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Wind Blowing Away Petals' Flower - Dynamic Geometry

Wind Blowing Away Petals' Flower - Dynamic Geometry
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2020-11-07 03:56
PolygonFunctionSolid GeometryTransformationSlider Animation
This GeoGebra example demonstrates a flower whose petals are blown away by the wind, combining natural phenomena with mathematical visualization. The core mathematical concepts involve polygons, trapezoids, cuboids (solid geometry), and exponential functions, while pie charts (circle charts) and arithmetic operations are used to design the petal distribution and variation. The construction uses Point commands to create key points (A, B, C, etc.) and Polygon commands to build petal shapes, with sliders or parameters controlling movement and rotation to simulate the wind effect. Suitable for middle and high school students, this example helps explore geometric composition, transformations, and exponential growth/decay in dynamic simulations, and can serve as a cross-disciplinary project between mathematics and art.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 1.157410903698423]) → B
  2. Polygon(A, B, C) → t1, c, a, b
  3. Point(Circle[B, 1]) → D
  4. Polygon(B, D, E) → t2, e, b_1, d
  5. Point(Circle[B, 1.0628264204469138]) → F
  6. Polygon(B, F, G) → t3, g, b_2, f
  7. Point(Circle[H, 1.4142135623730951]) → I
  8. Polygon(H, I, J) → t4, j, h, i

AI Drawing Prompt Reference

Draw a flower with petals made of multiple polygons, each rotating around a central point to simulate wind effect. Use sliders to control the rotation angle and position of the petals, with trapezoids and regular polygons forming the petal shapes, giving a 3D appearance. Some petals vary in size using exponential functions, and the flower is composed of multiple petals and circles, combining nature and mathematics.
The prompt above was compiled from the original drawing commands and is for reference only.