RecordNumber
1923
Author
Séquin, Carlo H.
Title of Article
Cross-Caps ‒ Boy Caps ‒ Boy Cups
Title Of Journal
Bridges
Publication Year
2013
Page
207-216
Notes
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
Abstract
We present a constructive, pictorial introduction to low-genus, non-orientable surfaces such as Mӧbius bands, cross-caps, and Boy’s surface. We explore the use of these compact surface elements as general building blocks to make topologically equivalent models of arbitrary complex surfaces immersed in 3D Euclidean space, such as Klein bottles and single-sided surfaces of higher genus. As a by-product we generate some models for geometrical sculptures and for other whimsical artifacts, such as self-intersecting hats and furniture with unusual shapes.
URL
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