Images for Mathematics

Three paths on a cube

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An ant that walks on a cube, sets off from the centre of one face and walks straight on towards one of the adjacent squares, covers a ring of four squares before arriving at the starting point. There are three "equatorial" paths of this kind in a cube. This can be easily seen on a model of a cube, but the path is less evident on a drawing of a net.How many analogous paths there will be on a Hypercube? How are these paths?

The image belongs to the sections...:
Images of the exhibition (From the exhibitions of matematita)
Nets for polyhedra (3D geometry)


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itenpt
Matematita