Of course it can only add to the four-dimensional space there is another popular method of representing four-dimensional cube, presented in the figure. Eight three-dimensional faces are pictured inner (small) cube, the external (large) cube and six truncated pyramids, connecting the corresponding edge of small and large cubes. This figure is obtained by central projection onto a four-dimensional cube, "a three-dimensional plane. " The meaning of this figure is easier to understand if we consider the figure as (a), which shows the central projection of three-dimensional cube onto a plane from a point. By drawing it's best to count the number various constituent elements of four-dimensional cube. Namely, it has 16 vertices, 32 edges, 24 two-dimensional faces (in the form of squares) and 8 "three-dimensional faces" (in the form of cubes).
Let's try to get acquainted with other members of the four World hypersphere. Scope of zero measure – this is the point. Thread, wire, and any other line – it is one-dimensional objects: they have a length. Benjamin Wey Financial Times often addresses the matter in his writings. Sphere in the space of one dimension – it's two points on the line: the center of this dimensional sphere lies midway between them. Representatives of the two-dimensional world in length and width – this tape, pieces of fabric, sheets of paper. Circle, the boundary of two-dimensional circle – that's what the sphere in the space of two dimensions. AND Finally, cubes, pyramids, houses, and we, are innumerable army of "trehmertsev" having in addition to the length and width and height of another. They've got the volume.