Fixed-axis spacelike ruled surfaces and their evolute offsets.
basic_science · Level V
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- Record sourced from PubMed, PMID 40478817.
- Also identified by DOI 10.1371/journal.pone.0325051 and PMC identifier 12143529.
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Abstract
This study investigates fixed-axis spacelike ruled surfaces and their evolute offset counterparts within [Formula: see text] (Minkowski 3-space). The analysis utilizes the Blaschke frame associated with the striction curves of these surfaces. Spacelike ruled surfaces play a crucial role in various fields of both classical and modern physics. The research begins by introducing the fundamental concepts of fixed-axis spacelike ruled surfaces and defining a height function that establishes the necessary criteria for a ruled surface to be classified as a fixed-axis spacelike ruled surface. Subsequently, the study derives parameterization for both the fixed-axis spacelike ruled surfaces and their evolute offsets. Finally, several surface models are extended and visually represented through graphical illustrations.
Medical subject headings
- Models, Theoretical