36 lines
1.1 KiB
TeX
Executable File
36 lines
1.1 KiB
TeX
Executable File
\documentclass{standalone}
|
|
\usepackage{tikz}
|
|
\usepackage{pgfplots}
|
|
\pgfplotsset{width=7cm,compat=1.8}
|
|
\usepgfplotslibrary{polar}
|
|
|
|
\title{Butterfly curve}
|
|
\begin{document}
|
|
\begin{tikzpicture}
|
|
\def\a{1}
|
|
\def\b{4}
|
|
\def\c{12}
|
|
\def\A{2}
|
|
\def\B{5}
|
|
\def\pig{3.14}
|
|
%
|
|
\begin{scope}
|
|
\node at (2.5,0) {The Butterfly curve: Fay's polar equation};
|
|
\end{scope}
|
|
%
|
|
\begin{scope}[shift={(0,-6.5)}]
|
|
\begin{polaraxis}[grid=none,hide y axis]
|
|
\addplot+[mark=none,domain=0:3600,samples=2000] {e^cos(\a * x)-\A * cos(\b * x) + (sin(x / \c))^\B};
|
|
\end{polaraxis}
|
|
\node at (2.5,-1) {$\rho = e^{\cos \vartheta} - 2 \cos (4 \theta) + \sin^5 (\vartheta / 12)$};
|
|
\end{scope}
|
|
%
|
|
\begin{scope}[shift={(0,-15)}]
|
|
\node at (2.5,6.5) {The Butterfly curve: Geum and Kim's equation};
|
|
\begin{polaraxis}[grid=none,hide y axis]
|
|
\addplot+[mark=none,domain=0:3600,samples=2000,color=red] {e^sin(\a * x)-\A * cos(\b * x) + (sin((2*x - \pig)/ (2*\c)))^\B};
|
|
\end{polaraxis}
|
|
\node at (2.5,-1) {$\rho = e^{\sin \vartheta} - 2 \cos (4 \theta) + \sin^5 \left ( \frac{2\vartheta -\pi}{24} \right )$};
|
|
\end{scope}
|
|
\end{tikzpicture}
|
|
\end{document} |