Polar coordinate equation:

Horizontal direction: ρ=a( 1-cosθ) or ρ = a (1+cos θ) (a > 0)

Vertical direction: ρ=a( 1-sinθ) or ρ = a (1+sinθ) (a > 0)

Extended data:

The expressions of the plane rectangular coordinate system equation of the heart line are x 2+y 2+a * x = a * sqrt (x 2+y 2) and x 2+y 2-a * x = a * sqrt (x 2+y 2) respectively.

Draw r = Arccos(sinθ) in polar coordinate system, and we will also get a beautiful heart shape. More complex heart: a heart in a plane rectangular coordinate system created by math enthusiasts, which consists of two functional expressions. However, when drawing with the geometric sketchpad, please be sure to change the angle unit from the default degree to radian.

The elliptic equation rotates 45, and the base is a plane rectangular coordinate system, which is different from Cartesian polar coordinates. The absolute value of the axis direction becomes an even function; The new even function is a closed heart-shaped function.

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