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In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their n-dimensional counterparts (see illustration). Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.
A participle (glossing abbreviation PTCP) is a form of a verb that is used in a sentence to modify a noun, noun phrase, verb, or verb phrase, and plays a role similar to an adjective or adverb. A simpler, but less comprehensive, definition is that it is a verbal adjective. It is one of the types of nonfinite verb forms.