Spaces can have simplest geometric figure {simplex, space}| {space, cell}. Number of space dimensions defines simplex: 0 is point, 1 is line, 2 is triangle, 3 is tetrahedron, and n is n-simplex. Simplexes are manifolds. Simplexes have orientation. Even numbers of permutations make same orientation. Odd numbers of permutations make opposite orientation. Simplex boundaries are next-lower-dimension simplexes and have orientation.
Mathematical Sciences>Geometry>Solid>Surface
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Date Modified: 2022.0224