Convert "Big-Tac-Toe" to typst

src/Warm-Ups/Big-Tac-Toe/main.tex

@@ -1,187 +0,0 @@
-\documentclass[
-	solutions,
-	hidewarning,
-	singlenumbering,
-	nopagenumber
-]{../../../lib/tex/ormc_handout}
-\usepackage{../../../lib/tex/macros}
-
-% x,y,scale,style
-\def\ttt#1#2#3#4{
-	\draw[#4] (#1, #2+#3) -- (#1+#3+#3+#3, #2+#3);
-	\draw[#4] (#1, #2+#3+#3) -- (#1+#3+#3+#3, #2+#3+#3);
-	\draw[#4] (#1+#3, #2) -- (#1+#3, #2+#3+#3+#3);
-	\draw[#4] (#1+#3+#3, #2) -- (#1+#3+#3, #2+#3+#3+#3);
-}
-
-
-\geometry{
-	paper      = letterpaper,
-	top        = 25mm,
-	bottom     = 30mm,
-	left       = 20mm,
-	right      = 20mm,
-	headheight = 75mm,
-	footskip   = 15mm
-}
-
-
-% misere ttt
-
-% Numerical Tic Tac Toe is a variation invented by the mathematician Ronald Graham.
-% The numbers 1 to 9 are used in this game. The first player plays with the odd numbers,
-% the second player plays with the even numbers. All numbers can be used only once.
-% The player who puts down 15 points in a line wins (sum of 3 numbers).
-% This game can be generalized to a n × n board.
-
-
-% In Treblecross, both players play with the same symbol.
-% The game is played on a 1-by-n board with k equal to 3.
-% The player who makes a three in a row of Xs (or black chips) wins the game
-
-\title{Warm-Up: Big-Tac-Toe}
-\uptitler{\smallurl{}}
-\subtitle{Prepared by Mark on \today.}
-
-\begin{document}
-
-	\maketitle
-
-
-
-	We have large tic-tac-toe grid, each cell of which contains another.
-	On each turn, one player puts their glyph into a cell of a small grid. When the next player goes,
-	they must make their move in the small grid in the same position as the previous player's move.
-	\begin{itemize}
-		\item The first player to move may pick any small grid to start in.
-		\item If a player is directed to a grid that is \textit{full}, that player may go anywhere. \par
-		A sub-grid that is \say{won} but not full may still be played in.
-	\end{itemize}
-
-	\vspace{2mm}
-
-	The first player to complete a line of three \say{won} subgrids wins the game.
-
-	\vfill\null\hfill
-	\begin{minipage}{0.48\textwidth}
-		\begin{center}
-			\begin{tikzpicture}[scale=0.65]
-				\ttt{0}{0}{4}{line width=0.5mm}
-				\ttt{0.5}{0.5}{1}{line width=0.25mm}
-				\ttt{0.5}{4.5}{1}{line width=0.25mm}
-				\ttt{0.5}{8.5}{1}{line width=0.25mm}
-				\ttt{4.5}{0.5}{1}{line width=0.25mm}
-				\ttt{4.5}{4.5}{1}{line width=0.25mm}
-				\ttt{4.5}{8.5}{1}{line width=0.25mm}
-				\ttt{8.5}{0.5}{1}{line width=0.25mm}
-				\ttt{8.5}{4.5}{1}{line width=0.25mm}
-				\ttt{8.5}{8.5}{1}{line width=0.25mm}
-			\end{tikzpicture}
-		\end{center}
-	\end{minipage}
-	\hfill
-	\begin{minipage}{0.48\textwidth}
-		\begin{center}
-			\begin{tikzpicture}[scale=0.65]
-				\ttt{0}{0}{4}{line width=0.5mm}
-				\ttt{0.5}{0.5}{1}{line width=0.25mm}
-				\ttt{0.5}{4.5}{1}{line width=0.25mm}
-				\ttt{0.5}{8.5}{1}{line width=0.25mm}
-				\ttt{4.5}{0.5}{1}{line width=0.25mm}
-				\ttt{4.5}{4.5}{1}{line width=0.25mm}
-				\ttt{4.5}{8.5}{1}{line width=0.25mm}
-				\ttt{8.5}{0.5}{1}{line width=0.25mm}
-				\ttt{8.5}{4.5}{1}{line width=0.25mm}
-				\ttt{8.5}{8.5}{1}{line width=0.25mm}
-			\end{tikzpicture}
-		\end{center}
-	\end{minipage}
-	\hfill\null\vfill
-
-	\problem{}
-	Play a few rounds of this game with someone nearby. \par
-	Can either player force a win?
