% % polyhedra.sty
% % polyhedra LaTeX package
% % Copyright 2015-2023 Zafeirakis Zafeirakopoulos
% % zafeirakopoulos@gmail.com
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
% https://www.latex-project.org/lppl.txt
% and version 1.3c or later is part of all distributions of LaTeX
% version 2008 or later.
% This work has the LPPL maintenance status `maintained'.
% The Current Maintainer of this work is Zafeirakis Zafeirakopoulos.
% This work consists of the files polyhedra.sty and polyhedra-doc.tex.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Identification %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{polyhedra}[2023/10/31 v.0.3 Polyhedra LaTeX package]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Required Packages %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\RequirePackage{xcolor,xcolor-solarized}
\RequirePackage{tikz,tikz-3dplot}
\RequirePackage{xparse,xstring}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Tikz setup %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usetikzlibrary{shapes}
\usetikzlibrary{patterns}
\usetikzlibrary{arrows}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Package Options %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\DeclareOption*{\PackageWarning{Polyhedra}{Unknown â€˜\CurrentOptionâ€™}}
\ProcessOptions\relax
% \PackageWarningNoLine{Polyhedra}{Solarized Color Scheme used}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Default Options %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Default Sizes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\PolyhedraDefaultHeight}{0.5\textheight}
\newcommand{\PolyhedraDefaultWidth}{0.5\textwidth}
\newcommand{\PolyhedraDefaultScale}{0.6}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Default Colors %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\VertexColor}{solarized-blue}
\newcommand{\VertexTextColor}{black}
\newcommand{\EdgeColor}{solarized-blue}
\newcommand{\RayColor}{solarized-cyan}
\newcommand{\PolygonColor}{solarized-blue}
\newcommand{\HalfspaceColor}{gray}
\newcommand{\AlertColor}{solarized-red}
\newcommand{\FocusColor}{solarized-green}
\newcommand{\intersectionColor}{solarized-base2}
\newcommand{\OpenColor}{solarized-base2}
\newcommand{\ShadeColor}{gray}
\newcommand{\OpenPolygonPattern}{north east lines}
\newcommand{\OpenHyperplanePattern}{north west lines}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Default Thickness %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\VertexThickness}{2}
\newcommand{\RayThickness}{1}
\newcommand{\EdgeThickness}{1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Graphics Commands %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Environments %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\define@key{polyhedron}{dim}{\def\mm@dim{#1}}
\define@key{polyhedron}{phi}{\def\mm@phi{#1}}
\define@key{polyhedron}{theta}{\def\mm@theta{#1}}
\DeclareDocumentEnvironment{polyhedron}{m}
{
\setkeys{polyhedron}{
dim={2},
phi={0},
theta={0},
,#1 } %
\ifthenelse{\equal{\mm@dim}{3}}
