\documentclass{standalone}
\usepackage[active,tightpage]{preview}
\usepackage{amsmath}
\usepackage{pgfplots}

\usepackage{anyfontsize}
\renewcommand{\normalsize}{\fontsize{14pt}{16pt}\selectfont}

\pgfplotsset{compat=1.18}
\PreviewEnvironment{tikzpicture}

\begin{document}

\begin{tikzpicture}[scale=15,very thick]
\pgfmathsetmacro{\golden}{((sqrt(5)-1)/2)}

\draw (0,0) node[draw,fill,circle,inner sep=-1.5pt,label=$l_1$] {} 
    -- (1-\golden,0) node[draw,red,fill,circle,inner sep=-1.5pt,label=$m_1^l$] {} 
    -- (\golden,0) node[draw,red,fill,circle,inner sep=-1.5pt,label=$m_1^r$] {} 
    -- (1,0) node[draw,fill,circle,inner sep=-1.5pt,label=$r_1$] {};
\draw (0,-0.2) node[draw,fill,circle,inner sep=-1.5pt,label=$l_2$] {} 
    -- ({(1-\golden)*\golden},-0.2) node[draw,red,fill,circle,inner sep=-1.5pt,label=$m_2^l$] {} 
    -- ({\golden*\golden},-0.2) node[draw,fill,circle,inner sep=-1.5pt,label=$m_2^r$] {} 
    -- (\golden,-0.2) node[draw,fill,circle,inner sep=-1.5pt,label=$r_2$] {};
\draw ({(1-\golden)*\golden},-0.4) node[draw,fill,circle,inner sep=-1.5pt,label=$l_3$] {} 
    -- ({(1-\golden)*\golden+(1-\golden)*\golden*\golden},-0.4) node[draw,fill,circle,inner sep=-1.5pt,label=$m_3^l$] {} 
    -- ({(1-\golden)*\golden+\golden*\golden*\golden},-0.4) node[draw,red,fill,circle,inner sep=-1.5pt,label=$m_3^r$] {} 
    -- (\golden,-0.4) node[draw,fill,circle,inner sep=-1.5pt,label=$r_3$] {};

\end{tikzpicture}

\end{document}