使用 pgfplots 创建 2x2 三维图阵列。遇到编译问题

Question

我将一个三变量函数绘制成四个二变量函数，四个图中的每一个都将第三个变量固定在特定值。示例如下：

对于任何感兴趣的人，它的源代码是：

\documentclass{article}
\usepackage[utf8]{inputenc}

\usepackage{pgfplots}

\begin{tikzpicture}
\begin{axis}[
name=axis1,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(x*y)^(0.5) + (0.5)*(x)^(0.5) + (0.5)*(y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 1 };
\end{axis}
\end{tikzpicture}

我的目标是将这四个图组成一个 2x2 数组/网格。我不确定“minipage”在这里是否是个好主意，但这是我一直采用的方法。

我还想将 z 轴设置为特定值（500），以使这两个变量函数之间的比较更清晰，但我可能会将其保存为另一个问题（如果我在这里得到答案，我仍然想将其作为问题提出，以便其他人可以找到它）。

单独来看，我的图表编译得很好，然而当嵌入到图形和小页面环境中时，LaTeX 并没有返回任何好的东西。

以下是我目前获得的源代码：

\documentclass{article}
\usepackage[utf8]{inputenc}

\usepackage{pgfplots}

\begin{document}


\section{Plot with one variable held constant}

Consider $A(x,y,z)$ for a particular value of z:
$$ \mathfrak{A} = \frac{\sqrt{x y z}}{6} + \frac{\sqrt{x y} + \sqrt{y z} + \sqrt{x z}}{2} + x + y + z $$

$$For z = 1:$$

$$For z = 10$$


$$For z = 20:$$

$$For z = 30:$$

\begin{figure}%
\begin{minipage}
\centering
\begin{subfigure}
\begin{tikzpicture}
\begin{axis}[
name=axis1,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(x*y)^(0.5) + (0.5)*(x)^(0.5) + (0.5)*(y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 1 };
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\hfill
\centering
\begin{subfigure}
\begin{tikzpicture}
\begin{axis}[
name=axis2,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(10*x*y)^(0.5) + (0.5)*(10*x)^(0.5) + (0.5)*(10*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 10 };
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\hfill
\centering
\begin{subfigure}
\begin{tikzpicture}
\begin{axis}[
name=axis3,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(20*x*y)^(0.5) + (0.5)*(20*x)^(0.5) + (0.5)*(20*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 20 };
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\\
\centering
\begin{subfigure}
\begin{tikzpicture}
\begin{axis}[
name=axis4,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(30*x*y)^(0.5) + (0.5)*(30*x)^(0.5) + (0.5)*(30*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 30 };
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\hfill
\end{minipage}%
\end{figure}
\end{document}

Answer 1

这里有两个提案，要么是表格中的子图，要么只是一个 Ti钾Zy 矩阵。

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{subcaption}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\begin{document}


\section{Plot with one variable held constant}

% Consider $A(x,y,z)$ for a particular value of z:
% \[ \mathfrak{A} = \frac{\sqrt{x y z}}{6} + \frac{\sqrt{x y} + \sqrt{y z} +
% \sqrt{x z}}{2} + x + y + z \]
% 
% \[For z = 1:\]
% 
% \[For z = 10\]
% 
% 
% \[For z = 20:\]
% 
% \[For z = 30:\]

\begin{figure}[htb]%
\pgfplotsset{width=0.9\linewidth,zmax=500}
\centering
\begin{tabular}{cc}
\begin{subfigure}{0.45\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
name=axis1,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(x*y)^(0.5) + (0.5)*(x)^(0.5) + (0.5)*(y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 1 };
\end{axis}
\end{tikzpicture}
\end{subfigure}% 
& 
\begin{subfigure}{0.45\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
name=axis2,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(10*x*y)^(0.5) + (0.5)*(10*x)^(0.5) + (0.5)*(10*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 10 };
\end{axis}
\end{tikzpicture}
\end{subfigure} \\
\begin{subfigure}{0.45\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
name=axis3,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(20*x*y)^(0.5) + (0.5)*(20*x)^(0.5) + (0.5)*(20*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 20 };
\end{axis}
\end{tikzpicture}
\end{subfigure}%
&
\begin{subfigure}{0.45\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
name=axis4,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(30*x*y)^(0.5) + (0.5)*(30*x)^(0.5) + (0.5)*(30*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 30 };
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\end{tabular}
\caption{With subfigures from the \texttt{subcation} package.}
\end{figure}


\begin{figure}[htb]%
\pgfplotsset{width=0.45\linewidth,zmax=500}
\centering
\begin{tikzpicture}
\matrix{
\begin{axis}[
name=axis1,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(x*y)^(0.5) + (0.5)*(x)^(0.5) + (0.5)*(y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 1 };
\end{axis}
&
\begin{axis}[
name=axis2,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(10*x*y)^(0.5) + (0.5)*(10*x)^(0.5) + (0.5)*(10*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 10 };
\end{axis} \\
\begin{axis}[
name=axis3,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(20*x*y)^(0.5) + (0.5)*(20*x)^(0.5) + (0.5)*(20*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 20 };
\end{axis}
&
\begin{axis}[
name=axis4,
grid=major,
view={35}{45},
]
\addplot3+ [
mesh,
scatter,
faceted color=blue,
samples=10,
domain=0:100,y domain=0:100
] {0.1667*(30*x*y)^(0.5) + (0.5)*(30*x)^(0.5) + (0.5)*(30*y)^(0.5) + (0.5)*(x*y)^(0.5) + x + y + 30 };
\end{axis}\\
};
\end{tikzpicture}
\caption{With a \texttt{tikz} matrix.}
\end{figure}

\end{document}

顺便说一句，您的示例没有编译，因为您没有在序言中加载相关的包，并且$$ ... $$需要被替换\[ ... \]。