{
\tdplotsetmaincoords{\mm@phi}{\mm@theta}
\begin{tikzpicture}[scale=\PolyhedraDefaultScale,tdplot_main_coords]
}{
\begin{tikzpicture}[scale=\PolyhedraDefaultScale]
}
}
{
\end{tikzpicture}
}
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%% Macros %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\splicelist#1{
\StrCount{#1}{,}[\numofelem]
\ifnum\numofelem>0\relax
\StrBefore[1]{#1}{,}[\myhead]%
\StrBehind[\numofelem]{#1}{,}[\mylast]%
\else
\let\myhead#1%
\let\mylast#1%
\fi
}
\newcommand{\point}[2]{
\coordinate (#2) at #1;
}
\makeatletter
\define@key{vertex}{color}{\def\mm@color{#1}}
\define@key{vertex}{status}{\def\mm@status{#1}}
\define@key{vertex}{opacity}{\def\mm@opacity{#1}}
\define@key{vertex}{thickness}{\def\mm@thickness{#1}}
\define@key{vertex}{pattern}{\def\mm@pattern{#1}}
\define@key{vertex}{point}{\def\mm@point{#1}}
\define@key{vertex}{text}{\def\mm@text{#1}}
\define@key{vertex}{textcolor}{\def\mm@textcolor{#1}}
\define@key{vertex}{anchora}{\def\mm@anchora{#1}}
\define@key{vertex}{anchorb}{\def\mm@anchorb{#1}}
\DeclareDocumentCommand{\vertex}{m}{%
\begingroup%
\setkeys{vertex}{
color=\VertexColor,
opacity={1},
thickness=\VertexThickness,
point={(0,0)},
status={normal},
pattern={},
text={},
anchora={north},
anchorb={above}
,#1 } %
\ifthenelse{\equal{\mm@status}{normal}}{\def\fillcolor{\mm@color}}{
\ifthenelse{\equal{\mm@status}{intesection}}{\def\fillcolor{\IntersectionColor}}
{
\ifthenelse{\equal{\mm@status}{alert}}{\def\fillcolor{\AlertColor}}{
\ifthenelse{\equal{\mm@status}{focus}}{\def\fillcolor{\FocusColor}}{
\ifthenelse{\equal{\mm@status}{open}}{\def\fillcolor{\OpenColor}}{
\def\fillcolor{\mm@color}
}}}}}
\StrLeft{\mm@point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\mm@point}}{\def\thepoint{(
\mm@point)}}
\ifthenelse{\equal{\mm@text}{}}{\def\thelabel{}}
{\def\thelabel{label={[anchor=\mm@anchora]\mm@anchorb: \mm@text}}}
\xdef\drawcom{
node[draw,circle,
color=\mm@color,
inner sep=\mm@thickness pt,
fill=\fillcolor,
pattern=\mm@pattern,
pattern color=\mm@color,
opacity=\mm@opacity,
\thelabel
]
at \thepoint {} ;
}
\draw \drawcom
\endgroup%
}
\define@key{ray}{color}{\def\mm@color{#1}}
\define@key{ray}{opacity}{\def\mm@opacity{#1}}
\define@key{ray}{thickness}{\def\mm@thickness{#1}}
\define@key{ray}{status}{\def\mm@status{#1}}
\define@key{ray}{pattern}{\def\mm@pattern{#1}}
\define@key{ray}{points}{\def\mm@points{#1}}
\DeclareDocumentCommand{\ray}{m}{%
\begingroup%
\setkeys{ray}{
color=\RayColor,
opacity={1},
thickness=\RayThickness,
points={(0,0)},
status={normal},
pattern={},
,#1 } %
\xdef\raypattern{\mm@pattern}
\ifthenelse{\equal{\mm@status}{normal}}{\xdef\rcolor{\mm@color}}{
\ifthenelse{\equal{\mm@status}{intesection}}{\xdef\rcolor{\IntersectionColor}
}
{
\ifthenelse{\equal{\mm@status}{alert}}{\xdef\rcolor{\AlertColor}}{
\ifthenelse{\equal{\mm@status}{open}}{\xdef\raypattern{dashed}\xdef\rcolor{
\mm@color}}{
\ifthenelse{\equal{\mm@status}{focus}}{\xdef\rcolor{\FocusColor}}{
\xdef\rcolor{\mm@color}
}}}}}
\gdef\drawcom{
