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None of the edges of a triangular pyramid is parallel to any of its other edges.
triangular pyramid
None but it does have 4 triangular faces, 6 edges and 4 vertices
A triangular based pyramid has no parallel lines but it does have 4 faces, 6 edges and 4 vertices.
A triangular based pyramid has zero pairs of parallel faces. In a triangular based pyramid, all three faces of the base are not parallel to the apex, which means there are no pairs of parallel faces in this type of shape.