在下面的 TikZ 图中:
\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{3d}
\makeatletter
\def\tikz@lib@cuboid@get#1{\pgfkeysvalueof{/tikz/cuboid/#1}}
\def\tikz@lib@cuboid@setup{%
\pgfmathsetlengthmacro{\vxx}%
{\tikz@lib@cuboid@get{xscale}*cos(\tikz@lib@cuboid@get{xangle})*1cm}
\pgfmathsetlengthmacro{\vxy}%
{\tikz@lib@cuboid@get{xscale}*sin(\tikz@lib@cuboid@get{xangle})*1cm}
\pgfmathsetlengthmacro{\vyx}%
{\tikz@lib@cuboid@get{yscale}*cos(\tikz@lib@cuboid@get{yangle})*1cm}
\pgfmathsetlengthmacro{\vyy}%
{\tikz@lib@cuboid@get{yscale}*sin(\tikz@lib@cuboid@get{yangle})*1cm}
\pgfmathsetlengthmacro{\vzx}%
{\tikz@lib@cuboid@get{zscale}*cos(\tikz@lib@cuboid@get{zangle})*1cm}
\pgfmathsetlengthmacro{\vzy}%
{\tikz@lib@cuboid@get{zscale}*sin(\tikz@lib@cuboid@get{zangle})*1cm}
}
\def\tikz@lib@cuboid@draw#1--#2--#3\pgf@stop{%
\begin{scope}[join=bevel,x={(\vxx,\vxy)},y={(\vyx,\vyy)},z={(\vzx,\vzy)}]
% first fill the faces with global and individual style
% then draw the grids
\begin{scope}[canvas is yz plane at x=#1]
\draw[cuboid/all faces,cuboid/edges,cuboid/right face]
(0,0) -- ++(#2,0) -- ++(0,-#3) -- ++(-#2,0) -- cycle;
\draw[cuboid/all grids,cuboid/right grid] (0,0) grid (#2,-#3);
\end{scope}
\begin{scope}[canvas is xy plane at z=0]
\draw[cuboid/all faces,cuboid/edges,cuboid/front face]
(0,0) -- ++(#1,0) -- ++(0,#2) -- ++(-#1,0) -- cycle;
\draw[cuboid/all grids,cuboid/front grid] (0,0) grid (#1,#2);
\end{scope}
\begin{scope}[canvas is xz plane at y=#2]
\draw[cuboid/all faces,cuboid/edges,cuboid/top face]
(0,0) -- ++(#1,0) -- ++(0,-#3) -- ++(-#1,0) -- cycle;
\draw[cuboid/all grids,cuboid/top grid] (0,0) grid (#1,-#3);
\end{scope}
% now, draw the hidden edges
\draw[cuboid/hidden edges] (0,#2,-#3) -- (0,0,-#3) -- (0,0,0)
(0,0,-#3) -- ++(#1,0,0);
% finally, draw the visible edges
\begin{scope}[canvas is yz plane at x=#1]
\draw[cuboid/all faces,cuboid/right face,cuboid/edges,fill opacity=0]
(0,0) -- ++(#2,0) -- ++(0,-#3) -- ++(-#2,0) -- cycle;
\end{scope}
\begin{scope}[canvas is xy plane at z=0]
\draw[cuboid/all faces,cuboid/front face,cuboid/edges,fill opacity=0]
(0,0) -- ++(#1,0) -- ++(0,#2) -- ++(-#1,0) -- cycle;
\end{scope}
\begin{scope}[canvas is xz plane at y=#2]
\draw[cuboid/all faces,cuboid/top face,cuboid/edges,fill opacity=0]
(0,0) -- ++(#1,0) -- ++(0,-#3) -- ++(-#1,0) -- cycle;
\end{scope}
% define the anchors: 8 vertices
\path (0,#2,0) coordinate (-left top front)
coordinate (-left front top)
coordinate (-top left front)
coordinate (-top front left)
coordinate (-front top left)
coordinate (-front left top);
\path (0,#2,-#3) coordinate (-left top rear)
coordinate (-left rear top)
coordinate (-top left rear)
coordinate (-top rear left)
coordinate (-rear top left)
coordinate (-rear left top);
\path (0,0,-#3) coordinate (-left bottom rear)
coordinate (-left rear bottom)
coordinate (-bottom left rear)
coordinate (-bottom rear left)
coordinate (-rear bottom left)
coordinate (-rear left bottom);
\path (0,0,0) coordinate (-left bottom front)
coordinate (-left front bottom)
coordinate (-bottom left front)
coordinate (-bottom front left)
coordinate (-front bottom left)
coordinate (-front left bottom);
\path (#1,#2,0) coordinate (-right top front)
