Heart Curve
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Theorem
The following equations define curves that are more or less heart shaped:
Formulation 1
- $r = 1 - \sin \theta$
Formulation 2
Formulation 3
- $\begin{cases}
x = & \map \sin t \map \cos t \ln \size t \\ y = & \size t^{0.3} \sqrt {\cos t} \end{cases}$ where $t \in \hointr {-1} 0 \cup \hointl 0 1$.
Formulation 4
- $\paren {y - \dfrac {2 \paren {\size x + x^2 - 6} } {3 \paren {\size x + x^2 + 2} } }^2 + x^2 = 36$
Formulation 5
- $r = \dfrac {\sin t \sqrt {\size {\cos t} } } {\sin t + \frac 7 5} - 2 \sin t + 2$
Formulation 6
- $\begin{cases}
x = & 16 \sin^3 t \\ y = & 13 \cos t - 5 \cos 2 t - 3 \cos 3 t - \cos 4 t \end{cases}$