% Copyright (c) 2026 Simon Rubinstein-Salzedo. % Distributed under the LaTeX Project Public License, version 1.3c or later. % Maintenance status: maintained. Current Maintainer: Simon Rubinstein-Salzedo. % License: https://www.latex-project.org/lppl.txt % See README.md for the list of files and attribution. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % combgames-tikz.sty % AUTHOR: Simon Rubinstein-Salzedo % based on combgames.sty by Raymond Chen, % David Wolfe, and Aaron Siegel % PLEASE SUGGEST IMPROVEMENTS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{combgames-tikz}[2026/10/28 v1.0 Combinatorial game theory TikZ game boards] \RequirePackage{iftex} \RequirePackage{expl3} \RequirePackage{xparse} \RequirePackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{arrows.meta} \RequirePackage{combgames-symbols} \tikzset{ linecap/.style={line cap=#1}, linejoin/.style={line join=#1}, linewidth/.style={line width=#1}, } \tikzset{ hackennode/.style={draw,fill=white,circle,inner sep=0,minimum size=4pt}, treenode/.style={inner sep=1, minimum size=4pt}, hackenline/.style={line width=3pt}, } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % GridGame setup %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ExplSyntaxOn \msg_new:nnn { combgames-tikz } { unknown-token } { Unknown~token~'#2'~in~game~'#1';~leaving~this~position~empty. } % token registry \NewDocumentCommand \gridtoken { m m m }{ \cs_set_protected:cpn { cgt@map@#1@#2 } { #3 } } % minimal engine % ===================== GridGame (with bbox margins) ===================== \NewDocumentCommand \GridGame { O{.35cm} m m }{% \ensuremath{% \mathord{% \vcenter{\hbox{% \begin{tikzpicture}[x=#1,y=#1, every node/.style={inner sep=0pt,outer sep=0pt}] % ---- measure rows/cols ---- \seq_clear_new:N \l__rows \int_zero_new:N \l__R \int_zero_new:N \l__C \int_zero_new:N \l__len \seq_set_split:Nnn \l__rows { \\ } { #3 } % Ignore empty rows, including rows containing only spaces. \seq_clear_new:N \l__cgt_nonempty_rows_seq \seq_map_inline:Nn \l__rows { \tl_set:Nn \l_tmpa_tl { ##1 } \tl_remove_all:Nn \l_tmpa_tl { \c_space_tl } \tl_remove_all:Nn \l_tmpa_tl { ~ } \tl_remove_all:Nn \l_tmpa_tl { ^^a0 } \tl_if_blank:VF \l_tmpa_tl { \seq_put_right:NV \l__cgt_nonempty_rows_seq \l_tmpa_tl } } \seq_set_eq:NN \l__rows \l__cgt_nonempty_rows_seq \int_set:Nn \l__R { \seq_count:N \l__rows } \int_zero:N \l__C \seq_map_inline:Nn \l__rows { \tl_set:Nn \l_tmpa_tl { ##1 } \tl_remove_all:Nn \l_tmpa_tl { \c_space_tl } \tl_remove_all:Nn \l_tmpa_tl { ~ } \tl_remove_all:Nn \l_tmpa_tl { ^^a0 } \int_set:Nn \l__len { \tl_count:N \l_tmpa_tl } \int_compare:nNnT { \l__len } > { \l__C } { \int_set_eq:NN \l__C \l__len } } % ---- per-game bbox margins lookup ---- \edef\cgt@bbl{% \ifcsname cgt@bboxlower@#2\endcsname \csname cgt@bboxlower@#2\endcsname \else \csname cgt@bboxlower@DEFAULT\endcsname \fi} \edef\cgt@bbu{% \ifcsname cgt@bboxupper@#2\endcsname \csname cgt@bboxupper@#2\endcsname \else \csname cgt@bboxupper@DEFAULT\endcsname \fi} % ---- prime the picture bbox so \vcenter centers visible artwork ---- \path (0,\cgt@bbl) rectangle (\int_eval:n{\l__C}, {\int_eval:n{\l__R}+\cgt@bbu}); % ---- draw cells/tokens ---- \cs_if_exist_use:c { cgt@beforecells@#2 } \int_zero_new:N \l__row \int_zero_new:N \l__col \seq_map_inline:Nn \l__rows { \int_incr:N \l__row \tl_set:Nn \l_tmpa_tl { ##1 } \tl_remove_all:Nn \l_tmpa_tl { \c_space_tl } \tl_remove_all:Nn \l_tmpa_tl { ~ } \tl_remove_all:Nn \l_tmpa_tl { ^^a0 } \int_zero:N \l__col \tl_map_inline:Nn \l_tmpa_tl { \int_incr:N \l__col \cs_if_exist:cTF { cgt@position@#2 } { \edef\cgt@cellposition{\use:c{cgt@position@#2}} } { \edef\cgt@cellposition{(\int_eval:n{\l__col-1},\int_eval:n{\l__R-\l__row})} } \edef\cgt@begincell{\noexpand\begin{scope}[shift={\cgt@cellposition}]}\cgt@begincell \coordinate (cellcenter) at (.5,.5); \cs_if_exist_use:cF { cgt@map@#2@####1 } { \msg_warning:nnnn { combgames-tikz } { unknown-token } {#2} {####1} } \end{scope} } } \cs_if_exist_use:c { cgt@aftercells@#2 } \end{tikzpicture}% }}% }% }% } \ExplSyntaxOff %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % DOMINEERING %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % ------------ Domineering tokens ------------ \gridtoken{DomTok}{.}{} % empty \gridtoken{DomTok}{o}{\draw (0,0) rectangle (1,1);} % outline 1×1 \gridtoken{DomTok}{x}{% \fill[draw=none,fill=lightgray] (0,0) rectangle (1,1); \draw (0,0) rectangle (1,1); } \gridtoken{DomTok}{^}{}% % n is a safe alias for ^ (the top half); v draws the whole vertical domino. \gridtoken{DomTok}{n}{\csname cgt@map@DomTok@^\endcsname} \gridtoken{DomTok}{>}{}% \gridtoken{DomTok}{v}{% \draw (0,0) rectangle (1,2); \fill (0.4,0.4) -- (0.2,0.2) -- (0.8,0.2) -- (0.6,0.4) -- (0.6,1.6) -- (0.8,1.8) -- (0.2,1.8) -- (0.4,1.6) -- cycle; } \gridtoken{DomTok}{<}{% \draw (0,0) rectangle (2,1); \fill (0.4,0.4) -- (0.2,0.2) -- (0.2,0.8) -- (0.4,0.6) -- (1.6,0.6) -- (1.8,0.8) -- (1.8,0.2) -- (1.6,0.4) -- cycle; } % direct wrapper (no factory involved) \NewDocumentCommand{\Domineering}{ O{.35cm} m }{% \GridGame[#1]{DomTok}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % CLOBBER %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \gridtoken{CLOB}{O}{% \draw (0,0) rectangle +(1,1); \draw (0.16495,0.34487) -- (0.23333,0.25000) -- (0.86666,0.25000) -- (0.76495,0.65513) -- (0.68333,0.75000) -- (0.26666,0.75000) -- cycle; \draw (0.26666,0.75000) -- (0.33504,0.65513) -- (0.76495,0.65513) -- (0.33504,0.65513) -- (0.23333,0.25000); \draw[line width=0.3pt] (0.54,0.710718) arc (-60:240:0.08); } \gridtoken{CLOB}{X}{% \draw (0,0) rectangle +(1,1); \filldraw (0.16495,0.34487) -- (0.23333,0.25000) -- (0.86666,0.25000) -- (0.76495,0.65513) -- (0.68333,0.75000) -- (0.26666,0.75000) -- cycle; \draw[white,line width=0.5pt] (0.26666,0.75000) -- (0.33504,0.65513) -- (0.76495,0.65513) -- (0.33504,0.65513) -- (0.23333,0.25000); \draw[line width=0.3pt] (0.54,0.710718) arc (-60:240:0.08); } \gridtoken{CLOB}{.}{ \draw (0,0) rectangle +(1,1); } \gridtoken{CLOB}{o}{\csname cgt@map@CLOB@O\endcsname} \gridtoken{CLOB}{x}{\csname cgt@map@CLOB@X\endcsname} \ExplSyntaxOn \NewDocumentCommand{\clobber}{ O{.3cm} m }{% \GridGame[#1]{CLOB}{#2}% } \NewDocumentCommand{\Clobber}{ O{.5cm} m }{% \GridGame[#1]{CLOB}{#2}% } \ExplSyntaxOff %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % DOTS AND BOXES %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Symbol definitions, including \cgloony, come from cgt.sty. \gridtoken{DAB}{.}{} \gridtoken{DAB}{o}{\fill (0,0) circle (.3);} \gridtoken{DAB}{-}{\draw (-1,0) -- (1,0);} \gridtoken{DAB}{|}{\draw (0,1) -- (0,-1);} \gridtoken{DAB}{:}{\draw[densely dotted] (0,-1) -- (0,1);} \gridtoken{DAB}{+}{\draw[densely dotted] (-1,0) -- (1,0);} \gridtoken{DAB}{*}{\node at (0,0) {\tiny$\cgloony$};} \gridtoken{DAB}{A}{\node at (0,0) {\textbf{A}};} \gridtoken{DAB}{B}{\node at (0,0) {\textbf{B}};} \NewDocumentCommand{\DotsAndBoxes}{ O{.35cm} m }{% \GridGame[#1]{DAB}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % STRINGS AND COINS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % helper: coin outline + centered text \newcommand{\SNCcoin}[1]{% \draw (.5,.5) circle[radius=.5];% \node at (.5,.5){#1};% } \gridtoken{SNC}{.}{} % empty cell \gridtoken{SNC}{o}{\SNCcoin{\$}} % coin with $ \gridtoken{SNC}{A}{\SNCcoin{\textbf{A}}} % coin with A \gridtoken{SNC}{B}{\SNCcoin{\textbf{B}}} % coin with B % edges (short inside-cell segments, centered) \gridtoken{SNC}{-}{\draw (0.05,.5)--(.95,.5);} % solid horizontal \gridtoken{SNC}{|}{\draw (.5,0.05)--(.5,.95);} % solid vertical \gridtoken{SNC}{+}{\draw[densely dotted] (0.05,.5)--(.95,.5);} % dotted horiz \gridtoken{SNC}{:}{\draw[densely dotted] (.5,0.05)--(.5,.95);} % dotted vert % specials with loony mark near the center-left \gridtoken{SNC}{*}{% \draw (0.05,.5)--(.95,.5);% \node at (.45,.5){\small$\scriptstyle\cgloony$};% } \gridtoken{SNC}{!