coordinate (-right front top)
coordinate (-top right front)
coordinate (-top front right)
coordinate (-front top right)
coordinate (-front right top);
\path (#1,#2,-#3) coordinate (-right top rear)
coordinate (-right rear top)
coordinate (-top right rear)
coordinate (-top rear right)
coordinate (-rear top right)
coordinate (-rear right top);
\path (#1,0,-#3) coordinate (-right bottom rear)
coordinate (-right rear bottom)
coordinate (-bottom right rear)
coordinate (-bottom rear right)
coordinate (-rear bottom right)
coordinate (-rear right bottom);
\path (#1,0,0) coordinate (-right bottom front)
coordinate (-right front bottom)
coordinate (-bottom right front)
coordinate (-bottom front right)
coordinate (-front bottom right)
coordinate (-front right bottom);
% centers of the 6 faces
\coordinate (-left center) at (0,.5*#2,-.5*#3);
\coordinate (-right center) at (#1,.5*#2,-.5*#3);
\coordinate (-top center) at (.5*#1,#2,-.5*#3);
\coordinate (-bottom center) at (.5*#1,0,-.5*#3);
\coordinate (-front center) at (.5*#1,.5*#2,0);
\coordinate (-rear center) at (.5*#1,.5*#2,-#3);
% center of the cuboid
\coordinate (-center) at (.5*#1,.5*#2,-.5*#3);
% centers of the 12 edges
\path (0,#2,-.5*#3) coordinate (-left top center)
coordinate (-top left center);
\path (.5*#1,#2,-#3) coordinate (-top rear center)
coordinate (-rear top center);
\path (#1,#2,-.5*#3) coordinate (-right top center)
coordinate (-top right center);
\path (.5*#1,#2,0) coordinate (-top front center)
coordinate (-front top center);
\path (0,0,-.5*#3) coordinate (-left bottom center)
coordinate (-bottom left center);
\path (.5*#1,0,-#3) coordinate (-bottom rear center)
coordinate (-rear bottom center);
\path (#1,0,-.5*#3) coordinate (-right bottom center)
coordinate (-bottom right center);
\path (.5*#1,0,0) coordinate (-bottom front center)
coordinate (-front bottom center);
\path (0,.5*#2,0) coordinate (-left front center)
coordinate (-front left center);
\path (0,.5*#2,-#3) coordinate (-left rear center)
coordinate (-rear left center);
\path (#1,.5*#2,0) coordinate (-right front center)
coordinate (-front right center);
\path (#1,.5*#2,-#3) coordinate (-right rear center)
coordinate (-rear right center);
\end{scope}
}
\tikzset{
pics/cuboid/.style = {
setup code = \tikz@lib@cuboid@setup,
background code = \tikz@lib@cuboid@draw#1\pgf@stop
},
pics/cuboid/.default={1--1--1},
cuboid/.is family,
cuboid,
all faces/.style={fill=white},
all grids/.style={draw=none},
front face/.style={},
front grid/.style={},
right face/.style={},
right grid/.style={},
top face/.style={},
top grid/.style={},
edges/.style={},
hidden edges/.style={draw=none},
xangle/.initial=0,
yangle/.initial=90,
zangle/.initial=210,
xscale/.initial=1,
yscale/.initial=1,
zscale/.initial=0.5
}
\newcommand{\tikzcuboidreset}{
\tikzset{cuboid,
all faces/.style={fill=white},
all grids/.style={draw=none},
front face/.style={},
front grid/.style={},
right face/.style={},
right grid/.style={},
top face/.style={},
top grid/.style={},
edges/.style={},
hidden edges/.style={draw=none},
xangle=-20,
yangle=90,
zangle=180,
xscale=1,
yscale=1,
zscale=0.5
}
}
