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None. A square triangle is an oxymoron - it cannot exist!
A pyramid can have 0 or 1 square faces. It can have 4 or more faces - there is no limit.
Square - 1 face Circle - 1 face Triangle - 1 face
The answer is no. A square pyramid can not have all triangle faces because the base of this particular pyramid would be a square.
The base will be a square, all the rest of the faces are triangles.