-
-	\vfill
-
-	\problem{}
-	Modify the rules of this game to disallow play in won subgrids. \par
-	How does your strategy change?
-
-	\vfill
-	\pagebreak
-
-
-	\null\vfill\null\hfill
-	\begin{minipage}{0.48\textwidth}
-		\begin{center}
-			\begin{tikzpicture}[scale=0.65]
-				\ttt{0}{0}{4}{line width=0.5mm}
-				\ttt{0.5}{0.5}{1}{line width=0.25mm}
-				\ttt{0.5}{4.5}{1}{line width=0.25mm}
-				\ttt{0.5}{8.5}{1}{line width=0.25mm}
-				\ttt{4.5}{0.5}{1}{line width=0.25mm}
-				\ttt{4.5}{4.5}{1}{line width=0.25mm}
-				\ttt{4.5}{8.5}{1}{line width=0.25mm}
-				\ttt{8.5}{0.5}{1}{line width=0.25mm}
-				\ttt{8.5}{4.5}{1}{line width=0.25mm}
-				\ttt{8.5}{8.5}{1}{line width=0.25mm}
-			\end{tikzpicture}
-		\end{center}
-	\end{minipage}
-	\hfill
-	\begin{minipage}{0.48\textwidth}
-		\begin{center}
-			\begin{tikzpicture}[scale=0.65]
-				\ttt{0}{0}{4}{line width=0.5mm}
-				\ttt{0.5}{0.5}{1}{line width=0.25mm}
-				\ttt{0.5}{4.5}{1}{line width=0.25mm}
-				\ttt{0.5}{8.5}{1}{line width=0.25mm}
-				\ttt{4.5}{0.5}{1}{line width=0.25mm}
-				\ttt{4.5}{4.5}{1}{line width=0.25mm}
-				\ttt{4.5}{8.5}{1}{line width=0.25mm}
-				\ttt{8.5}{0.5}{1}{line width=0.25mm}
-				\ttt{8.5}{4.5}{1}{line width=0.25mm}
-				\ttt{8.5}{8.5}{1}{line width=0.25mm}
-			\end{tikzpicture}
-		\end{center}
-	\end{minipage}
-	\hfill\null\vfill
-
-	\vfill\null\hfill
-	\begin{minipage}{0.48\textwidth}
-		\begin{center}
-			\begin{tikzpicture}[scale=0.65]
-				\ttt{0}{0}{4}{line width=0.5mm}
-				\ttt{0.5}{0.5}{1}{line width=0.25mm}
-				\ttt{0.5}{4.5}{1}{line width=0.25mm}
-				\ttt{0.5}{8.5}{1}{line width=0.25mm}
-				\ttt{4.5}{0.5}{1}{line width=0.25mm}
-				\ttt{4.5}{4.5}{1}{line width=0.25mm}
-				\ttt{4.5}{8.5}{1}{line width=0.25mm}
-				\ttt{8.5}{0.5}{1}{line width=0.25mm}
-				\ttt{8.5}{4.5}{1}{line width=0.25mm}
-				\ttt{8.5}{8.5}{1}{line width=0.25mm}
-			\end{tikzpicture}
-		\end{center}
-	\end{minipage}
-	\hfill
-	\begin{minipage}{0.48\textwidth}
-		\begin{center}
-			\begin{tikzpicture}[scale=0.65]
-				\ttt{0}{0}{4}{line width=0.5mm}
-				\ttt{0.5}{0.5}{1}{line width=0.25mm}
-				\ttt{0.5}{4.5}{1}{line width=0.25mm}
-				\ttt{0.5}{8.5}{1}{line width=0.25mm}
-				\ttt{4.5}{0.5}{1}{line width=0.25mm}
-				\ttt{4.5}{4.5}{1}{line width=0.25mm}
-				\ttt{4.5}{8.5}{1}{line width=0.25mm}
-				\ttt{8.5}{0.5}{1}{line width=0.25mm}
-				\ttt{8.5}{4.5}{1}{line width=0.25mm}
