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Net of a Hexagonal Prism

Net of a Hexagonal Prism
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2019-01-10 19:59
PolygonSolid GeometryGeometric Construction
This example demonstrates the net of a hexagonal prism and its construction process. Core math concepts include polygons, solid geometry, and geometric construction. Key GeoGebra commands/objects used are Polygon, Prism, Segment, Point, Rotate, Mirror. Suitable for high school students or teachers learning solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 6, xOyPlane) → poly1, a, F, b, c, d, e, f, C, D, E
  2. Prism(poly1, A + (0, 0, 4)) → g, G, faceEFKJ, face2, face3, edge1, edgeBG, edgeCH, edgeDI, edgeEJ, edgeFK, edge2, H, edgeGH, edgeHI, edgeIJ, edgeJK, edge3, I, J, K, face1, faceBCHG, faceCDIH, faceDEJI
  3. Segment(M, M + (0, 0, 2)) → h
  4. Point(h) → N
  5. Rotate(Polygon[E, D, I, J], (90° * t), Segment[D, E]) → poly2
  6. Rotate(Polygon[G, H, I, J, K, L], (90° * t), Segment[I, J]) → poly3
  7. Rotate(poly3, (90° * t), Segment[D, E]) → poly3'
  8. Rotate(Polygon[C, D, I, H], (60° * t), Segment[D, I]) → poly4
  9. Rotate(poly4, (90° * t), Segment[D, E]) → poly4'
  10. Mirror(poly4, OrthogonalPlane[Midpoint[D, E], Segment[D, E]]) → poly4'_1
  11. Rotate(poly4'_1, (90° * t), Segment[D, E]) → poly5
  12. Rotate(C, (60° * t), Segment[D, I]) → C'
  13. Mirror(Polygon[D, E, J, I], OrthogonalPlane[Midpoint[D, C'], Segment[D, C']]) → poly6
  14. Mirror(poly6, OrthogonalPlane[Midpoint[D, E], Segment[D, E]]) → poly6'
  15. Rotate(poly6, (90° * t), Segment[D, E]) → poly6'_1
  16. Rotate(poly6', (90° * t), Segment[D, E]) → poly6''
  17. Mirror(E, OrthogonalPlane[Midpoint[D, C'], Segment[D, C']]) → E'
  18. Mirror(poly4, OrthogonalPlane[Midpoint[E', C'], Segment[E', C']]) → poly4'_2
  19. Rotate(poly4'_2, (90° * t), Segment[D, E]) → poly7
  20. Rotate(poly3, (90° * t), Segment[D, E]) → poly3'_1
  21. Polygon(A, B, 6, xOyPlane) → poly8, i, R, j, k, l, m, n, O, P, Q
  22. Rotate(poly6', (90° * t), Segment[D, E]) → poly6''_1
  23. Rotate(poly4'_1, (90° * t), Segment[D, E]) → poly9
  24. Rotate(Polygon[E, D, I, J], (90° * t), Segment[D, E]) → poly10
  25. Rotate(poly4, (90° * t), Segment[D, E]) → poly4'_3
  26. Rotate(poly6, (90° * t), Segment[D, E]) → poly6'_2
  27. Rotate(poly4'_2, (90° * t), Segment[D, E]) → poly11