hidden geometries that may be found in the world around us.

Drawing of building blocks making a slanted surface
Digital image of trefoil knot
Menger sponge
Digital, blue-tinted image of symmetric, multilayered polyhedron
Grid with filled in squares to make an image of a patterned pyramid
Digital image of interconnected triangles
3D polyhedron made of triangles
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