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Cube Intersection Demo

Cube Intersection Demo
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2019-12-05 21:18
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the intersection points of cube faces, edges, and vertices, showcasing spatial geometry properties. Core concepts include solid geometry, geometric construction, midpoint calculation, and slope analysis of line segments. GeoGebra commands used are Intersect, Point, Cube, Segment, Net, and Midpoint. Ideal for high school geometry education and spatial reasoning development.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → B
  2. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  3. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  4. Segment(G, C) → g
  5. Segment(C, D) → h
  6. Net(a, b) → c, J, S, T, U, V, W, faceJKLM, faceJMON, faceJKSR, faceKLUT, faceLMWV, K, faceNOPQ, edgeJM, edgeJK, edgeKL, edgeLM, edgeMO, edgeNO, edgeJN, edgeJR, edgeRS, L, edgeKS, edgeKT, edgeTU, edgeLU, edgeLV, edgeVW, edgeMW, edgeOP, edgePQ, edgeNQ, M, N, O, P, Q, R
  7. Midpoint(g) → Z
  8. Segment(F, Z) → m
  9. Segment(Z, D) → n
  10. Segment(T, D) → s
  11. Segment(F, C) → f
  12. Segment(C, D) → i
  13. Segment(T, C) → j