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Motion Attractor with Many Balls

Motion Attractor with Many Balls
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2019-01-10 19:41
PolygonCoordinate GeometryGeometric Construction
In collections GeoGebraScript for Making Constructions and Animations
This example demonstrates the motion trajectories of multiple balls around an attractor point. Key mathematical concepts include geometric construction and locus. Using commands like Polygon, RandomUniform, and Circle, the dynamic motion of multiple balls around the attractor point can be constructed. Suitable for high school and above students to learn geometric construction and dynamic geometry.

GeoGebra Commands & Parameters

  1. Polygon((-15, -10), (15, -10), (15, 10), (-15, 10)) → Box, f, g, h, i
  2. RandomUniform(0.008, 0.01) → S1
  3. RandomUniform(0.008, 0.01) → T1
  4. Circle((A1, B1), 0.7) → D1
  5. Circle((A2, B2), 0.7) → D2
  6. Circle((A3, B3), 0.7) → D3
  7. Circle((A4, B4), 0.7) → D4
  8. Circle((A5, B5), 0.7) → D5
  9. Circle((A6, B6), 0.7) → D6
  10. Circle((A7, B7), 0.7) → D7
  11. Circle((A8, B8), 0.7) → D8

AI Drawing Prompt Reference

Draw a rectangle with 8 circles inside, each with a radius of 0.7. First, draw a rectangle, then randomly generate the centers of the 8 circles within the rectangle, with each center's coordinates determined by random numbers, and finally draw these circles.
The prompt above was compiled from the original drawing commands and is for reference only.