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Animation of Cube and Prism

Animation of Cube and Prism
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2016-12-18 09:03
Solid GeometryTransformationGeometric Construction
In collections CCSS High School: Geometry (Circle equations) CCSS High School: Geometry Circle Equations
This example demonstrates an animation of a cube and a prism. The core mathematical concepts involved are solid geometry and geometric construction. Using GeoGebra commands such as OrthogonalLine, Intersect, Polygon, etc., the models of the cube and prism are constructed, and their relationships are shown. Suitable for high school mathematics teaching and learning solid geometry.

GeoGebra Commands & Parameters

  1. OrthogonalLine(C, xOyPlane) → g
  2. Intersect(g, xOyPlane) → D
  3. Intersect(f, h) → B
  4. Polygon(A, B, D) → poly1, d, a_1, b
  5. PointIn(poly1) → E
  6. Sphere(E, C) → c
  7. Circle(E, Distance[A, C], xOyPlane) → k
  8. Angle(D, B, E) → α
  9. Dilate(A, If[0 < i ≤ 1, 1 - i, 0], B) → A'
  10. Segment(E, A') → j
  11. Dilate(B, If[1 < i ≤ 2, 2 - i, 0], D) → B'
  12. Segment(B, B') → l
  13. Dilate(D, If[2 < i ≤ 3, 3 - i, 0], A) → D'
  14. Segment(D, D') → m
  15. Dilate(D, If[3.5 < i ≤ 4.5, 4.5 - i, 0], C) → D'_1
  16. Segment(D, D'_1) → n
  17. Angle(C, D, E) → β
  18. Dilate(C, If[4.5 < i ≤ 5.5, 5.5 - i, 0], A) → C'
  19. Segment(C, C') → p
  20. Polygon(A, D, C) → poly2, c_1, a_2, d_1
  21. Distance(A, A') → distanceAA'
  22. Distance(A', B') → distanceA'B'

AI Drawing Prompt Reference

Draw an animation of a cube and a prism. Start by drawing the base of the cube, then construct the base of the prism. Use rotation and scaling operations to show the relationship between the cube and the prism. Finally, add angle markings and distance measurements to demonstrate their geometric properties.
The prompt above was compiled from the original drawing commands and is for reference only.