Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve
نویسندگان
چکیده
منابع مشابه
Visualization of Tangent Developables on a Volumetric Display
A tangent developable is a developable surface constructed by the union of the tangent lines of a space curve. These surfaces have applications not only in mathematics but also in engineering, such as for designing cars, ships, and apparel. However, since tangent developables typically have complicated and twisted surfaces, it is difficult to understand their structures from their images on a 2...
متن کاملComments on Helical Developables
All normal lines of a helical developable Φ have the same distance to its axis a and make the same angle with a . This implies that on coaxial one-sheet hyperboloids of revolution or skew ruled helical surfaces with generators included in the normal-congruence of Φ any orthogonal trajectory of the rulings is located on a translate of Φ . Let line n be the normal of the helical developable Φ at ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2021
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2020.0617