Octahedron Demonstration

Octahedron Demonstration
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2016-06-28 04:11
This example demonstrates the construction and basic properties of an octahedron. The core mathematical concepts involved include polygons, solid geometry, and parametric equations. Key GeoGebra commands and objects used in the construction, as extracted from the summary, are RotateText (rotating text), Sphere (sphere), Intersect (intersection), Polygon (polygon), Pyramid (pyramid), and Segment (segment). It is suitable for high school and above students studying solid geometry, spatial figures, and parametric equations.

GeoGebra Commands & Parameters

  1. RotateText("uStas\;\&\,Т.С.", 90°) → надпись01
  2. Sphere(Q, (3 * m)) → Ω
  3. Intersect(Line[Q, xAxis], Ω) → K_1, K
  4. Intersect(Line[Q, yAxis], Ω) → N_1, N
  5. Intersect(zAxis, Ω) → M_1, M
  6. Polygon(K, N, K_1, N_1) → s1, k, n, k_1, n_1
  7. Pyramid(s1, M) → c, граньKMN, грань2, грань1, грань3, реброKM, реброMN, ребро1, ребро2
  8. Pyramid(s1, M_1) → d, грань7, грань5, грань4, грань6, ребро4, ребро6, ребро3, ребро5
  9. Segment(K, M) → a