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Tetrahedron 3D Tessellation

Tetrahedron 3D Tessellation
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2025-08-19 01:37
In collections Teselaciones regulares
This example demonstrates the 3D tessellation of a tetrahedron. The core mathematical concepts include the structure of a regular tetrahedron in solid geometry. Using GeoGebra commands such as Sphere, Sequence, CurveCartesian, and Surface, the geometric model of the tetrahedron is constructed. Suitable for high school or university solid geometry courses.

GeoGebra Commands & Parameters

  1. Sphere(O, r) → a
  2. Sequence(Segment[Vtetra2(k, 1), Vtetra2(k, 2)], k, 1, 6) → segTetra
  3. Sequence(CircleArc[(0, 0, 0), Vtetra2(k, 1), Vtetra2(k, 2)], k, 1, 6) → arcosTetra
  4. Sphere(O, r) → a'
  5. CurveCartesian(V1 + (t * (V2 - V1)), t, 0, 1) → c3
  6. Surface((r; arg((k * c3(t)) + ((1 - k) * V3)); alt((k * c3(t)) + ((1 - k) * V3))), k, 0, 1, t, 0, 1) → s