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Singularities of swept surfaces in Euclidean 3-space
AIMS Mathematics 2024, 9(9): 26049-26064
Published: 15 September 2024
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This study examines the local singularities of tube surfaces, especially those of swept surfaces (SS) in Euclidean 3-space E3. SS is created by moving a planar curve through space such that the trajectory of any point on the surface remains perpendicular to the plane. The Type-2 Bishop frame is considered, and the singularities of these SS are analyzed. Examples are offered and illustrated.

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