}{% \draw (.5,0.05)--(.5,.95);% \node at (.45,.50){\small$\scriptstyle\cgloony$};% } % wrapper \NewDocumentCommand{\StringsAndCoins}{ O{.35cm} m }{% \GridGame[#1]{SNC}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % CHOMP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \gridtoken{CHM}{.}{} % (optional) allow '.' as empty if you use it elsewhere \gridtoken{CHM}{O}{\draw (0,0) rectangle (1,1);} % empty \gridtoken{CHM}{X}{% \draw (0,0) rectangle +(1,1); \draw (.5,.5) circle[radius=.3]; \draw (.2,.2)--(.8,.8) (.2,.8)--(.8,.2); } \gridtoken{CHM}{P}{% \draw (0,0) rectangle +(1,1); \draw (.5,.5) circle[radius=.3]; \draw (.2,.2)--(.8,.8) (.2,.8)--(.8,.2); } \NewDocumentCommand{\Chomp}{ O{.35cm} m }{% \GridGame[#1]{CHM}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % BRIDGIT %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \gridtoken{BRG}{.}{} % empty \gridtoken{BRG}{o}{\draw (0,0) circle[radius=.2];} % small empty node \gridtoken{BRG}{x}{\fill (0,0) circle[radius=.2];} % small filled node \gridtoken{BRG}{-}{\draw (-.8,0) -- (.8,0);} % solid horizontal \gridtoken{BRG}{|}{\draw (0,-.8) -- (0,.8);} % solid vertical \gridtoken{BRG}{+}{\draw[densely dotted] (-.8,0) -- (.8,0);} % dotted horiz \gridtoken{BRG}{:}{\draw[densely dotted] (0,-.8) -- (0,.8);} % dotted vert \NewDocumentCommand{\Bridgit}{ O{.35cm} m }{% \GridGame[#1]{BRG}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % AMAZONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcommand{\AmazonsArcher}[1][]{% \draw[-{Classical TikZ Rightarrow},#1] (.25,.25) -- (.8,.8); \draw[#1] (.25,.8) -- (.3,.3) -- (.8,.25); \draw[line width=.6pt,#1] (.2,.23) -- (.25,.25) -- (.23,.2); \draw[line width=.8pt,#1] plot[smooth] coordinates {(.2,.8) (.675,.675) (.8,.2)}; } % tokens \gridtoken{AMZ}{.}{} % documented empty position \gridtoken{AMZ}{o}{\draw (0,0) rectangle (1,1);} % empty % blocked cell (your 'x' PST: light gray filled square + outline) \gridtoken{AMZ}{x}{% \fill[fill=lightgray] (0,0) rectangle (1,1); \draw (0,0) rectangle (1,1); } % Right/outline amazon: outline disc + black archer overlay \gridtoken{AMZ}{R}{% \draw (0,0) rectangle (1,1); \draw (.5,.5) circle[radius=.45]; \AmazonsArcher } % Left/filled amazon: filled disc + white archer overlay (to match PST) \gridtoken{AMZ}{L}{% \draw (0,0) rectangle (1,1); \fill (.5,.5) circle[radius=.45]; \AmazonsArcher[draw=white] } % lowercase aliases \gridtoken{AMZ}{r}{\csname cgt@map@AMZ@R\endcsname} \gridtoken{AMZ}{l}{\csname cgt@map@AMZ@L\endcsname} % wrapper \NewDocumentCommand{\Amazons}{ O{.35cm} m }{% \GridGame[#1]{AMZ}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % FOX AND GEESE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Goose: solid profile, with a natural neck and a compact body. \gridtoken{FNG}{g}{% \draw (0,0) rectangle +(1,1); \fill (.12,.37) .. controls (.23,.48) and (.38,.48) .. (.51,.40) .. controls (.60,.35) and (.62,.43) .. (.61,.55) .. controls (.59,.66) and (.59,.75) .. (.65,.79) .. controls (.70,.83) and (.77,.80) .. (.79,.75) -- (.89,.70) -- (.78,.68) .. controls (.72,.69) and (.71,.66) .. (.72,.58) .. controls (.75,.43) and (.76,.33) .. (.67,.25) .. controls (.58,.17) and (.39,.15) .. (.27,.20) .. controls (.17,.23) and (.11,.30) .. (.08,.40) -- cycle; \fill (.40,.20) -- (.43,.20) -- (.43,.11) -- (.53,.09) -- (.38,.09) -- cycle; } % Fox: right-facing sculpted profile with tapered cheek and neck accents. \gridtoken{FNG}{f}{% \draw (0,0) rectangle +(1,1); \begin{scope}[line join=round,line cap=round] % Rear ear, behind the larger near ear. \fill (.52,.75) .. controls (.55,.83) and (.62,.88) .. (.65,.88) .. controls (.66,.84) and (.62,.75) .. (.63,.69) -- cycle; % White face and sweeping neck outline. \filldraw[fill=white] (.48,.08) .. controls (.38,.21) and (.15,.21) .. (.13,.38) .. controls (.10,.59) and (.23,.76) .. (.39,.79) .. controls (.43,.86) and (.48,.92) .. (.51,.93) .. controls (.56,.91) and (.58,.82) .. (.58,.75) .. controls (.63,.70) and (.69,.67) .. (.70,.60) .. controls (.71,.55) and (.80,.50) .. (.88,.44) .. controls (.90,.41) and (.84,.37) .. (.80,.36) .. controls (.73,.33) and (.67,.39) .. (.59,.39) .. controls (.51,.39) and (.51,.35) .. (.56,.28) .. controls (.62,.19) and (.57,.12) .. (.48,.08) -- cycle; % Near ear: tapered rim and interior. \fill (.39,.79) .. controls (.43,.86) and (.48,.92) .. (.51,.93) .. controls (.55,.90) and (.58,.81) .. (.58,.75) -- (.56,.71) .. controls (.56,.80) and (.54,.87) .. (.51,.89) .. controls (.46,.83) and (.43,.75) .. (.45,.68) .. controls (.40,.69) and (.38,.74) .. (.39,.79); \fill (.51,.85) .. controls (.52,.80) and (.52,.77) .. (.54,.74) .. controls (.51,.77) and (.49,.76) .. (.48,.74) .. controls (.48,.78) and (.50,.83) .. (.51,.85); % Separate, small eye; the cheek contour stops well below the face. % A recessed almond eye, separated from the forehead and cheek. \fill (.586,.578) .. controls (.601,.593) and (.623,.595) .. (.644,.584) .. controls (.624,.569) and (.603,.567) .. (.586,.578); \fill (.580,.584) .. controls (.601,.608) and (.628,.605) .. (.649,.588) .. controls (.625,.600) and (.603,.598) .. (.580,.584); \fill (.465,.468) .. controls (.410,.417) and (.397,.339) .. (.44,.26) .. controls (.407,.345) and (.423,.415) .. (.465,.468); % Small dark nose. \fill (.86,.455) -- (.88,.44) .. controls (.90,.42) and (.87,.40) .. (.845,.385) .. controls (.83,.40) and (.83,.43) .. (.86,.455); % Mouth and throat: a tapered curve, not a smile. \fill (.82,.37) .. controls (.73,.34) and (.67,.43) .. (.59,.43) .. controls (.67,.44) and (.73,.35) .. (.82,.37); \fill (.59,.39) .. controls (.51,.41) and (.48,.37) .. (.49,.31) .. controls (.50,.355) and (.525,.375) .. (.55,.36) .. controls (.57,.30) and (.63,.22) .. (.54,.13) -- (.48,.08) .. controls (.61,.13) and (.63,.21) .. (.56,.30) .. controls (.52,.36) and (.53,.39) .. (.59,.39); % Curved neck crest and pointed lower termination. \fill (.34,.59) .. controls (.24,.50) and (.27,.38) .. (.37,.32) .. controls (.42,.26) and (.48,.18) .. (.48,.08) .. controls (.475,.19) and (.43,.265) .. (.38,.33) .. controls (.285,.40) and (.265,.505) .. (.34,.59); \fill (.48,.08) .. controls (.39,.20) and (.19,.22) .. (.16,.37) .. controls (.17,.31) and (.18,.30) .. (.20,.30) .. controls (.20,.35) and (.21,.36) .. (.22,.37) .. controls (.21,.25) and (.39,.23) .. (.48,.08); \end{scope}% } % optional: treat '.' as empty too (handy in mixed boards) \gridtoken{FNG}{.}{} \gridtoken{FNG}{o}{\draw (0,0) rectangle +(1,1);} % your PST used 'o {}' % wrapper \NewDocumentCommand{\FoxAndGeese}{ O{.5cm} m }{% \GridGame[#1]{FNG}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % PUSH AND SHOVE AND ALL-SMALL VERSIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % ===== Push / Shove family ===== \newif\ifgridgamecolor % default false; set \gridgamecolortrue for colored O/X/G % --- core shape paths (used by all variants) --- % main blob \newcommand{\pshgBlobPath}{% plot[smooth] coordinates { (.55,.10) (.42,.20) (.33,.27) (.32,.30) (.33,.40) (.33,.50) (.33,.56) (.34,.60) (.355,.625) (.39,.625) (.39,.625) (.39,.625) (.39,.625) (.41,.80) (.425,.83) (.45,.83) (.465,.80) (.50,.40) (.525,.30) (.625,.22) }% } % highlight curve \newcommand{\pshgHiPath}{% plot[smooth] coordinates { (.355,.625) (.39,.625) (.40,.60) (.40,.415) (.40,.425) }% } % right-edge ticks: Push (P) \newcommand{\pshgTicksP}{% \draw (.60,.40)--(.70,.40); \draw (.60,.70)--(.70,.70); } % right-edge ticks: Shove (S) \newcommand{\pshgTicksS}{% \draw (.70,.30)--(.85,.30); \draw (.65,.45)--(.90,.45); \draw (.65,.60)--(.80,.60); \draw (.65,.75)--(.90,.75); } % --- drawing helpers for O/X/G under current color mode --- \newcommand{\pshgDrawO}{% \ifgridgamecolor \filldraw[fill=red] \pshgBlobPath; \else \draw \pshgBlobPath; \fi % highlight (black) \draw \pshgHiPath; } \newcommand{\pshgDrawX}{% \ifgridgamecolor \filldraw[fill=blue] \pshgBlobPath; \else \filldraw \pshgBlobPath; % default black fill+stroke \fi % white highlight on X \draw[white] \pshgHiPath; } \newcommand{\pshgDrawG}{% \ifgridgamecolor \filldraw[fill=green] \pshgBlobPath; \else \filldraw[fill=lightgray] \pshgBlobPath; \fi % highlight (black) \draw \pshgHiPath; } % --- one piece: place, optionally scale (AllSmall), and choose ticks by game --- % #1 = ticks macro (\pshgTicksP or \pshgTicksS) % #2 = body macro (\pshgDrawO / \pshgDrawX / \pshgDrawG) % #3 = scale factor (1 or 0.6) \newcommand{\pshgPiece}[3]{% \begin{scope}[shift={(.5,.5)}, scale=#3, shift={(-.5,-.5)}] % scale about cell center #2 % draw blob + highlight #1 % draw right-edge tick marks \end{scope}% } % -------------------- Push tokens (map: PUSH) -------------------- \gridtoken{PUSH}{.