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Regular hexagon in a cube

Regular hexagon in a cube
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2016-04-21 03:56
PolygonSolid GeometryGeometric Construction
This example demonstrates how to construct a regular hexagon inside a cube, involving core math concepts like solid geometry, angles, equilateral triangles, and polygon construction. It uses GeoGebra commands such as Point, Cube, Segment, and Polygon, along with vertices, faces, and edges. Suitable for high school and above students to explore spatial geometry and polygon relationships.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. 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
  3. Segment(I, J) → b
  4. Segment(J, K) → c
  5. Segment(K, L) → d
  6. Segment(L, M) → e
  7. Segment(M, N) → f
  8. Segment(N, I) → g
  9. Polygon(I, J, K, L, M, N) → poly1, i, j, k, l, m, n