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Rotating Cuboids

Rotating Cuboids
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2018-02-20 07:55
Solid GeometryTransformationGeometric Construction
This example demonstrates the rotation of cuboids. Key mathematical concepts include rotation and translation transformations in solid geometry. Using GeoGebra commands such as Polygon, Prism, Midpoint, Circle, etc., a dynamic cuboid model can be constructed. Suitable for high school students and teachers for teaching geometric construction and solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4, xOyPlane) → poly1, f, g, h, i, C, D
  2. Prism(poly1, 0.2) → a, E, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, F, G, H, face1, face2, face3, face4, face5
  3. Midpoint(D, B) → I
  4. Circle(yAxis, I) → c
  5. Sequence(Rotate[a, (w * π / 18), yAxis], w, 1, 35) → L_1
  6. Midpoint(E, G) → J
  7. Line(I, J) → j
  8. Sequence(Rotate[j, (w * π / 36), yAxis], w, 1, 72) → L_2
  9. Sequence(Rotate[Rotate[a, (w * π / 36), yAxis], (w * π / 18), Element[L_2, w]], w, 1, 72) → L_3