}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);} % empty \gridtoken{PUSH}{O}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawO}{1}} \gridtoken{PUSH}{o}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawO}{1}} \gridtoken{PUSH}{X}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawX}{1}} \gridtoken{PUSH}{x}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawX}{1}} \gridtoken{PUSH}{L}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawX}{1}} % alias \gridtoken{PUSH}{R}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawO}{1}} % alias \gridtoken{PUSH}{G}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1); \pshgPiece{\pshgTicksP}{\pshgDrawG}{1}} \gridtoken{PUSH}{#}{} \NewDocumentCommand{\Push}{ O{.5cm} m }{% \GridGame[#1]{PUSH}{#2}% } % -------------------- Shove tokens (map: SHOV) -------------------- \gridtoken{SHOV}{.}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);} % empty \gridtoken{SHOV}{O}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawO}{1}} \gridtoken{SHOV}{o}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawO}{1}} \gridtoken{SHOV}{X}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawX}{1}} \gridtoken{SHOV}{x}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawX}{1}} \gridtoken{SHOV}{L}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawX}{1}} \gridtoken{SHOV}{R}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawO}{1}} \gridtoken{SHOV}{G}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawG}{1}} \gridtoken{SHOV}{#}{} \NewDocumentCommand{\Shove}{ O{.5cm} m }{% \GridGame[#1]{SHOV}{#2}% } % ------------- AllSmallPush tokens (map: ASP) ------------- \gridtoken{ASP}{.}{} % empty \gridtoken{ASP}{O}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawO}{0.6}} \gridtoken{ASP}{o}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawO}{0.6}} \gridtoken{ASP}{X}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawX}{0.6}} \gridtoken{ASP}{x}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawX}{0.6}} \gridtoken{ASP}{L}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawX}{0.6}} \gridtoken{ASP}{R}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawO}{0.6}} \gridtoken{ASP}{G}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksP}{\pshgDrawG}{0.6}} \gridtoken{ASP}{#}{} \NewDocumentCommand{\AllSmallPush}{ O{.5cm} m }{% \GridGame[#1]{ASP}{#2}% } % ------------- AllSmallShove tokens (map: ASHV) ------------- \gridtoken{ASHV}{.}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);} % empty \gridtoken{ASHV}{O}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawO}{0.6}} \gridtoken{ASHV}{o}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawO}{0.6}} \gridtoken{ASHV}{X}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawX}{0.6}} \gridtoken{ASHV}{x}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawX}{0.6}} \gridtoken{ASHV}{L}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawX}{0.6}} \gridtoken{ASHV}{R}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawO}{0.6}} \gridtoken{ASHV}{G}{\draw (0,0) -- (1,0) -- (1,1) -- (0,1);\pshgPiece{\pshgTicksS}{\pshgDrawG}{0.6}} \gridtoken{ASHV}{#}{} \NewDocumentCommand{\AllSmallShove}{ O{.5cm} m }{% \GridGame[#1]{ASHV}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % TOPPLING DOMINOES %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % keeps ground out of the bounding box \newcommand{\tdominoGround}{% \begin{pgfinterruptboundingbox} \fill[lightgray] (-.5,-.6) rectangle +(1,.2); \end{pgfinterruptboundingbox} } \newcommand{\tdominoOutline}{% \tdominoGround \draw[rounded corners=.05mm] (-.2,-.5) -- (-.2,.3) -- (0,.5) -- (.2,.5) -- (.2,-.5) -- cycle; \draw (0,-.5) -- (0,.5); \draw (0,0) -- (-.2,-.1); } \newcommand{\tdominoFilled}[2]{% \tdominoGround \filldraw[fill=#1,rounded corners=.05mm] (-.2,-.5) -- (-.2,.3) -- (0,.5) -- (.2,.5) -- (.2,-.5) -- cycle; \draw[#2] (0,-.5) -- (0,.5); \draw[#2] (0,0) -- (-.2,-.1); } \gridtoken{TDOM}{.}{% \begin{scope}[shift={(.5,.5)}] \tdominoGround \end{scope} } \gridtoken{TDOM}{o}{% \begin{scope}[shift={(.5,.5)}] \tdominoOutline \end{scope} } \gridtoken{TDOM}{x}{% \begin{scope}[shift={(.5,.5)}] \tdominoFilled{black}{white} \end{scope} } \gridtoken{TDOM}{g}{% \begin{scope}[shift={(.5,.5)}] \tdominoFilled{lightgray}{black} \end{scope} } \NewDocumentCommand{\TopplingDominoes}{ O{.5cm} m }{% \GridGame[#1]{TDOM}{#2}% } % ==== TDOMC (color) ==== \gridtoken{TDOMC}{.}{% \begin{scope}[shift={(.5,.5)}] \tdominoGround \end{scope} } \gridtoken{TDOMC}{o}{% \begin{scope}[shift={(.5,.5)}] \tdominoFilled{red}{black} \end{scope} } \gridtoken{TDOMC}{x}{% \begin{scope}[shift={(.5,.5)}] \tdominoFilled{blue}{white} \end{scope} } \gridtoken{TDOMC}{g}{% \begin{scope}[shift={(.5,.5)}] \tdominoFilled{green!70!black}{black} \end{scope} } \NewDocumentCommand{\TopplingDominoesColor}{ O{.5cm} m }{% \GridGame[#1]{TDOMC}{#2}% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % MAZE AND MAIZE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % The modern maps use one checkerboard sublattice of diamond cells. % Draw every fill first, then every white seam, then the existing walls/markers. % This prevents a later cell from erasing a wall supplied by its neighbour. \tikzset{ cgt maze cell/.style={fill=black!12}, cgt maze seam/.style={draw=white,line width=.8pt}, cgt maze wall/.style={draw=black,line width=.5pt} } \newcommand{\cgt@mazediamond}{(-1,0)--(0,1)--(1,0)--(0,-1)--cycle} \ExplSyntaxOn \int_new:N \l__cgt_maze_bgrow_int \int_new:N \l__cgt_maze_bgcol_int \prop_new:N \l__cgt_maze_walls_prop \prop_const_from_keyval:Nn \c__cgt_maze_masks_prop {0=0,1=1,2=2,3=3,4=4,5=5,6=6,7=7,8=8,9=9,a=10,b=11,c=12,d=13,e=14,f=15,A=0,B=1,C=2,D=3,E=4,F=5,G=6,H=7,I=8,J=9,K=10,L=11,M=12,N=13,O=14,P=15,/=10,|=5,*=0,x=0,o=0} \cs_new:Npn \cgt_maze_edge_key:nn #1#2 { \int_eval:n {2*\l__cgt_maze_bgcol_int+#1}/ \int_eval:n {2*\l__cgt_maze_bgrow_int+#2} } \cs_new_protected:Npn \cgt_maze_record_edge:nnnn #1#2#3#4 { \int_if_odd:nT {\int_div_truncate:nn {#1}{#2}}{ \exp_args:NNx \prop_put:Nnn \l__cgt_maze_walls_prop {\cgt_maze_edge_key:nn {#3}{#4}} {1} } } \cs_new_protected:Npn \cgt_maze_record_walls:n #1 { \prop_get:NnNT \c__cgt_maze_masks_prop {#1} \l_tmpa_tl { \cgt_maze_record_edge:nnnn {\l_tmpa_tl}{1}{-1}{1} \cgt_maze_record_edge:nnnn {\l_tmpa_tl}{2}{1}{1} \cgt_maze_record_edge:nnnn {\l_tmpa_tl}{4}{1}{-1} \cgt_maze_record_edge:nnnn {\l_tmpa_tl}{8}{-1}{-1} } } \cs_new_protected:Npn \cgt_maze_seam:nnn #1#2#3 { \exp_args:NNx \prop_if_in:NnF \l__cgt_maze_walls_prop {\cgt_maze_edge_key:nn {#1}{#2}} {\draw[cgt~maze~seam] #3;} } \cs_new_protected:Npn \cgt_maze_seams: { \cgt_maze_seam:nnn {-1}{1}{(-1,0)--(0,1)} \cgt_maze_seam:nnn {1}{1}{(0,1)--(1,0)} \cgt_maze_seam:nnn {1}{-1}{(1,0)--(0,-1)} \cgt_maze_seam:nnn {-1}{-1}{(0,-1)--(-1,0)} } \cs_new_protected:Npn \cgt_maze_background_pass:nn #1#2 { \int_set:Nn \l__cgt_maze_bgrow_int {\l__R} \seq_map_inline:Nn \l__rows { \int_decr:N \l__cgt_maze_bgrow_int \int_zero:N \l__cgt_maze_bgcol_int \tl_map_inline:nn {##1}{ \str_if_eq:nnF {####1}{.}{ \cs_if_exist:cT {cgt@map@#1@####1}{ \int_compare:nNnT {#2}={1}{\cgt_maze_record_walls:n {####1}} \begin{scope}[shift={(\int_use:N\l__cgt_maze_bgcol_int,\int_use:N\l__cgt_maze_bgrow_int)}] \int_compare:nNnTF {#2}={1} {\fill[cgt~maze~cell] \cgt@mazediamond;} {\cgt_maze_seams:} \end{scope} } } \int_incr:N \l__cgt_maze_bgcol_int } } } \cs_new_protected:Npn \cgt_maze_background:n #1 { \prop_clear:N \l__cgt_maze_walls_prop \cgt_maze_background_pass:nn {#1}{1} \cgt_maze_background_pass:nn {#1}{2} } \cs_new_protected:cpn {cgt@beforecells@MAZE}{\cgt_maze_background:n {MAZE}} \cs_new_protected:cpn {cgt@beforecells@MAIZ}{\cgt_maze_background:n {MAIZ}} % Give the documentation's individual token boxes the same appearance. \cs_new_protected:Npn \cgt_maze_single_background:n #1 { \str_if_eq:nnF {#1}{.