On Hybrid Curves
In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. How...
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| Published in | Journal of Engineering Technology and Applied Sciences Vol. 8; no. 3; pp. 119 - 130 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
31.12.2023
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| Online Access | Get full text |
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| Summary: | In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes. |
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| ISSN: | 2548-0391 2548-0391 |
| DOI: | 10.30931/jetas.1338660 |