-				\ttt{8.5}{8.5}{1}{line width=0.25mm}
-			\end{tikzpicture}
-		\end{center}
-	\end{minipage}
-	\hfill\null\vfill
-
-\end{document}

src/Warm-Ups/Big-Tac-Toe/main.typ

@@ -0,0 +1,90 @@
+#import "@local/handout:0.1.0": *
+#import "@preview/cetz:0.3.1"
+
+#show: handout.with(
+  title: [Warm-Up: Big-Tac-Toe],
+  by: "Mark",
+)
+
+#let extra_boards = false;
+
+#let ttt(s, p) = {
+  // s: scale,
+  // p: position
+  let x = p.at(0) * s
+  let y = p.at(1) * s
+
+  cetz.draw.line((-1 * s + x, 3 * s + y), (-1 * s + x, -3 * s + y))
+  cetz.draw.line((1 * s + x, 3 * s + y), (1 * s + x, -3 * s + y))
+  cetz.draw.line((3 * s + x, -1 * s + y), (-3 * s + x, -1 * s + y))
+  cetz.draw.line((3 * s + x, 1 * s + y), (-3 * s + x, 1 * s + y))
+}
+
+#let btt(s) = cetz.canvas({
+  import cetz.draw: *
+
+  set-style(stroke: (thickness: 0.5mm * s))
+
+  ttt(s, (-7, -7))
+  ttt(s, (-7, 0))
+  ttt(s, (-7, 7))
+  ttt(s, (0, -7))
+  ttt(s, (0, 0))
+  ttt(s, (0, 7))
+  ttt(s, (7, -7))
+  ttt(s, (7, 0))
+  ttt(s, (7, 7))
+
+  set-style(stroke: (thickness: 2mm * s))
+  ttt(s * 3.5, (0, 0))
+})
+
+
+#problem()
+Consider a large tic-tac-toe grid, each cell of which contains another.
+On each turn, one player puts their glyph into a cell of a small grid. When the next player goes,
+they must make their move in the small grid in the same position as the previous player's move.
+- The first player to move may pick any small grid to start in.
+- If a player is directed to a grid that is _full_, that player may go anywhere. \
+  A sub-grid that is "won" but not full may still be played in.
+
+#v(2mm)
+
+The first player to complete a line of three "won" subgrids wins the game.
+
+#v(2mm)
+
+#problem()
+Play a few rounds of this game with someone nearby. \
+Can either player force a win?
+
+#table(
+  stroke: none,
+  align: center,
+  columns: (1fr, 1fr),
+  btt(0.35), btt(0.35),
+);
+
+#problem()
+Modify the rules of this game to disallow play in won subgrids. \
+How does your strategy change? \
+#if extra_boards { note([Additional boards are available on the next page.]) }
+
+#v(1fr)
+
+#if extra_boards {
+  pagebreak()
+
+  align(
+    center,
+    grid(
+      stroke: none,
+      align: center,
+      columns: (1fr, 1fr),
+      rows: (1fr, 1fr, 1fr),
+      btt(0.35), btt(0.35),
+      btt(0.35), btt(0.35),
+      btt(0.35), btt(0.35),
+    ),
+  )
+}