Answer by Ignasi for Tikz custom dotted pattern

\documentclass[tikz,border=2mm]{standalone} \usetikzlibrary{patterns}\pgfdeclarepatternformonly{mydots}{\pgfqpoint{-1pt}{-1pt}}{\pgfqpoint{1pt}{1pt}}{\pgfqpoint{2pt}{2pt}}% original definition: \pgfqpoint{3pt}{3pt}{%  \pgfpathcircle{\pgfqpoint{0pt}{0pt}}{.5pt}%  \pgfusepath{fill}%}%\pgfdeclarepatternformonly{mynewdots}{\pgfqpoint{-1pt}{-1pt}}{\pgfqpoint{1pt}{1pt}}{\pgfqpoint{1pt}{1pt}}% original definition: \pgfqpoint{3pt}{3pt}{%  \pgfpathcircle{\pgfqpoint{0pt}{0pt}}{.5pt}%  \pgfusepath{fill}%}%\begin{document}\begin{tikzpicture}\draw[pattern=dots] (0,0) rectangle ++(3,3);\draw[pattern=mydots] (4,0) rectangle ++(3,3);\draw[pattern=mynewdots] (8,0) rectangle ++(3,3);\end{tikzpicture}\end{document}

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