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Golden Sunflower

Golden Sunflower
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2013-05-27 21:25
AngleTrigonometryProbability & StatisticsGeometric ConstructionSlider Animation
This example demonstrates constructing sunflower seed patterns by varying angles. It involves core math concepts like angles, ratios, hypergeometric distribution, conditional probability, rhombus, step functions, and differential calculus. Construction highlights include GeoGebra commands: Point, CircleArc, Polygon, Sequence, and Textfield. Suitable for high school and above learners exploring geometric constructions and probability statistics applications.

GeoGebra Commands & Parameters

  1. Point(c) → D
  2. CircleArc(B, C, D) → d
  3. Point(c_2) → D_1
  4. Point(c) → F
  5. Point(c) → G
  6. Polygon(F, G, H) → poly1, h, f, g
  7. Sequence(Polygon[Rotate[F, 15° * i, (0, 0)], Rotate[G, 15° * i, (0, 0)], Rotate[H, 15° * i, (0, 0)]], i, 0, 23) → list2
  8. Textfield(ang) → inputBox1
  9. Sequence(((r + i) * cos(theta), (r + i) * sin(theta)), i, 0, r / 100000) → list1

AI Drawing Prompt Reference

Draw a sunflower seed pattern by rotating triangles and adjusting angles, with a slider to control the rotation angle and a text field to display the angle value. The pattern consists of multiple rotating triangles around a central point, with expanding circular arcs, showcasing geometric construction and probability statistics applications.
The prompt above was compiled from the original drawing commands and is for reference only.