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Pyramid Rotation

Pyramid Rotation
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2019-11-05 04:37
Solid GeometryTransformationGeometric Construction
This example demonstrates the rotation of a pyramid. Key mathematical concepts include solid geometry transformations. Using GeoGebra commands such as Polygon and Rotate, a rotating pyramid model is constructed. Suitable for high school solid geometry education or related mathematical exploration.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4, xOyPlane) → poly1, f, g, h, i, C, D
  2. Pyramid(poly1, 5.240528948670709) → a, E, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  3. Centroid(poly1) → F
  4. Line(F, E) → j
  5. Line(A, j) → k
  6. Rotate(a, α, k) → a'
  7. Rotate(C, α, k) → C'
  8. Rotate(E, α, k) → E'
  9. Rotate(D, α, k) → D'
  10. Rotate(B, α, k) → B'

AI Drawing Prompt Reference

Draw a square pyramid with base ABCD and apex E. First, draw the base ABCD, then construct the pyramid with a height of 5.240528948670709. Find the centroid F of the base, draw a line j through F and E, and draw a line k through A and j. Rotate the pyramid and the base ABCD around line k by angle α to get the rotated pyramid A'B'C'D'E'.
The prompt above was compiled from the original drawing commands and is for reference only.