MathPlotAI Logo MathPlotAI

Max Bill Geometric Construction by Mihaela Git

Max Bill Geometric Construction by Mihaela Git
Loading the math board and drawing, please wait…
2017-12-29 21:35
TrianglePolygonGeometric Construction
In collections Paintings modeled in Geogebra
This example demonstrates how to construct Max Bill's geometric shapes using GeoGebra, involving polygons, triangles, and centroid points. Key math concepts include polygon construction, midpoints, line segments, intersection points, center of gravity, function graphs, and exponential functions. Construction highlights: utilizes commands like Polygon, Intersect, Midpoint, and Segment. Suitable for high school mathematics teaching, showcasing geometric construction techniques and the integration of functions with geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Intersect(h, i) → E
  3. Intersect(g, h) → F
  4. Intersect(f, i) → G
  5. Intersect(f, g) → H
  6. Midpoint(h) → I
  7. Midpoint(i) → J
  8. Midpoint(g) → K
  9. Midpoint(f) → L
  10. Segment(D, B) → j
  11. Midpoint(j) → M
  12. Segment(C, A) → k
  13. Segment(J, L) → l
  14. Segment(L, K) → m
  15. Segment(K, I) → n
  16. Segment(I, J) → p
  17. Intersect(j, p) → N
  18. Intersect(k, n) → O
  19. Intersect(k, l) → P
  20. Intersect(j, m) → Q
  21. Intersect(f, l) → R
  22. Intersect(j, k) → S
  23. Intersect(h, n) → T
  24. Intersect(g, m) → U
  25. Intersect(i, l) → V
  26. Polygon(A, P, L) → t1, l_1, a, p_1
  27. Polygon(J, A, P) → t2, p_2, j_1, a_1
  28. Polygon(J, N, M, P) → q1, j_2, n_1, m_1, p_3
  29. Polygon(J, D, N) → t3, n_2, j_3, d
  30. Polygon(D, I, N) → t4, n_3, d_1, i_1
  31. Polygon(N, I, O, M) → q2, n_4, i_2, o, m_2
  32. Polygon(M, P, L, Q) → q3, m_3, p_4, l_2, q
  33. Polygon(M, O, K, Q) → q4, m_4, o_1, k_1, q_1
  34. Polygon(L, B, Q) → t5, q_2, l_3, b
  35. Polygon(Q, K, B) → t6, b_1, q_3, k_2
  36. Polygon(O, C, K) → t7, k_3, o_2, c
  37. Polygon(O, I, C) → t8, c_1, o_3, i_3

AI Drawing Prompt Reference

Draw a complex geometric shape composed of multiple polygons, including several triangles and centroid points. Start by creating a hexagon, then find the midpoints of its sides and connect these midpoints to form a new polygon. Next, draw several triangles inside the hexagon, with their vertices at the vertices of the hexagon and the centroid. Finally, connect these triangles and centroid points to form a complex geometric pattern.
The prompt above was compiled from the original drawing commands and is for reference only.