无轴的三维曲线

Question

我有以下设置：

\documentclass{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.12}
\usetikzlibrary{3d}
\begin{document}
\begin{tikzpicture}
    [x=1.2cm,y=1.2cm,z=0.5cm,scale=1.0,>=stealth]   
    % Grid
    \begin{scope}[canvas is xz plane at y=0]
        \draw [black!20] (-2.5,-2.5) grid (2.5,2.5);
    % Axis ticks
    \foreach \c in {1,2,...,2}
        {\node[] at (-\c,-0.4) {\footnotesize $-$\c};}
    \foreach \c in {1,2,...,2}
        {\node[] at (\c,-0.3) {\footnotesize \c};}
    \foreach \c in {1,2,...,2}
        {\node[] at (-0.3,-\c) {\footnotesize $-$\c};}
    \foreach \c in {1,2,...,2}
        {\node[] at (-0.3,\c) {\footnotesize \c};}
    \end{scope}

    % The axes
    \draw[->, thick] (xyz cs:x=-2.5) -- (xyz cs:x=2.5) node[right] {$x$};
    \draw[->] (xyz cs:z=-2.5) -- (xyz cs:z=2.5) node[above] {\small $y$};
    \draw[-] (xyz cs:y=-2.3) -- (xyz cs:y=2.3) node[above] {};

\end{tikzpicture}
\end{document}

我们可以画一个3D 曲线喜欢

\addplot3[variable=t,mesh,domain=0:1] (t^2,{ t*(1-t)}, 1-t);

但没有使用axis环境？也许有其他东西可以代替addplot3？

更新：我想到了：我们只需要draw + plot像这样使用

\draw[solid, red] plot[domain=-1:1, samples=200, smooth]
    ({\x*\x-1},{4*\x*cos(90*\x)},{-\x});

就这样 ：）