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Journal for Geometry and Graphics 14 (2010), No. 1, 059--067
Copyright Heldermann Verlag 2010

Rose Surfaces and their Visualizations

Sonja Gorjanc
Faculty of Civil Engineering, University of Zagreb, Kaciceva 26, 10000 Zagreb, Croatia

We construct a new class of algebraic surfaces in three-dimensional Euclidean space that are generated by roses. We derive their parametric and implicit equations, investigate their singularities and visualize them with the program Mathematica.

Keywords: Rose curve, rose surface, singular point.

MSC: 51N20; 51M15, 14J25, 14J17

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