File:Rectified mutetrahedron relations.svg

\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{cd}
\tikzset{tail reversed/.code={\pgfsetarrowsstart{tikzcd to}}}
\begin{document}
\begin{tikzcd}[ampersand replacement=\&]
	{\left\{6,4\middle|4\right\}} \& {\left\{4,6\middle|4\right\}} \\
	{\left\{\infty,4:6,4\right\}} \& {\{6,6:4\}} \\
	{\{6,4:6\}} \& {\{4,6:6\}} \\
	\& {\left\{6,6\middle|3\right\}}
	\arrow["\delta"', color={rgb,255:red,92;green,92;blue,214}, tail reversed, from=1-2, to=1-1]
	\arrow["\pi"', color={rgb,255:red,153;green,92;blue,214}, tail reversed, from=1-1, to=2-1]
	\arrow["\eta"', color={rgb,255:red,214;green,214;blue,92}, from=1-2, to=2-2]
	\arrow["r"', color={rgb,255:red,214;green,153;blue,92}, from=2-2, to=1-1]
	\arrow["\pi"', color={rgb,255:red,153;green,92;blue,214}, tail reversed, from=2-2, to=3-2]
	\arrow["\eta"', color={rgb,255:red,214;green,214;blue,92}, from=3-2, to=4-2]
	\arrow["\delta", color={rgb,255:red,92;green,92;blue,214}, tail reversed, from=3-1, to=3-2]
	\arrow["r"', color={rgb,255:red,214;green,153;blue,92}, from=4-2, to=3-1]
	\arrow["\sigma"', color={rgb,255:red,214;green,92;blue,92}, from=2-1, to=3-1]
\end{tikzcd}
\end{document}