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GeoGebra Powers of 1-5

GeoGebra Powers of 1-5
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2020-09-28 19:44
Probability & StatisticsGeometric Construction
This example demonstrates the power of numbers from 1 to 5, involving exponentiation, geometric transformations, and probability concepts. Construction uses commands like Midpoint, Sequence, and Polygon with parameters a, b, c, d to adjust the graph. Suitable for middle school students learning exponential functions or for geometric construction practice.

GeoGebra Commands & Parameters

  1. Midpoint(A, B) → F
  2. Midpoint(B, C) → G
  3. Midpoint(D, A) → J
  4. Midpoint(C, D) → I
  5. Sequence(Polygon[Dilate[A, 1 / 3, Element[P, k]], Dilate[B, 1 / 3, Element[P, k]], Dilate[C, 1 / 3, Element[P, k]], Dilate[D, 1 / 3, Element[P, k]]], k, 1, m) → S1
  6. Polygon(A, B, C, D) → S0, a, b, c, d
  7. Sequence(Dilate[S1, 1 / 3, Element[P, k]], k, 1, m) → S2
  8. Sequence(Dilate[S2, 1 / 3, Element[P, k]], k, 1, m) → S3
  9. Sequence(Dilate[S3, 1 / 3, Element[P, k]], k, 1, m) → S4
  10. Sequence(Dilate[S4, 1 / 3, Element[P, k]], k, 1, m) → S5

AI Drawing Prompt Reference

Draw a square ABCD, then shrink it by 1/3 successively four times to form a series of smaller squares. First, find the midpoints F, G, J, I of AB, BC, CD, DA, then construct a new square with these midpoints as vertices. Next, shrink the square successively four more times.
The prompt above was compiled from the original drawing commands and is for reference only.