MathPlotAI Logo MathPlotAI

Swimming Pool Prism

Swimming Pool Prism
Loading the math board and drawing, please wait…
2016-05-09 18:42
FunctionSolid GeometryGeometric Construction
This example demonstrates the construction of a swimming pool prism. Key mathematical concepts include prisms, geometric mean, cubes, and cylinders. Using GeoGebra commands such as Segment and Line, the faces and edges of the prism are constructed. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. Segment(B, A) → f
  2. Segment(B, C) → g
  3. Segment(A, D) → h
  4. Segment(C, D) → i
  5. Segment(C, F) → j
  6. Segment(B, E) → k
  7. Segment(E, F) → l
  8. Segment(E, G) → m
  9. Segment(F, H) → n
  10. Segment(H, G) → p
  11. Line(A, I) → q
  12. Segment(A, I) → r
  13. Segment(I, J) → s
  14. Segment(J, D) → t
  15. Segment(K, G) → a
  16. Segment(K, L) → b
  17. Segment(L, H) → c
  18. Segment(L, J) → d
  19. Segment(K, I) → e

AI Drawing Prompt Reference

Draw a swimming pool-shaped prism with 8 vertices and 12 edges. Start by drawing the bottom quadrilateral ABCD, then draw the top quadrilateral EFGH, and connect corresponding vertices to form the prism's sides. Finally, draw a line segment from the bottom center point A to the top center point I, and another line segment from I to J to form one of the prism's sides.
The prompt above was compiled from the original drawing commands and is for reference only.