14

The 15th monohedral convex pentagonal type, discovered in 2015.
I draw the main block of this pentagonal tiling, but I can't copy this block with "For".

\documentclass{report}
\usepackage{geometry}
\geometry{paperwidth=40cm,paperheight=25cm,margin=1cm}
\usepackage{tikz}
\usetikzlibrary{calc}
\tikzset{c/.style={every coordinate/.try}}
\tikzset{d/.style={every coordinate/.try}}
\usetikzlibrary{plotmarks}
\definecolor{green1}{cmyk}{1,0,.6,0}
\definecolor{leafgreen}{cmyk}{1, 0, 0.8, 0} 
\definecolor{black}{cmyk}{0,0,0,1}
\begin{document}
\color{black}
\begin{tikzpicture}[line width=10pt, scale=1]
    \draw (0,0) coordinate (A) node {A};
    \draw (2.5,0) coordinate (E)  node {E};
    \draw ($ (A)!2.5cm!90:(E) $) coordinate (B) node {B};
    \draw ($ (B)! 4.829625cm!105: (A) $) coordinate (C) node{C};
    \draw ($ (C)! 2.5cm!135: (B) $) coordinate(D) node {D}; 
    \draw ($ (C)!2.5cm!90:(D) $) coordinate(F)  node {F};
    \draw ($ (F)! 4.829625cm!105: (C) $) coordinate(G)  node {G};   
    \draw ($ (G)! 2.5cm!135: (F) $) coordinate(H)  node {H};
    \draw ($ (F)!5cm!300:(C) $) coordinate(I)  node {I};
    \draw ($ (I)!2.5cm!-150:(F) $) coordinate(J) node {J};
    \draw ($ (E)!2.5cm!0: (D) $) coordinate (X) node {X};
\begin{scope}
\begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope} 
\begin{scope}[every coordinate/.style={shift={($(X)-(J)$)}}]
 \begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope}
\end{tikzpicture}
\end{document}

enter image description here

hosein
  • 575
  • 5
  • 12

2 Answers2

18

I'm not sure what you are seeking in the end, but on this, the penultimate Eve of Christmas, a few nested \stackinsets make for a wonderfully festive stained glass imitation. God bless us, every one!

\documentclass{report}
\usepackage{geometry}
\geometry{paperwidth=40cm,paperheight=25cm,margin=1cm}
\usepackage{tikz}
\usetikzlibrary{calc}
\tikzset{c/.style={every coordinate/.try}}
\tikzset{d/.style={every coordinate/.try}}
\usetikzlibrary{plotmarks}
\definecolor{green1}{cmyk}{1,0,.6,0}
\definecolor{leafgreen}{cmyk}{1, 0, 0.8, 0} 
\definecolor{black}{cmyk}{0,0,0,1}
\usepackage{stackengine}
\begin{document}
\savestack\Tile{%
\color{black}
\begin{tikzpicture}[line width=10pt, scale=1]
    \draw (0,0) coordinate (A) node {A};
    \draw (2.5,0) coordinate (E)  node {E};
    \draw ($ (A)!2.5cm!90:(E) $) coordinate (B) node {B};
    \draw ($ (B)! 4.829625cm!105: (A) $) coordinate (C) node{C};
    \draw ($ (C)! 2.5cm!135: (B) $) coordinate(D) node {D}; 
    \draw ($ (C)!2.5cm!90:(D) $) coordinate(F)  node {F};
    \draw ($ (F)! 4.829625cm!105: (C) $) coordinate(G)  node {G};   
    \draw ($ (G)! 2.5cm!135: (F) $) coordinate(H)  node {H};
    \draw ($ (F)!5cm!300:(C) $) coordinate(I)  node {I};
    \draw ($ (I)!2.5cm!-150:(F) $) coordinate(J) node {J};
    \draw ($ (E)!2.5cm!0: (D) $) coordinate (X) node {X};
\begin{scope}
\begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope} 
\begin{scope}[every coordinate/.style={shift={($(X)-(J)$)}}]
 \begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope}
\end{tikzpicture}}
\stackinset{l}{4\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{3\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{2\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{170pt}{b}{-96pt}{\Tile}{%
  \Tile}}}}

\end{document}

enter image description here

Taking it to its logical conclusion (EDITED to use fast-running \Longstacks instead of nested \stackinsets):

