LaTeX Assignment 4
Author
Jonathan Guiang
Last Updated
7년 전
License
Creative Commons CC BY 4.0
Abstract
This was an assignment for a college physics course. Please let me know what you think! :)
This was an assignment for a college physics course. Please let me know what you think! :)
\documentclass[10pt]{article}
\usepackage[margin=1.9in]{geometry}
\usepackage{amsmath,amsthm,amssymb}
\usepackage[final]{graphicx}
\usepackage{subcaption}
\begin{document}
\begin{figure}[h]
\centering
Take a look at Figure 1. This figure shows a fractal called the Dragon Curve.\par\bigskip
\includegraphics[width=0.65\linewidth]{dragon.pdf}
\caption{The Dragon Curve at step 17.}
\end{figure}
This curve is a fractal, a term first used by Benoit Mandelbrot. You can
find a picture of him in Figure 2a. Perhaps the most famous fractal is the
Mandelbrot set. Take a look at Figure 2b. A fractal curve is a curve that shows
details on every length scale. A simple square which is not a fractal, shows no
new feature as soon as you look at it, at length scales smaller than its side.
\begin{figure}[h]
\centering
\begin{subfigure}[b]{0.3\textwidth}
\centering
\includegraphics[width=.9\linewidth]{Benoit.jpg}
\caption{}
\label{fig:fig1}
\end{subfigure}
\qquad
\begin{subfigure}[b]{0.45\textwidth}
\centering
\includegraphics[width=\linewidth]{mandel_set.jpg}
\caption{}
\label{fig:fig2}
\end{subfigure}
\label{fig:benoit_fig}
\caption{Mandelbrot (a) Benoit Mandelbrot; (b) Mandelbrot set. (All images are from Wikipedia)}
\end{figure}
Back to the dragon curve, it can be constructed using the subsequent steps shown in Figure 3. The complete dragon curve is made with infinite steps.
\begin{figure}[h]
\centering
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s1.jpg}
\caption{Dragon curve, step 1.}
\label{fig:sfig1}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s2.jpg}
\caption{Dragon curve, step 2.}
\label{fig:sfig2}
\end{subfigure}
\centering
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s3.jpg}
\caption{Dragon curve, step 3.}
\label{fig:sfig3}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s4.jpg}
\caption{Dragon curve, step 4.}
\label{fig:sfig4}
\end{subfigure}
\centering
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s5.jpg}
\caption{Dragon curve, step 5.}
\label{fig:sfig5}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s6.jpg}
\caption{Dragon curve, step 6.}
\label{fig:sfig6}
\end{subfigure}
\centering
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s7.jpg}
\caption{Dragon curve, step 7.}
\label{fig:sfig7}
\end{subfigure}
\hfill
\begin{subfigure}[b]{0.4\textwidth}
\centering
\includegraphics[width=\linewidth]{s_inf.jpg}
\caption{Many steps remain.}
\label{fig:sfig8}
\end{subfigure}
\label{fig:list_fig}
\caption{The dragon curve at different steps of evolution. Note that we have devoted a complete page to this figure}
\end{figure}
\end{document}