MathPlotAI Logo MathPlotAI

CMM Frame

CMM Frame
Loading the math board and drawing, please wait…
2014-07-27 23:00
VectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction of a CMM frame. Key mathematical concepts include geometric transformations, vectors, and coordinate geometry. Using GeoGebra commands such as Segment, Mirror, and Point, a complex geometric structure is constructed. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Segment(K, N) → h
  2. Segment(K, M) → g
  3. Segment(K, L) → f
  4. Segment(J, K) → e
  5. Mirror(cell1, j) → cell2
  6. Point(j) → B
  7. Mirror(B, xAxis) → C
  8. Line(A, D) → n
  9. Mirror(cell2, n) → cell4
  10. Mirror(cell1, n) → cell3
  11. Midpoint(A, B) → E
  12. Midpoint(B, D) → F
  13. Midpoint(D, C) → G
  14. Midpoint(C, A) → H
  15. Midpoint(C, B) → I
  16. Vector(A, B) → u
  17. Vector(A, C) → v
  18. Vector(C, D) → w
  19. Vector(B, D) → a
  20. Segment(H, F) → b
  21. Segment(E, G) → c
  22. Sequence(Translate[Sequence[Translate[tile, Vector[(n * u)]], n, -3, 3], Vector[(m * v)]], m, -3, 3) → tiling
  23. Line(H, E) → k
  24. Line(G, F) → l
  25. Segment(I, B) → p
  26. Segment(A, I) → q
  27. Line(H, G) → r
  28. Line(E, F) → s