\documentclass{report}
\usepackage{geometry}
\geometry{paperwidth=40cm,paperheight=20cm,margin=0cm}
\usepackage{tikz}
\usetikzlibrary{calc}
\tikzset{c/.style={every coordinate/.try}}
\tikzset{d/.style={every coordinate/.try}}
\usetikzlibrary{plotmarks}
\definecolor{green1}{cmyk}{1,0,.6,0}
\definecolor{leafgreen}{cmyk}{1, 0, 0.8, 0} 
\definecolor{black}{cmyk}{0,0,0,1}
\usepackage{stackengine}
\begin{document}
\savestack\Tile{%
\color{black}
\begin{tikzpicture}[line width=10pt, scale=1]
    \draw (0,0) coordinate (A) node {A};
    \draw (2.5,0) coordinate (E)  node {E};
    \draw ($ (A)!2.5cm!90:(E) $) coordinate (B) node {B};
    \draw ($ (B)! 4.829625cm!105: (A) $) coordinate (C) node{C};
    \draw ($ (C)! 2.5cm!135: (B) $) coordinate(D) node {D}; 
    \draw ($ (C)!2.5cm!90:(D) $) coordinate(F)  node {F};
    \draw ($ (F)! 4.829625cm!105: (C) $) coordinate(G)  node {G};   
    \draw ($ (G)! 2.5cm!135: (F) $) coordinate(H)  node {H};
    \draw ($ (F)!5cm!300:(C) $) coordinate(I)  node {I};
    \draw ($ (I)!2.5cm!-150:(F) $) coordinate(J) node {J};
    \draw ($ (E)!2.5cm!0: (D) $) coordinate (X) node {X};
\begin{scope}
\begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope} 
\begin{scope}[every coordinate/.style={shift={($(X)-(J)$)}}]
 \begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope}
\end{tikzpicture}}
% NOW START STACKING THE \Tile
\newlength\Hshft%
\setstackEOL{\\}%
\setstackgap{L}{96pt}%
\setlength\Hshft{340pt}%
\savestack\Vtile{\smash{\hsmash{\Longstack{%
  \Tile\\
  \hspace{\Hshft}\Tile\\
  \hspace{2\Hshft}\Tile\\
  \hspace{3\Hshft}\Tile\\
  \hspace{4\Hshft}\Tile\\
  \hspace{5\Hshft}\Tile\\
  \hspace{6\Hshft}\Tile\\
  \hspace{7\Hshft}\Tile\\
  \hspace{8\Hshft}\Tile%
}}}}%
\setstackgap{L}{-210pt}%
\setlength\Hshft{2490pt}%
\hspace{-1630pt}\raisebox{-800pt}{\Longstack{\Vtile\\\hspace{\Hshft}\Vtile}}
\end{document}

enter image description here

To understand what the stacking blocks \Tile, \Vtile and \VVtile are, I provide this example on expanded page size:

\documentclass{report}
\usepackage{geometry}
\geometry{paperwidth=135cm,paperheight=115cm,margin=1cm}
\usepackage{tikz}
\usetikzlibrary{calc}
\tikzset{c/.style={every coordinate/.try}}
\tikzset{d/.style={every coordinate/.try}}
\usetikzlibrary{plotmarks}
\definecolor{green1}{cmyk}{1,0,.6,0}
\definecolor{leafgreen}{cmyk}{1, 0, 0.8, 0} 
\definecolor{black}{cmyk}{0,0,0,1}
\usepackage{stackengine}
\begin{document}
\savestack\Tile{%
\color{black}
\begin{tikzpicture}[line width=10pt, scale=1]
    \draw (0,0) coordinate (A) node {A};
    \draw (2.5,0) coordinate (E)  node {E};
    \draw ($ (A)!2.5cm!90:(E) $) coordinate (B) node {B};
    \draw ($ (B)! 4.829625cm!105: (A) $) coordinate (C) node{C};
    \draw ($ (C)! 2.5cm!135: (B) $) coordinate(D) node {D}; 
    \draw ($ (C)!2.5cm!90:(D) $) coordinate(F)  node {F};
    \draw ($ (F)! 4.829625cm!105: (C) $) coordinate(G)  node {G};   
    \draw ($ (G)! 2.5cm!135: (F) $) coordinate(H)  node {H};
    \draw ($ (F)!5cm!300:(C) $) coordinate(I)  node {I};
    \draw ($ (I)!2.5cm!-150:(F) $) coordinate(J) node {J};
    \draw ($ (E)!2.5cm!0: (D) $) coordinate (X) node {X};
\begin{scope}
\begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope} 
\begin{scope}[every coordinate/.style={shift={($(X)-(J)$)}}]
 \begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope}
\end{tikzpicture}}
% NOW START STACKING THE \Tile
\newlength\Hshft%
\setstackEOL{\\}%
\setstackgap{L}{96pt}%
\setlength\Hshft{340pt}%
\savestack\Vtile{\smash{\hsmash{\Longstack{%
  \Tile\\
  \hspace{\Hshft}\Tile\\
  \hspace{2\Hshft}\Tile\\
  \hspace{3\Hshft}\Tile\\
  \hspace{4\Hshft}\Tile\\
  \hspace{5\Hshft}\Tile\\
  \hspace{6\Hshft}\Tile\\
  \hspace{7\Hshft}\Tile\\
  \hspace{8\Hshft}\Tile%
}}}}%
\setstackgap{L}{-210pt}%
\setlength\Hshft{2490pt}%
\savestack\VVtile{\Longstack{\Vtile\\\hspace{\Hshft}\Vtile}}%

