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It is topologically equivalent to a quotient space of the hyperbolic order-6 pentagonal tiling, by distorting the pentagrams back into regular pentagons.
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Within the west and east ravelin walls there is a redoubt - the pentagonal fortification used as a provisional powder magazine and as a gunsmith's.
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The apartments were expanded later, incorporating more cubic rather than pentagonal components.
en.wikipedia.org
Having twelve faces, it is a type of dodecahedron, although that name is usually associated with the regular polyhedral form with pentagonal faces.
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As this crossed pentagonal cuploid thus shares all its edges with this polyhedron, it may be termed an "edge-faceting" of it.
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One is the first figurate number of every kind, such as triangular number, pentagonal number and centered hexagonal number, to name just a few.
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Each corner had a raised outwardly-projecting pentagonal bastion tower, the highest points of the system.
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This polyhedron can be constructed by taking a pentagonal dipyramid and truncating the polar axis vertices, making is into two end-to-end frustums.
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The parity of centered pentagonal numbers follows the pattern even-even-odd-odd, and in base 10 the units follow the pattern 6-6-1-1.
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It is magenta in color, and its head has a pair of pentagonal sensors, arranged one above the other.
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