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The rectangular pyramid got its name through its base, a rectangle.
a hexagonal pyramid.
a triangular based pyramid
Yes, the Great Pyramid of Giza is a square pyramid. From a birds eye view, you could see that the bottom is in the shape of a square. See: http://www.mathsisfun.com/geometry/pyramids.html
The pyramid on the back of the one-dollar bill is known as the Great Seal of the United States. It is a symbol of strength and durability. The pyramid represents the American ideals of unity, perseverance, and success. The eye above the pyramid is called the Eye of Providence and symbolizes divine guidance.