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Baum Rhombus

Baum Rhombus
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2016-03-10 00:10
PolygonGeometric Construction
This example demonstrates the construction of a Baum Rhombus. It involves concepts such as rhombus, cube, trapezoid, parabola, and circumcircle. Using GeoGebra commands like Segment, Circle, and Point, the construction of the rhombus and related geometric elements is illustrated. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(A, C) → b
  5. Line(C, a) → d
  6. Line(B, b) → e
  7. Intersect(d, e) → D
  8. Segment(C, D) → f
  9. Segment(B, D) → g
  10. Segment(A, D) → h
  11. Segment(C, B) → i
  12. Intersect(h, i) → E
  13. Angle(B, A, E) → α
  14. Angle(E, C, D) → β
  15. Angle(D, B, E) → γ
  16. Angle(E, A, C) → δ
  17. Angle(C, D, E) → ε
  18. Angle(E, B, A) → ζ
  19. Angle(A, C, E) → η
  20. Angle(E, D, B) → θ
  21. Angle(D, E, C) → ι
  22. Distance(g, a) → j
  23. Distance(A, E) → distanceAE
  24. Distance(D, E) → distanceDE
  25. Distance(B, E) → distanceBE
  26. Distance(E, C) → distanceEC
  27. Angle(A, E, B) → κ
  28. Angle(B, E, D) → λ
  29. Angle(C, E, A) → μ
  30. Segment(D, E) → k
  31. Segment(E, A) → l
  32. Segment(B, E) → m
  33. Segment(E, C) → n

AI Drawing Prompt Reference

Draw a rhombus involving a square, cube, trapezoid, parabola, and circle. Start by drawing a line segment and a circle with it as the diameter. Mark a point on the circle, connect it to the endpoints of the segment, and draw perpendiculars from this point and the other endpoint to the segment. The intersection of these perpendiculars gives a vertex of the rhombus. Connect this vertex to the center of the circle and draw the parallel side to complete the rhombus. Label the angles and side lengths, and illustrate the geometric relationships.
The prompt above was compiled from the original drawing commands and is for reference only.