[->, color=\rcolor,
line width=\mm@thickness,
opacity=\mm@opacity,
\raypattern]
}
\foreach \point [count=\xi] in \mm@points{
\StrLeft{\point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\point}}{\def\thepoint{(
\point)}}
\ifnum\xi=1
\xdef\drawcom{\drawcom \thepoint}
\else
\xdef\drawcom{\drawcom -- \thepoint}
\fi
}
\xdef\drawcom{\drawcom ;}
\draw \drawcom
\endgroup%
}
\define@key{edge}{color}{\def\mm@color{#1}}
\define@key{edge}{opacity}{\def\mm@opacity{#1}}
\define@key{edge}{thickness}{\def\mm@thickness{#1}}
\define@key{edge}{status}{\def\mm@status{#1}}
\define@key{edge}{pattern}{\def\mm@pattern{#1}}
\define@key{edge}{points}{\def\mm@points{#1}}
\DeclareDocumentCommand{\edge}{m}{%
\begingroup%
\setkeys{edge}{
color=\EdgeColor,
opacity={1},
thickness=\EdgeThickness,
points={(0,0)},
status={normal},
pattern={},
,#1 } %
\xdef\edgepattern{\mm@pattern}
\ifthenelse{\equal{\mm@status}{normal}}{\xdef\rcolor{\mm@color}}{
\ifthenelse{\equal{\mm@status}{intesection}}{\xdef\rcolor{\IntersectionColor}
}
{
\ifthenelse{\equal{\mm@status}{alert}}{\xdef\rcolor{\AlertColor}}{
\ifthenelse{\equal{\mm@status}{open}}{\xdef\edgepattern{dashed}\xdef\rcolor{
\mm@color}}{
\ifthenelse{\equal{\mm@status}{focus}}{\xdef\rcolor{\FocusColor}}{
\xdef\rcolor{\mm@color}
}}}}}
\gdef\drawcom{
[color=\rcolor,
line width=\mm@thickness,
opacity=\mm@opacity,
\edgepattern]
}
\foreach \point [count=\xi] in \mm@points{
\StrLeft{\point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\point}}{\def\thepoint{(
\point)}}
\ifnum\xi=1
\xdef\drawcom{\drawcom \thepoint}
\else
\xdef\drawcom{\drawcom -- \thepoint}
\fi
}
\xdef\drawcom{\drawcom ;}
\draw \drawcom
\endgroup%
}
\define@key{polygon}{color}{\def\mm@color{#1}}
\define@key{polygon}{status}{\def\mm@status{#1}}
\define@key{polygon}{pattern}{\def\mm@pattern{#1}}
\define@key{polygon}{opacity}{\def\mm@opacity{#1}}
\define@key{polygon}{thickness}{\def\mm@thickness{#1}}
\define@key{polygon}{points}{\def\mm@points{#1}}
\define@key{polygon}{boundary}{\def\mm@boundary{#1}}
\DeclareDocumentCommand{\polygon}{m}{%
\begingroup%
\setkeys{polygon}{color=\PolygonColor,opacity={1},thickness={1},
points={(0,0)},status={normal},pattern={},boundary={true},#1 } %
\xdef\polygonpattern{\mm@pattern}
\ifthenelse{\equal{\mm@status}{normal}}{\xdef\rcolor{\mm@color}}{
\ifthenelse{\equal{\mm@status}{intesection}}{\xdef\rcolor{\IntersectionColor}
}
{
\ifthenelse{\equal{\mm@status}{alert}}{\xdef\rcolor{\AlertColor}}{
\ifthenelse{\equal{\mm@status}{open}}{\xdef\polygonpattern{\OpenPolygonPattern}
\xdef\rcolor {
\mm@color}}{
\ifthenelse{\equal{\mm@status}{focus}}{\xdef\rcolor{\FocusColor}}{
\xdef\rcolor{\mm@color}
}}}}}
\ifthenelse{\equal{\mm@boundary}{true}}
{\def\bounddraw{draw=\rcolor}}
{\def\bounddraw{draw=none}}
\gdef\drawcom{
[\bounddraw,
line width=\mm@thickness,
fill=\rcolor,
opacity=\mm@opacity,
pattern=\polygonpattern,
pattern color=\rcolor
]
}
\foreach \point [count=\xi] in \mm@points{
\StrLeft{\point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\point}}{\def\thepoint{(
