MathPlotAI Logo MathPlotAI

Pyramid in a Cube by madhav bhattarai

Pyramid in a Cube by madhav bhattarai
Loading the math board and drawing, please wait…
2020-04-25 17:48
PolygonSolid GeometryParametric EquationGeometric Construction
This example demonstrates how to construct a pyramid inside a cube, involving core math concepts like solid geometry, polygons, parametric curves, and geometric construction. Key GeoGebra commands/objects used include Intersect, Point, Polygon, Cube, Net, and Pyramid, making it suitable for high school students to enhance spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. Cube(poly1, true) → a, E, edgeAE, edgeDH, edgeEH, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceADHE, faceABFE, faceBCGF, faceCDHG, faceEFGH
  5. Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceKLST, faceILMN, faceIJPO, faceJKRQ, J, faceSTUV, edgeIL, edgeIJ, edgeJK, edgeKL, edgeKT, edgeST, edgeLS, edgeLM, edgeMN, K, edgeIN, edgeIO, edgeOP, edgeJP, edgeJQ, edgeQR, edgeKR, edgeTU, edgeUV, edgeSV, L, M, N, O, P, Q
  6. Pyramid(faceSTUV, 2) → d, W, faceSTW, faceTUW, faceUVW, faceSVW, edgeSW, edgeTW, edgeUW, edgeVW
  7. Pyramid(faceKLST, 2) → e, Z, faceKLZ, faceKTZ, faceSTZ, faceLSZ, edgeLZ, edgeKZ, edgeTZ, edgeSZ
  8. Pyramid(faceJKRQ, 2) → j, A_1, face1, face2, face4, face3, edge2, edge1, edge3, edge4
  9. Pyramid(faceIJPO, 2) → k, B_1, face5, face6, face8, face7, edge6, edge5, edge7, edge8
  10. Pyramid(faceIJKL, 2) → l, C_1, face10, face9, face11, face12, edge12, edge9, edge10, edge11
  11. Pyramid(faceILMN, 2) → m, D_1, face13, face15, face16, face14, edge13, edge14, edge15, edge16