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Thirteen's Polygon and Functions

Thirteen's Polygon and Functions
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2022-01-30 20:17
PolygonFunctionSolid GeometryGeometric Construction
In collections Multiplication Facts
This example demonstrates the construction of a thirteen-sided polygon and its relationship with piecewise functions. It involves core math concepts like polygons, integers, rational numbers, solids or 3D shapes, and piecewise functions. GeoGebra commands and objects used include Random, If, Shuffle, IndexOf, and LaTeX for construction. Suitable for high school and above learners to explore complex geometric shapes and function interactions.

GeoGebra Commands & Parameters

  1. Random(2, 12) → b
  2. Random(1, 2) → format
  3. If(b > 3, {"" + (c + floor(b / 2)) + "", "" + (c + ceil(a / 2)) + "", "" + (c - floor(b / 2)) + "", (("" * c) * "")}, {"" + (c - 1) + "", "" + (c - 2) + "", "" + (c + 1) + "", "" + c + ""}) → labelnums
  4. Shuffle(labelnums) → l1, {"10", "7", "9", "8"}
  5. IndexOf("" + c + "", l1) → d
  6. LaTeX(problemscorrect, true, true) → text4
  7. LaTeX(numberofproblems, true, true) → text3

AI Drawing Prompt Reference

Draw a thirteen-sided polygon and show its relationship with a piecewise function. First, randomly choose an integer greater than 3 as the number of sides, then generate corresponding vertex labels based on this number, randomly shuffle these labels, and finally use these labels to represent the values of the piecewise function.
The prompt above was compiled from the original drawing commands and is for reference only.