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Diagonals of Polygons by sonom

Diagonals of Polygons by sonom
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2013-12-15 05:32
PolygonGeometric Construction
In collections Regular Polygons
This example demonstrates how to dynamically visualize the number and arrangement of diagonals in polygons. Key math concepts include polygons, diagonals, and combinatorial mathematics. It uses GeoGebra commands like Sequence, Polygon, and Slider. Suitable for high school mathematics education to understand diagonal properties and calculations.

GeoGebra Commands & Parameters

  1. Sequence(Rotate[B, m * 360 * ° / n, A], m, 0, n) → list1
  2. Polygon(list1) → poly1, , , , , ,
  3. Sequence(Sequence[Segment[Element[list1, j], Element[list1, i]], i, j + 2, If[j ≟ 1, n - 1, n]], j, 1, n - 2) → list2

AI Drawing Prompt Reference

Create a dynamic visualization showing the number and arrangement of diagonals in polygons, by rotating vertices and connecting non-adjacent ones to form diagonals, with a slider to control the number of sides, illustrating the formation process and combinatorial relationships of diagonals.
The prompt above was compiled from the original drawing commands and is for reference only.