\newcommand{\tikzcuboidset}{\@ifstar\tikzcuboidset@star\tikzcuboidset@nostar}
\newcommand{\tikzcuboidset@nostar}[1]{\tikzcuboidreset\tikzset{cuboid,#1}}
\newcommand{\tikzcuboidset@star}[1]{\tikzset{cuboid,#1}}
\makeatother
\begin{document}
\begin{tikzpicture}
\begin{scope}
\node[black, draw, very thick, shift={(0,1)}, minimum height=1cm, minimum width=2cm] (R) {\Large Reader};
\tikzcuboidset{hidden edges/.style={dashed}}
\pic[very thick,black] (cuboid) at (4,0,0) {cuboid=3--3--3};
\node[draw, red,fill=red,thick, minimum width=0.1cm, scale=0.75, minimum height=0.5cm,label={[font=\large,text=red]20:A}] (A) at ([shift={(-1, 1)}] cuboid-front center) {};
\node[draw, red,fill=red,thick, minimum width=0.1cm, scale=0.75, minimum height=0.5cm,label={[font=\large,text=red]-5:C}] (C) at ([shift={(-1, -0.5)}] cuboid-front center) {};
\node[draw, red,fill=red,thick, minimum width=0.1cm, scale=0.75, minimum height=0.5cm,label={[font=\large,text=red]90:B}] (B) at ([shift={(1, -.2)}] cuboid-front center) {};
\draw[-latex, dashed, blue, very thick] (R.east) -- (A) node[pos=0.5, above] {\large{$d_1$}};
\draw[-latex, dashed, blue, very thick] (R.east) -- (B) node[pos=0.4, above] {\large{$d_2$}};
\draw[-latex, dashed, blue, very thick] (R.east) -- (C) node[pos=0.5, below] {\large{$d_3$}};
\end{scope}
\begin{scope}[shift={(0,-5)}]
\node[black, draw, very thick, shift={(0,1)}, minimum height=1cm, minimum width=2cm] (R) {\Large Reader};
\tikzcuboidset{hidden edges/.style={dashed}}
\pic[very thick,black] (cuboid) at (4,0,0) {cuboid=3--1.3--6};
\node[draw, red,fill=red,thick, minimum width=0.1cm, scale=0.75, rotate =90, minimum height=0.5cm,label={[font=\large,text=red]20:A}] (A) at ([shift={(-1, -0)}] cuboid-top center) {};
\end{scope}
\end{tikzpicture}
\end{document}
结果如下图所示
我已经使用了之前帖子的解决方案TikZ:轻松绘制长方体。
但是,矩形 A、B 和 C 不具有长方体侧面的透视。此外,在长方体的底部很难将这些矩形放置在长方体的顶面上。
并且,在第二个长方体中,我想要一个像图中这样的位置:
这是我想要制定的方案。
另外,我不明白长方体的尺寸。顶部长方体是{cuboid=3--3--3}
,第二个长方体是{cuboid=3--1.3--6}
,我不确定这两个长方体是否相同,只是相对于的位置不同Reader
。
答案1
对于长方体来说,这有很多代码和坐标。
然而,您需要的是一个位于长方体某一面上的坐标系。
在这个例子中,所有红色矩形都在正面,因此我安装了一个坐标系,其原点在左下角,X到右下角是移到左上角。
cuboid face
当给定具有给定长方体的图片名称时,键会执行以下任务:
\tikzset{
cuboid face/.style={
shift=(#1-left bottom front),
x=(#1-right bottom front),
y=(#1-left top front),
canvas is xy plane at z=0,
}
}
当然,您可以为所有六个面创建这些键,但我无法真正遵循命名方案。
代码
\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{3d}
\makeatletter
\def\tikz@lib@cuboid@get#1{\pgfkeysvalueof{/tikz/cuboid/#1}}
\def\tikz@lib@cuboid@setup{%
\pgfmathsetlengthmacro{\vxx}%
{\tikz@lib@cuboid@get{xscale}*cos(\tikz@lib@cuboid@get{xangle})*1cm}
\pgfmathsetlengthmacro{\vxy}%
{\tikz@lib@cuboid@get{xscale}*sin(\tikz@lib@cuboid@get{xangle})*1cm}
\pgfmathsetlengthmacro{\vyx}%
{\tikz@lib@cuboid@get{yscale}*cos(\tikz@lib@cuboid@get{yangle})*1cm}
\pgfmathsetlengthmacro{\vyy}%
{\tikz@lib@cuboid@get{yscale}*sin(\tikz@lib@cuboid@get{yangle})*1cm}
\pgfmathsetlengthmacro{\vzx}%
{\tikz@lib@cuboid@get{zscale}*cos(\tikz@lib@cuboid@get{zangle})*1cm}
\pgfmathsetlengthmacro{\vzy}%
{\tikz@lib@cuboid@get{zscale}*sin(\tikz@lib@cuboid@get{zangle})*1cm}
}
\def\tikz@lib@cuboid@draw#1--#2--#3\pgf@stop{%
\begin{scope}[join=bevel,x={(\vxx,\vxy)},y={(\vyx,\vyy)},z={(\vzx,\vzy)}]
