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Transformation Principle Demo

Transformation Principle Demo
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2018-02-20 05:02
VectorCoordinate GeometrySolid GeometryTransformationParametric Equation
In collections Mathematics of Computer Graphics
This example demonstrates the dynamic transformation of a 3D cube under rotation, scaling, and translation. It involves core math concepts like spatial geometry transformations, vector operations, parametric equations, and coordinate geometry. Constructed using commands like Reverse, Segment, TableText, Textfield, Polygon, Vector, Line in GeoGebra, suitable for high school and above students to learn spatial transformations, matrix operations, and geometric constructions.

GeoGebra Commands & Parameters

  1. Reverse(H) → K
  2. Segment(A, D) → c
  3. Segment(D, C) → d
  4. Segment(C, B) → e
  5. Segment(B, A) → f
  6. Segment(A_1, D_1) → g
  7. Segment(D_1, C_1) → h
  8. Segment(C_1, B_1) → i
  9. Segment(B_1, A_1) → j
  10. Reverse(W) → W2
  11. TableText({W2}, "h") → text1
  12. Textfield(θ) → InputBox1
  13. Textfield(sx) → InputBox3
  14. Textfield(sy) → InputBox4
  15. Textfield(a) → InputBox5
  16. Textfield(b) → InputBox6
  17. Polygon(A, B, C, D) → P, a_5, b_5, c_1, d_1
  18. Polygon(A_1, B_1, C_1, D_1) → P', a_3, b_3, c_2, d_2
  19. Vector(E, Z) → u
  20. Line(E, Z) → k
  21. Line(E1, (N * Z)) → l