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Hexagonal Prism Cross Section Demo

Hexagonal Prism Cross Section Demo
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2016-06-23 23:46
PolygonSolid GeometryGeometric Construction
This example demonstrates various cross-sections of a hexagonal prism by manipulating three points. Key math concepts include solid geometry, cross-section geometry, and polygon properties. It uses commands like Prism, Point, Plane, and IntersectPath in GeoGebra for construction. Suitable for high school geometry education or exploratory activities to understand the relationship between 3D shapes and 2D cross-sections.

GeoGebra Commands & Parameters

  1. Prism((0, -3, 2), (2, -3, 1), (2, -3, -1), (0, -3, -2), (-2, -3, -1), (-2, -3, 1), (0, 3, 2)) → BoundingPrism, A, face5, face6, face7, face8, edge1, edge2, edge3, edge4, edge5, edge6, B, edge7, edge8, edge9, edge10, edge11, edge12, edge13, edge14, edge15, edge16, C, edge17, edge18, D, E, face1, face2, face3, face4
  2. Point(list1) → I
  3. Point(list1) → J
  4. Point(list1) → K
  5. Plane(I, J, K) → P
  6. IntersectPath(P, BoundingPrism) → BoundedPolygon_1, F, b, c, d, e, f, g, h, G, H, L, M, N, O, Q, a