MathPlotAI Logo MathPlotAI

Similarity Transformation and Prism Demo

Similarity Transformation and Prism Demo
Loading the math board and drawing, please wait…
2017-02-13 02:12
Solid GeometryTransformationGeometric Construction
This example demonstrates the geometric relationship between prisms and circles under similarity transformations. It involves core concepts like natural numbers, similarity transformation, prism, and circle. Constructed using commands such as Point, Vector, Textfield, and Sequence, it is suitable for high school mathematics teaching to understand spatial geometry and transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Textfield(f) → inputBox1
  4. Sequence((0, k), k, -3, 3) → SourcePtsMD
  5. Sequence((k, f(k)), k, -3, 3) → ExpGraphpts
  6. Vector(A_1, B_2) → v
  7. Sequence((f(k), k), k, -3, 3) → logGraphpts
  8. Vector(B_2, A_2) → w
  9. Sequence(Vector[(0, k), (2, (y_{zoom} * f(k)))], k, -3, 3) → ExpMD
  10. Sequence((2, (y_{zoom} * f(k))), k, -3, 3) → ExpTargPts
  11. Sequence(Vector[(2, k), (4, (y_{zoom} * f(k)))], k, -3, 3) → InvLogMD
  12. Sequence(Vector[(0, f(k)), (2, (y_{zoom} * g(f(k))))], k, -3, 3) → logMD