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An Elongated Pentagonal Orthocupolarotunda is a polyhedron with exactly 37 faces, 15 of which are...

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An Elongated Pentagonal Orthocupolarotunda is a polyhedron with exactly 37 faces, 15 of which are squares, 7 of which are regular pentagons, and 15 of which are triangles. How many vertices does it have?

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