Tikz：用圆圈创建深度效果

Question

我想画圆来创造 3D 效果。我不知道如何旋转图像。代码如下：

`\documentclass[a4paper]{article}

\usepackage{tikz}

\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{fadings}

\begin{document}

\newcommand{\distin}{0.3}
\newcommand{\opacity}{0.3}

\newcommand{\xShift}{1.1}
\newcommand{\yShift}{1.1}

\begin{figure}[htb!]
    \centering
    \begin{tikzpicture}

        \foreach \i in {0,...,10}{
            \foreach \j in {0,...,7}{
                \draw [fill=black, opacity=\opacity, draw=black]
                (\distin*\i,\distin*\j) circle (1mm);
            }
        }

    \end{tikzpicture}
\end{figure}

\end{document}

目前代码生成以下图像：

但我想要这样的东西：

我怎样才能做到这一点？'

Answer 1

像这样 ？

\documentclass[a4paper]{article}

\usepackage{tikz}

\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{fadings}

\begin{document}

\newcommand{\distin}{0.2}
\newcommand{\opacity}{1}

\newcommand{\xShift}{1.1}
\newcommand{\yShift}{1.1}

\begin{figure}[htb!]
    \centering
    \begin{tikzpicture}[scale=3]

        \foreach \i [count=\c]in {10,...,0}{
            \foreach \j [evaluate =\j as \decrement using \j-\c*.5] in {7,...,0}{
                \draw [fill=blue!50,draw=blue, opacity=\opacity, draw=black]
                (\distin*.4*\i,\distin*\decrement) circle (1mm);
            }
        }

    \end{tikzpicture}
\end{figure}

\end{document}

Answer 2

tikz-3dplot允许您以 3D 形式绘制事物并调整视图。您可以通过调整来更改视图\tdplotsetmaincoords{70}{20}。

\documentclass[a4paper]{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d}

\begin{document}

\newcommand{\distin}{0.3}
\newcommand{\opacity}{0.3}

\newcommand{\xShift}{1.1}
\newcommand{\yShift}{1.1}

\begin{figure}[htb!]
    \centering
    \tdplotsetmaincoords{70}{20}        
    \begin{tikzpicture}[tdplot_main_coords]
        \foreach \i in {10,9,...,0}{
            \begin{scope}[canvas is xz plane at y=\distin*\i]
            \foreach \j in {0,...,7}{
                \draw [fill=black, opacity=\opacity, draw=black]
                (0,\distin*\j) circle (1mm);
            }
            \end{scope}
        }

    \end{tikzpicture}
\end{figure}

\end{document}

如果想要有未投影在相应平面上的圆，请使用dplot_screen_coords而不是相应的平面。

\documentclass[a4paper]{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}

\begin{document}

\newcommand{\distin}{0.3}
\newcommand{\opacity}{0.3}

\begin{figure}[htb!]
    \centering
    \tdplotsetmaincoords{70}{20}        
    \begin{tikzpicture}[tdplot_main_coords,scale=3]
        \foreach \i in {10,9,...,0}{
            \foreach \j in {0,...,7}{
                \draw [fill=black, opacity=\opacity, draw=black]
                (0,\distin*\i,\distin*\j) [tdplot_screen_coords] circle (1mm);
            }
        }

    \end{tikzpicture}
\end{figure}

\end{document}

下面的动画稍微解释了一下视角的含义。

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d}
\begin{document}
\newcommand{\distin}{0.3}
\newcommand{\opacity}{0.3}
\foreach \X in {-70,-65,...,70}
{\tdplotsetmaincoords{70+15*sin(\X)}{\X}        
\begin{tikzpicture}
\path[use as bounding box] (-4,-0.5) rectangle (4,4);
\begin{scope}[tdplot_main_coords]
    \foreach \i in {10,9,...,0}{
        \begin{scope}[canvas is xz plane at y=\distin*\i]
        \foreach \j in {0,...,7}{
            \draw [fill=black, opacity=\opacity, draw=black]
            (0,\distin*\j) circle (1mm);
        }
        \end{scope}
    }
\end{scope} 
\end{tikzpicture}}
\end{document}