Generalized Rose Surfaces and their Visualizations
Sonja Gorjanc, Ema Jurkin
TL;DR
This paper introduces a new class of algebraic surfaces generated by cyclic-harmonic curves and circle congruences, analyzing their properties and visualizing them using Mathematica.
Contribution
The paper presents a novel class of algebraic surfaces constructed from cyclic-harmonic curves and circle congruences, with detailed property analysis and visualization techniques.
Findings
New class of algebraic surfaces introduced
Properties of these surfaces analyzed
Visualizations created with Mathematica
Abstract
In this paper we construct a new class of algebraic surfaces in three-dimensional Euclidean space generated by a cyclic-harmonic curve and a congruence of circles. We study their properties and visualize them with the program Mathematica.
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Taxonomy
TopicsMathematics and Applications · Advanced Theoretical and Applied Studies in Material Sciences and Geometry · History and Theory of Mathematics