Updated chapters 1 and 2

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Kenneth John Odle 2025-04-20 13:07:09 -04:00
parent c4349fb522
commit 9a87949dad

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@ -17,31 +17,19 @@
% Delete any of the following that are not needed % Delete any of the following that are not needed
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{makeidx}
\usepackage{graphicx}
\usepackage{array}
\usepackage{multirow}
\usepackage{gensymb} % Just for the degree symbol
\usepackage{ccicons} % Creative Commons icons; now we can delete an image
\usepackage{lettrine} % Drop caps \usepackage{lettrine} % Drop caps
\usepackage{wrapfig} % Let's wrap some images \usepackage{wrapfig} % Let's wrap some images
\usepackage{hanging} % For hanging indents in a script
\usepackage{fancyvrb} % Use line numbers with code samples
\usepackage{fvextra} % Break lines inside Verbatim environment:
\usepackage{enumitem} % Control spacing in lists \usepackage{enumitem} % Control spacing in lists
\usepackage{setspace} % Better control over line-spacing \usepackage{setspace} % Better control over line-spacing
\usepackage{nicefrac} % Use nice fractions \usepackage{nicefrac} % Use nice fractions
\usepackage[bottom]{footmisc} % Keep the footnotes at the bottom of the page \usepackage[bottom]{footmisc} % Keep the footnotes at the bottom of the page
%\usepackage{tabto} % Use tab stops when we need to (especially in footnotes)
\usepackage{microtype} % Make things neater. \usepackage{microtype} % Make things neater.
\usepackage{tabularray} % Easy tables \usepackage{tabularray} % Easy tables
\usepackage[]{footmisc} \usepackage[]{footmisc}
\usepackage{tikz} \usepackage{tikz}
\usetikzlibrary{calc} \usetikzlibrary{calc}
\usepackage{ninecolors} \usepackage{ninecolors}
\usepackage{lipsum}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Commands %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Commands %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@ -63,7 +51,6 @@
margin=15mm, margin=15mm,
% a5paper % Comment out for half-letter paper % a5paper % Comment out for half-letter paper
} }
\addtolength{\topmargin}{10mm} % Adjust and bottom margin \addtolength{\topmargin}{10mm} % Adjust and bottom margin
\addtolength{\textheight}{-20mm} % Adjust the bottom margin \addtolength{\textheight}{-20mm} % Adjust the bottom margin
@ -103,12 +90,12 @@
% Make hrefs easier (must load package hyperref} % Make hrefs easier (must load package hyperref}
\newcommand\kref[2]{\href{#1}{{\texttt{#2}}}} \newcommand\kref[2]{\href{#1}{{\texttt{#2}}}}
% Rotate text in tables easier
% https://tex.stackexchange.com/questions/89115/how-to-rotate-text-in-multirow-table
\newcommand\krot[3]{\parbox[t]{#1}{\multirow{#2}{*}{\rotatebox[origin=c]{90}{#3}}}}
% Draw a sudoku grid %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\kgrid}{ %% Custom Macros %%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Draw a sudoku grid with labels
\newcommand{\kgridl}{
% Thick horizontal lines % Thick horizontal lines
\draw [ultra thick](0,0)--(9,0); \draw [ultra thick](0,0)--(9,0);
\draw [ultra thick](0,3)--(9,3); \draw [ultra thick](0,3)--(9,3);
@ -134,7 +121,7 @@
\draw (7,0)--(7,9); \draw (7,0)--(7,9);
\draw (8,0)--(8,9); \draw (8,0)--(8,9);
% Labels % Labels
\begin{scriptsize} \begin{footnotesize}
\node at (-0.5,0.5) {R1}; \node at (-0.5,0.5) {R1};
\node at (-0.5,1.5) {R2}; \node at (-0.5,1.5) {R2};
\node at (-0.5,2.5) {R3}; \node at (-0.5,2.5) {R3};
@ -153,18 +140,47 @@
\node at (6.5,-0.5) {C7}; \node at (6.5,-0.5) {C7};
\node at (7.5,-0.5) {C8}; \node at (7.5,-0.5) {C8};
\node at (8.5,-0.5) {C9}; \node at (8.5,-0.5) {C9};
\end{scriptsize} \end{footnotesize}
}
% Draw a sudoku grid without labels
\newcommand{\kgrid}{
