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3D Heart Parametric Curve

3D Heart Parametric Curve
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2015-05-15 17:38
Coordinate GeometrySolid GeometryParametric Equation
This example demonstrates the process of drawing a 3D heart curve using parametric equations and coordinate geometry. It utilizes commands such as Sequence, FitPoly, CurveCartesian, and Surface to construct a 3D heart shape. This example is suitable for high school mathematics education, particularly in teaching parametric equations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Sequence((i, x(Element[P, i])), i, 1, 5) → Px
  2. Sequence((i, y(Element[P, i])), i, 1, 5) → Py
  3. FitPoly(Px, 4) → fx
  4. FitPoly(Py, 4) → fy
  5. CurveCartesian(fx(t), fy(t), t, 1, 5) → curv
  6. Surface(((fx(v) * cos(u)) * att(u)), (((e * fx(v)) * sin(u)) * att(u)), (fy(v) * att(u)), u, 0, fu, v, 1, fv) → cuore