Images for Mathematics

A hypercube split into two solid tori

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The 8 cubes of the three-dimensional net of a hypercube can be split into two groups of 4 cubes; each group, when 'closed' in the four dimensional space, creates a solid torus. The two solid tori are attached so that a meridian of the first torus (a in the figure) is identified with a parallel of the second one, and a parallel of the first torus (b in the figure) is identified with a meridian of the second one.

The image belongs to the sections...:
From "towards the 4th dimension" (From "XlaTangente")
Two tori in a hypercube (4D geometry)
Net of a hypercube (4D geometry)


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itenpt
Matematita