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3D Circular Cluster Model

3D Circular Cluster Model
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2018-07-29 04:10
CircleSolid GeometryGeometric Construction
This example demonstrates a 3D circular cluster model. Key mathematical concepts include the properties of circles and 3D geometric construction. Using GeoGebra commands Sequence and Sum, the size and position of the circular cluster can be dynamically adjusted. Suitable for high school and above students or teachers for teaching and research.

GeoGebra Commands & Parameters

  1. Sequence(Random[0, 360], i, 1, n, 1) → ang
  2. Sequence(Random[(r_{min} * 10), (r_{max} * 10)] / 10, i, 1, n, 1) → r
  3. Sum(L_1) → comp_{x}
  4. Sum(L_2) → comp_{y}

AI Drawing Prompt Reference

Create a 3D circular cluster model with multiple circles distributed in 3D space. First, generate a sequence of angles, then generate a sequence of radii, and finally draw circles in 3D space based on these angles and radii. You can adjust the number and size of the circles to observe the effects of different parameters on the model.
The prompt above was compiled from the original drawing commands and is for reference only.