I have this 3D plot in pgf but I have an issue with scaling. The points s_3 and s_4 should have the same length but they appear not: s_3 appears bigger than s_4 why?
\documentclass{standalone} % You can use article, report, or standalone \usepackage{tikz} \usepackage{pgfplots} \pgfplotsset{compat=newest} % Ensure compatibility with newer pgfplots features \begin{document} \begin{tikzpicture} \begin{axis}[ view={120}{30}, % Adjust the view angle axis lines=middle, xlabel={$ \phi_3(t) $}, ylabel={$ \phi_1(t) $}, zlabel={$ \phi_2(t) $}, xmin=-2, xmax=2, ymin=-2, ymax=2, zmin=-2, zmax=2, xtick=\empty, ytick=\empty, ztick=\empty, grid=major, width=14cm, height=14cm, axis line style={thick,->,>=latex}, % Add arrows to the positive axes axis equal, unit vector ratio=1 1 1, scale=1.2 ] % Plot the points \addplot3[only marks, blue, mark=*] coordinates { (0, 1.414, 0) % s1 = (sqrt(2), 0, 0) (0, 0, 1.414) % s2 = (0, sqrt(2), 0) (1, 0, -1.414) % s3 = (0, -sqrt(2), 1) (1, 1.414, 0) % s4 = (sqrt(2), 0, 1) }; % Labels for the points \node at (axis cs: 0, 1.414, 0.6) [blue, anchor=north] {$\mathbf{s}_1$}; \node at (axis cs: 0, 0, 1.6) [blue, anchor=west] {$\mathbf{s}_2$}; \node at (axis cs: 1, 0, -1.6) [blue, anchor=east] {$\mathbf{s}_3$}; \node at (axis cs: 0.7, 1.2, 0) [blue, anchor=north west] {$\mathbf{s}_4$}; \draw[ultra thick, blue] (axis cs:0,0,0) -- (axis cs: 0, 1.414, 0); \draw[ultra thick, blue] (axis cs:0,0,0) -- (axis cs: 0, 0, 1.414); \draw[ultra thick, blue] (axis cs:0,0,0) -- (axis cs: 1, 0, -1.414); \draw[ultra thick, blue] (axis cs:0,0,0) -- (axis cs: 1, 1.414, 0); \node at (axis cs: 0, 0.7, 0.2) {$\sqrt{2}$}; \node at (axis cs: 0, 0.2, 0.8) {$\sqrt{2}$}; \node at (axis cs: 0.2, -0.1, -1.2) {$\sqrt{3}$}; \node at (axis cs: 0.7, 0.6, 0) {$\sqrt{3}$}; \end{axis} \end{tikzpicture} \end{document} 
