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Articulated Prism

Articulated Prism
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2022-03-03 02:52
Coordinate GeometrySolid GeometryTransformationGeometric Construction
In collections Linkages
This example demonstrates the construction and motion properties of an articulated prism. It involves core mathematical concepts such as geometric transformations, polygon constructions, and coordinate geometry. The construction uses GeoGebra commands like PointIn, IntersectConic, Point, and Circle. Suitable for high school students and math enthusiasts learning geometric constructions and mechanical linkages.

GeoGebra Commands & Parameters

  1. PointIn(Sphere[O, 1]) → A
  2. IntersectConic(Sphere[E, 1], Sphere[A, 1]) → c3
  3. IntersectConic(Sphere[U, 1], Sphere[A, 1]) → c2
  4. Point(c2) → B
  5. Circle(A, 1, Line[A, B]) → c4
  6. Circle(O, 1, yAxis) → c1

AI Drawing Prompt Reference

Draw an articulated prism by first picking a point A on a unit sphere, then constructing circle c4 through A and the intersection of the unit sphere with the circle centered at A. Next, pick a point B on the unit sphere, and construct circle c1 through A and B. Finally, draw a line through A and B, and find its intersection with circle c4 to get point B, forming the structure of the articulated prism.
The prompt above was compiled from the original drawing commands and is for reference only.