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Solid Geometry Construction: Octahedron Analysis

Solid Geometry Construction: Octahedron Analysis
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2025-08-19 01:37
In collections Teselaciones regulares
This example demonstrates constructing an octahedron using GeoGebra and analyzing its geometric properties. Key mathematical concepts include solid geometry, spatial coordinate systems, and geometric transformations. Construction involves commands like Sphere, Sequence, CurveCartesian, and Surface, with dynamic parameter control. Suitable for high school students or college freshmen learning spati

GeoGebra Commands & Parameters

  1. Sphere(O, r) → a
  2. Sequence(CircleArc[(0, 0, 0), Vocta2(k, 1), Vocta2(k, 2)], k, 1, 12) → arcosOcta
  3. Sphere(O, r) → a'
  4. CurveCartesian(V1 + (t * (V2 - V1)), t, 0, 1) → c3
  5. Surface((r; arg((k * c3(t)) + ((1 - k) * V3)); alt((k * c3(t)) + ((1 - k) * V3))), k, 0, 1, t, 0, 1) → s