MathPlotAI Logo MathPlotAI

Butterbaugh 3D Pyramid Demo

Butterbaugh 3D Pyramid Demo
Loading the math board and drawing, please wait…
2017-04-04 22:17
PolygonSolid GeometryGeometric Construction
In collections Volume and 3D Geometry Book
This example demonstrates the construction and visualization of a 3D pyramid. It involves core mathematical concepts like solid geometry, polygon construction, and relationships between points and lines. Key GeoGebra commands used include Polygon, OrthogonalLine, Intersect, Plane, Point, Pyramid, and PointIn. Suitable for high school and above students studying solid geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. OrthogonalLine(D, f) → k
  3. OrthogonalLine(E, g) → l
  4. Intersect(k, l) → F
  5. Plane(poly1) → a
  6. OrthogonalLine(F, a) → m
  7. Point(m) → G
  8. Pyramid(poly1, G) → b, faceABG, edgeEG, faceBCG, faceCDG, faceDEG, faceAEG, edgeAG, edgeBG, edgeCG, edgeDG
  9. Plane(G, a) → c
  10. PointIn(c) → H
  11. Pyramid(poly1, H) → d, faceABH, edgeEH, faceBCH, faceCDH, faceDEH, faceAEH, edgeAH, edgeBH, edgeCH, edgeDH