% Thick horizontal lines
\draw [ultra thick](0,0)--(9,0);
\draw [ultra thick](0,3)--(9,3);
\draw [ultra thick](0,6)--(9,6);
\draw [ultra thick](0,9)--(9,9);
% Thick vertical lines
\draw [ultra thick](0,0)--(0,9);
\draw [ultra thick](3,0)--(3,9);
\draw [ultra thick](6,0)--(6,9);
\draw [ultra thick](9,0)--(9,9);
% Thin horizontal lines
\draw (0,1)--(9,1);
\draw (0,2)--(9,2);
\draw (0,4)--(9,4);
\draw (0,5)--(9,5);
\draw (0,7)--(9,7);
\draw (0,8)--(9,8);
% Thin vertical lines
\draw (1,0)--(1,9);
\draw (2,0)--(2,9);
\draw (4,0)--(4,9);
\draw (5,0)--(5,9);
\draw (7,0)--(7,9);
\draw (8,0)--(8,9);
} }
% Sudoku nodes % Sudoku nodes
\newcommand{\knode}[3]{\node at (#1,#2) {#3};} \newcommand{\knode}[3]{\node at ($(#1-0.5,#2-0.5)$) {#3};}
% Sudoku fills % Sudoku fills
\newcommand{\kfill}[3]{\draw [fill=gray#3, line width=0mm] (#1,#2) rectangle +(1,1);} \newcommand{\kfill}[3]{\draw [fill=gray#3, line width=0mm] (#1,#2) rectangle +(1,1);}
% Sudoku markers
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\kfirst}[2]{\fill [red5] ($(#1 - 0.2,#2 - 0.2)$) circle (0.75pt);}
%% Just for Issue #006 %%%%%%%%%%%%%%%%%%%%%% \newcommand{\ksecond}[2]{\fill [red5] ($(#1 - 0.2,#2 - 0.2)$) circle (0.75pt);\fill [red5] ($(#1 - 0.8,#2 - 0.2)$) circle (0.75pt);}
\newcommand{\kguess}[2]{\fill [red5] ($(#1 - 0.8,#2 - 0.8)$) circle (0.75pt);}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@ -211,11 +227,11 @@ If you want to donate financial support for the creation of this zine (and all t
\chapter{What Is Sudoku?} \chapter{What Is Sudoku?}
Tikz grid example: \lettrine[loversize=0.5,nindent=-0.2mm]{S}{udoku} is a number-placement game played on a 9x9 grid for a total of 81 individual cells, with that main grid broken up into 9 subgrids of 9 cells each, as shown in figure \ref{subgrids}. The goal is to enter the numbers 1 through 9 into each cell such that each row, each column, and each subgrid contains each number only once. See figure \ref{fullgrid} for an example with rows and columns labeled.
\noindent{}\begin{tikzpicture}[x=5mm,y=5mm] \begin{wrapfigure}{O}{0.45\textwidth}
% Fills (must go first to put behind the grid) \centering
\path [fill=gray8, line width=0mm] (6,7) -- (7,7) -- (7,8) -- (6,8); \begin{tikzpicture}[x=5mm,y=5mm]
% Thick horizontal lines % Thick horizontal lines
\draw [ultra thick](0,0)--(9,0); \draw [ultra thick](0,0)--(9,0);
\draw [ultra thick](0,3)--(9,3); \draw [ultra thick](0,3)--(9,3);
@ -226,47 +242,45 @@ Tikz grid example:
\draw [ultra thick](3,0)--(3,9); \draw [ultra thick](3,0)--(3,9);
\draw [ultra thick](6,0)--(6,9); \draw [ultra thick](6,0)--(6,9);
\draw [ultra thick](9,0)--(9,9); \draw [ultra thick](9,0)--(9,9);
% Thin horizontal lines
\draw (0,1)--(9,1);
\draw (0,2)--(9,2);
\draw (0,4)--(9,4);
\draw (0,5)--(9,5);
\draw (0,7)--(9,7);
\draw (0,8)--(9,8);
% Thin vertical lines
\draw (1,0)--(1,9);
\draw (2,0)--(2,9);
\draw (4,0)--(4,9);
\draw (5,0)--(5,9);
\draw (7,0)--(7,9);
\draw (8,0)--(8,9);
% Nodes
\node at (0.5,7.5) {6};
\node at (1.5,7.5) {1};
\node at (4.5,7.5) {3};
\node at (7.5,8.5) {9};
\node at (8.5,8.5) {5};
\node at (5.5,8.5) {2};
\end{tikzpicture} \end{tikzpicture}
\caption[]{A sudoku grid showing only the subgrids.}
\begin{wrapfigure}{R}{0.6\textwidth} \label{subgrids}
\begin{tikzpicture}[x=5mm,y=5mm]
\kfill{6}{7}{8}
\kgrid
\knode{0.5}{7.5}{6}
\knode{1.5}{7.5}{1}
\knode{4.5}{7.5}{3}
\knode{6.5}{1.5}{7}
\knode{6.5}{4.5}{4}
\knode{7.5}{8.5}{9}
\knode{8.5}{6.5}{2}
\knode{8.5}{8.5}{5}
\end{tikzpicture}
\caption{Grid A}
\end{wrapfigure} \end{wrapfigure}
Sudoku puzzles have anywhere from a few to many of the cells filled in with numbers. Those puzzles with more cells filled in are generally easier to complete than those with only a few cells filled in.