}{ \group_begin: \int_zero:N \l__cgt_maze_bgcol_int \int_zero:N \l__cgt_maze_bgrow_int \prop_clear:N \l__cgt_maze_walls_prop \cgt_maze_record_walls:n {#1} \fill[cgt~maze~cell] \cgt@mazediamond; \cgt_maze_seams: \group_end: } } \cs_new_eq:cN {cgt@beforetoken@MAZE} \cgt_maze_single_background:n \cs_new_eq:cN {cgt@beforetoken@MAIZ} \cgt_maze_single_background:n \ExplSyntaxOff % ===== Maze (explicit 32-symbol set) ===== % helpers (no logic): the four diamond walls and the center star \newcommand{\MazeLT}{\draw[cgt maze wall] (-1,0) -- (0,1);} % left→top \newcommand{\MazeTR}{\draw[cgt maze wall] (0,1) -- (1,0);} % top→right \newcommand{\MazeRB}{\draw[cgt maze wall] (1,0) -- (0,-1);} % right→bottom \newcommand{\MazeBL}{\draw[cgt maze wall] (-1,0) -- (0,-1);} % bottom→left \newcommand{\MazeCenter}{\draw (0,0) circle[radius=.5]; \node at (0,0){$\star$};} % empty / center-only (not counted in the 32) \gridtoken{MAZE}{.}{} % empty \gridtoken{MAZE}{*}{\MazeCenter} % center only % ---- walls only: 0..f ---- \gridtoken{MAZE}{0}{} % none \gridtoken{MAZE}{1}{\MazeLT} \gridtoken{MAZE}{2}{\MazeTR} \gridtoken{MAZE}{3}{\MazeLT \MazeTR} \gridtoken{MAZE}{4}{\MazeRB} \gridtoken{MAZE}{5}{\MazeLT \MazeRB} \gridtoken{MAZE}{6}{\MazeTR \MazeRB} \gridtoken{MAZE}{7}{\MazeLT \MazeTR \MazeRB} \gridtoken{MAZE}{8}{\MazeBL} \gridtoken{MAZE}{9}{\MazeLT \MazeBL} \gridtoken{MAZE}{a}{\MazeTR \MazeBL} \gridtoken{MAZE}{b}{\MazeLT \MazeTR \MazeBL} \gridtoken{MAZE}{c}{\MazeRB \MazeBL} \gridtoken{MAZE}{d}{\MazeLT \MazeRB \MazeBL} \gridtoken{MAZE}{e}{\MazeTR \MazeRB \MazeBL} \gridtoken{MAZE}{f}{\MazeLT \MazeTR \MazeRB \MazeBL} % ---- walls + center: A..P (same as 0..f plus MazeCenter) ---- \gridtoken{MAZE}{A}{\MazeCenter} \gridtoken{MAZE}{B}{\MazeLT \MazeCenter} \gridtoken{MAZE}{C}{\MazeTR \MazeCenter} \gridtoken{MAZE}{D}{\MazeLT \MazeTR \MazeCenter} \gridtoken{MAZE}{E}{\MazeRB \MazeCenter} \gridtoken{MAZE}{F}{\MazeLT \MazeRB \MazeCenter} \gridtoken{MAZE}{G}{\MazeTR \MazeRB \MazeCenter} \gridtoken{MAZE}{H}{\MazeLT \MazeTR \MazeRB \MazeCenter} \gridtoken{MAZE}{I}{\MazeBL \MazeCenter} \gridtoken{MAZE}{J}{\MazeLT \MazeBL \MazeCenter} \gridtoken{MAZE}{K}{\MazeTR \MazeBL \MazeCenter} \gridtoken{MAZE}{L}{\MazeLT \MazeTR \MazeBL \MazeCenter} \gridtoken{MAZE}{M}{\MazeRB \MazeBL \MazeCenter} \gridtoken{MAZE}{N}{\MazeLT \MazeRB \MazeBL \MazeCenter} \gridtoken{MAZE}{O}{\MazeTR \MazeRB \MazeBL \MazeCenter} \gridtoken{MAZE}{P}{\MazeLT \MazeTR \MazeRB \MazeBL \MazeCenter} % wrapper (uses your existing \GridGame) \NewDocumentCommand{\Maze}{ O{.3cm} m }{% \GridGame[#1]{MAZE}{#2}% } % ===== Maize (explicit 32-symbol set; reuses MazeLT/TR/RB/BL) ===== \newcommand{\MaizeCenter}{% \draw (0,0) circle[radius=.5];% \fill (0,0) circle[radius=.1];% } % empty / center-only \gridtoken{MAIZ}{.}{} % empty \gridtoken{MAIZ}{*}{\MaizeCenter} % center only % ---- walls only: 0..f ---- \gridtoken{MAIZ}{0}{} % none \gridtoken{MAIZ}{1}{\MazeLT} \gridtoken{MAIZ}{2}{\MazeTR} \gridtoken{MAIZ}{3}{\MazeLT \MazeTR} \gridtoken{MAIZ}{4}{\MazeRB} \gridtoken{MAIZ}{5}{\MazeLT \MazeRB} \gridtoken{MAIZ}{6}{\MazeTR \MazeRB} \gridtoken{MAIZ}{7}{\MazeLT \MazeTR \MazeRB} \gridtoken{MAIZ}{8}{\MazeBL} \gridtoken{MAIZ}{9}{\MazeLT \MazeBL} \gridtoken{MAIZ}{a}{\MazeTR \MazeBL} \gridtoken{MAIZ}{b}{\MazeLT \MazeTR \MazeBL} \gridtoken{MAIZ}{c}{\MazeRB \MazeBL} \gridtoken{MAIZ}{d}{\MazeLT \MazeRB \MazeBL} \gridtoken{MAIZ}{e}{\MazeTR \MazeRB \MazeBL} \gridtoken{MAIZ}{f}{\MazeLT \MazeTR \MazeRB \MazeBL} % ---- walls + center: A..P (same as 0..f plus MaizeCenter) ---- \gridtoken{MAIZ}{A}{\MaizeCenter} \gridtoken{MAIZ}{B}{\MazeLT \MaizeCenter} \gridtoken{MAIZ}{C}{\MazeTR \MaizeCenter} \gridtoken{MAIZ}{D}{\MazeLT \MazeTR \MaizeCenter} \gridtoken{MAIZ}{E}{\MazeRB \MaizeCenter} \gridtoken{MAIZ}{F}{\MazeLT \MazeRB \MaizeCenter} \gridtoken{MAIZ}{G}{\MazeTR \MazeRB \MaizeCenter} \gridtoken{MAIZ}{H}{\MazeLT \MazeTR \MazeRB \MaizeCenter} \gridtoken{MAIZ}{I}{\MazeBL \MaizeCenter} \gridtoken{MAIZ}{J}{\MazeLT \MazeBL \MaizeCenter} \gridtoken{MAIZ}{K}{\MazeTR \MazeBL \MaizeCenter} \gridtoken{MAIZ}{L}{\MazeLT \MazeTR \MazeBL \MaizeCenter} \gridtoken{MAIZ}{M}{\MazeRB \MazeBL \MaizeCenter} \gridtoken{MAIZ}{N}{\MazeLT \MazeRB \MazeBL \MaizeCenter} \gridtoken{MAIZ}{O}{\MazeTR \MazeRB \MazeBL \MaizeCenter} \gridtoken{MAIZ}{P}{\MazeLT \MazeTR \MazeRB \MazeBL \MaizeCenter} % wrapper (same default unit as Maze) \NewDocumentCommand{\Maize}{ O{.3cm} m }{% \GridGame[#1]{MAIZ}{#2}% } % one-token box (inline), if you haven't added this yet \NewDocumentCommand{\TokenBox}{ O{.35cm} m m }{% \ensuremath{% \mathord{% \vcenter{\hbox{% \begin{tikzpicture}[x=#1,y=#1, every node/.style={inner sep=0pt,outer sep=0pt}] % token draws and sets its own bbox \expandafter\ifx\csname cgt@map@#2@#3\endcsname\relax \else \ifcsname cgt@beforetoken@#2\endcsname \csname cgt@beforetoken@#2\endcsname{#3} \fi \csname cgt@map@#2@#3\endcsname \fi \end{tikzpicture}% }}% }% }% } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % CHRISTMAS LIGHTS' FIXTURE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Defaults (no overhang) \providecommand\cgt@bboxlower@DEFAULT{0} \providecommand\cgt@bboxupper@DEFAULT{0} % Xmas overhang: wire/socket dip below the cell \providecommand\cgt@bboxlower@XMAS{-0.25} % tweak to taste: -0.20 .. -0.35 \let\cgt@bboxlower@XMSC\cgt@bboxlower@XMAS % colored variant if you have one \providecommand\cgt@bboxupper@XMAS{0} \let\cgt@bboxupper@XMSC\cgt@bboxupper@XMAS \newcommand{\cgt@xmasunit}{.35cm} % helper to define named commands like \XmasB → TokenBox{XMAS}{B} \newcommand{\defXmasCmd}[1]{% \expandafter\newcommand\csname Xmas#1\endcsname{% \TokenBox[\cgt@xmasunit]{XMAS}{#1}% }% } \newcommand{\UseXmas}[1]{% \edef\XMAS@name{Xmas#1}% \@ifundefined{\XMAS@name}{}{% \csname \XMAS@name\endcsname }% } % \Xmas[]{} calls \UseXmas for each character. \ExplSyntaxOn \NewDocumentCommand{\Xmas}{ O{.35cm} m }{% \group_begin: \cs_set:Npn \cgt@xmasunit {#1} % normalize: strip spaces and NBSPs \tl_set:Nn \l_tmpa_tl {#2} \tl_remove_all:Nn \l_tmpa_tl { \c_space_tl } \tl_remove_all:Nn \l_tmpa_tl { ~ } \tl_remove_all:Nn \l_tmpa_tl { ^^a0 } % walk each character \tl_map_inline:Nn \l_tmpa_tl { % uppercase this single character \tl_set:Nx \l_tmpb_tl { \tl_upper_case:n {##1} } % OPTIONAL first-char remap R->W, B->T: % comment out these two lines if you don't want the remap % \str_if_eq:VnTF \l_tmpb_tl { R } { \tl_set:Nn \l_tmpb_tl { W } }{ % \str_if_eq:VnT \l_tmpb_tl { B } { \tl_set:Nn \l_tmpb_tl { T } } % } % call \UseXmas{LETTER}; if \Xmas isn't defined, \UseXmas does nothing \exp_args:NV \UseXmas \l_tmpb_tl } \group_end: } \ExplSyntaxOff \newcommand{\XmasB}{\TokenBox[\cgt@xmasunit]{XMAS}{B}} \newcommand{\XmasC}{\TokenBox[\cgt@xmasunit]{XMAS}{C}} \newcommand{\XmasG}{\TokenBox[\cgt@xmasunit]{XMAS}{G}} \newcommand{\XmasM}{\TokenBox[\cgt@xmasunit]{XMAS}{M}} \newcommand{\XmasN}{\TokenBox[\cgt@xmasunit]{XMAS}{N}} \newcommand{\XmasO}{\TokenBox[\cgt@xmasunit]{XMAS}{O}} \newcommand{\XmasP}{\TokenBox[\cgt@xmasunit]{XMAS}{P}} \newcommand{\XmasR}{\TokenBox[\cgt@xmasunit]{XMAS}{R}} \newcommand{\XmasW}{\TokenBox[\cgt@xmasunit]{XMAS}{W}} \newcommand{\XmasY}{\TokenBox[\cgt@xmasunit]{XMAS}{Y}} % Common vertical window matches the paper's fixture PDFs. Short fixtures % reserve their own width, but keep the same rail height when math-centered. \newcommand{\xmasPrimeBBox}[2][-3]{% \path[use as bounding box] (#1,-5) rectangle (#2,2.1);% } % Draw the wire/rail/plug without affecting bbox \newcommand{\xmasRail}{% \begin{pgfinterruptboundingbox} \filldraw (-3,-2.67) rectangle +(6,.14); % rail \filldraw (2.9,-2.1) rectangle +(.2,-1); % plug \end{pgfinterruptboundingbox}% } \gridtoken{XMAS}{C}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \fill[cyan] (0,0) ellipse (1.5 and 2); \draw (0,-2) -- (-0.