Kite and dart Penrose tiling via TilingDecomposition.
Rendering
\usepackage{tikz} \usetikzlibrary{tilings.penrose}
\begin{tikzpicture}[every tile/.style={draw}, tiling step=2cm, scale=0.5] \TilingDecomposition{kite}{0}{T} \end{tikzpicture}
polyhedra
Polyhedral Cone
penrose
Penrose Rhomb Tiling