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Construct Coordinates for Convex Polyhedra

Construct Coordinates for Convex Polyhedra
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2015-11-14 20:16
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to construct convex polyhedra using coordinates. Key mathematical concepts include coordinate geometry and solid geometry. Using GeoGebra commands such as Sum, If, Textfield, etc., various convex polyhedra can be constructed. Suitable for high school and above students or teachers for teaching or self-study.

GeoGebra Commands & Parameters

  1. Sum(Join[Sequence[Sequence[sqrt((Element[Element[A00, i], 1] - Element[Element[A00, j], 1])^(2) + (Element[Element[A00, i], 2] - Element[Element[A00, j], 2])^(2) + (Element[Element[A00, i], 3] - Element[Element[A00, j], 3])^(2)), j, i + 1, n], i, 1, n - 1]]) → pp
  2. If(bu, "Pause", "Play") → caption
  3. Textfield(h) → inputBox1
  4. Textfield(n) → inputBox2
  5. Textfield(ε) → inputBox3
  6. If(dd < ε, 0, 1) → bu2
  7. Sequence((2 * Element[pumfang0, i] / (((i + 3) * (i + 2)))), i, 1, Length[pumfang0]) → pumfang1
  8. Sum(Zip[(T * F), T, SysTimeAkt1, F, {1, 1000, 60000, 3600000, 86400000}]) → TimeAbs1
  9. Sum(Zip[(T * F), T, SysTimeAkt2, F, {1, 1000, 60000, 3600000, 86400000}]) → TimeAbs2
  10. Div(TimeRelab, 3600) → H
  11. Div(TimeRelab - (H * 3600), 60) → M
  12. Element(ZwZeit, step) → text10
  13. TableText({Append[" i Duration", Last[ZwZeit, Min[10, Length[ZwZeit]]]]}, "v") → text2c