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Weighted Geometric Median

Weighted Geometric Median
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2018-12-21 19:36
VectorOptimizationGeometric Construction
This example demonstrates the concept of weighted geometric median, involving dynamic systems and automata. By adjusting points A, B, and C, one can observe the changes in the median. Key mathematical concepts include weighted geometric median, dynamic systems, and automata. It uses commands like Polygon, Segment, and Sphere for construction. Suitable for high school mathematics education and research.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Segment(A, F) → f
  3. Segment(B, F) → g
  4. Segment(C, F) → h
  5. Textfield(pA) → CasillaDeEntrada1
  6. Textfield(pB) → CasillaDeEntrada2
  7. Textfield(pC) → CasillaDeEntrada3
  8. Sphere(A', (rPorcent * pA^(1 / 3))) → d
  9. Sphere(B', (rPorcent * pB^(1 / 3))) → e
  10. Sphere(C', (rPorcent * pC^(1 / 3))) → i
  11. Segment(A, A') → j
  12. Segment(B, B') → k
  13. Segment(C, C') → l