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Equivalent Tessellations

Equivalent Tessellations
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2025-02-05 18:33
In collections La fábrica de teselados
This example demonstrates the concept of equivalent tessellations. Key mathematical concepts include geometric transformations and vectors. Using the Vector and Sequence commands, multiple equivalent square tessellations are constructed. Suitable for middle school and above students to learn about geometric transformations and tessellations.

GeoGebra Commands & Parameters

  1. Vector(A, (A + B) / 2 + (abs(u) / 2 * UnitOrthogonalVector[u])) → v
  2. Sequence(Sequence[Translate[cuadrado2, Vector[(i * u) + (j * v)]], i, -20, 20], j, -20, 20) → lista2, {{{2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}, {2.809999999999999}}, {{2.809999999999999}, 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  3. 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