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PSTricks 3D 繪圖 — 調整參數

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PSTricks 3D 繪圖 — 調整參數

考慮以下程式碼：

\documentclass{article}

\usepackage{pst-solides3d}

\begin{document}

\psset{viewpoint = 15 -30 11, Decran = 10}
\begin{pspicture}[solidmemory](-8.25,-1)(5.3,2.05)
  \psSolid[object = point, args = 15.5 3 7.3, name = L]
  \psSolid[object = point, args = -55 2 3.5,  name = R]
  \psSolid[object = line, linecolor = red!50, linestyle = dashed, linewidth = 2pt, args = R L]
  \psSolid[object = parallelepiped, a = 6.0, b = 6.0, c = 6.5, RotZ = -15, fillcolor = blue!50, name = parallelepipedum, action = draw*](0 0 1.5)
  \multido{\iA = 0+1}{8}{%
    \psSolid[object = point, linecolor = black, definition = solidgetsommet, args = parallelepipedum \iA, name = C\iA]
   \psset{object = line, linecolor = darkgray!50, linestyle = dotted}
    \psSolid[args = L C\iA]
    \psSolid[args = R C\iA]
  }
  \psSolid[object = parallelepiped, a = 6.0, b = 6.0, c = 6.5, RotZ = -15, name = parallelipipidum, action = draw](0 0 1.5)
  \multido{\iB = 0+1}{4}{%
    \psSolid[object = point, definition = solidgetsommet, args = parallelipipidum \iB, name = Top\iB, action = none]
  }
  \psSolid[object = line, args = Top0 Top2]
  \psSolid[object = line, args = Top1 Top3]
  \psSolid[object = point, definition = solidcentreface, args = parallelipipidum 0]
\end{pspicture}

\end{document}

輸出

有人可以幫我調整參數，讓每對灰色虛線完美重疊在一起。

我已經嘗試了很長時間，但我仍處於黑暗之中。:(

我應該指出，所討論的參數是args = 15.5 3 7.3、args = -55 2 3.5和a = 6.0, b = 6.0, c = 6.5, RotZ = -15。 （兩個物件的a、b、c和的值RotZ應該相同。）

答案1

  1. 平行於地面的線的消失點位於視線水平，因此物體z的位置point需要等於z的值viewpoint。
  2. 指向水平角的直線的消失點theta位於x=tan(theta)*yv + xv，其中yv和xv是的x和y分量viewpoint。
  3. 消失點位於地平線上，即y=0。

因此，對於 的視點15 -30 11和 的長方體的旋轉-15 degrees，消失點位於23.04 0 11和-96.96 0 11：

\documentclass{article}

\usepackage{pst-solides3d}

\begin{document}

\psset{viewpoint = 15 -30 11, Decran = 6}
\begin{pspicture}[solidmemory](-8.25,-1)(5.3,2.05)
  \psSolid[object = point, args = 23.04 0 11, name = L]
  \psSolid[object = point, args = -96.96 0 11,  name = R]
  \psSolid[object = line, linecolor = red!50, linestyle = dashed, linewidth = 2pt, args = R L]
  \psSolid[object = parallelepiped, a = 8.0, b = 8.0, c = 8.5, RotZ = -15, fillcolor = blue!50, name = parallelepipedum, action = draw*](0 0 1.5)
  \multido{\iA = 0+1}{8}{%
    \psSolid[object = point, linecolor = black, definition = solidgetsommet, args = parallelepipedum \iA, name = C\iA]
   \psset{object = line, linecolor = darkgray!50, linestyle = dotted}
    \psSolid[args = L C\iA]
    \psSolid[args = R C\iA]
  }
  \psSolid[object = parallelepiped, a = 8.0, b = 8.0, c = 8.5, RotZ = -15, name = parallelipipidum, action = draw](0 0 1.5)
  \multido{\iB = 0+1}{4}{%
    \psSolid[object = point, definition = solidgetsommet, args = parallelipipidum \iB, name = Top\iB, action = none]
  }
  \psSolid[object = line, args = Top0 Top2]
  \psSolid[object = line, args = Top1 Top3]
  \psSolid[object = point, definition = solidcentreface, args = parallelipipidum 0]
\end{pspicture}

\end{document}

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