Effects of the Numerical Values of the Parameters in the Gielis Equation on Its Geometries
Effects of the Numerical Values of the Parameters in the Gielis Equation on Its Geometries
The Lamé curve is an extension of an ellipse, the latter being a special case. Dr. Johan Gielis further extended the Lamé curve in the polar coordinate system by introducing additional parameters (n1, n2, n3; m): rφ=1Acosm4φn2+1Bsinm4φn3−1/n1, which can be applied to model natural geometries. Here, r is the polar …