\parskip 300pt\Huge\vspace*{500pt}
This is a tile: \Tile
This is a tile stack: \Vtile

And this is two tile stacks:\par
\hspace{-630pt}\raisebox{-800pt}{\VVtile}
\end{document}

enter image description here

Here was the original (long running) \stackinset variant:

\documentclass{report}
\usepackage{geometry}
\geometry{paperwidth=40cm,paperheight=25cm,margin=1cm}
\usepackage{tikz}
\usetikzlibrary{calc}
\tikzset{c/.style={every coordinate/.try}}
\tikzset{d/.style={every coordinate/.try}}
\usetikzlibrary{plotmarks}
\definecolor{green1}{cmyk}{1,0,.6,0}
\definecolor{leafgreen}{cmyk}{1, 0, 0.8, 0} 
\definecolor{black}{cmyk}{0,0,0,1}
\usepackage{stackengine}
\begin{document}
\savestack\Tile{\smash{\hsmash{%
\color{black}
\begin{tikzpicture}[line width=10pt, scale=1]
    \draw (0,0) coordinate (A) node {A};
    \draw (2.5,0) coordinate (E)  node {E};
    \draw ($ (A)!2.5cm!90:(E) $) coordinate (B) node {B};
    \draw ($ (B)! 4.829625cm!105: (A) $) coordinate (C) node{C};
    \draw ($ (C)! 2.5cm!135: (B) $) coordinate(D) node {D}; 
    \draw ($ (C)!2.5cm!90:(D) $) coordinate(F)  node {F};
    \draw ($ (F)! 4.829625cm!105: (C) $) coordinate(G)  node {G};   
    \draw ($ (G)! 2.5cm!135: (F) $) coordinate(H)  node {H};
    \draw ($ (F)!5cm!300:(C) $) coordinate(I)  node {I};
    \draw ($ (I)!2.5cm!-150:(F) $) coordinate(J) node {J};
    \draw ($ (E)!2.5cm!0: (D) $) coordinate (X) node {X};
\begin{scope}
\begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope} 
\begin{scope}[every coordinate/.style={shift={($(X)-(J)$)}}]
 \begin{scope}
\draw [top color=green!30,bottom color=green!90] 
(A) -- (E) -- (X) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle;
\draw (B) -- (C) -- (F);
\draw (B) -- (C) -- (D);
\end{scope} 
\begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
\draw [top color=red!30,bottom color=red!90] 
([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
\draw [top color=blue!30,bottom color=blue!90]
  ([c]A) -- ([c]E)-- ([c]X) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
\draw  [top color=yellow!30,bottom color=yellow!90]
 ([c]A) -- ([c]E) -- ([c]X)-- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle;
\draw ([c]B) -- ([c]C) -- ([c]F);
\draw ([c]B) -- ([c]C) -- ([c]D);
\end{scope}
\end{scope}
\end{tikzpicture}}}}
  \stackinset{l}{\dimexpr-55pt+\dimexpr-2\dimexpr170pt}{b}{5\dimexpr96pt}{\Tile}{%
  \stackinset{l}{\dimexpr-55pt+\dimexpr-1\dimexpr170pt}{b}{4\dimexpr96pt}{\Tile}{%
  \stackinset{l}{\dimexpr-55pt+\dimexpr0\dimexpr170pt}{b}{3\dimexpr96pt}{\Tile}{%
  \stackinset{l}{\dimexpr-55pt+\dimexpr1\dimexpr170pt}{b}{2\dimexpr96pt}{\Tile}{%
  \stackinset{l}{\dimexpr-55pt+\dimexpr2\dimexpr170pt}{b}{1\dimexpr96pt}{\Tile}{%
  \stackinset{l}{\dimexpr-55pt+\dimexpr3\dimexpr170pt}{b}{-306pt}{\Tile}{%
\stackinset{l}{9\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{8\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{7\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{6\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{5\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{4\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{3\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{2\dimexpr170pt}{b}{-96pt}{\Tile}{%
\stackinset{l}{170pt}{b}{-96pt}{\Tile}{%
  \Tile}}}}}}}}}}}}}}}

