The Euclidean pentrealm is a flat, infinitely large five-dimensional space following the rules of five-dimensional Euclidean geometry. It can be created by taking the Cartesian product of five copies of the Euclidean line. A pentrealm can be used to bisect an ecton, and polyexa can have pentrealms of symmetry through which they can be reflected. One way of viewing the structure of a polyexon is to view the realmic cross sections of the flunic cross sections of the pentrealmic cross sections of the shape.
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ecta |
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equivalent manifold |
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