Weiszfeld Algorithm Demonstration
Loading the math board and drawing, please wait…
In collections
Besondere Punkte/Special Points
This example demonstrates the convergence behavior of the Weiszfeld algorithm, illustrating the iterative computation of the Fermat point for a set of points. Key mathematical concepts include iterative algorithms, Fermat point, and convergence. GeoGebra commands used are Segment (segment) and Text (text), with objects like init (initialization), drawPoints (drawing points), ANZ (number of points), FP (fixed point), P_{0} to P_{5} (points), S_{0} to S_{5} (segments), totLen (total length), CM (center point), PTXT (text position), txtlen (text length), LTXT (long text), txtlabel (text label), and A1 to A7 (auxiliary objects). Suitable for high school students and above to learn about optimization algorithms and their geometric interpretations.
GeoGebra Commands & Parameters
Segment(P_{0}, FP) → S_{0}Segment(P_{1}, FP) → S_{1}Segment(P_{2}, FP) → S_{2}Segment(P_{3}, FP) → S_{3}Segment(P_{4}, FP) → S_{4}Segment(P_{5}, FP) → S_{5}Text(totLen, PTXT) → txtlenText("Total Sum: ", LTXT, false, false) → txtlabel