Diagonally decomposed cube

My wife asked me whether I could make a "diagonally decomposed cube" to get her maths students thinking about other kinds of pyramids than the classic one with the "summit" above the centre point of the square base.
My wife asked me whether I could make a "diagonally decomposed cube" to get her maths students thinking about other kinds of pyramids than the classic one with the "summit" above the centre point of the square base.