% first fill the faces with global and individual style
% then draw the grids
\begin{scope}[canvas is yz plane at x=#1]
\draw[cuboid/all faces,cuboid/edges,cuboid/right face]
(0,0) -- ++(#2,0) -- ++(0,-#3) -- ++(-#2,0) -- cycle;
\draw[cuboid/all grids,cuboid/right grid] (0,0) grid (#2,-#3);
\end{scope}
\begin{scope}[canvas is xy plane at z=0]
\draw[cuboid/all faces,cuboid/edges,cuboid/front face]
(0,0) -- ++(#1,0) -- ++(0,#2) -- ++(-#1,0) -- cycle;
\draw[cuboid/all grids,cuboid/front grid] (0,0) grid (#1,#2);
\end{scope}
\begin{scope}[canvas is xz plane at y=#2]
\draw[cuboid/all faces,cuboid/edges,cuboid/top face]
(0,0) -- ++(#1,0) -- ++(0,-#3) -- ++(-#1,0) -- cycle;
\draw[cuboid/all grids,cuboid/top grid] (0,0) grid (#1,-#3);
\end{scope}
% now, draw the hidden edges
\draw[cuboid/hidden edges] (0,#2,-#3) -- (0,0,-#3) -- (0,0,0)
(0,0,-#3) -- ++(#1,0,0);
% finally, draw the visible edges
\begin{scope}[canvas is yz plane at x=#1]
\draw[cuboid/all faces,cuboid/right face,cuboid/edges,fill opacity=0]
(0,0) -- ++(#2,0) -- ++(0,-#3) -- ++(-#2,0) -- cycle;
\end{scope}
\begin{scope}[canvas is xy plane at z=0]
\draw[cuboid/all faces,cuboid/front face,cuboid/edges,fill opacity=0]
(0,0) -- ++(#1,0) -- ++(0,#2) -- ++(-#1,0) -- cycle;
\end{scope}
\begin{scope}[canvas is xz plane at y=#2]
\draw[cuboid/all faces,cuboid/top face,cuboid/edges,fill opacity=0]
(0,0) -- ++(#1,0) -- ++(0,-#3) -- ++(-#1,0) -- cycle;
\end{scope}
% define the anchors: 8 vertices
\path (0,#2,0) coordinate (-left top front)
coordinate (-left front top)
coordinate (-top left front)
coordinate (-top front left)
coordinate (-front top left)
coordinate (-front left top);
\path (0,#2,-#3) coordinate (-left top rear)
coordinate (-left rear top)
coordinate (-top left rear)
coordinate (-top rear left)
coordinate (-rear top left)
coordinate (-rear left top);
\path (0,0,-#3) coordinate (-left bottom rear)
coordinate (-left rear bottom)
coordinate (-bottom left rear)
coordinate (-bottom rear left)
coordinate (-rear bottom left)
coordinate (-rear left bottom);
\path (0,0,0) coordinate (-left bottom front)
coordinate (-left front bottom)
coordinate (-bottom left front)
coordinate (-bottom front left)
coordinate (-front bottom left)
coordinate (-front left bottom);
\path (#1,#2,0) coordinate (-right top front)
coordinate (-right front top)
coordinate (-top right front)
coordinate (-top front right)
coordinate (-front top right)
coordinate (-front right top);
\path (#1,#2,-#3) coordinate (-right top rear)
coordinate (-right rear top)
coordinate (-top right rear)
coordinate (-top rear right)
coordinate (-rear top right)
coordinate (-rear right top);
\path (#1,0,-#3) coordinate (-right bottom rear)
coordinate (-right rear bottom)
coordinate (-bottom right rear)
coordinate (-bottom rear right)
coordinate (-rear bottom right)
coordinate (-rear right bottom);
\path (#1,0,0) coordinate (-right bottom front)
coordinate (-right front bottom)
coordinate (-bottom right front)
coordinate (-bottom front right)
coordinate (-front bottom right)
coordinate (-front right bottom);
% centers of the 6 faces
\coordinate (-left center) at (0,.5*#2,-.5*#3);
\coordinate (-right center) at (#1,.5*#2,-.5*#3);
