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RecordNumber
1787
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Author
Ballegooijen, Walt van
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Title of Article
Playing with the Platonics: a new class of polyhedra
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Title Of Journal
Bridges
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Publication Year
2012
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Page
119-124
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Notes
Bridges 2012: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
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Abstract
Intrigued by the impossibility of making a closed loop of face-to-face connected regular tetrahedra, I wondered how adjustments to the polyhedron could make it loop-able. As a result I have defined a method to construct a whole class of new polyhedra based on the Platonic solids. By exploring this class I found several examples of polyhedra that do make closed loops possible, and sometimes it is possible to build 3D lattices or other regular 3D structures with them. This project was however not a complete analyses of all possibilities, but merely a short study
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URL
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Link To Document :