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3D Printing Tessellation

3D Printing Tessellation
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2018-12-11 06:02
VectorTrigonometrySolid GeometryTransformationGeometric Construction
In collections From POST-IT to 3D PRINTING: playing with squares and cubes
This example demonstrates how 3D printing can be used to create tessellation patterns. It involves core mathematical concepts such as geometry, symmetry, translation, 3D vectors, ellipses, limits, and exponential functions. The construction utilizes GeoGebra commands and objects like Intersect, Point, Circle, Polygon, Segment, and Mirror. Suitable for high school students and math enthusiasts studying 3D geometry and graphic design.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → H
  2. Point(xAxis) → I
  3. Circle(H, 2) → c
  4. Polygon(H, I, 4) → poly1, g, h, i, j, L, M
  5. Segment(H, L) → k
  6. Segment(M, I) → l
  7. Intersect(c, k, 1) → N
  8. Mirror(N, m) → N'
  9. Mirror(N, l) → N'_1
  10. Mirror(N'_1, m) → O
  11. Mirror(N', i) → N''_1
  12. Mirror(N'_1, i) → P
  13. Mirror(O, g) → O'_1
  14. Mirror(N, g) → N'_3
  15. Polygon(N'_3, H, I, O'_1, N, N', M, N''_1, P, L, N'_1, O) → poly2, n'_3, o, i_1, o'_1, h_1, n, n', m_1, n''_1, p, l_1, n'_1