\point)}}
\ifnum\xi=1
\xdef\drawcom{\drawcom \thepoint}
\else
\xdef\drawcom{\drawcom -- \thepoint}
\fi
}
\xdef\drawcom{\drawcom -- cycle ;}
\draw \drawcom
\endgroup%
}
\define@key{halfspace}{color}{\def\mm@color{#1}}
\define@key{halfspace}{opacity}{\def\mm@opacity{#1}}
\define@key{halfspace}{thickness}{\def\mm@thickness{#1}}
\define@key{halfspace}{points}{\def\mm@points{#1}}
\define@key{halfspace}{status}{\def\mm@status{#1}}
\define@key{halfspace}{pattern}{\def\mm@pattern{#1}}
\define@key{halfspace}{patterncolor}{\def\mm@patterncolor{#1}}
\DeclareDocumentCommand{\halfspace}{m}{%
\begingroup%
\setkeys{halfspace}{color=blue,opacity={0.7},thickness={1},
points={(0,0)},status={normal},pattern={north west
lines},patterncolor={\HalfspaceColor}
,#1 } %
\gdef\drawcom{
[draw=none,color=\mm@color,
line width=\mm@thickness,
fill=\mm@color,
opacity=\mm@opacity,
pattern=\mm@pattern,
pattern color=\mm@patterncolor
]
}
\foreach \point [count=\xi] in \mm@points{
\StrLeft{\point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\point}}{\def\thepoint{(
\point)}}
\ifnum\xi=1
\xdef\drawcom{\drawcom \thepoint}
\else
\xdef\drawcom{\drawcom -- \thepoint}
\fi
}
\xdef\drawcom{\drawcom -- cycle ;}
\draw \drawcom
\endgroup%
}
\define@key{cone}{color}{\def\mm@color{#1}}
\define@key{cone}{opacity}{\def\mm@opacity{#1}}
\define@key{cone}{thickness}{\def\mm@thickness{#1}}
\define@key{cone}{status}{\def\mm@status{#1}}
\define@key{cone}{pattern}{\def\mm@pattern{#1}}
\define@key{cone}{generators}{\def\mm@generators{#1}}
\define@key{cone}{vertex}{\def\mm@vertex{#1}}
\DeclareDocumentCommand{\cone}{m}{%
\begingroup%
\setkeys{cone}{color=solarized-blue,opacity={1},thickness={1},
vertex={(0,0)},generators={(0,0)},status={normal},pattern={north west
lines},#1 } %
\ifthenelse{\equal{\mm@status}{normal}}{\xdef\rcolor{\mm@color}}{
\ifthenelse{\equal{\mm@status}{intesection}}{\xdef\rcolor{\IntersectionColor}
}
{
\ifthenelse{\equal{\mm@status}{alert}}{\xdef\rcolor{\AlertColor}}{
\ifthenelse{\equal{\mm@status}{focus}}{\xdef\rcolor{\FocusColor}}{
\xdef\rcolor{\mm@color}
}}}}
\gdef\drawcom{
[->,color=\rcolor,
line width=\mm@thickness,
fill=\rcolor,
opacity=\mm@opacity]
}
\StrLeft{\mm@vertex}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}
{\def\thevertex{\mm@vertex}}
{\def\thevertex{(\mm@vertex)}}
\gdef\previouspoint{\thevertex}
\foreach \point in \mm@generators{
\StrLeft{\point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\point}}{\def\thepoint{(
\point)}}
\node (xxxxO) at \thevertex {}; % Possible to add generator labels
\node (xxxxA) at \thepoint {}; % Possible to add generator labels
\coordinate (xxxxB) at ($(xxxxO)!1.5!(xxxxA)$);
\draw [dashed,color=\rcolor] \thevertex -- (xxxxB) ;
\draw \drawcom \thevertex -- (xxxxA) ;
\ifthenelse{\equal{\previouspoint}{\thevertex}}{}
{
\node (xxxxC) at \previouspoint {}; % Possible to add generator labels
\draw [draw=none,pattern color=\rcolor,pattern=\mm@pattern,opacity=0.6]
\thevertex -- ($(xxxxO)!1.3!(xxxxC)$) --
($(xxxxO)!1.3!(xxxxA)$) ; }
\xdef\previouspoint{\thepoint}
