\documentclass[12pt,ifthen]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{html}
\usepackage{hyperref}
\usepackage{tikz}
\newcommand{\PVDW}{{\rm PVDW}}
\newcommand{\OBS}{{\rm D}}
\newcommand{\D}{{\sf D}}
\newcommand{\N}{{\sf N}}
\newcommand{\Z}{{\sf Z}}
\newcommand{\Q}{{\sf Q}}
\newcommand{\R}{{\sf R}}
\newcommand{\reals}{{\sf R}}
\newcommand{\into}{{\rightarrow}}
\newcommand{\ceil}[1]{\lceil #1 \rceil}
\newcommand{\COL}{{\rm COL}}
\newcommand{\fractional}{{\rm frac}}

\usepackage{amsthm}
\newtheorem{theorem}{Theorem}

\begin{document}

\centerline{\bf CMSC 752 Homework 14} 
\centerline{\bf Morally Due Tue May 13, 2025} 
\centerline{\bf Dead Cat May 15}

\bigskip

\newif{\ifshowsoln}
\showsolntrue % comment out to NOT show solution inside \ifshowsoln and \fi blocks.

\smallskip

\begin{enumerate} 

\item
(50 points)
Give a coloring $\COL\colon \reals^2 \into [2]$ such that there is
no mono unit equilateral triangle. 

\newpage

\item 
Give a coloring $\COL\colon \reals^2 \into [2]$ such that there is
no mono unit square. 


\end{enumerate}


\end{document}