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Polygonal Prism Dissection

Polygonal Prism Dissection
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2017-09-11 06:02
Solid GeometryProbability & StatisticsGeometric Construction
This example demonstrates the dissection and reconstruction of a polygonal prism, involving core mathematical concepts such as prism, ellipse, fractions, stochastic process, set theory, and pie chart. It utilizes GeoGebra commands like Translate, Polygon, Prism, Segment, and Intersect, focusing on geometric transformations and spatial reasoning. Suitable for high school and advanced learners exploring solid geometry, probability & statistics, and geometric constructions.

GeoGebra Commands & Parameters

  1. Translate(A, v) → A'
  2. Translate(B, v) → B'
  3. Translate(C, v) → C'
  4. Translate(D, v) → D'
  5. Translate(E, v) → E'
  6. Polygon(A, B, C, D, E) → Base, a, b, c, d, e
  7. Prism(Base, A') → f, F, faceA'FGHI, edgeAA', edgeBF, h, edgeDH, edgeEI, edgeA'F, edgeFG, edgeGH, edgeHI, G, edgeA'I, H, I, faceAA'FB, faceBCGF, faceCDHG, faceDEIH, faceAA'IE
  8. Segment(A, D) → g
  9. Intersect(b, c) → J
  10. Segment(A, C) → h_1
  11. Segment(A', H) → i
  12. Segment(A', G) → j
  13. Polygon(A, D, E) → B_1, e_1, a_1, d_1
  14. Polygon(A, C, D) → B_2, d_2, a_2, c_1
  15. Polygon(A, B, C) → B_3, c_2, a_3, b_1