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Triangular Pyramid Example

Triangular Pyramid Example
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2016-05-14 02:11
PolygonVectorSolid GeometryCalculusGeometric Construction
This example demonstrates the 3D construction and net of a triangular pyramid. It involves core math concepts like solid geometry, vectors, polygons, piecewise functions, and Riemann sums. The construction uses commands like Polygon, Pyramid, Net, and PointIn, along with objects such as points, faces, and edges. It is suitable for high school and above, aiding in visualizing complex geometric shapes and understanding calculus and vector principles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. Pyramid(poly1, b) → c, E, faceABE, faceBCE, faceACE, edgeAE, edgeBE, edgeCE
  3. Net(c, a) → d, D, faceDGJ, edgeDF, edgeFG, edgeDG, edgeDH, edgeFH, edgeFI, edgeGI, edgeGJ, edgeDJ, F, G, H, I, J, faceDFG, faceDFH, faceFGI
  4. PointIn(faceDGJ) → PointfaceDGJ
  5. PointIn(faceFGI) → PointfaceFGI
  6. PointIn(faceDFH) → PointfaceDFH
  7. PointIn(faceDFG) → PointfaceDFG

AI Drawing Prompt Reference

Draw a triangular pyramid with base triangle ABC and three side triangles ABE, BCE, and ACE. Then draw the net of the pyramid, including base triangle ABC and side triangles DFG, DFH, and DFG. Finally, place some points on the side triangles, such as DGJ, FGI, DFH, and DFG.
The prompt above was compiled from the original drawing commands and is for reference only.