
\documentclass[11pt,reqno]{amsart}
\usepackage{amssymb,setspace,tikz,xcolor,mathrsfs,listings,multicol}
\usepackage{rotating}
\usepackage[vcentermath]{youngtab}
\usepackage{hyperref}
\usetikzlibrary{arrows,matrix}
\usepackage[landscape,margin=0in,paper height=8in, paper width=2.5in]{geometry}\onehalfspacing
\tikzset{tab/.style={matrix of math nodes,column sep=-.35, row sep=-.35,text height=7pt,text width=7pt,align=center,inner sep=2,font=\footnotesize}}

\newcommand{\absval}[1]{\left\lvert #1 \right\rvert}
\newcommand{\cc}{\mathrm{cc}}
\newcommand{\diff}{\mathrm{diff}}
\newcommand{\folding}{\searrow}
\newcommand{\g}{\mathfrak{g}}
\newcommand{\HH}{\mathcal{H}}
\newcommand{\id}{\operatorname{id}}
\newcommand{\im}{\mathrm{im}}
\newcommand{\inner}[2]{\left\langle #1, #2 \right\rangle}
\newcommand{\innernoscale}[2]{\langle #1, #2 \rangle} % inner product but does not scale the brackets
\newcommand{\iso}{\cong}
\newcommand{\longdoublearrow}{\relbar\joinrel\twoheadrightarrow}
\newcommand{\longhookarrow}{\lhook\joinrel\longrightarrow}
\renewcommand{\mid}{:}
\newcommand{\NN}{\mathbf{N}}
\newcommand{\Oint}{\mathcal{O}_{\mathrm{int}}}
\newcommand{\one}{\boldsymbol{1}}
\newcommand{\p}{{\bm p}}
\newcommand{\proj}{\operatorname{proj}}
\newcommand{\qedbox}{\rule{2mm}{2mm}}
\renewcommand{\qedsymbol}{\qedbox}	
\newcommand{\QQ}{\mathbf{Q}}
\newcommand{\RC}{\operatorname{RC}} % rigged configurations
\newcommand{\re}{\mathrm{re}}
\newcommand{\sgn}{\!\operatorname{-sgn}}
\newcommand{\virtual}[1]{\widehat{#1}}
\newcommand{\wt}{\mathrm{wt}}
\newcommand{\zero}{\boldsymbol{0}}
\newcommand{\ZZ}{\mathbf{Z}}
\newcommand{\tep}{\widetilde{\varepsilon}} % I got tired of writing this

\newcommand{\case}[1]{\vspace{6pt} \noindent \underline{#1}:}


% Dark red emphasis
\definecolor{darkred}{rgb}{0.7,0,0} % darkred color
\newcommand{\defn}[1]{{\color{darkred}\emph{#1}}} % emphasis of a definition


% use these commands for typesetting doi and arXiv references in the bibliography
\newcommand{\doi}[1]{\href{http://dx.doi.org/#1}{\texttt{doi:#1}}}
\newcommand{\arxiv}[1]{\href{http://arxiv.org/abs/#1}{\texttt{arXiv:#1}}}

\hypersetup{
 colorlinks=True,
 citecolor=green!50!black,
 urlcolor=darkred,
 linkcolor=blue,
}

%% For typesetting code listings
\usepackage{listings}
\lstset{backgroundcolor=\color{blue!5}}
\lstdefinelanguage{Sage}[]{Python}
{morekeywords={False,True},sensitive=true}
\lstset{
  emph={sage},
  emphstyle=\color{blue},
  emph={[2]self},
  emphstyle={[2]\color{brown}},
  frame=none,
  showtabs=False,
  showspaces=False,
  showstringspaces=False,
  commentstyle={\ttfamily\color{olive}},
  keywordstyle={\ttfamily\color{purple}\bfseries},
  stringstyle={\ttfamily\color{orange}\bfseries},
  language=Sage,
  basicstyle={\footnotesize\ttfamily\singlespacing},
  aboveskip=0.0em,
  belowskip=.1in,
  xleftmargin=.1in,
  xrightmargin=.1in,
}

\usepackage{xparse}

\makeatletter
% \specialmergetwolists{<coupler>}{<list1>}{<list2>}{<return macro>}
% \specialmergetwolists*{<coupler>}{<listcmd1>}{<listcmd2>}{<return macro>}
\protected\def\specialmergetwolists{%
  \begingroup
  \@ifstar{\def\cnta{1}\@specialmergetwolists}
    {\def\cnta{0}\@specialmergetwolists}%
}
\def\@specialmergetwolists#1#2#3#4{%
  \def\tempa##1##2{%
    \edef##2{%
      \ifnum\cnta=\@ne\else\expandafter\@firstoftwo\fi
      \unexpanded\expandafter{##1}%
    }%
  }%
  \tempa{#2}\tempb\tempa{#3}\tempa
  \def\cnta{0}\def#4{}%
  \foreach \x in \tempb{%
    \xdef\cnta{\the\numexpr\cnta+1}%
    \gdef\cntb{0}%
    \foreach \y in \tempa{%
      \xdef\cntb{\the\numexpr\cntb+1}%
      \ifnum\cntb=\cnta\relax
        \xdef#4{#4\ifx#4\empty\else,\fi\x#1\y}%
        \breakforeach
      \fi
    }%
  }%
  \endgroup
}
\makeatother

