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如何在 tikz 3dplot 中顯示立方體的旋轉方向

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如何在 tikz 3dplot 中顯示立方體的旋轉方向

我嘗試製作兩端都有頭的半圓形箭頭。它們都應該以 O 為中心。 它們應該標記繪製的立方體的旋轉方向。例如，一個半圓形箭頭將從 S1 開始，接觸 S2，並在 S3 結束。所以總共應該有 6 個箭頭。

我現在嘗試了兩個小時，但沒有獲得“arc”的功能。我得到的只是在此輸入影像描述

有人可以提供我如何到達我想去的地方的提示或解決方案嗎？

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{adjustbox}
\usetikzlibrary{calc}

\begin{document}
\trimbox{6.8cm 0cm 0cm 0cm}{
\tdplotsetmaincoords{0}{0}
\tdplotsetrotatedcoords{60}{70}{35}%
\begin{tikzpicture}
    [tdplot_rotated_coords,
        cube/.style={black},
        arr/.style={-latex,color=green!70,thick,line cap=round,shorten <= 1.5pt}]

\coordinate (A1) at (0,0,0);
\coordinate (A2) at (0,1,0);
\coordinate (A3) at (1,1,0);
\coordinate (A4) at (1,0,0);
\coordinate (B1) at (0,0,1);
\coordinate (B2) at (0,1,1);
\coordinate (B3) at (1,1,1);
\coordinate (B4) at (1,0,1);
\coordinate (O) at ($(A1)!0.5!(B3)$);
\coordinate (S1) at ($(A1)!0.5!(B2)$);
\coordinate (S2) at ($(B2)!0.5!(A3)$);
\coordinate (S3) at ($(A3)!0.5!(B4)$);
\coordinate (S4) at ($(B4)!0.5!(A1)$);
\coordinate (S5) at ($(B1)!0.5!(B3)$);
\coordinate (S6) at ($(A1)!0.5!(A3)$);

\draw[cube] (B1) -- (B2) -- (B3) -- (B4) -- cycle;
\draw[cube] (A2) -- (B2);
\draw[cube] (A3) -- (B3);


\begin{scope}[canvas is zy plane at x=0]
\draw[arr] (0:0.5) arc (90:0:-0.5) ;
\draw[arr] (0:0.5) arc (-180:0:-0.5) ;
\end{scope}

\begin{scope}[canvas is zx plane at y=0]
\draw[arr] (0:0.5) arc (180:0:-0.5) ;
\draw[arr] (0:0.5) arc (-180:0:-0.5) ;
\end{scope}

\begin{scope}[canvas is yx plane at z=0]
\draw[arr] (0:0.5) arc (180:0:-0.5) ;
\draw[arr] (0:0.5) arc (-180:0:-0.5) ;
\end{scope}

\draw[cube] (A1) -- (A2) -- (A3) -- (A4) -- cycle;
\draw[cube] (A1) -- (B1);
\draw[cube] (A4) -- (B4);

\end{tikzpicture}}

\end{document}

答案1

(O) +如果您採納 John Kormylo 的建議並使用... 作為起始座標並將第一個圓弧固定為從 180 度而不是 90 度開始，您的原始程式碼實際上非常接近您的要求。

不幸的是，生成的圖表非常混亂，並且（在我看來）很難在 3D 中正確解釋弧線。可能有幫助的一件事是使用雙線來強化這樣的想法：您的某些線位於其他線的“前面”。我還添加了bending庫，這使得箭頭看起來不那麼尷尬，並將箭頭沿著各自的圓圈放置，這樣它們就不會全部指向同一個地方。

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{adjustbox}
\usetikzlibrary{calc, arrows.meta}
\usetikzlibrary{bending}

\begin{document}
\trimbox{6.8cm 0cm 0cm 0cm}{
\tdplotsetmaincoords{0}{0}
\tdplotsetrotatedcoords{60}{70}{35}%
\begin{tikzpicture}[
      tdplot_rotated_coords,
      cube/.style={white, double=black, double distance=.1mm, join=bevel},
      arr/.style={-{latex[color=green!70]},
        white, double=green!70, shorten <= 1pt, shorten >=1pt
      }
    ]

