MathPlotAI Logo MathPlotAI

Prism Net by Arthur Lee

Prism Net by Arthur Lee
Loading the math board and drawing, please wait…
2013-12-26 12:22
PolygonSolid Geometry
This example demonstrates the net of a prism. Key mathematical concepts include polygons and solid geometry. Using GeoGebra commands such as Polygon, OrthogonalLine, Circle, etc., the net of a prism can be constructed. Suitable for students at middle school level and above for learning solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. OrthogonalLine(B, a) → d
  3. OrthogonalLine(C, a) → e
  4. Circle(B, 6) → f
  5. Intersect(f, d, 1) → D
  6. OrthogonalLine(D, d) → g
  7. Intersect(e, g) → E
  8. Polygon(B, D, E, C) → poly2, k, d_1, e_1, c_1
  9. LineBisector(k) → h
  10. Mirror(A, h) → A'
  11. Polygon(D, A', E) → poly3, e_2, d_2, a'
  12. OrthogonalLine(E, d_2) → j
  13. Rotate(E, 270*°, A') → E'
  14. Ray(A', E') → i
  15. Point(i) → F
  16. OrthogonalLine(F, j) → k_1
  17. Intersect(j, k_1) → G
  18. Polygon(A', F, G, E) → poly4, a'_1, f_1, m, e_3
  19. Rotate(A', 90*°, F) → A''
  20. Ray(F, A'') → l
  21. Point(l) → H
  22. Ray(E, A') → m_1
  23. OrthogonalLine(H, l) → n_1
  24. Intersect(m_1, n_1) → I
  25. Polygon(H, F, A', I) → poly5, n, f_2, a'_2, i_1
  26. Distance(A, B) → distanceAB
  27. Distance(A, C) → distanceAC
  28. Distance(B, D) → distanceBD
  29. Distance(B, C) → distanceBC
  30. Distance(E, G) → distanceEG
  31. Distance(F, H) → distanceFH

AI Drawing Prompt Reference

Draw the net of a prism consisting of two bases and three lateral faces. The bases are regular polygons, and the lateral faces are rectangles. Start by drawing the bases, then add three rectangles as lateral faces, ensuring their edges align with the bases. Connect all vertices to form the complete net.
The prompt above was compiled from the original drawing commands and is for reference only.