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Anamorphic Solid Image Demonstration

Anamorphic Solid Image Demonstration
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2020-04-21 16:47
VectorCoordinate GeometrySolid Geometry
This example demonstrates anamorphic images for solid shapes. It involves the concepts of similar triangles and vectors. Using GeoGebra commands such as PointIn, Polygon, Prism, Intersect, Segment, and Vector, the construction of anamorphic images for solid shapes is illustrated. Suitable for high school mathematics education and learning solid geometry.

GeoGebra Commands & Parameters

  1. PointIn(f) → A
  2. PointIn(f) → B
  3. PointIn(f) → C
  4. PointIn(f) → D
  5. Polygon(A, B, C, D) → q1, a, b, c, d
  6. Prism(q1, 5) → e, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
  7. Polygon(I, L, Q, M) → q2, i, l, q, m
  8. Intersect(edgeBF, b) → R
  9. Polygon(I, M, N, R) → q3, i_1, m_1, n, r
  10. Polygon(Q, O, N, M) → q4, q_1, o, n_1, m_2
  11. Segment(P, O) → g
  12. Segment(N, P) → h
  13. Segment(Q, P) → j
  14. Segment(L, P) → p
  15. Segment(I, P) → s
  16. Segment(R, P) → t
  17. Vector(P, K) → v_1

AI Drawing Prompt Reference

Draw an anamorphic image of a cube, starting with vertices A, B, C, and D to form a quadrilateral, then build a pentagonal prism based on this quadrilateral. Find point R on BF such that BR intersects with edge b of quadrilateral ABCD. Form another quadrilateral with vertices I, M, N, and R, and repeat this process to create four quadrilaterals. Connect these points with line segments and use a vector to indicate the direction from point P to point K.
The prompt above was compiled from the original drawing commands and is for reference only.