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Hexagonal Prism

Hexagonal Prism
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2020-12-07 17:34
PolygonSolid GeometryGeometric Construction
In collections P1 P2 立體圖形 / 3D Shapes
This example demonstrates the 3D geometry and properties of a hexagonal prism. Core math concepts include polygons, solid geometry, and rotational symmetry. Construction highlights the use of GeoGebra commands like Line, Polygon, Rotate, and Prism. Suitable for high school and above students for learning 3D geometry and spatial visualization.

GeoGebra Commands & Parameters

  1. Line((0, 1, 0), (0, 0, 0)) → RotateAxis
  2. If(ShowChi, "依據立體底的形狀命名", "Naming by the base of the shape") → TextShowName2
  3. If(ShowChi, "立體高度", "Height") → TextSlider1
  4. If(ShowChi, "立體大小", "Size") → TextSlider2
  5. If(ShowChi, "立體位置(高低)", "Vertical Position") → TextSlider3
  6. If(ShowChi, "立體位置(橫向)", "Horizontal Position") → TextSlider4
  7. If(ShowChi, "施轉立體", "Rotate the shape") → TextSlider5
  8. If(ShowChi, "透明度", "Transparency") → TextSlider6
  9. If(ShowChi, "六角柱體", "Hexagonal Prism") → TextName2
  10. Polygon(ShapePt1, ShapePt2, ShapePt3, ShapePt4, ShapePt5, ShapePt6) → ShapeBase, shapept1, shapept2, shapept3, shapept4, shapept5, shapept6
  11. Rotate(ShapeBase, S5, ShapePtAxis, RotateAxis) → ShapeBaseR
  12. Prism(ShapeBaseR, (S1 * S2)) → Shape, A, face5, face6, face2, faceABCDEF, edge1, edge2, edge3, edge4, edge5, edge6, B, edgeAB, edgeBC, edgeCD, edgeDE, edgeEF, edgeAF, C, D, E, F, face1, face3, face4
  13. If(ShowChi, "角柱", "Prism") → TextName1

AI Drawing Prompt Reference

Create a 3D model of a hexagonal prism. First, define six vertices of the base and connect them into a hexagonal polygon to form the base face. Use the specified height to extend corresponding edges upward, forming the prism’s side faces and edges. Apply a rotation of the base around the given axis to reflect the overall orientation, then combine the rotated base with the height to obtain the full hexagonal solid. Include a label for the solid’s name and allow adjustable controls for height, size, vertical position, horizontal position, and transparency.
The prompt above was compiled from the original drawing commands and is for reference only.