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (0.5,-.5); \draw (-0.8,-2) -- (0.8,-2); \draw (-0.8,-2.2) -- (0.8,-2.2); \draw (-0.8,-2.4) -- (0.8,-2.4); \xmasRail } \gridtoken{XMAS}{G}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \fill[green] (0,0) ellipse (1.5 and 2); \draw (0,-2) -- (-0.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (0.5,-.5); \draw (-0.8,-2) -- (0.8,-2); \draw (-0.8,-2.2) -- (0.8,-2.2); \draw (-0.8,-2.4) -- (0.8,-2.4); \xmasRail } \gridtoken{XMAS}{O}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \fill[orange] (0,0) ellipse (1.5 and 2); \draw (0,-2) -- (-0.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (0.5,-.5); \draw (-0.8,-2) -- (0.8,-2); \draw (-0.8,-2.2) -- (0.8,-2.2); \draw (-0.8,-2.4) -- (0.8,-2.4); \xmasRail } \gridtoken{XMAS}{R}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \fill[red] (0,0) ellipse (1.5 and 2); \draw (0,-2) -- (-0.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (0.5,-.5); \draw (-0.8,-2) -- (0.8,-2); \draw (-0.8,-2.2) -- (0.8,-2.2); \draw (-0.8,-2.4) -- (0.8,-2.4); \xmasRail } \gridtoken{XMAS}{Y}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \fill[yellow] (0,0) ellipse (1.5 and 2); \draw (0,-2) -- (-0.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (0.5,-.5); \draw (-0.8,-2) -- (0.8,-2); \draw (-0.8,-2.2) -- (0.8,-2.2); \draw (-0.8,-2.4) -- (0.8,-2.4); \xmasRail } \gridtoken{XMAS}{W}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \draw (0,0) ellipse (1.5 and 2); \draw (0,-2) -- (-0.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (0.5,-.5); \draw (-0.8,-2) -- (0.8,-2); \draw (-0.8,-2.2) -- (0.8,-2.2); \draw (-0.8,-2.4) -- (0.8,-2.4); \xmasRail } % Broken bulb (B), short rail sections (M,N), and plug (P): \gridtoken{XMAS}{B}{% \xmasPrimeBBox{3.07} \clip(-3,-5) rectangle (3.07,2.1); \draw[black] (-1.35,1.03) arc(150:390:1.5 and 2); \draw (0,-2) -- (-.5,-.5); \draw (0,-2) -- (0,-.5); \draw (0,-2) -- (.5,-.5); \draw (-1.35,1.03) -- (-1.35+0.5,1.03-0.5) -- cycle; \draw (-1.35+0.5,1.03-0.5) -- (-1.35+0.5+0.5,1.03) -- cycle; \draw (-1.35+0.5+0.5,1.03) -- (-1.35+0.5+0.5+0.5,1.03-0.5) -- cycle; \draw (-1.35+0.5+0.5+0.5,1.03-0.5) -- (-1.35+0.5+0.5+0.5+0.5,1.03) -- cycle; \draw (-1.35+0.5+0.5+0.5+0.5,1.03) -- (-1.35+0.5+0.5+0.5+0.5+0.6,1.03) -- cycle; \fill[black] (-0.8,-2) rectangle (0.8,-2.6); \xmasRail } \gridtoken{XMAS}{M}{% \xmasPrimeBBox[-3.09]{-.88} \clip(-3.09,-5) rectangle (-.88,2.1); \begin{pgfinterruptboundingbox} % Filled geometry scales with the drawing unit (including thickness). \fill[lightgray] (-3,-3.1) rectangle (-.95,-2.1); \fill (-3.25,-3.1) rectangle (-2.75,-2.1); \fill (-1.20,-3.1) rectangle (-.70,-2.1); \end{pgfinterruptboundingbox} } \gridtoken{XMAS}{N}{% \xmasPrimeBBox{-.88} \clip(-3,-5) rectangle (-.88,2.1); \begin{pgfinterruptboundingbox} % Filled geometry scales with the drawing unit (including thickness). \fill[lightgray] (-3,-3.1) rectangle (-.95,-2.1); \fill (-1.20,-3.1) rectangle (-.70,-2.1); \end{pgfinterruptboundingbox} } \gridtoken{XMAS}{P}{% \xmasPrimeBBox{-.5} \clip(-3,-5) rectangle (-.5,2.1); \begin{pgfinterruptboundingbox} \fill (-2.4,-5) rectangle +(.2,4.9); \fill (-2.8,-2.25) rectangle +(.8,.3); \fill (-2.8,-3.15) rectangle +(.8,.3); \filldraw[black] (-2,-4.1) arc (-90:90:1.5) -- cycle; \end{pgfinterruptboundingbox} } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % MINESWEEPER %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Clue colors follow the shared board color switch. \newcommand{\cgt@mineclue}[2]{% \ifgridgamecolor\textcolor{#1}{\textbf{#2}}% \else\textcolor{black}{\textbf{#2}}\fi } \gridtoken{MINE}{.}{\draw (0,0) rectangle +(1,1);} \gridtoken{MINE}{0}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\textbf{0}};} \gridtoken{MINE}{1}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{blue}{1}};} \gridtoken{MINE}{2}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{green!70!black}{2}};} \gridtoken{MINE}{3}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{red}{3}};} \gridtoken{MINE}{4}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{blue!50!black}{4}};} \gridtoken{MINE}{5}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{red!60!black}{5}};} \gridtoken{MINE}{6}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{cyan}{6}};} \gridtoken{MINE}{7}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{orange}{7}};} \gridtoken{MINE}{8}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {\cgt@mineclue{gray}{8}};} \gridtoken{MINE}{a}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {$a$};} \gridtoken{MINE}{A}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {$\bar{a}$};} \gridtoken{MINE}{b}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {$b$};} \gridtoken{MINE}{B}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {$\bar{b}$};} \gridtoken{MINE}{c}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {$c$};} \gridtoken{MINE}{C}{\draw (0,0) rectangle +(1,1); \path node at (.5,.5) {$\bar{c}$};} \gridtoken{MINE}{f}{\draw (0,0) rectangle +(1,1); \begin{scope}[shift={(.5,.5)}, scale=1.7] % center at (.5,.5), 1.3× \draw (-.15,-.2) -- (-.15,.2); % pole \ifgridgamecolor\def\cgt@mineflag{red}\else\def\cgt@mineflag{black}\fi \draw[fill=\cgt@mineflag] (-.15,.2) -- (.15,.1) -- (-.15,0) -- cycle; % flag \end{scope}} \NewDocumentCommand{\Minesweeper}{ O{.5cm} m }{% \GridGame[#1]{MINE}{#2}}% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Additional boards and compatibility aliases %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Aliases resolve the target at drawing time, preserving user customizations. \newcommand{\cgt@tokenalias}[3]{% \gridtoken{#1}{#2}{\csname cgt@map@#1@#3\endcsname}% } % AntiClobber uses the vertically reflected Clobber piece artwork. \gridtoken{ACLOB}{O}{\begin{scope}[shift={(0,1)},yscale=-1] \csname cgt@map@CLOB@O\endcsname\end{scope}} \gridtoken{ACLOB}{X}{\begin{scope}[shift={(0,1)},yscale=-1] \csname cgt@map@CLOB@X\endcsname\end{scope}} \gridtoken{ACLOB}{.}{\draw (0,0) rectangle (1,1);} \NewDocumentCommand{\AntiClobber}{O{.3cm} m}{\GridGame[#1]{ACLOB}{#2}} \NewDocumentCommand{\anticlobber}{O{.3cm} m}{\AntiClobber[#1]{#2}} % Hackenbush strings extend rightward from a common ground line, one per row. % Set \gridgamecolortrue for red/blue/green; false gives print-safe styles. \newcommand{\cgt@hackedge}[1]{% \ifgridgamecolor \draw[draw=#1,line width=1.1pt] (0,.5)--(1,.5); \else \csname cgt@hackstyle@#1\endcsname \fi \fill (0,.5) circle[radius=.075];\fill (1,.5) circle[radius=.075]; } \def\cgt@hackstyle@blue{\draw[line width=1.1pt] (0,.5)--(1,.5);} \def\cgt@hackstyle@red{\draw[double=white,double distance=.7pt,line width=.3pt] (0,.5)--(1,.5);} \def\cgt@hackstyle@green{\draw[gray,line width=1.1pt] (0,.5)--(1,.5);} \gridtoken{HACK}{R}{\cgt@hackedge{red}} \gridtoken{HACK}{B}{\cgt@hackedge{blue}} \gridtoken{HACK}{G}{\cgt@hackedge{green}} \gridtoken{HACK}{.}{} \ExplSyntaxOn \cs_new:cpn {cgt@beforecells@HACK}{ \pgfresetboundingbox \int_compare:nNnT {\l__R}>{0}{ \draw[gray,line~width=2pt] (0,.15)--(0,{\int_eval:n{\l__R}-.15}); } } \ExplSyntaxOff \NewDocumentCommand{\HackenbushString}{O{.5cm} m}{\GridGame[#1]{HACK}{#2}} \NewDocumentCommand{\Hackenbushstring}{O{.5cm} m}{\HackenbushString[#1]{#2}} % Hex: a rhombic array of regular, point-up hexagons; unit = cell width. \newcommand{\cgt@hexcell}{% \draw (0,.577350269)--(.5,.288675135)--(.5,-.288675135) --(0,-.577350269)--(-.5,-.288675135)--(-.5,.288675135)--cycle; } % Left/black pieces become blue, and right/white pieces red, in color mode. \newcommand{\cgt@hexblack}{% \ifgridgamecolor\fill[blue] (0,0) circle[radius=.30];% \else\fill (0,0) circle[radius=.30];\fi } \newcommand{\cgt@hexwhite}{% \ifgridgamecolor\fill[red] (0,0) circle[radius=.30];% \else\draw[fill=white] (0,0) circle[radius=.30];% \draw (0,0) circle[radius=.12];\fi } \gridtoken{HEX}{o}{\cgt@hexcell} \gridtoken{HEX}{X}{\cgt@hexcell\cgt@hexblack} \gridtoken{HEX}{O}{\cgt@hexcell\cgt@hexwhite} \gridtoken{HEX}{L}{\cgt@hexblack} \gridtoken{HEX}{R}{\cgt@hexwhite} \gridtoken{HEX}{.