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RecordNumber
1784
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Author
Séquin, Carlo H.
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Title of Article
From Möbius Bands to Klein-Knottles
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Title Of Journal
Bridges
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Publication Year
2012
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Page
93-102
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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
A construction of various immersed Klein bottles that belong to different regular homotopy classes, and which thus cannot be smoothly transformed into one another, is introduced. It is shown how these shapes can be partitioned into two Möbius bands and how the twistedness of these bands defines the homotopy type. Some wild and artistic variants of Klein bottles are presented for their aesthetic appeal and to serve as study objects for analysis.
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URL
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Link To Document :
