Simplex numbers, in the context of higher mathematics, typically refer to a generalization of numbers that are used to describe geometric structures known as simplices. A simplex is a generalization of a triangle or tetrahedron to arbitrary dimensions. 1. **Geometric Definition**: - A 0-simplex is a point. - A 1-simplex is a line segment connecting two points. - A 2-simplex is a triangle defined by three points (vertices).
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