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Updated: May 21, 2025
It is important to remember that all of the angles made by the four axes are right angles a thing possible only in a space of four dimensions. Because the 16-hedroid is a symmetrical hyper-solid all of its eight apexes will be equidistant from the centre of a containing hyper-sphere, whose "surface" these will intersect at symmetrically disposed points.
These apexes are established in our representation by describing a circle the plane projection of the hyper-sphere about the central point of intersection of the axes. From each apex it is now necessary to draw straight lines to every other, each line representing one edge of the sixteen tetrahedral cells.
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