MathPlotAI Logo MathPlotAI

Pentagonal Prism Dynamic Construction and Geometric Transformation

Pentagonal Prism Dynamic Construction and Geometric Transformation
Loading the math board and drawing, please wait…
2020-12-18 11:48
PolygonSolid GeometryTransformationGeometric ConstructionSlider Animation
In collections P1 P2 立體圖形 / 3D Shapes
This example demonstrates a pentagonal prism in 3D space with dynamic construction and transformation. It illustrates the geometric properties of prisms, including polygonal bases, lateral faces, and the effects of rotation and translation. The construction uses GeoGebra commands such as Line, If, Polygon, Rotate, and Prism, along with multiple auxiliary points (ShapePt1 to ShapePt5) and a rotation axis (RotateAxis). Sliders (TextSlider1-6) allow interactive adjustment of the prism's dimensions and orientation, while objects like ShowChi and TextShowChi display related angles or parameters. This resource is suitable for high school or early college students learning solid geometry, spatial reasoning, and parametric 3D modeling.

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, "透明度", "Transparency") → TextSlider6
  8. If(ShowChi, "旋轉立體", "Rotate the shape") → TextSlider5
  9. Polygon(ShapePt1a, ShapePt2a, ShapePt3a, ShapePt4a, ShapePt5a) → ShapeBase2D, f, g, h, i, j
  10. If(ShowChi, "用這圖形調節立體底部的形狀", "Adjust the base of the 3D shape by this figure.") → TextName3
  11. Polygon(ShapePt1, ShapePt2, ShapePt3, ShapePt4, ShapePt5) → ShapeBase, k, l, m, n, p
  12. If(ShowChi, "五角柱體", "Pentagonal Prism") → TextName2
  13. Rotate(ShapeBase, S5, ShapePtAxis, RotateAxis) → ShapeBaseR
  14. Prism(ShapeBaseR, (S1 * S2)) → Shape, A, face2, faceABCDE, edge1, edge2, edge3, edge4, edge5, edgeAB, edgeBC, edgeCD, B, edgeDE, edgeAE, C, D, E, face1, face3, face4, face5
  15. If(ShowChi, "角柱", "Prism") → TextName1

AI Drawing Prompt Reference

Draw a pentagonal prism with two pentagonal bases and lateral faces. First, draw two pentagonal bases, then rotate one base and connect it to the other to form the prism. Use sliders to adjust the height, size, position, and transparency of the prism, and rotate it to view it from different angles.
The prompt above was compiled from the original drawing commands and is for reference only.