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A circle comes to mind as the face of a right cylinder (which has 2 faces). The curved side is not considered a face.
The highest denomination US coin is the American Platinum Eagle. It was first made in 1997 and has a face value of 100 dollars.
In an Euler circuit we go through the whole circuit without picking the pencil up. In doing so, the edges can never be repeated but vertices may repeat. In a Hamiltonian circuit the vertices and edges both can not repeat. So Avery Hamiltonain circuit is also Eulerian but it is not necessary that every euler is also Hamiltonian.
A section of a sphere. If a sphere is cut in such a way that the plane of the cut is at right angles to a diameter, then no mater how far along the diameter the cut is made, the face of the cut will be a circle, and the remaining surface will be one continuous curve.
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