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Pyramid and Prism

Pyramid and Prism
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2015-10-02 07:17
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the construction of pyramids and prisms in solid geometry. Key mathematical concepts include the geometry of pyramids and prisms. Using GeoGebra commands such as Intersect, Point, Segment, etc., the faces and edges of pyramids and prisms can be constructed. Suitable for middle school and above students or teachers for teaching or self-study.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Z
  2. Point(Circle[Z, a]) → Y
  3. Segment(Z, Y) → b
  4. Mirror(Y, Z) → B'
  5. OrthogonalLine(B', b) → c
  6. OrthogonalLine(Y, b) → d
  7. Rotate(Y, 90*°, Z) → B'_1
  8. Mirror(B'_1, Z) → X
  9. Line(B'_1, b) → e
  10. Line(X, b) → f
  11. Intersect(c, e) → D
  12. Intersect(d, e) → A
  13. Intersect(d, f) → B
  14. Intersect(c, f) → C
  15. Polygon(D, A, B, C) → poly1, d_1, e_1, f_1, g
  16. Prism(A, B, C, D, F) → j, G, edgeAB_1, edgeBC, edgeCD, edgeAD_1, edgeAF, edgeBG, edgeCH, edgeDI, edgeFG, edgeGH, H, edgeHI, edgeFI, I, faceABCD, faceABGF, faceBCHG, faceCDIH, faceADIF, faceFGHI
  17. Point(g) → J
  18. PointIn(faceFGHI) → E
  19. Pyramid(A, B, J, D, E) → i, faceABJD, edgeAE, edgeBE, edgeEJ, edgeDE, faceABE, faceBEJ, faceDEJ, faceADE, edgeAB, edgeBJ, edgeDJ, edgeAD

AI Drawing Prompt Reference

Draw a pyramid and a prism. First, construct a rectangular prism with base ABCD and top EFGH. Then, create a pyramid with vertices A, B, D, and a new point J on the top face EFGH.
The prompt above was compiled from the original drawing commands and is for reference only.