Surface of Revolution: More Vases
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This example demonstrates the formation of vase shapes through rotating surfaces. It involves core mathematical concepts like surface of revolution, inequalities, quadratic functions, expected value, and plane figures. Construction highlights include using GeoGebra commands such as Spline, Surface, and CurveCartesian. Suitable for high school and above students to learn about rotating surfaces and their applications.
GeoGebra Commands & Parameters
Spline({C, D, E, F, G, H, I, J}, 3) → aSurface((x(a(t)) * cos(u)), y(a(t)), (x(a(t)) * sin(u)), t, 0, 1, u, 0, b) → cCurveCartesian((x(J) * cos(t)), y(J), (x(J) * sin(t)), t, 0, b) → dSurface((u * x(d(t))), y(J), (u * z(d(t))), t, 0, b, u, 0, 1) → e