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Visser Shift GeoGebra Example

Visser Shift GeoGebra Example
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2015-03-10 02:40
SequenceSolid GeometryProbability & StatisticsGeometric Construction
This example demonstrates Kees Visser's Shift using GeoGebra, illustrating the interaction between fractions, cylinders, tree diagrams, isosceles triangles, and hypergeometric distribution. The core math concepts include fractions, geometric transformations, probability & statistics (hypergeometric distribution), and solid geometry. It is constructed using GeoGebra commands like Sequence and Polygon, along with objects such as N, A, list1, n1, n2, list2, list3, list4, list5, poly1, a, b, c, d. Suitable for high school and above, this example helps learners understand the combination of geometric transformations and probability statistics.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[A + (i, j), i, 0, N + 1], j, 0, N + 1) → list1
  2. Sequence(Sequence[poly4[Element[Element[list1, i], j], Element[Element[list1, i + 1], j], Element[Element[list1, i], j + 1], Element[Element[list1, i + 1], j + 1], i + j, (2 * N)], i, 1, j - 1], j, 1, N) → list2
  3. Sequence(Sequence[poly4[Element[Element[list1, i], j], Element[Element[list1, i + 1], j], Element[Element[list1, i], j + 1], Element[Element[list1, i + 1], j + 1], i + j, (2 * N)], i, j, N], j, 1, N) → list3
  4. Sequence(Sequence[poly4[Element[Element[list1, i], j], Element[Element[list1, i + 1], j], Element[Element[list1, i], j + 1], Element[Element[list1, i + 1], j + 1], N - j + i, N], i, 1, j], j, 1, N) → list4
  5. Sequence(Sequence[poly3[Element[Element[list1, i], j], Element[Element[list1, i], j + 1], Element[Element[list1, i + 1], j + 1], i - j, N], i, j + 1, N], j, 1, N) → list5
  6. Polygon(A, A + (N, 0), A + (N, N), A + (0, N)) → poly1, a, b, c, d

AI Drawing Prompt Reference

Create a figure composed of multiple isosceles trapezoids and triangles, combining them through geometric transformations and probability concepts. First, generate a series of isosceles trapezoids, then use these trapezoids to create a series of triangles. Finally, use these triangles and trapezoids to construct a quadrilateral, demonstrating the combination of geometric transformations and probability.
The prompt above was compiled from the original drawing commands and is for reference only.