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Prisms to Cylinders Transformation

Prisms to Cylinders Transformation
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2020-04-23 02:38
Solid GeometryGeometric Construction
This example demonstrates how a prism evolves into a cylinder by dragging a slider, illustrating core concepts in solid geometry such as prisms, cylinders, geometric transformations, and vector operations. It leverages GeoGebra commands like Sequence, Polygon, Vector, and Translate to dynamically generate and translate polygons, simulating the volume transition. Ideal for high school students to enhance spatial reasoning and understand geometric transformations.

GeoGebra Commands & Parameters

  1. Sequence((cos(((2 * π) * i / n) + π / 6), (0.5 * sin(((2 * π) * i / n) + π / 6))), i, 1, n) → list1
  2. Polygon(list1) → poly1
  3. Vector(A, B) → u
  4. Translate(poly1, u) → poly1'
  5. Translate(list1, u) → list1'
  6. Sequence(Segment[(cos(((2 * π) * i / n) + π / 6), (0.5 * sin(((2 * π) * i / n) + π / 6))), (cos(((2 * π) * i / n) + π / 6), 3 + (0.5 * sin(((2 * π) * i / n) + π / 6)))], i, 1, n) → list2