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GeoGebra 3D Modeling of {4,3} Tessellated Cube

GeoGebra 3D Modeling of {4,3} Tessellated Cube
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2025-08-19 01:40
In collections Teselaciones regulares
This example demonstrates the {4,3} tessellation (Schläfli symbol representing three squares meeting at each vertex) extended into three-dimensional space forming a cube structure. The core mathematical concepts include regular polyhedron tessellations, Euler's polyhedron formula, and {4,3} symmetry group properties. Construction details: As shown in the summary, it uses the Sphere command to crea

GeoGebra Commands & Parameters

  1. Sphere(O, r) → a
  2. Sequence(Segment[Vcubo2(k, 1), Vcubo2(k, 2)], k, 1, 12) → segCubo
  3. Sequence(CircleArc[(0, 0, 0), Vcubo2(k, 1), Vcubo2(k, 2)], k, 1, 12) → arcosCubo
  4. Sphere(O, r) → a'
  5. CurveCartesian(If[t ≤ 1, V1 + (t * (V2 - V1)), V2 + ((t - 1) * (V3 - V2))], t, 0, 2) → c4
  6. Surface((r; arg((k * c4(t)) + ((1 - k) * V4)); alt((k * c4(t)) + ((1 - k) * V4))), k, 0, 1, t, 0, 2) → s