I would like to modify Mark Wibrow's triangular fraction diagrams so that black segments are drawn, rather than leaving a blank white space between the triangles. As I do not understand how the code works, I thought I would reach out to the community for help:
\documentclass[tikz, border=5]{standalone}
\newcount\tikzfractiondenominator
\newcount\tikzfractionnumerator
\def\tikzfractionempty{}
\let\tikzfractionstyle=\tikzfractionempty
\newif\iftikzfractionfill
\tikzset{pics/.cd,
fraction/.style={%
code={%
\tikzset{pics/fraction/.cd, #1}%
\pgfmathparse{int(ceil(\tikzfractionnumerator/\tikzfractiondenominator))}%
\let\tikzfractionshapetotal=\pgfmathresult
\ifx\tikzfractionstyle\tikzfractionempty
\else%
\pgfmathloop
\ifnum\tikzfractionnumerator<1
\else
\pgfmathsetmacro\tikzfractionproper{int(\tikzfractionnumerator?\tikzfractionnumerator:\tikzfractiondenominator)}%
\foreach \tikzfractionsegmentnumber in {1,...,\tikzfractiondenominator}{%
\ifnum\tikzfractionsegmentnumber>\tikzfractionproper\relax%
\tikzfractionfillfalse%
\else%
\tikzfractionfilltrue%
\fi%
\let\tikzfractionshapenumber=\pgfmathcounter%
\begin{scope}
\tikzset{pics/fraction/\tikzfractionstyle/shape position/.try}%
\tikzset{pics/fraction/\tikzfractionstyle/segment position/.try}%
\tikzset{pics/fraction/\tikzfractionstyle/segment draw/.try}%
\end{scope}
}%
\advance\tikzfractionnumerator by-\tikzfractiondenominator%
\repeatpgfmathloop%
\fi%
}
},
fraction/.cd,
style/.store in=\tikzfractionstyle,
numerator/.code=\pgfmathsetcount\tikzfractionnumerator{#1},
denominator/.code=\pgfmathsetcount\tikzfractiondenominator{#1},
fraction/.style args={#1/#2}{%
/tikz/pics/fraction/.cd,
numerator={#1}, denominator={#2}
}
}
\tikzset{%
/tikz/pics/fraction/triangles/.cd,
shape position/.code={
\pgfmathsetmacro\y{sqrt(\tikzfractiondenominator)}
\tikzset{
shift=(0:{(\tikzfractionshapenumber-1)*\y}),
shift={(0,\y/4)},
}
},
segment position/.code={
\let\i=\tikzfractionsegmentnumber
\pgfmathsetmacro\z{int(sqrt(\i-1))}
\pgfmathsetmacro\q{\i-(\z)^2}
\tikzset{
shift={({sin(60) * (\q-\z) / 2}, {-\z*0.75 -mod(\q,2)*cos(60)/2})},
rotate={mod(\q-1,2)*180}
}
},
segment draw/.code={
\iftikzfractionfill
\tikzset{triangle fill/.style={blue!50!cyan!50}}
\else
\tikzset{triangle fill/.style={gray!20}}
\fi
\fill [triangle fill] (90:0.45) -- (210:0.45) -- (330:0.45) -- cycle;
}
}
\begin{document}
\begin{tikzpicture}
\foreach \numerator/\denominator [count=\y] in {1/1, 2/4, 13/9}{
\tikzset{shift=(270:\y*2)}
\pic {fraction={style=triangles, fraction={\numerator/\denominator}}};
\node at (-1,0) {$\frac{\numerator}{\denominator}$};
}
\end{tikzpicture}
\end{document}
Here is a solution that draws nice-looking triangle fraction diagrams similar to what I am looking for, but I am hoping for a solution that allows me to continue using Mark Wibrow's simple \begin{tikzpicture}\pic{fraction={style=triangles, fraction={2/4}}};\end{tikzpicture} macro. Thank you in advance!
