WOLFRAM

Wolfram 语言与系统参考资料中心

可视化四阶数组

四阶数组可以通过投影到矩阵进行可视化. 在下面的例子中，暖色方块表示独立的分量，类似颜色的方块相同. 冷色方块是独立分量的负值，白色方块通过对称被强制为零.

Wolfram Language code: symmetries = {Symmetric[All], Symmetric[{1, 2}], {{2, 3, 4, 1}, -1}, Antisymmetric[{1, 2}], {Symmetric[{1, 2}], Antisymmetric[{3, 4}]}, {Antisymmetric[{1, 2}], Antisymmetric[{3, 4}], {Cycles[{{1, 3}, {2, 4}}], 1}}, Antisymmetric[All]};
Wolfram Language code: labels = Column /@ {{"Complete ", "Symmetry"}, {"Symmetric ", "in 1 pair"}, {"Anticyclic", "Symmetry"}, {"Antisymmetric ", "in 1 pair"}, {"1 Symmetric and ", "1 Antisymmetric Pair"}, {"Riemann", "Symmetry"}, {"Complete", "Antisymmetry "}};
Wolfram Language code: Manipulate[MatrixPlot@ArrayFlatten@Normal@Block[{c = 1}, SymmetrizedArray[_ :> c++, ConstantArray[dimension, 4], symmetry]], {{symmetry, Symmetric[All]}, Thread[symmetries -> labels], ControlType -> SetterBar}, {{dimension, 5}, Range[2, 8], ControlType -> SetterBar}]