MathPlotAI Logo MathPlotAI

Butterbaugh 3D Prisms

Butterbaugh 3D Prisms
Loading the math board and drawing, please wait…
2017-04-04 22:06
FunctionTrigonometrySolid GeometryCalculusGeometric Construction
In collections Volume and 3D Geometry Book
This example demonstrates the construction and properties of 3D prisms, involving core math concepts like prisms, power functions, differential calculus, rhombuses, circumcircles, and hypothesis testing. Construction highlights GeoGebra commands: Plane, OrthogonalLine, Point, Prism, PointIn. Suitable for high school and above mathematics education and geometry learning.

GeoGebra Commands & Parameters

  1. Plane(A, D, C) → b
  2. OrthogonalLine(A, b) → f
  3. Point(f) → H
  4. Prism(A, B, C, D, H) → a, E, edgeAB, edgeBC, edgeCD, edgeAD, edgeAH, edgeBE, edgeCF, edgeDG, edgeEH, edgeEF, F, edgeFG, edgeGH, G, faceABCD, faceABEH, faceBCFE, faceCDGF, faceADGH, faceEFGH
  5. PointIn(b) → I
  6. PointIn(b) → J
  7. PointIn(b) → K
  8. PointIn(b) → L
  9. Prism(I, J, K, L, P) → c, M, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIP, edgeJM, edgeKN, edgeLO, edgeMP, edgeMN, N, edgeNO, edgeOP, O, faceIJKL, faceIJMP, faceJKNM, faceKLON, faceILOP, faceMNOP