paperhat.tex

\documentclass[12pt]{article}
\usepackage[letterpaper,margin=0mm,nohead,nofoot,portrait]{geometry}
\usepackage{tikz}

\begin{document}
\pagestyle{empty}

\begin{tikzpicture}[remember picture, overlay]
    \draw[dashed] ([yshift=-5.5in]current page.north west) -- ([yshift=-5.5in]current page.north east) node[pos=0.3,above,circle,draw,solid,inner sep=1pt,outer sep=2pt] {$1$};
	\node[font=\Huge, below] at ([xshift=4.25in]current page.north west) {$2025$};
	\node[font=\Huge, above] at ([xshift=4.25in]current page.south west) {puzzles.mit.edu};
\end{tikzpicture}

\newpage

\begin{tikzpicture}[remember picture, overlay]
    \draw[dashed] ([yshift=-1.25in]current page.north west) -- ([xshift=4.25in,yshift=-5.5in]current page.north west) node[pos=0.3,above,circle,draw,solid,inner sep=1pt,outer sep=2pt,sloped, rotate=180] {$3$};
    \draw[dashed] ([yshift=-1.25in]current page.north east) -- ([xshift=4.25in,yshift=-5.5in]current page.north west) node[pos=0.3,above,circle,draw,solid,inner sep=1pt,outer sep=2pt,sloped,rotate=180] {$2$};
    \draw[dashed] ([yshift=-1.25in]current page.north west) -- ([yshift=-1.25in]current page.north east) node[pos=0.3,below,circle,draw,solid,inner sep=1pt,outer sep=2pt,rotate=180] {$4$};
    \draw[dashed] ([yshift=1.25in]current page.south west) -- ([yshift=1.25in]current page.south east) node[pos=0.3,above,circle,draw,solid,inner sep=1pt,outer sep=2pt] {$5$};
	\node[font=\Huge, below, align=left, outer sep=2pt, rotate=270] at ([xshift=2.125in,yshift=-6.1in]current page.north west) {TERY\\NT};
	\node[font=\Huge, below, align=right, outer sep=2pt, rotate=90] at ([xshift=6.375in,yshift=-6.1in]current page.north west) {MYS\\HU};
\end{tikzpicture}
\end{document}