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A triangular pyramid, also known as a tetrahedron, has 6 edges, 4 vertices, and 4 faces. Each face is a triangle, and the vertices consist of one apex and three base vertices. The relationships between edges, vertices, and faces follow Euler's formula, which states that for a convex polyhedron, V - E + F = 2, where V is vertices, E is edges, and F is faces. In the case of a tetrahedron, 4 - 6 + 4 = 2, confirming this relationship.

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