For today’s puzzle, let me introduce you to the Menger sponge, a fascinating object first described by the Austrian mathematician Karl Menger in 1926. The Menger sponge is a cube with smaller cubes extracted from it, and is constructed as follows: Step A: Take a cube. Facebook Twitter Pinterest Menger sponge made as part of Matt Parker and Laura Taalman’s MegaMenger project. When you slice a Menger sponge in two like this, what does the hexagonal slice look like? Both the Menger sponge and the Menger slice are included in my latest book, Visions of Numberland: A Colouring Journey Through the Mysteries of Maths.

Source: The Guardian April 10, 2017 06:25 UTC