\coordinate (-top center) at (.5*#1,#2,-.5*#3);
\coordinate (-bottom center) at (.5*#1,0,-.5*#3);
\coordinate (-front center) at (.5*#1,.5*#2,0);
\coordinate (-rear center) at (.5*#1,.5*#2,-#3);
% center of the cuboid
\coordinate (-center) at (.5*#1,.5*#2,-.5*#3);
% centers of the 12 edges
\path (0,#2,-.5*#3) coordinate (-left top center)
coordinate (-top left center);
\path (.5*#1,#2,-#3) coordinate (-top rear center)
coordinate (-rear top center);
\path (#1,#2,-.5*#3) coordinate (-right top center)
coordinate (-top right center);
\path (.5*#1,#2,0) coordinate (-top front center)
coordinate (-front top center);
\path (0,0,-.5*#3) coordinate (-left bottom center)
coordinate (-bottom left center);
\path (.5*#1,0,-#3) coordinate (-bottom rear center)
coordinate (-rear bottom center);
\path (#1,0,-.5*#3) coordinate (-right bottom center)
coordinate (-bottom right center);
\path (.5*#1,0,0) coordinate (-bottom front center)
coordinate (-front bottom center);
\path (0,.5*#2,0) coordinate (-left front center)
coordinate (-front left center);
\path (0,.5*#2,-#3) coordinate (-left rear center)
coordinate (-rear left center);
\path (#1,.5*#2,0) coordinate (-right front center)
coordinate (-front right center);
\path (#1,.5*#2,-#3) coordinate (-right rear center)
coordinate (-rear right center);
\end{scope}
}
\tikzset{
pics/cuboid/.style = {
setup code = \tikz@lib@cuboid@setup,
background code = \tikz@lib@cuboid@draw#1\pgf@stop
},
pics/cuboid/.default={1--1--1},
cuboid/.is family,
cuboid,
all faces/.style={fill=white},
all grids/.style={draw=none},
front face/.style={},
front grid/.style={},
right face/.style={},
right grid/.style={},
top face/.style={},
top grid/.style={},
edges/.style={},
hidden edges/.style={draw=none},
xangle/.initial=0,
yangle/.initial=90,
zangle/.initial=210,
xscale/.initial=1,
yscale/.initial=1,
zscale/.initial=0.5}
\newcommand{\tikzcuboidreset}{
\tikzset{cuboid,
all faces/.style={fill=white},
all grids/.style={draw=none},
front face/.style={},
front grid/.style={},
right face/.style={},
right grid/.style={},
top face/.style={},
top grid/.style={},
edges/.style={},
hidden edges/.style={draw=none},
xangle=-20,
yangle=90,
zangle=180,
xscale=1,
yscale=1,
zscale=0.5}}
\newcommand{\tikzcuboidset}{\@ifstar\tikzcuboidset@star\tikzcuboidset@nostar}
\newcommand{\tikzcuboidset@nostar}[1]{\tikzcuboidreset\tikzset{cuboid,#1}}
\newcommand{\tikzcuboidset@star}[1]{\tikzset{cuboid,#1}}
\makeatother
\tikzset{
cuboid face/.style={
shift=(#1-left bottom front),
x=(#1-right bottom front),
y=(#1-left top front),
canvas is xy plane at z=0,
}
}
\begin{document}
\begin{tikzpicture}
\node[black, draw, very thick, shift={(0,1)}, minimum height=1cm, minimum width=2cm] (R) {\Large Reader};
\tikzcuboidset{hidden edges/.style={dashed}}
\pic[very thick,black] (cuboid) at (4,0,0) {cuboid=3--3--3};
\foreach[count=\i] \p/\t in {(.3, .1)/A, (.7, .6)/B, (.25, .7)/C}
\fill[red, cuboid face=cuboid] \p rectangle coordinate (\t) +(.05,.1) coordinate (@)
(\t) node[above, scale=.4, transform shape] at (\t|-@) {\t}
(R.east) edge[blue, dashed, very thick, -latex] node[above]{$d_\i$} (\t);
\end{tikzpicture}
\end{document}