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Airplane Tessellation

Airplane Tessellation
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2019-05-08 08:35
PolygonTransformationGeometric Construction
In collections From POST-IT to 3D PRINTING: playing with squares and cubes
This example demonstrates how to create an airplane tessellation pattern using GeoGebra. Key mathematical concepts include geometric transformations and polygons. Using commands like Polygon, Segment, Circle, Intersect, Rotate, and Mirror, a beautiful tessellation pattern can be constructed. Suitable for middle school and above students to learn about geometric transformations and tessellations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → polígono1, f, g, h, i, C, D
  2. Segment(A, C) → j
  3. Circle(A, Distance[A, C] / 4) → c
  4. Circle(C, Distance[A, C] / 4) → d
  5. Intersect(c, j) → E,
  6. Intersect(d, j) → F,
  7. Rotate(E, 90°, A) → E'
  8. Rotate(F, 270°, C) → F'
  9. Polygon(D, E', A, E, B, F, C, F') → polígono4, d_1, e', a_2, e_1, b_1, f_2, c_1, f'
  10. Mirror(D, B) → D'
  11. Mirror(E', B) → E''
  12. Mirror(A, B) → A'
  13. Mirror(E, B) → E'_1
  14. Mirror(B, B) → B'
  15. Mirror(F, B) → F'_1
  16. Mirror(C, B) → C'
  17. Mirror(F', B) → F''
  18. Polygon(D', E'', A', E'_1, B', F'_1, C', F'') → polígono4', d', e'', a', e'_1, b', f'_1, c', f''