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Cube and Octahedron by Manuel Graf

Cube and Octahedron by Manuel Graf
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2016-09-28 17:37
Coordinate GeometrySolid GeometryGeometric Construction
In collections GeoGebra 3D Grafikrechner mit AR - Beispielsammlung
This example demonstrates the construction of a cube and an octahedron. Key mathematical concepts include the properties of a cube and an octahedron in solid geometry. Using GeoGebra commands such as Point, Cube, Midpoint, and Pyramid, the faces and edges of the cube and octahedron can be constructed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → a, D, FlächeCDHG, FlächeEFGH, KanteAD, KanteAB, KanteBC, KanteCD, KanteAE, KanteDH, KanteEH, KanteEF, E, KanteBF, KanteFG, KanteCG, KanteGH, F, G, H, FlächeABCD, FlächeADHE, FlächeABFE, FlächeBCGF
  3. Midpoint(E, B) → I
  4. Midpoint(D, E) → J
  5. Midpoint(E, G) → K
  6. Midpoint(F, C) → L
  7. Midpoint(G, D) → M
  8. Midpoint(C, A) → N
  9. Pyramid(M, L, I, J, K) → b, FlächeIJML_1, KanteKM, KanteKL, KanteIK, KanteJK, FlächeKLM, FlächeIKL, FlächeIJK, FlächeJKM, KanteLM_1, KanteIL_1, KanteIJ_1, KanteJM_1
  10. Pyramid(L, M, J, I, N) → c, FlächeIJML, KanteLN, KanteMN, KanteJN, KanteIN, FlächeLMN, FlächeJMN, FlächeIJN, FlächeILN, KanteLM, KanteJM, KanteIJ, KanteIL