\usepackage{xparse}
\DeclareDocumentCommand\rpp{ m m g }{
	\foreach \x [count=\s from 1] in {#1}{
	        {\ifnum\s=1
	                \draw (0,-\s)--(\x,-\s);
	                \fi}
	   \draw (0,-\s-1) to (\x,-\s-1);
	   \foreach \y in {0, ..., \x} {\draw (\y,-\s)--(\y,-\s-1);}
	}
	\specialmergetwolists{/}{#1}{#2}\ziplist
	\foreach \x/\y [count=\yi from 1] in \ziplist{
	    \node[anchor=west,font=\scriptsize] at (\x,-\yi - .5) {$\y$};
	}
	\IfValueT {#3}
	{\foreach \z [count=\zi from 1] in {#3} {\node[anchor=east,font=\scriptsize] at (0,-\zi - .5) {$\z$};}}
	{}
}

\theoremstyle{plain}
\newtheorem{thm}{Theorem}[section]
\newtheorem{lemma}[thm]{Lemma}
\newtheorem{conj}[thm]{Conjecture}
\newtheorem{prop}[thm]{Proposition}
\newtheorem{cor}[thm]{Corollary}
\theoremstyle{definition}
\newtheorem{dfn}[thm]{Definition}
\newtheorem{ex}[thm]{Example}
\newtheorem{remark}[thm]{Remark}
\numberwithin{equation}{section}
\numberwithin{figure}{section}
\numberwithin{table}{section}
%\setcounter{section}{-1}

%\usepackage[disable]{todonotes}
\usepackage[colorinlistoftodos]{todonotes}
\newcommand{\ben}[1]{\todo[size=\tiny,color=red!30]{#1 \\ \hfill --- Ben}}
\newcommand{\Ben}[1]{\todo[size=\tiny,inline,color=red!30]{#1
      \\ \hfill --- Ben}}
\newcommand{\referee}[1]{\todo[size=\tiny,color=green!30]{#1 \\ \hfill --- Referee}}
\newcommand{\Referee}[1]{\todo[size=\tiny,inline,color=green!30]{#1
      \\ \hfill --- Referee}}
\newcommand{\travis}[1]{\todo[size=\tiny,color=blue!30]{#1 \\ \hfill --- Travis}}
\newcommand{\Travis}[1]{\todo[size=\tiny,inline,color=blue!30]{#1
      \\ \hfill --- Travis}}

\begin{document}



\[
\begin{tikzpicture}[xscale=5.25,yscale=2]
\node (00) at (0,-1) {$\varnothing\ \ \ \varnothing$};
%%%
\node (10) at (-1,-1.5) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
   \rpp{1}{\alpha}{}
  \end{tikzpicture} \ \ \varnothing$};
\node (01) at (1,-1.5) 
 {$\varnothing \ \ \ \begin{tikzpicture}[scale=.25,baseline=-14]
   \rpp{1}{\delta}{}
  \end{tikzpicture}$};
%%%
\node (20) at (-1.5,-2) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
   \rpp{1,1}{2\alpha,\alpha}{}
  \end{tikzpicture} \ \varnothing$};
\node (11-a) at (-.5,-2) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1}{\alpha+\gamma}{}
   \begin{scope}[xshift=5.5cm]
    \rpp{1}{\delta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (11-b) at (.5,-2) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1}{\alpha}{}
   \begin{scope}[xshift=3cm]
    \rpp{1}{\delta+\beta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (02) at (1.5,-2) 
 {$\varnothing \ \ \ \begin{tikzpicture}[scale=.25,baseline=-14]
   \rpp{1,1}{2\delta,\delta}{}
  \end{tikzpicture}$};
%%%
\node (30) at (-1.75,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
   \rpp{1,1,1}{3\alpha,2\alpha,\alpha}{}
  \end{tikzpicture} \ \varnothing$};
\node (21-a) at (-1.25,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1,1}{2\alpha+\gamma,\alpha+\gamma}{}
   \begin{scope}[xshift=5.5cm]
    \rpp{1}{\delta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (21-b) at (-.75,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1,1}{2\alpha+\gamma,\alpha}{}
   \begin{scope}[xshift=5.5cm]
    \rpp{1}{\delta+\beta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (21-c) at (-.25,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1,1}{2\alpha,\alpha}{}
   \begin{scope}[xshift=3.5cm]
    \rpp{1}{\delta+2\beta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (12-a) at (.25,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1}{\alpha+2\gamma}{}
   \begin{scope}[xshift=5.5cm]
    \rpp{1,1}{2\delta,\delta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (12-b) at (.75,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1}{\alpha+\gamma}{}
   \begin{scope}[xshift=5cm]
    \rpp{1,1}{2\delta+\beta,\delta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (12-c) at (1.25,-3) 
 {$\begin{tikzpicture}[scale=.25,baseline=-14]
    \rpp{1}{\alpha}{}
   \begin{scope}[xshift=3cm]
    \rpp{1,1}{2\delta+\beta,\delta+\beta}{}
   \end{scope}
   \end{tikzpicture}$};
\node (03) at (1.75,-3) 
 {$\varnothing \ \ \ \begin{tikzpicture}[scale=.25,baseline=-14]
   \rpp{1,1,1}{3\delta,2\delta,\delta}{}
  \end{tikzpicture}$};
%%%
\foreach \x in {-1.75,-1.25,-.75,-.25,.25,.75,1.25,1.75}
 {\node at (\x,-3.4) {$\vdots$};}
\path[->,color=blue]
 (00) edge (10)
 (10) edge (20)
 (20) edge (30)
 (01) edge (11-b)
 (11-a) edge (21-b)
 (11-b) edge (21-c)
 (02) edge (12-c);
\path[->,color=darkred]
 (00) edge (01)
 (01) edge (02)
 (02) edge (03)
 (10) edge (11-a)
 (20) edge (21-a)
 (11-a) edge (12-a)
 (11-b) edge (12-b);
\end{tikzpicture}
\]



\end{document}