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Triangular Prism

Triangular Prism
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2020-12-07 17:09
TrianglePolygonSolid Geometry
In collections P1 P2 立體圖形 / 3D Shapes
This example demonstrates the geometric construction of a triangular prism. It involves concepts of triangles and polygons. Using GeoGebra commands such as Line, Polygon, and Rotate, it dynamically shows the faces and edges of the triangular prism. Suitable for students at middle school level and above learning solid geometry.

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. Polygon(ShapePt1, ShapePt2, ShapePt3) → ShapeBase, shapept3, shapept1, shapept2
  10. Rotate(ShapeBase, S5, ShapePtAxis, RotateAxis) → ShapeBaseR
  11. Prism(ShapeBaseR, (S1 * S2)) → Shape, A, edge3, edgeAB, edgeBC, edgeAC, B, C, face1, face3, face2, faceABC, edge1, edge2
  12. If(ShowChi, "三角柱體", "Triangular Prism") → TextName2
  13. If(ShowChi, "角柱", "Prism") → TextName1

AI Drawing Prompt Reference

Create a 3D triangular prism solid. Start by drawing a triangle on the base plane and connect its three vertices to form the triangular polygon. Use this base triangle to construct the prism, showing the corresponding lateral faces and edges so the full triangular column solid is formed. Then rotate the entire prism around a vertical rotation axis to present different orientations. Include adjustable controls for the prism’s height, overall size, vertical and horizontal position, rotation angle, and transparency. Display the solid’s name (e.g., “Triangular Prism” / “Prism”) on the figure.
The prompt above was compiled from the original drawing commands and is for reference only.