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Examples

  • Among the first to be noticed are the hyperprism and hypercylinder with parallel line elements, and the hyerpyramid and hypercone with line elements meeting at a vertex.

    The Fourth Dimension Simply Explained 1910

  • A hyperprism with prism bases has for lateral boundary two prisms and a set of parallelopipeds.

    The Fourth Dimension Simply Explained 1910

  • The boundary of a hyperprism consists of the two polyhedron bases and a set of lateral prisms.

    The Fourth Dimension Simply Explained 1910

  • The hypercube is a very particular case of the hyperprism.

    The Fourth Dimension Simply Explained 1910

  • The lateral prisms have for bases the faces of the polyhedron bases of the hyperprism and are joined to one another by their lateral faces.

    The Fourth Dimension Simply Explained 1910

  • The hyperprism with prism bases and the hypercylinder with cylinder bases are, then, particular cases of a class of hypersolids which may be described as follows: Two polygons, or two closed plane curves, or a polygon and a plane curve are placed together so that they intersect but do not lie in a single three-space.

    The Fourth Dimension Simply Explained 1910

  • Thus the parallelogram and the polygon play the part of generating elements, each with the other for directrix in generating a portion of the hyperprism.

    The Fourth Dimension Simply Explained 1910

  • Such a figure may be considered in two ways as a hyperprism, the two lateral prisms in one case being the two bases in the other case.

    The Fourth Dimension Simply Explained 1910

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