}
\endgroup%
}
\define@key{axes}{x}{\def\mm@x{#1}}
\define@key{axes}{y}{\def\mm@y{#1}}
\define@key{axes}{z}{\def\mm@z{#1}}
\define@key{axes}{xlabel}{\def\mm@xlabel{#1}}
\define@key{axes}{ylabel}{\def\mm@ylabel{#1}}
\define@key{axes}{zlabel}{\def\mm@zlabel{#1}}
\define@key{axes}{labels}{\def\mm@labels{#1}}
\DeclareDocumentCommand{\axes}{m}{%
\begingroup%
\setkeys{axes}{x={0,1},y={0,1},z={},xlabel={x},ylabel={y},zlabel={z},labels={
true} , #1 } %
\splicelist{\mm@x}
\ifthenelse{\equal{\mm@z}{}}{
\coordinate (Origin) at (0,0);
\splicelist{\mm@x}
\coordinate (XAxisMin) at (-\myhead,0);
\coordinate (XAxisMax) at (\mylast,0);
\coordinate (XLabel) at (\mylast +0.3,0,0);
\splicelist{\mm@y}
\coordinate (YAxisMin) at (0,-\myhead);
\coordinate (YAxisMax) at (0,\mylast);
\coordinate (YLabel) at (0,\mylast +0.3,0);
\draw [thin, gray,-latex] (XAxisMin) -- (XAxisMax) ;% Draw x axis
\draw [thin, gray,-latex] (YAxisMin) -- (YAxisMax);% Draw y axis
\ifthenelse{\equal{\mm@labels}{no}}{}{
\node at (XLabel) {\mm@xlabel};
\node at (YLabel) {\mm@ylabel};
}
}{
\coordinate (Origin) at (0,0);
\splicelist{\mm@x}
\coordinate (XAxisMin) at (-\myhead,0);
\coordinate (XAxisMax) at (\mylast,0);
\coordinate (XLabel) at (\mylast +0.3,0,0);
\splicelist{\mm@y}
\coordinate (YAxisMin) at (0,-\myhead);
\coordinate (YAxisMax) at (0,\mylast);
\coordinate (YLabel) at (0,\mylast +0.3,0);
\splicelist{\mm@z}
\coordinate (ZAxisMin) at (0,0,-\myhead);
\coordinate (ZAxisMax) at (0,0,\mylast);
\coordinate (ZLabel) at (0,0,\mylast +0.3);
\draw [thin, gray,-latex] (XAxisMin) -- (XAxisMax) ;% Draw x axis
\draw [thin, gray,-latex] (YAxisMin) -- (YAxisMax);% Draw y axis
\draw [thin, gray,-latex] (ZAxisMin) -- (ZAxisMax);% Draw z axis
\ifthenelse{\equal{\mm@labels}{no}}{}{
\node at (XLabel) {\mm@xlabel};
\node at (YLabel) {\mm@ylabel};
\node at (ZLabel) {\mm@zlabel};
}
}
\endgroup%
}
\define@key{hyperplane}{color}{\def\mm@color{#1}}
\define@key{hyperplane}{fill}{\def\mm@fill{#1}}
\define@key{hyperplane}{opacity}{\def\mm@opacity{#1}}
\define@key{hyperplane}{thickness}{\def\mm@thickness{#1}}
\define@key{hyperplane}{points}{\def\mm@points{#1}}
\define@key{hyperplane}{status}{\def\mm@status{#1}}
\define@key{hyperplane}{pattern}{\def\mm@pattern{#1}}
\define@key{hyperplane}{patterncolor}{\def\mm@patterncolor{#1}}
\DeclareDocumentCommand{\hyperplane}{m}{%
\begingroup%
\setkeys{hyperplane}{color=blue,fill=orange,opacity={0.7},thickness={1},
points={(0,0)},status={normal},pattern={north west
lines},patterncolor={\HalfspaceColor}
,#1 } %
\gdef\drawcom{
[draw=none,color=\mm@color,
line width=\mm@thickness,
fill=\mm@fill,
opacity=\mm@opacity,
pattern=\mm@pattern,
pattern color=\mm@patterncolor
]
}
\foreach \point [count=\xi] in \mm@points{
\StrLeft{\point}{1}[\firstletter]
\ifthenelse{\equal{\firstletter}{(}}{\def\thepoint{\point}}{\def\thepoint{(
\point)}}
\ifnum\xi=1
\xdef\drawcom{\drawcom \thepoint}
\else
\xdef\drawcom{\drawcom -- \thepoint}
\fi
}
\xdef\drawcom{\drawcom -- cycle ;}
\draw \drawcom
\endgroup%
}
\makeatother