根据 tikz 环境中对象的三维位置分配颜色

Question

您的示例非常庞大，因此我大幅削减了代码，并专注于 3D 中颜色的定位。

\extractcolorspec在此示例中，我通过以下命令获取颜色规范：xcolor包，我们得到例如 gold-> {rgb}{1,0.84314,0}-> x=5*1=5, y=3*0.84314=2.52942, z=10*0=0因为我将象限从限制(0,0,0)到(5,3,10)。它与配合得很好rgb，但它需要一些额外的颜色从其他颜色空间转换为rgb，例如white和black不能立即工作，因为它们是在gray颜色空间中定义的。

编辑：代码中有两个命令：\catchme和\placeme。都用于\node放置文本。第一个使用定义的颜色，第二个命令使用点。

我附上了代码和结果预览，我们可以使用 pdf-、xe- 和 lualatex。

%! *latex mal-colours.tex
\documentclass[a4paper]{article}
\pagestyle{empty}
\usepackage{xcolor}
\usepackage{tikz}
\definecolor{gold}{RGB}{255,215,0}
\definecolor{beetjeblue}{RGB}{65,105,225}
\definecolor{zalmorange}{RGB}{255,160,122}
\definecolor{firebrick}{RGB}{178,34,34}
\definecolor{donker}{RGB}{153,50,204}
\definecolor{dviolet}{RGB}{148,0,211}
\definecolor{ired}{RGB}{205,92,92}
\definecolor{rbrown}{RGB}{188,143,143}
\definecolor{palegreen}{RGB}{154,205,50}
\definecolor{plum}{RGB}{221,160,221}
\definecolor{LSB}{RGB}{135,206,250}
\definecolor{navy}{RGB}{0,0,128}
\definecolor{LB}{RGB}{100,149,237}
\definecolor{navajo}{RGB}{255,222,173}
\definecolor{honey}{RGB}{193,205,193}
\definecolor{darkslate}{RGB}{49,79,79}
\begin{document}
\def\malsep#1#2{\malcoord#2 }
\def\malcoord#1,#2,#3 {%
  \pgfmathparse{#1*\xmax}%
  \let\mred=\pgfmathresult
  \pgfmathparse{#2*\ymax}%
  \let\mgreen=\pgfmathresult
  \pgfmathparse{#3*\zmax}%
  \let\mblue=\pgfmathresult
  }%
\def\catchme#1{%
  \extractcolorspec{#1}{\test}%
  %\typeout{\meaning\test}% Show me the color specification...
  \expandafter\malsep\test
  \node[#1]at(\mred,\mgreen,\mblue){#1};
  }
\def\placeme#1{\malplaceme#1 }
\def\malplaceme#1,#2,#3 {%
  \pgfmathparse{#1/\xmax}%
  \let\xplace=\pgfmathresult
  \pgfmathparse{#2/\ymax}%
  \let\yplace=\pgfmathresult
  \pgfmathparse{#3/\zmax}%
  \let\zplace=\pgfmathresult
  \definecolor{maltemp}{rgb}{\xplace,\yplace,\zplace}%
  \node[maltemp]at(#1,#2,#3){new-color};
  }
\def\xmax{5}
\def\ymax{3}
\def\zmax{10}
\begin{tikzpicture}
\draw[->] (0,0,0)--(\xmax,0,0) node[yshift=-1.5ex,xshift=-3ex] {$x$};
\draw[->] (0,0,0)--(0,\ymax,0) node[yshift=-3ex,xshift=-1ex] {$y$};
\draw[->] (0,0,0)--(0,0,\zmax) node[yshift=2ex,xshift=1ex] {$z$};
\foreach \mcolor in {red, green, blue, gold, beetjeblue, zalmorange, firebrick, donker, dviolet, ired, rbrown, palegreen, plum, LSB, navy, LB, navajo, honey, darkslate} { \catchme{\mcolor} }
\placeme{2,2,2}
\placeme{0,2,8}
\end{tikzpicture} 
\end{document}