\end{document}

enter image description here

Steven B. Segletes
  • 237,551
3

I know this is an old question, but this is a pure-TikZ way to do it.

% arara: pdflatex
\documentclass[tikz,margin=1cm]{standalone}
\usetikzlibrary{calc}
\tikzset{
  c/.style={every coordinate/.try},
  twelvepentagons/.pic={
    \path (0,0)       coordinate (A)
      (A) ++ (0:1)    coordinate (E)
      (A) ++ (90:1)   coordinate (B)
      (E) ++ (30:2)   coordinate (D)
      (D) ++ (150:1)  coordinate (C)
      (C) ++ (60:1)   coordinate (F)
      (D) ++ (0:2)    coordinate (H)
      (H) ++ (120:1)  coordinate (G)
      (F) ++ (180:2)  coordinate (I)
      (B) ++ (120:1)  coordinate (J)
      (E) ++ (30:1)   coordinate (X);
    \begin{scope}[every coordinate/.style={shift={($(X)-(J)$)}}]
      \begin{scope}
        \draw[top color=green!30,bottom color=green!90]
          (A) -- (E) -- (D) -- (H) -- (G) -- (F) -- (I) -- (J) -- (B) -- cycle
          (B) -- (C) -- (F) (C) -- (D);
      \end{scope}
      \begin{scope}[every coordinate/.style={rotate=-60,yscale=-1,shift={($(J)-(A)$)}}]
        \draw[top color=red!30,bottom color=red!90]
          ([c]A) -- ([c]E) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle
          ([c]B) -- ([c]C) -- ([c]F) ([c]C) -- ([c]D);
      \end{scope}
      \begin{scope}[every coordinate/.style={xscale=-1,yscale=-1,shift={($(G)-(A)+(H)-(A)$)}}]
        \draw[top color=blue!30,bottom color=blue!90]
          ([c]A) -- ([c]E) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle
          ([c]B) -- ([c]C) -- ([c]F) ([c]C) -- ([c]D);
      \end{scope}
      \begin{scope}[every coordinate/.style={xscale=-1,rotate=60,shift={($(G)-(A)+(H)-(A)-(J)+(A)$)}}]
        \draw[top color=yellow!30,bottom color=yellow!90]
          ([c]A) -- ([c]E) -- ([c]D) -- ([c]H) -- ([c]G) -- ([c]F) -- ([c]I) -- ([c]J) -- ([c]B) -- cycle
          ([c]B) -- ([c]C) -- ([c]F) ([c]C) -- ([c]D);
      \end{scope}
    \end{scope}
  }
}
\begin{document}
\begin{tikzpicture}[line width=5pt]
  \foreach \i in {0,...,3} {
    \pgfmathsetmacro\basex{\i*10.330127} % (12+5sqrt(3))/2
    \pgfmathsetmacro\basey{\i*6.964102}  % (7+4sqrt(3))/2
    \foreach \j in {0,...,10} {
      \pgfmathsetmacro\thisx{\basex+\j*2.366025} % (3+sqrt(3))/2
      \pgfmathsetmacro\thisy{\basey-\j*1.366025} % -(1+sqrt(3))/2
      \pic at (\thisx,\thisy) {twelvepentagons};
    }
  }
\end{tikzpicture}
\end{document}

enter image description here

Some notes:

  • I used pic to store the main block, so that the main code body is simpler. Now you just need to find the right coefficient to multiply with in the loops, but I already calculated it there.
  • I simplified your code a bit. And indented it too. Working with indented code is always easier than unindented code.
  • I changed the unit side length to 1. Just multiply all numbers here with 2.5 if you want to.
fractal
  • 131