\coordinate (A1) at (0,0,0);
\coordinate (A2) at (0,1,0);
\coordinate (A3) at (1,1,0);
\coordinate (A4) at (1,0,0);
\coordinate (B1) at (0,0,1);
\coordinate (B2) at (0,1,1);
\coordinate (B3) at (1,1,1);
\coordinate (B4) at (1,0,1);
\coordinate (O) at ($(A1)!0.5!(B3)$);
\draw[cube] (B1) -- (B2) -- (B3) -- (B4) -- cycle
  (A2) -- (B2)
  (A3) -- (B3);

% These must be drawn back to front
\draw[arr, canvas is zx plane at y=0] (O) +(0:0.5) arc (0:-180:0.5);
\draw[arr, canvas is yz plane at x=0] (O) +(0:0.5) arc (0:180:0.5);
\draw[arr, canvas is xy plane at z=0] (O) +(180:0.5) arc (180:0:0.5);
\draw[arr, canvas is xy plane at z=0] (O) +(180:0.5) arc (-180:0:0.5);
\draw[arr, canvas is yz plane at x=0] (O) +(0:0.5) arc (0:-180:0.5);
\draw[arr, canvas is zx plane at y=0] (O) +(0:0.5) arc (0:180:0.5);

\draw[cube] (A1) -- (A2) -- (A3) -- (A4) -- cycle
  (A1) -- (B1)
  (A4) -- (B4);

\end{tikzpicture}
}

\end{document}

旋轉立方體

答案2

我重新定義arr為兩個箭頭，並在 處添加了一個點(O)。

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{adjustbox}
\usetikzlibrary{calc}

\begin{document}
\trimbox{6.8cm 0cm 0cm 0cm}{
\tdplotsetmaincoords{0}{0}
\tdplotsetrotatedcoords{60}{70}{35}%
\begin{tikzpicture}
    [tdplot_rotated_coords,
        cube/.style={black},
        arr/.style={latex-latex,color=green!70,thick}]

\coordinate (A1) at (0,0,0);
\coordinate (A2) at (0,1,0);
\coordinate (A3) at (1,1,0);
\coordinate (A4) at (1,0,0);
\coordinate (B1) at (0,0,1);
\coordinate (B2) at (0,1,1);
\coordinate (B3) at (1,1,1);
\coordinate (B4) at (1,0,1);
\coordinate (O) at ($(A1)!0.5!(B3)$);
\coordinate (S1) at ($(A1)!0.5!(B2)$);
\coordinate (S2) at ($(B2)!0.5!(A3)$);
\coordinate (S3) at ($(A3)!0.5!(B4)$);
\coordinate (S4) at ($(B4)!0.5!(A1)$);
\coordinate (S5) at ($(B1)!0.5!(B3)$);
\coordinate (S6) at ($(A1)!0.5!(A3)$);

\draw[cube] (B1) -- (B2) -- (B3) -- (B4) -- cycle;
\draw[cube] (A2) -- (B2);
\draw[cube] (A3) -- (B3);

\fill (O) circle[radius=1pt];

\begin{scope}[canvas is zy plane at x=0]
\draw[arr] (O) +(90:0.5) arc (90:-90:0.5) ;
\end{scope}

\begin{scope}[canvas is zx plane at y=0]
\draw[arr] (O) +(90:0.5) arc (90:-90:0.5) ;
\end{scope}

\begin{scope}[canvas is yx plane at z=0]
\draw[arr] (O) +(90:0.5) arc (90:-90:0.5) ;
\end{scope}

\draw[cube] (A1) -- (A2) -- (A3) -- (A4) -- cycle;
\draw[cube] (A1) -- (B1);
\draw[cube] (A4) -- (B4);

\end{tikzpicture}}

\end{document}

示範

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