}{} \ExplSyntaxOn \cs_new:cpn {cgt@beforecells@HEX}{\pgfresetboundingbox} \cs_new:cpn {cgt@position@HEX}{ ({\int_eval:n{\l__col-1}+.5*\int_eval:n{\l__row-1}}, {-.866025404*\int_eval:n{\l__row-1}}) } \ExplSyntaxOff % Hex options: [cell width][boundary=standard|swapped|none, % edges={row/column/NE/blue,row/column/W/red,...}]. % Rows and columns are 1-based in the normalized input (empty rows ignored). \ExplSyntaxOn \cs_generate_variant:Nn \regex_match:nnTF {ne} \tl_new:N \l__cgt_hex_boundary_tl \clist_new:N \l__cgt_hex_edges_clist \seq_new:N \l__cgt_hex_edge_seq \tl_new:N \l__cgt_hex_row_tl \tl_new:N \l__cgt_hex_color_tl \bool_new:N \l__cgt_hex_valid_bool \int_new:N \l__cgt_hex_r_int \int_new:N \l__cgt_hex_c_int \keys_define:nn { cgt/hex } { boundary .choice:, boundary / none .code:n = {\tl_set:Nn \l__cgt_hex_boundary_tl {none}}, boundary / standard .code:n = {\tl_set:Nn \l__cgt_hex_boundary_tl {standard}}, boundary / swapped .code:n = {\tl_set:Nn \l__cgt_hex_boundary_tl {swapped}}, edges .clist_set:N = \l__cgt_hex_edges_clist, } \msg_new:nnn {combgames-tikz}{hex-edge} {Invalid~Hex~edge~'#1'.~Use~row/column/NE|E|SE|SW|W|NW/blue|red;~the~cell~must~exist.} \msg_new:nnn {combgames-tikz}{hex-full-board} {The~Hex~boundary~shortcut~requires~equal-length~rows~without~holes~('.').~Use~explicit~edges~for~fragments.} % Endpoints follow a point-up hexagon clockwise from its top vertex. \cs_new:cpn {cgt@hexedge@NE}{(0,.577350269)--(.5,.288675135)} \cs_new:cpn {cgt@hexedge@E}{(.5,.288675135)--(.5,-.288675135)} \cs_new:cpn {cgt@hexedge@SE}{(.5,-.288675135)--(0,-.577350269)} \cs_new:cpn {cgt@hexedge@SW}{(0,-.577350269)--(-.5,-.288675135)} \cs_new:cpn {cgt@hexedge@W}{(-.5,-.288675135)--(-.5,.288675135)} \cs_new:cpn {cgt@hexedge@NW}{(-.5,.288675135)--(0,.577350269)} \cs_new_protected:Npn \cgt_hex_draw_edge:nnnn #1#2#3#4 { \edef\cgt@edgepath{\use:c{cgt@hexedge@#3}} \begin{scope}[shift={({#2-1+.5*(#1-1)},{-.866025404*(#1-1)})}] \edef\cgt@drawedge{\noexpand\draw[draw=#4,line~width=1.4pt,line~cap=round]~\cgt@edgepath;} \cgt@drawedge \end{scope} } \cs_new_protected:Npn \cgt_hex_explicit_edge:n #1 { \seq_set_split:Nnn \l__cgt_hex_edge_seq {/}{#1} \bool_set_true:N \l__cgt_hex_valid_bool \int_compare:nNnTF {\seq_count:N\l__cgt_hex_edge_seq}={4}{ \regex_match:neTF {\A[1-9][0-9]*\Z}{\seq_item:Nn\l__cgt_hex_edge_seq{1}}{}{ \bool_set_false:N\l__cgt_hex_valid_bool} \regex_match:neTF {\A[1-9][0-9]*\Z}{\seq_item:Nn\l__cgt_hex_edge_seq{2}}{}{ \bool_set_false:N\l__cgt_hex_valid_bool} \cs_if_exist:cF {cgt@hexedge@\seq_item:Nn\l__cgt_hex_edge_seq{3}}{ \bool_set_false:N\l__cgt_hex_valid_bool} \str_case_e:nnF {\seq_item:Nn\l__cgt_hex_edge_seq{4}}{{blue}{}{red}{}}{ \bool_set_false:N\l__cgt_hex_valid_bool} }{\bool_set_false:N\l__cgt_hex_valid_bool} \bool_if:NT \l__cgt_hex_valid_bool { \int_set:Nn\l__cgt_hex_r_int{\seq_item:Nn\l__cgt_hex_edge_seq{1}} \int_set:Nn\l__cgt_hex_c_int{\seq_item:Nn\l__cgt_hex_edge_seq{2}} \int_compare:nNnTF {\l__cgt_hex_r_int}>{\l__R}{ \bool_set_false:N\l__cgt_hex_valid_bool }{ \tl_set:Ne\l__cgt_hex_row_tl{\seq_item:Nn\l__rows{\l__cgt_hex_r_int}} \int_compare:nNnTF {\l__cgt_hex_c_int}>{\tl_count:N\l__cgt_hex_row_tl}{ \bool_set_false:N\l__cgt_hex_valid_bool }{ \str_if_eq:eeT{\tl_item:Nn\l__cgt_hex_row_tl{\l__cgt_hex_c_int}}{.}{ \bool_set_false:N\l__cgt_hex_valid_bool} } } } \bool_if:NTF\l__cgt_hex_valid_bool{ \cgt_hex_draw_edge:nnnn{\int_use:N\l__cgt_hex_r_int}{\int_use:N\l__cgt_hex_c_int} {\seq_item:Nn\l__cgt_hex_edge_seq{3}}{\seq_item:Nn\l__cgt_hex_edge_seq{4}} }{\msg_error:nnn{combgames-tikz}{hex-edge}{#1}} } \cs_new_protected:cpn {cgt@aftercells@HEX}{ \tl_if_eq:NnF\l__cgt_hex_boundary_tl{none}{ \bool_set_true:N\l__cgt_hex_valid_bool \seq_map_inline:Nn\l__rows{ \int_compare:nNnF{\tl_count:n{##1}}={\l__C}{\bool_set_false:N\l__cgt_hex_valid_bool} \tl_if_in:nnT{##1}{.}{\bool_set_false:N\l__cgt_hex_valid_bool} } \bool_if:NTF\l__cgt_hex_valid_bool{ \int_compare:nNnT{\l__R}>{0}{ % Top and bottom: red in standard mode. \tl_set:Nn\l__cgt_hex_color_tl{red} \tl_if_eq:NnT\l__cgt_hex_boundary_tl{swapped}{\tl_set:Nn\l__cgt_hex_color_tl{blue}} \int_step_inline:nn{\l__C}{ \cgt_hex_draw_edge:nnnn{1}{##1}{NW}{\l__cgt_hex_color_tl} \cgt_hex_draw_edge:nnnn{1}{##1}{NE}{\l__cgt_hex_color_tl} \cgt_hex_draw_edge:nnnn{\int_use:N\l__R}{##1}{SW}{\l__cgt_hex_color_tl} \cgt_hex_draw_edge:nnnn{\int_use:N\l__R}{##1}{SE}{\l__cgt_hex_color_tl} } % Left and right include the exposed diagonal edges between rows. \tl_set:Nn\l__cgt_hex_color_tl{blue} \tl_if_eq:NnT\l__cgt_hex_boundary_tl{swapped}{\tl_set:Nn\l__cgt_hex_color_tl{red}} \int_step_inline:nn{\l__R}{ \cgt_hex_draw_edge:nnnn{##1}{1}{W}{\l__cgt_hex_color_tl} \cgt_hex_draw_edge:nnnn{##1}{\int_use:N\l__C}{E}{\l__cgt_hex_color_tl} \int_compare:nNnT{##1}<{\l__R}{\cgt_hex_draw_edge:nnnn{##1}{1}{SW}{\l__cgt_hex_color_tl}} \int_compare:nNnT{##1}>{1}{\cgt_hex_draw_edge:nnnn{##1}{\int_use:N\l__C}{NE}{\l__cgt_hex_color_tl}} } } }{\msg_error:nn{combgames-tikz}{hex-full-board}} } % Explicit edges are drawn last, allowing selected shortcut edges to be overridden. \clist_map_function:NN\l__cgt_hex_edges_clist\cgt_hex_explicit_edge:n } \NewDocumentCommand{\Hex}{O{.5cm} O{} m}{ \group_begin: \keys_set:nn{cgt/hex}{boundary=none,edges={},#2} \GridGame[#1]{HEX}{#3} \group_end: } \NewDocumentCommand{\HexColor}{O{.5cm} O{} m}{ \group_begin:\gridgamecolortrue\Hex[#1][#2]{#3}\group_end: } \ExplSyntaxOff % Piece aliases, scoped to each game's token table. \ExplSyntaxOn \clist_map_inline:nn {CLOB,ACLOB}{ \cgt@tokenalias{#1}{x}{X}\cgt@tokenalias{#1}{l}{X}\cgt@tokenalias{#1}{L}{X} \cgt@tokenalias{#1}{o}{O}\cgt@tokenalias{#1}{r}{O}\cgt@tokenalias{#1}{R}{O} } \clist_map_inline:nn {TDOM,TDOMC}{ \cgt@tokenalias{#1}{X}{x}\cgt@tokenalias{#1}{L}{x}\cgt@tokenalias{#1}{l}{x} \cgt@tokenalias{#1}{O}{o}\cgt@tokenalias{#1}{R}{o}\cgt@tokenalias{#1}{r}{o} \cgt@tokenalias{#1}{G}{g} } \clist_map_inline:nn {PUSH,SHOV,ASP,ASHV}{ \cgt@tokenalias{#1}{l}{L}\cgt@tokenalias{#1}{r}{R}\cgt@tokenalias{#1}{g}{G} } \clist_map_inline:nn {MAZE,MAIZ}{ \gridtoken{#1}{/}{\MazeBL\MazeTR} \gridtoken{#1}{|}{\MazeLT\MazeRB} \gridtoken{#1}{o}{} \cgt@tokenalias{#1}{x}{*} } \ExplSyntaxOff \cgt@tokenalias{CHM}{p}{P} \cgt@tokenalias{FNG}{F}{f}\cgt@tokenalias{FNG}{G}{g}\cgt@tokenalias{FNG}{O}{o} \cgt@tokenalias{HACK}{L}{B}\cgt@tokenalias{HACK}{l}{B} \cgt@tokenalias{HACK}{r}{R}\cgt@tokenalias{HACK}{b}{B}\cgt@tokenalias{HACK}{g}{G} \cgt@tokenalias{HEX}{*}{o}\cgt@tokenalias{HEX}{x}{X} \cgt@tokenalias{HEX}{l}{L}\cgt@tokenalias{HEX}{r}{R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % TOADS AND FROGS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % T/L: right-facing toad. F/R: left-facing frog. . or o: empty square. \newcommand{\cgt@toad}{% \begin{scope}[line join=round,line cap=round] \def\cgt@animalfill{black}\ifgridgamecolor\def\cgt@animalfill{blue}\fi \filldraw[fill=\cgt@animalfill] (.13,.24)..controls(.11,.42)and(.22,.56)..(.38,.57) ..controls(.47,.60)and(.54,.56)..(.60,.55) ..controls(.59,.69)and(.75,.70)..(.77,.57) ..controls(.83,.55)and(.88,.51)..(.88,.45) ..controls(.88,.39)and(.78,.38)..(.72,.38) --(.73,.24)--(.87,.20)--(.62,.20)--(.58,.31) ..controls(.47,.22)and(.27,.19)..(.13,.24)--cycle; \draw[white,line width=.45pt] (.22,.25) ..controls(.18,.42)and(.38,.48)..(.47,.37) --(.34,.24)--(.52,.24); \fill[white] (.697,.585) circle[radius=.022]; \end{scope}% } \newcommand{\cgt@frog}{% % Reflect a right-facing frog to face left. \begin{scope}[shift={(1,0)},xscale=-1,line join=round,line cap=round] \def\cgt@animalfill{white}\ifgridgamecolor\def\cgt@animalfill{red}\fi \filldraw[fill=\cgt@animalfill] (.12,.23)..controls(.10,.40)and(.22,.52)..(.36,.49) ..controls(.47,.47)and(.55,.52)..(.63,.56) ..controls(.62,.67)and(.75,.69)..(.78,.57) --(.91,.48)..controls(.90,.42)and(.79,.40)..(.72,.40) --(.68,.24)--(.88,.19)--(.59,.19)--(.57,.34) ..controls(.44,.28)and(.28,.20)..(.12,.23)--cycle; \draw (.18,.25)..controls(.16,.42)and(.31,.47)..(.41,.38) --(.27,.23)--(.50,.19); \fill (.716,.588) circle[radius=.023]; \end{scope}% } \gridtoken{TAF}{T}{\draw (0,0) rectangle (1,1);\cgt@toad} \gridtoken{TAF}{F}{\draw (0,0) rectangle (1,1);\cgt@frog} \gridtoken{TAF}{.