Number puzzles of this type have been around for a long time, with one of the earliest appearing in 1892 in the French newspaper \textit{Le Siècle}, which was a partially completed 9x9 magic square\footnote{A square array of numbers in which the sum of numbers in each row, column, and both diagonals add up to the same number.}
Despite the Japanese name (which translates roughly as ``digit-single'' or ``number-unique''), the modern sudoku puzzle is apparently an American invention, first appearing the May 1979 issue of \textit{Dell Pencil Puzzles \& Word Games} as ``Number Place''. It is apparently the work of a retired architect named Howard Garns, although the evidence is somewhat circumstantial: Garns appeared in the list of contributors in each issue that did contain a ``Number Place'' puzzle, but did not appear in the list of contributors in issues that did \textit{not} contain a ``Number Place'' puzzle.\footnote{See \kref{https://www.mathpuzzle.com/MAA/41-Sudoku Variations/mathgames_09_05_05.html}{https://www.mathpuzzle.com/MAA/41-Sudoku\%20Variations/mathgames\_09\\\_05\_05.html} for more information, which also contains more information on sudoku variations.}
\begin{wrapfigure}{O}{0.5\textwidth}
\centering
\begin{tikzpicture}[x=5mm,y=5mm]
\kgridl
\end{tikzpicture}
\caption[]{A full 9x9 sudoku grid with columns and rows labeled.}
\label{fullgrid}
\end{wrapfigure}
It was later imitated in the 1980's by the Japanese publisher Nikoli who introduced two small improvements: the number of clues was limited to 32, and the clues were distributed in a rotationally symmetric way, meaning that the clues were more evenly distributed across the grid.
In 1997, Wayne Gould, a retired judge from New Zealand who had moved to Hong Kong spotted the puzzles in a Japanese bookshop and then spent the next six years developing a computer program to create sudoku puzzles, and started selling them local newspapers and eventually to the London \textit{Times}. He also publishes them from his own website at \kref{https://sudoku.com/}{https://sudoku.com/}.\footnote{See \kref{https://www.theguardian.com/media/2005/may/15/pressandpublishing.usnews}{https://www.theguardian.com/media/2005/may/15/pressandpublishing.u\\snews} for more information.}
\chapter{The Rules of Sudoku} \chapter{The Rules of Sudoku}
\lettrine[loversize=0.5,nindent=-0.2mm]{T}{he} rules of sudoku are both few and simple:
\begin{enumerate}[noitemsep]
\item Sudoku is played on a 9x9 grid.
\item You can only use the numbers 1 through 9.
\item Each vertical column can only contain the numbers 1 through 9, with no number being used more than once.
\item Each horizontal row can only contain the numbers 1 through 9, with no number being used more than once.
\item Each 3x3 subgrid can only contain the numbers 1 through 9, with no number being used more than once.
\end{enumerate}
Winning is simple: you win when you have filled in the entire 9x9 grid according to the rules above.
\chapter{Troubleshooting} \chapter{Troubleshooting}