RecordNumber
1784
Author
Séquin, Carlo H.
Title of Article
From Möbius Bands to Klein-Knottles
Title Of Journal
Bridges
Publication Year
2012
Page
93-102
Notes
Bridges 2012: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
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.
URL
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