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Cube on a Cylinder

Cube on a Cylinder
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2017-10-18 02:08
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the geometric relationship between a cube and a cylinder. Key mathematical concepts include solid geometry, specifically cylinders and cubes. Using GeoGebra commands such as Circle, Intersect, Point, Angle, Tangent, Segment, Polygon, and Centroid, a dynamic model of a cube on a cylinder can be constructed. Suitable for high school or university-level solid geometry education.

GeoGebra Commands & Parameters

  1. Circle(O, r) → Cylinder
  2. Intersect(Cylinder, yAxis, 2) → Top
  3. Point(Cylinder) → Contact
  4. Angle(Top, O, Contact) → θ
  5. Tangent(Contact, Cylinder) → tang,
  6. Intersect(Circle[Contact, Rolled], tang, 1) → M
  7. Segment(Contact, M) → f
  8. Intersect(Circle[M, (2 * b)], tang) → LL, LR
  9. Polygon(LL, LR, 4) → Cube, g, h, i, j, A, B
  10. Centroid(Cube) → C