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Chapter-24-5: Horizontal Slabs

Chapter-24-5: Horizontal Slabs
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2022-07-04 10:20
PolygonCoordinate GeometrySolid Geometry
This example demonstrates the construction of horizontal slabs. Key mathematical concepts include polygons and coordinate geometry. Using GeoGebra commands such as Surface, Zip, and Translate, the example constructs a 3D model of horizontal slabs. Suitable for high school or university geometry and solid geometry courses.

GeoGebra Commands & Parameters

  1. Surface(u, v, f(u, v), u, x0, x1, v, y0, y1) → s
  2. Zip((x0, (k * dlt)), k, Ln) → LA1
  3. Zip((x0, (k * dlt)), k, Ln - 1) → LA2
  4. Zip((x1, (k * dlt)), k, Ln) → LB1
  5. Zip((x1, (k * dlt)), k, Ln - 1) → LB2
  6. Zip(Polygon[P, Q, R, S], P, LA2, Q, LB2, R, LB1, S, LA1) → P1
  7. Zip((k * dlt), k, 1…n) → LM1
  8. Zip(Surface[s, val, (t * f(s, val - dlt / 2)), s, x0, x1, t, 0, 1], val, LM1) → Q1
  9. Zip((k * dlt), k, 0…(n - 1)) → LS1
  10. Zip((k * dlt), k, 1…n) → LS2
  11. Zip((x(P), y(P), f(x(P), y(P) - dlt / 2)), P, LB1) → PT1
  12. Zip((x(P), y(P) - dlt, z(P)), P, PT1) → PT2
  13. Zip(Surface[u, v, f(u, jj - dlt / 2), u, 0, 8, v, ii, jj], ii, LS1, jj, LS2) → ST
  14. Zip((k * dlt), k, 1…(n - 1)) → LM2
  15. Zip(Polygon[P, Q, R, S], P, LB1, Q, LB2, R, PT2, S, PT1) → Q01
  16. Translate(Q1, Vector[(0, (-dlt), 0)]) → Q2

AI Drawing Prompt Reference

Draw a 3D model consisting of multiple horizontal rectangles. These rectangles are arranged in three-dimensional space to form a cohesive structure. Connect the rectangles with line segments to maintain alignment. The overall model should appear as a series of parallel horizontal bands, similar to horizontal boards in architecture. Ensure the drawing is clear and lines are simple, suitable for geometry teaching.
The prompt above was compiled from the original drawing commands and is for reference only.