3×3×3陣列 繪出示意圖

hbghlyj

en.wikipedia.org/wiki/Levi-Civita_symbol
\begin{aligned}\varepsilon _{\color {BrickRed}{1}\color {Violet}{3}\color {Orange}{2}}=-\varepsilon _{\color {BrickRed}{1}\color {Orange}{2}\color {Violet}{3}}&=-1\\\varepsilon _{\color {Violet}{3}\color {BrickRed}{1}\color {Orange}{2}}=-\varepsilon _{\color {Orange}{2}\color {BrickRed}{1}\color {Violet}{3}}&=-(-\varepsilon _{\color {BrickRed}{1}\color {Orange}{2}\color {Violet}{3}})=1\\\varepsilon _{\color {Orange}{2}\color {Violet}{3}\color {BrickRed}{1}}=-\varepsilon _{\color {BrickRed}{1}\color {Violet}{3}\color {Orange}{2}}&=-(-\varepsilon _{\color {BrickRed}{1}\color {Orange}{2}\color {Violet}{3}})=1\\\varepsilon _{\color {Orange}{2}\color {Violet}{3}\color {Orange}{2}}=-\varepsilon _{\color {Orange}{2}\color {Violet}{3}\color {Orange}{2}}&=0\end{aligned}如何用Mathematica繪出示意圖

hbghlyj

Export["animated.gif", Table[Image3D[    Normal[LeviCivitaTensor[3]] /. {0 -> GrayLevel[       0.07315883, 0.0311163], -1 -> RGBColor[0, 1, 0],      1 -> RGBColor[1, 0.5, 0]}, ImageSize -> 300,    ViewVector -> {1.5 + 4 Sin[t], 1.5 + 4 Cos[t], 1.5}], {t, 0.01,    2 Pi, 0.2 Pi}], "DisplayDurations" -> .2] Copy the Code