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Pyramid Construction Demo by nsriley

Pyramid Construction Demo by nsriley
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2016-04-13 02:22
PolygonSolid GeometryGeometric Construction
This example demonstrates the 3D geometric construction and net of a pyramid, involving core math concepts like solid geometry, polygons, triangles, and spatial relationships. It uses commands like Point, Pyramid, and Net in GeoGebra for construction, suitable for high school geometry teaching or practice.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. Point(xAxis) → D
  5. Point(zAxis) → E
  6. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB, edgeBC, edgeCD, edgeAD
  7. Point(zAxis) → F
  8. Pyramid(faceADE, F) → b, faceADF, faceAEF, faceDEF, edgeDF, edgeAF, edgeEF
  9. Point(zAxis) → G
  10. Point(xAxis) → H
  11. Point(xAxis) → I
  12. Net(a, c) → d, J, faceJKN, faceKLO, faceLMP, faceJMQ, edgeJK, edgeKL, edgeLM, edgeJM, edgeJN, edgeKN, K, edgeKO, edgeLO, edgeLP, edgeMP, edgeMQ, edgeJQ, L, M, N, O, P, Q, faceJKLM
  13. Net(a, e) → f, R, faceRSV, faceSTW, faceTUZ, face1, edgeRS, edgeST, edgeTU, edgeRU, edgeRV, edgeSV, S, edgeSW, edgeTW, edgeTZ, edgeUZ, edge2, edge1, T, U, V, W, Z, A_1, faceRSTU
  14. Net(a, g) → h, B_1, face2, face4, face5, face3, edge3, edge7, edge10, edge4, edge5, edge8, C_1, edge9, edge11, edge12, edge13, edge14, edge6, D_1, E_1, F_1, G_1, H_1, I_1, face6
  15. Net(a, i) → j, J_1, face7, face9, face10, face8, edge15, edge19, edge22, edge16, edge17, edge20, K_1, edge21, edge23, edge24, edge25, edge26, edge18, L_1, M_1, N_1, O_1, P_1, Q_1, face11