}{\draw (0,0) rectangle (1,1);} \cgt@tokenalias{TAF}{t}{T}\cgt@tokenalias{TAF}{L}{T}\cgt@tokenalias{TAF}{l}{T} \cgt@tokenalias{TAF}{f}{F}\cgt@tokenalias{TAF}{R}{F}\cgt@tokenalias{TAF}{r}{F} \cgt@tokenalias{TAF}{o}{.} \NewDocumentCommand{\ToadsAndFrogs}{O{.6cm} m}{\GridGame[#1]{TAF}{#2}} \NewDocumentCommand{\ToadsAndFrogsColor}{O{.6cm} m}{% \begingroup\gridgamecolortrue\ToadsAndFrogs[#1]{#2}\endgroup} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % SKI JUMPS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % L/R are jumpers, l/r are slippers. L/l face left; R/r face right. % A skier is a compact sporting pictogram, rather than an animal-style face. \newcommand{\cgt@skier}[2]{% \draw (0,0) rectangle (1,1); \begin{scope}[line join=round,line cap=round] \def\cgt@skifill{white}\def\cgt@skiline{black} \ifnum#1=0 \begin{scope}[shift={(1,0)},xscale=-1] \def\cgt@skifill{black} \ifgridgamecolor\def\cgt@skifill{blue}\def\cgt@skiline{blue}\fi \else \begin{scope} \ifgridgamecolor\def\cgt@skifill{red}\def\cgt@skiline{red}\fi \fi \ifnum#2=1 % Airborne tuck: rising skis and a forward-leaning torso. \draw[draw=\cgt@skiline,line width=.6pt] (.12,.24)--(.82,.37)..controls(.88,.38)and(.89,.42)..(.89,.44); \draw[draw=\cgt@skiline,line width=.45pt] (.12,.16)--(.82,.29)..controls(.88,.30)and(.89,.34)..(.89,.36); \filldraw[fill=\cgt@skifill,draw=\cgt@skiline] (.38,.34)--(.49,.39)--(.33,.49)--(.39,.59)--(.65,.70) --(.70,.61)--(.47,.51)--(.59,.40)--(.45,.32)--cycle; \filldraw[fill=\cgt@skifill,draw=\cgt@skiline] (.74,.73) circle[radius=.072]; \draw[draw=\cgt@skiline,line width=.6pt] (.61,.60)--(.73,.53)--(.83,.57); \else % Grounded crouch and pole distinguish a slipper from a jumper. \draw[draw=\cgt@skiline,line width=.6pt] (.12,.18)--(.80,.18)..controls(.86,.18)and(.89,.21)..(.89,.25); \draw[draw=\cgt@skiline,line width=.45pt] (.12,.10)--(.80,.10)..controls(.86,.10)and(.89,.13)..(.89,.17); \filldraw[fill=\cgt@skifill,draw=\cgt@skiline] (.36,.20)--(.48,.36)--(.35,.47)--(.40,.58)--(.57,.70) --(.64,.62)--(.49,.49)--(.60,.36)--(.46,.20)--cycle; \filldraw[fill=\cgt@skifill,draw=\cgt@skiline] (.64,.78) circle[radius=.072]; \draw[draw=\cgt@skiline,line width=.6pt] (.55,.59)--(.70,.47)--(.78,.51); \draw[draw=\cgt@skiline,line width=.35pt] (.77,.54)--(.83,.18); \fi \end{scope} \end{scope}% } \gridtoken{SKI}{L}{\cgt@skier{0}{1}} \gridtoken{SKI}{R}{\cgt@skier{1}{1}} \gridtoken{SKI}{l}{\cgt@skier{0}{0}} \gridtoken{SKI}{r}{\cgt@skier{1}{0}} \gridtoken{SKI}{.}{\draw (0,0) rectangle (1,1);} \cgt@tokenalias{SKI}{o}{.} \NewDocumentCommand{\SkiJumps}{O{.6cm} m}{\GridGame[#1]{SKI}{#2}} \NewDocumentCommand{\SkiJumpsColor}{O{.6cm} m}{% \begingroup\gridgamecolortrue\SkiJumps[#1]{#2}\endgroup} % Consistent Color suffix for boards with an existing color mode. % Wrappers preserve the color setting outside the command. \NewDocumentCommand{\PushColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\Push[#1]{#2}\endgroup} \NewDocumentCommand{\ShoveColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\Shove[#1]{#2}\endgroup} \NewDocumentCommand{\AllSmallPushColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\AllSmallPush[#1]{#2}\endgroup} \NewDocumentCommand{\AllSmallShoveColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\AllSmallShove[#1]{#2}\endgroup} \NewDocumentCommand{\HackenbushStringColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\HackenbushString[#1]{#2}\endgroup} \NewDocumentCommand{\HackenbushstringColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\Hackenbushstring[#1]{#2}\endgroup} \NewDocumentCommand{\MinesweeperColor}{O{.5cm} m}{\begingroup\gridgamecolortrue\Minesweeper[#1]{#2}\endgroup} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % NAMED-POINT BOARDS: HARE AND HOUNDS, MORRIS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Optional arguments: [unit][labels=true]. Lists use the printed point names. \newif\ifcgt@pointlabels \pgfkeys{/cgt/points/.is family,/cgt/points, labels/.is if=cgt@pointlabels,labels/.default=true} \ExplSyntaxOn \clist_new:N \l__cgt_validpoints_clist \clist_new:N \l__cgt_occupiedpoints_clist \cs_new_protected:Npn \cgt@pointreset #1 { \clist_set:Nn \l__cgt_validpoints_clist {#1} \clist_clear:N \l__cgt_occupiedpoints_clist } \cs_new_protected:Npn \cgt@placepoints #1#2 { \clist_map_inline:nn {#1} { \clist_if_in:NnTF \l__cgt_validpoints_clist {##1} { \clist_if_in:NnTF \l__cgt_occupiedpoints_clist {##1} {\PackageError{combgames-tikz}{Point~##1~is~occupied~twice}{Use~each~point~only~once.}} {\clist_put_right:Nn \l__cgt_occupiedpoints_clist {##1} #2{##1}} }{\PackageError{combgames-tikz}{Unknown~board~point~##1}{Use~labels=true~to~see~the~valid~point~names.}} } } \ExplSyntaxOff \newcommand{\cgt@hound}[1]{% \begin{scope}[shift={(#1)},scale=.65,line join=round,line cap=round] \def\cgt@piececolor{black}\ifgridgamecolor\def\cgt@piececolor{blue}\fi % Far legs remain distinct from the near legs in the silhouette. \fill[\cgt@piececolor] (-.25,-.07)--(-.15,-.27)--(-.10,-.29) --(-.10,-.32)--(-.19,-.32)--(-.30,-.12)--cycle; \fill[\cgt@piececolor] (.10,-.07)--(.04,-.28)--(.08,-.30) --(.08,-.32)--(-.01,-.32)--(.02,-.08)--cycle; % Lean standing hound: arched loin, deep chest, narrow muzzle and legs. \filldraw[fill=\cgt@piececolor,line width=.3pt] (-.33,.04) ..controls(-.40,.10)and(-.44,.19)..(-.46,.22) ..controls(-.46,.12)and(-.43,.02)..(-.38,-.04) ..controls(-.35,-.11)and(-.37,-.18)..(-.40,-.27) --(-.44,-.31)..controls(-.45,-.34)and(-.37,-.34)..(-.35,-.32) --(-.27,-.17)--(-.23,-.10) ..controls(-.12,-.09)and(-.03,-.16)..(.09,-.13) --(.15,-.29)--(.13,-.32)--(.23,-.32) ..controls(.23,-.29)and(.20,-.29)..(.20,-.26) --(.19,-.07) ..controls(.25,-.02)and(.27,.07)..(.27,.13) --(.39,.14)..controls(.44,.15)and(.48,.18)..(.47,.20) --(.36,.24)..controls(.32,.25)and(.33,.31)..(.27,.32) ..controls(.20,.34)and(.16,.28)..(.14,.23) ..controls(.10,.15)and(.07,.09)..(.02,.08) ..controls(-.10,.10)and(-.24,.13)..(-.33,.04)--cycle; % A restrained ear contour; no oversized facial features. \draw[white,line width=.3pt] (.23,.27) ..controls(.17,.21)and(.18,.13)..(.22,.12); \fill[white] (.31,.242) circle[radius=.012]; \end{scope}} \newcommand{\cgt@hare}[1]{% \begin{scope}[shift={(#1)},scale=.65,line join=round,line cap=round] \def\cgt@piececolor{white}\ifgridgamecolor\def\cgt@piececolor{red}\fi % Seated rabbit, based on the photographic reference: a tapered muzzle and slimmer chest, % leaner back, close upright ears, and front paws visible beneath the body. \filldraw[fill=\cgt@piececolor,line width=.35pt] (-.394,.095) ..controls(-.401,.125)and(-.375,.164)..(-.350,.191) ..controls(-.316,.239)and(-.276,.278)..(-.222,.282) ..controls(-.249,.365)and(-.236,.446)..(-.190,.480) ..controls(-.154,.507)and(-.112,.487)..(-.116,.450) ..controls(-.124,.391)and(-.151,.331)..(-.160,.298) ..controls(-.122,.368)and(-.098,.440)..(-.059,.470) ..controls(-.027,.493)and(-.010,.461)..(-.018,.423) ..controls(-.023,.348)and(-.064,.279)..(-.103,.237) ..controls(-.107,.204)and(-.101,.171)..(-.079,.151) ..controls(0.0148,0.1747)and(0.114,0.195)..(0.2058,0.1521) ..controls(0.3075,0.1108)and(0.3542,0.0133)..(0.3411,-0.111) ..controls(0.3387,-0.165)and(0.3165,-0.206)..(0.2927,-0.238) ..controls(0.2583,-0.274)and(0.1837,-0.276)..(0.132,-0.273) --(0.0336,-0.289) ..controls(0.0066,-0.29)and(-0.011,-0.279)..(0.0098,-0.262) --(0.0713,-0.227) ..controls(0.009,-0.239)and(-0.072,-0.233)..(-0.098,-0.218) --(-0.12,-0.273) ..controls(-0.133,-0.296)and(-0.18,-0.299)..(-0.213,-0.287) --(-0.227,-0.267) ..controls(-0.249,-0.289)and(-0.304,-0.297)..(-0.325,-0.277) ..controls(-0.336,-0.262)and(-0.321,-0.244)..(-0.295,-0.232) ..controls(-0.288,-0.179)and(-0.303,-0.12)..(-0.291,-0.07) ..controls(-.285,-.042)and(-.280,-.024)..(-.306,-.011) ..controls(-.343,.002)and(-.379,.021)..(-.391,.050) ..controls(-.398,.066)and(-.398,.081)..(-.394,.095)--cycle; % A short cheek contour suggests the jaw without enclosing the head. \draw[line width=.23pt] (-.264,.010) ..controls(-.226,.016)and(-.190,.038)..