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Triangular Pyramid Construction by 149500

Triangular Pyramid Construction by 149500
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2016-05-14 00:38
PolygonSolid GeometryGeometric Construction
This example demonstrates the geometric construction and properties of a triangular pyramid. It involves core math concepts like solid geometry, polygons, incircles of triangles, and geometric constructions. GeoGebra commands and objects used include Polygon, Pyramid, Net, and PointIn. Suitable for high school geometry teaching and construction practice.

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(faceFGI) → PointfaceFGI
  5. PointIn(faceDGJ) → PointfaceDGJ
  6. PointIn(faceDFG) → PointfaceDFG
  7. PointIn(faceDFH) → PointfaceDFH

AI Drawing Prompt Reference

Draw a triangular pyramid with a triangular base and three triangular faces. First, draw a triangle, then construct a pyramid with this triangle as the base. Next, draw the net of the pyramid, including the base and side triangles. Finally, select a point on each of the side triangles.
The prompt above was compiled from the original drawing commands and is for reference only.