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Oblique Kite-Like Prism

Oblique Kite-Like Prism
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2020-03-17 12:31
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of an oblique kite-like prism. Key mathematical concepts include prisms, polygons, and solid geometry. Using GeoGebra commands such as Polygon, Segment, and Prism, the various faces and edges of the prism can be constructed. Suitable for high school or university-level solid geometry studies.

GeoGebra Commands & Parameters

  1. Polygon(C_1, A_2, D_1, B_1) → q1, c_1, a_1, d, b_1
  2. Segment(A_2, C_1) → f
  3. Prism(q1, E_1) → e, F_1, edgeAF, edgeDG, edgeBH, edgeEF, edgeFG, edgeGH, edgeEH, G_1, H_1, faceACEF, faceADGF, faceBDGH, faceBCEH, faceEFGH, edgeCE
  4. Net(e, OpenClose) → h, E, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, D, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, C, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, F, M, N, A, B, H
  5. Segment(E, C) → i
  6. Segment(F, D) → j
  7. Segment(C, A) → k
  8. Segment(D, B) → l
  9. OrthogonalLine(H, edgeKL, space) → m
  10. Intersect(i, j) → Z
  11. Intersect(k, l) → A_1
  12. Angle(E, Z, D) → α
  13. Angle(D, A_1, A) → β
  14. Segment(F, B_1) → p
  15. Length(j) → o
  16. Length(i) → q
  17. Length(k) → r
  18. Length(l) → s
  19. Segment(F, C) → f_1
  20. Length(f_1) → w
  21. Intersect(edgeKQ, edgeQR) → I
  22. Intersect(edgeOP, edgeKP) → J
  23. Intersect(edgeJO, edgeOP) → K
  24. Line(F, C) → g_1
  25. OrthogonalLine(I, g_1, space) → h_1
  26. Intersect(h_1, g_1) → G
  27. Segment(D_1, G) → i_1
  28. Segment(I, G) → j_1
  29. Angle(I, G, B_1) → δ
  30. Length(j_1) → n

AI Drawing Prompt Reference

Draw an oblique kite-like prism. Start by drawing the base quadrilateral, then construct the prism's sides and top. Add the prism's edges and angles, and finally draw the net of the prism to show its faces and edges.
The prompt above was compiled from the original drawing commands and is for reference only.