(-.174,.063); % Two weight-bearing forelegs, with small, separate paws. \draw[line width=.23pt] (-0.218,-0.08) ..controls(-0.232,-0.139)and(-0.227,-0.215)..(-0.227,-0.267); \draw[line width=.22pt] (-0.142,-0.102) ..controls(-0.133,-0.155)and(-0.135,-0.215)..(-0.157,-0.258); \draw[line width=.18pt] (-0.292,-0.265)--(-0.29,-0.279) (-0.265,-0.26)--(-0.263,-0.281) (-0.179,-0.272)--(-0.176,-0.287); % Restrained hind-leg contour, following the slimmer body. \draw[line width=.22pt] (0.264,-0.185) ..controls(0.2845,-0.089)and(0.2222,-0.01)..(0.1697,-0.039); \draw[line width=.20pt] (0.1238,-0.115) ..controls(0.1123,-0.166)and(0.1419,-0.207)..(0.1771,-0.222); % Broad inner ears follow the reference; no black hare-ear tips. \draw[line width=.19pt] (-0.193,0.316) ..controls(-0.198,0.373)and(-0.178,0.445)..(-0.164,0.465); \draw[line width=.19pt] (-0.125,0.291) ..controls(-0.087,0.34)and(-0.071,0.409)..(-0.066,0.444); % High-contrast features sized to remain visible in a 1 cm board token. \fill[black] (-.275,.144) ..controls(-.264,.182)and(-.228,.199)..(-.202,.178) ..controls(-.186,.154)and(-.215,.126)..(-.255,.130) --cycle; \fill[white] (-.229,.172) circle[radius=.011]; % Small nose and short muzzle line; facial whiskers omitted at token size. \fill[black] (-.397,.109) ..controls(-.389,.115)and(-.380,.110)..(-.379,.103) --(-.391,.092)--cycle; \draw[black,line width=.22pt] (-.391,.092)--(-.385,.077)--(-.373,.071); \end{scope}} \NewDocumentCommand{\HareAndHounds}{O{1cm} O{} m m}{% \begingroup\cgt@pointlabelsfalse\pgfkeys{/cgt/points/.cd,#2}% \cgt@pointreset{a2,b1,b2,b3,c1,c2,c3,d1,d2,d3,e2}% \ensuremath{\mathord{\vcenter{\hbox{\begin{tikzpicture}[x=#1,y=#1] \foreach \n/\x/\y in {a2/0/1,b1/1/0,b2/1/1,b3/1/2,c1/2/0,c2/2/1,c3/2/2,d1/3/0,d2/3/1,d3/3/2,e2/4/1}{ \node[draw,circle,inner sep=0,minimum size=.72*#1] (\n) at (\x,\y) {}; } \draw (a2)--(b1)--(b2)--(b3)--(a2)--(b2)--(c2)--(c1)--(b1)--(c2)--(b3)--(c3)--(c2)--(d3)--(d2)--(c2)--(d1)--(d2)--(e2)--(d3); \draw (c3)--(d3) (c1)--(d1)--(e2); \ifcgt@pointlabels \foreach \n in {a2,b1,b2,b3,c1,c2,c3,d1,d2,d3,e2} \node[font=\scriptsize,fill=white,inner sep=1pt,above] at ([yshift=.38*#1]\n.center) {\n}; \fi \cgt@placepoints{#3}{\cgt@hound}\cgt@placepoints{#4}{\cgt@hare} \end{tikzpicture}}}}}\endgroup} \NewDocumentCommand{\HareAndHoundsColor}{O{1cm} O{} m m}{% \begingroup\gridgamecolortrue\HareAndHounds[#1][#2]{#3}{#4}\endgroup} % Morris coordinates are a1--g7, with a1 at the bottom left. \newcommand{\cgt@morrisleft}[1]{% \def\cgt@piececolor{black}\ifgridgamecolor\def\cgt@piececolor{blue}\fi \shade[ball color=\cgt@piececolor] (#1) circle[radius=.19];} \newcommand{\cgt@morrisright}[1]{% \def\cgt@piececolor{white}\ifgridgamecolor\def\cgt@piececolor{red}\fi \shade[ball color=\cgt@piececolor] (#1) circle[radius=.19];} \NewDocumentCommand{\NineMensMorris}{O{.65cm} O{} m m}{% \begingroup\cgt@pointlabelsfalse\pgfkeys{/cgt/points/.cd,#2}% \cgt@pointreset{a1,d1,g1,b2,d2,f2,c3,d3,e3,a4,b4,c4,e4,f4,g4,c5,d5,e5,b6,d6,f6,a7,d7,g7}% \ensuremath{\mathord{\vcenter{\hbox{\begin{tikzpicture}[x=#1,y=#1] \draw (0,0) rectangle (6,6) (1,1) rectangle (5,5) (2,2) rectangle (4,4); \draw (3,0)--(3,2) (0,3)--(2,3) (6,3)--(4,3) (3,6)--(3,4); \foreach \n/\x/\y in {a1/0/0,d1/3/0,g1/6/0,b2/1/1,d2/3/1,f2/5/1,c3/2/2,d3/3/2,e3/4/2,a4/0/3,b4/1/3,c4/2/3,e4/4/3,f4/5/3,g4/6/3,c5/2/4,d5/3/4,e5/4/4,b6/1/5,d6/3/5,f6/5/5,a7/0/6,d7/3/6,g7/6/6}{ \coordinate (\n) at (\x,\y);\fill (\n) circle[radius=.065]; \ifcgt@pointlabels\node[font=\scriptsize,above right,inner sep=2pt] at (\x,{\y+.14}) {\n};\fi } \cgt@placepoints{#3}{\cgt@morrisleft}\cgt@placepoints{#4}{\cgt@morrisright} \end{tikzpicture}}}}}\endgroup} \NewDocumentCommand{\NineMensMorrisColor}{O{.65cm} O{} m m}{% \begingroup\gridgamecolortrue\NineMensMorris[#1][#2]{#3}{#4}\endgroup} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % PHUTBALL: INTERSECTIONS AND ANNOTATED JUMP PATHS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % [unit][columns=15,rows=19,move={x/y,...},numbered=true,move color=...] % Mandatory arguments: black stones {x/y,...}, white ball {x/y} (or {}). % Coordinates start at 1/1 in the bottom left. The move includes its start. % Move coordinates may lie outside the grid, to illustrate a winning jump. \newif\ifcgt@numbered \pgfkeys{/cgt/phut/.is family,/cgt/phut, columns/.store in=\cgt@phutcols,rows/.store in=\cgt@phutrows, move/.store in=\cgt@phutmove,move color/.store in=\cgt@movecolor, numbered/.is if=cgt@numbered,numbered/.default=true, labels/.is if=cgt@pointlabels,labels/.default=true} \ExplSyntaxOn \seq_new:N \l__cgt_xy_seq \clist_new:N \l__cgt_phutoccupied_clist \cs_new_protected:Npn \cgt@phutreset {\clist_clear:N \l__cgt_phutoccupied_clist} \cs_new_protected:Npn \cgt@phutballcount #1 { \int_compare:nNnT {\clist_count:n{#1}}>{1}{ \PackageError{combgames-tikz}{Phutball~has~more~than~one~white~ball}{Supply~one~coordinate~or~an~empty~argument.} } } \cs_new_protected:Npn \cgt@xy #1 { \regex_match:nnTF {\A\s*-?\d+\s*/\s*-?\d+\s*\Z} {#1} { \seq_set_split:Nnn \l__cgt_xy_seq {/}{#1} \edef\cgt@x{\int_eval:n{\seq_item:Nn\l__cgt_xy_seq{1}}} \edef\cgt@y{\int_eval:n{\seq_item:Nn\l__cgt_xy_seq{2}}} }{\PackageError{combgames-tikz}{Invalid~coordinate~#1}{Use~integer~pairs~such~as~11/6.}\def\cgt@x{1}\def\cgt@y{1}} } \cs_new_protected:Npn \cgt@phutstones #1#2 { \clist_map_inline:nn {#1}{ \cgt@xy{##1} \bool_if:nTF { \int_compare_p:n{1<=\cgt@x<=\cgt@phutcols} && \int_compare_p:n{1<=\cgt@y<=\cgt@phutrows} }{ \tl_set:Nx \l_tmpa_tl {\cgt@x/\cgt@y} \exp_args:NNV \clist_if_in:NnTF \l__cgt_phutoccupied_clist \l_tmpa_tl {\PackageError{combgames-tikz}{Phutball~point~##1~is~occupied~twice}{Use~each~point~only~once.}} {\clist_put_right:NV \l__cgt_phutoccupied_clist \l_tmpa_tl \filldraw[fill=#2] (\cgt@x,\cgt@y) circle[radius=.24];} } {\PackageError{combgames-tikz}{Stone~##1~is~outside~the~Phutball~board}{Increase~rows/columns~or~correct~the~coordinate.}} } } \cs_new_protected:Npn \cgt@phutpath #1 { \int_zero:N \l_tmpa_int \clist_map_inline:nn {#1}{ \cgt@xy{##1} \int_incr:N \l_tmpa_int \int_compare:nNnT {\l_tmpa_int}>{1}{ \draw[draw=\cgt@movecolor,line~width=.35pt,densely~dashed] (\cgt@prevx,\cgt@prevy)--(\cgt@x,\cgt@y); } \edef\cgt@prevx{\cgt@x}\edef\cgt@prevy{\cgt@y} } % Draw labels last, so later segments never run across earlier labels. \ifcgt@numbered \int_zero:N \l_tmpa_int \clist_map_inline:nn {#1}{ \cgt@xy{##1}\int_incr:N \l_tmpa_int \int_compare:nNnT {\l_tmpa_int}>{1}{ \node[circle,draw=\cgt@movecolor,line~width=.3pt,font=\tiny, fill=white,text=\cgt@movecolor,inner~sep=.6pt] at (\cgt@x,\cgt@y) {\int_eval:n{\l_tmpa_int-1}}; } } \fi } \cs_new_protected:Npn \cgt@phutdimensions { \regex_match:neTF {\A[1-9]\d*\Z}{\cgt@phutcols}{}{ \PackageError{combgames-tikz}{Invalid~Phutball~columns}{Use~a~positive~integer.}\def\cgt@phutcols{15}} \regex_match:neTF {\A[1-9]\d*\Z}{\cgt@phutrows}{}{ \PackageError{combgames-tikz}{Invalid~Phutball~rows}{Use~a~positive~integer.}\def\cgt@phutrows{19}} } \cs_generate_variant:Nn \regex_match:nnTF {ne} \ExplSyntaxOff \NewDocumentCommand{\Phutball}{O{.35cm} O{} m m}{% \begingroup \def\cgt@phutcols{15}\def\cgt@phutrows{19}\def\cgt@phutmove{}% \def\cgt@movecolor{black}\ifgridgamecolor\def\cgt@movecolor{red}\fi \cgt@numberedtrue\cgt@pointlabelsfalse \pgfkeys{/cgt/phut/.cd,#2}\cgt@phutdimensions\cgt@phutreset\cgt@phutballcount{#4} \ensuremath{\mathord{\vcenter{\hbox{\begin{tikzpicture}[x=#1,y=#1] \draw[gray!65,step=1] (1,1) grid (\cgt@phutcols,\cgt@phutrows); \ifcgt@pointlabels \foreach \x in {1,...,\cgt@phutcols}\node[font=\tiny,below] at (\x,.7) {\x}; \foreach \y in {1,...,\cgt@phutrows}\node[font=\tiny,left] at (.7,\y) {\y}; \fi % Draw the route first; opaque stones cover it without any erasing halo. \expandafter\cgt@phutpath\expandafter{\cgt@phutmove} \cgt@phutstones{#3}{black}\cgt@phutstones{#4}{white} \end{tikzpicture}}}}}\endgroup} \NewDocumentCommand{\PhutballColor}{O{.35cm} O{} m m}{% \begingroup\gridgamecolortrue\Phutball[#1][#2]{#3}{#4}\endgroup}