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Surface of Cube and Circle

Surface of Cube and Circle
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2015-10-12 00:41
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the relationship between the surface of a cube and a circle. Key mathematical concepts include solid geometry and coordinate geometry. Using GeoGebra commands such as Point, Cube, Function, Sphere, etc., the faces of the cube and circles can be constructed. Suitable for high school or university solid geometry and coordinate geometry courses.

GeoGebra Commands & Parameters

  1. Point(Circle[(0.8059959770082348, -0.8059959770082348, -0.8059959770082348), Distance[(-0.8059959770082348, -0.8059959770082348, -0.8059959770082348), (0.8059959770082348, -0.8059959770082348, -0.8059959770082348)], Segment[(-0.8059959770082348, -0.8059959770082348, -0.8059959770082348), (0.8059959770082348, -0.8059959770082348, -0.8059959770082348)]]) → A
  2. Cube((-0.8059959770082348, -0.8059959770082348, -0.8059959770082348), (0.8059959770082348, -0.8059959770082348, -0.8059959770082348), A) → d, B, faceABFE, faceCDEF, arête2, arête1, arête4, arêteAB, arête3, arêteBF, arêteCF, arêteCD, C, arête5, arêteDE, arêteAE, arêteEF, D, E, F, face1, face3, face2, face4
  3. Function({0, 4, -1, 1, 1, -1, -1}) → ffs
  4. Sphere((0, 0, 0), 1) → j
  5. Segment((vv, 0), G) → l
  6. Segment((vv, 0), I) → m
  7. Segment((uu, 0), H) → n
  8. Segment((uu, 0), L) → q
  9. CurveCartesian((f(u) * ff(vv)), (g(u) * ff(vv)), g(vv), u, 0, 4) → e
  10. CurveCartesian((f(uu) * ff(v)), (g(uu) * ff(v)), g(v), v, 0.5, 2.5) → h
  11. Surface((f(u) * ff(v)), (g(u) * ff(v)), g(v), u, 0, U, v, 0.5, V) → b