mwe，第 1 部分

这是具有用户定义最小值和最大值点的示例。

%! *latex mal-colours.tex
\documentclass[a4paper]{article}
\pagestyle{empty}
\usepackage{xcolor}
\usepackage{tikz}
\definecolor{gold}{RGB}{255,215,0}
\definecolor{beetjeblue}{RGB}{65,105,225}
\definecolor{zalmorange}{RGB}{255,160,122}
\definecolor{firebrick}{RGB}{178,34,34}
\definecolor{donker}{RGB}{153,50,204}
\definecolor{dviolet}{RGB}{148,0,211}
\definecolor{ired}{RGB}{205,92,92}
\definecolor{rbrown}{RGB}{188,143,143}
\definecolor{palegreen}{RGB}{154,205,50}
\definecolor{plum}{RGB}{221,160,221}
\definecolor{LSB}{RGB}{135,206,250}
\definecolor{navy}{RGB}{0,0,128}
\definecolor{LB}{RGB}{100,149,237}
\definecolor{navajo}{RGB}{255,222,173}
\definecolor{honey}{RGB}{193,205,193}
\definecolor{darkslate}{RGB}{49,79,79}
\begin{document}
\def\malsep#1#2{\malcoord#2 }
\def\malcoord#1,#2,#3 {%
  \pgfmathparse{#1*(\xmax-\xmin)+\xmin}%
  \let\mred=\pgfmathresult
  \pgfmathparse{#2*(\ymax-\ymin)+\ymin}%
  \let\mgreen=\pgfmathresult
  \pgfmathparse{#3*(\zmax-\zmin)+\zmin}%
  \let\mblue=\pgfmathresult
  }%
\def\catchme#1{%
  \extractcolorspec{#1}{\test}%
  %\typeout{\meaning\test}% Show me the color specification...
  \expandafter\malsep\test
  \node[#1]at(\mred,\mgreen,\mblue){#1};
  }
\def\placeme#1{\malplaceme#1 }
\def\malplaceme#1,#2,#3 {%
  \pgfmathparse{(#1-\xmin)/(\xmax-\xmin)}%
  \let\xplace=\pgfmathresult
  \pgfmathparse{(#2-\ymin)/(\ymax-\ymin)}%
  \let\yplace=\pgfmathresult
  \pgfmathparse{(#3-\zmin)/(\zmax-\zmin)}%
  \let\zplace=\pgfmathresult
  \definecolor{maltemp}{rgb}{\xplace,\yplace,\zplace}%
  \node[maltemp]at(#1,#2,#3){new-color};
  }
\def\xmax{5} \def\ymax{3} \def\zmax{10}
\def\xmin{-3} \def\ymin{-2} \def\zmin{-3}
\begin{tikzpicture}
\draw[dotted] (\xmin,\ymin,\zmax)--(\xmin,\ymin,\zmin)--(\xmin,\ymax,\zmin)--(\xmin,\ymax,\zmax)--cycle;
\draw[dotted] (\xmin,\ymin,\zmin)--(\xmin,\ymin,\zmax)--(\xmax,\ymin,\zmax)--(\xmax,\ymin,\zmin)--cycle;
\draw[dotted] (\xmin,\ymin,\zmin)--(\xmin,\ymax,\zmin)--(\xmax,\ymax,\zmin)--(\xmax,\ymin,\zmin)--cycle;
\draw[dashed] (\xmin,0,0)--(0,0,0);
\draw[->] (0,0,0)--(\xmax,0,0) node[yshift=-1.5ex,xshift=-3ex] {$x$};
\draw[dashed] (0,\ymin,0)--(0,0,0);
\draw[->] (0,0,0)--(0,\ymax,0) node[yshift=-3ex,xshift=-1ex] {$y$};
\draw[dashed] (0,0,\zmin)--(0,0,0);
\draw[->] (0,0,0)--(0,0,\zmax) node[yshift=2ex,xshift=1ex] {$z$};
\foreach \mcolor in {red, green, blue, gold, beetjeblue, zalmorange, firebrick, donker, dviolet, ired, rbrown, palegreen, plum, LSB, navy, LB, navajo, honey, darkslate} { \catchme{\mcolor} }
\placeme{2,2,2}
\placeme{0,2,8}
\end{tikzpicture} 
\end{document}

mwe，第 2 部分

Answer 1