如何绘制更加密集的网格或格子？

Question

我的询问：

1）如何在二维中绘制更密集的网格？

2）如何在三维中绘制更密集的网格？

假设它在二维上仍然是 4 x 4，或者在三维上仍然是 4 x 4 x 4，但我希望每边在网格上的 4 个单元上有 16 或 17 个格点？（所以在二维上是 16 x 16，或者在三维上是 16 x 16 x 16。）

以下是我所拥有的：

\begin{figure}[h!]
\centering
\begin{tikzpicture}
\draw [very thin, lightgray] (0,0) grid (4,4);
\end{tikzpicture}
\label{fig:lattice}
\caption{}
\end{figure}

Answer 1

这是一个 3D 网格。

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\tdplotsetmaincoords{70}{110}
\begin{document}
\begin{tikzpicture}[tdplot_main_coords]
 \foreach \X in {0,1,...,16}
 {\foreach \Y in {0,1,...,16}
 {\draw (\X/4,\Y/4,0) -- (\X/4,\Y/4,16/4);
 \draw (\X/4,0,\Y/4) -- (\X/4,16/4,\Y/4);
 \draw (0,\X/4,\Y/4) -- (16/4,\X/4,\Y/4);}}
\end{tikzpicture} 
\end{document}

下面的插图显示了视图的作用。

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\begin{document}
\foreach \Rot in {0,10,...,360}
{\tdplotsetmaincoords{70+15*sin(\Rot)}{\Rot}
\begin{tikzpicture}[tdplot_main_coords]
\path[use as bounding box,tdplot_screen_coords] (-6,-2) rectangle (6,7);
 \foreach \X in {0,1,...,16}
 {\foreach \Y in {0,1,...,16}
 {\draw (\X/4,\Y/4,0) -- (\X/4,\Y/4,16/4);
 \draw (\X/4,0,\Y/4) -- (\X/4,16/4,\Y/4);
 \draw (0,\X/4,\Y/4) -- (16/4,\X/4,\Y/4);}}
\end{tikzpicture} }
\end{document}

当然，您可以使用非常细的灰线。是的，您可以通过以下方式缩放网格scale=<factor>。

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\tdplotsetmaincoords{70}{110}
\begin{document}
\begin{tikzpicture}[tdplot_main_coords]
\begin{scope}[ultra thin,lightgray]
 \foreach \X in {0,1,...,16}
 {\foreach \Y in {0,1,...,16}
 {\draw (\X/4,\Y/4,0) -- (\X/4,\Y/4,16/4);
 \draw (\X/4,0,\Y/4) -- (\X/4,16/4,\Y/4);
 \draw (0,\X/4,\Y/4) -- (16/4,\X/4,\Y/4);}}
\end{scope} 

\begin{scope}[line width=0.01pt,lightgray,xshift=5cm,scale=0.4]
 \foreach \X in {0,1,...,16}
 {\foreach \Y in {0,1,...,16}
 {\draw (\X/4,\Y/4,0) -- (\X/4,\Y/4,16/4);
 \draw (\X/4,0,\Y/4) -- (\X/4,16/4,\Y/4);
 \draw (0,\X/4,\Y/4) -- (16/4,\X/4,\Y/4);}}
\end{scope} 

\end{tikzpicture} 
\end{document}

Answer 2

键step就是用来指示这一点的。

\documentclass{article}
\usepackage{tikz}
\begin{document}

\begin{tikzpicture}
\draw [very thin, lightgray] (0,0) grid (4,4);

\begin{scope}[xshift=5cm]
\draw [very thin, lightgray,step=.1] (0,0) grid (4,4);
\end{scope}
\end{tikzpicture}
\end{document}

Answer 3

PSTricks 解决方案仅用于比较目的。

\documentclass[pstricks,border=12pt,12pt]{standalone}
\newpsstyle{gridstyle}
{
    gridlabels=8pt,
    gridfont=Arial,
    %   
    gridcolor=red,
    subgridcolor=gray,
    %
    subgriddiv=5,
    %
    gridwidth=.8pt,
    subgridwidth=.4pt,
    %
    griddots=10,
    subgriddots=5,
}
\begin{document}
\begin{pspicture}[showgrid](5,5)

\end{pspicture}
\end{document}