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A square pyramid has the base of a square,and sides of a triangle. While a triangle pyramid has the base and sides of a triangle.
A cylinder is a polygon that has circles as its base. A triangular pyramid is a polygon that has a triangle as its base.
A regular pyramid has an equilateral triangle base, not just a regular polygon. It has an apex above the centre of the base.
Square Pyramid has a square base and 4 triangular sides. Triangular Pyramid has a triangle base and 3 triangular sides.
A pyramid has a variable number of triangular faces. The base of a triangle can be practically any regular shape, starting with a triangle. Technically a pyramid can have four or more triangles as faces.