This equation:

122 + 542 + 695 = 211 + 364 + 784

… remains valid when the digits of each term are permuted in the same way:

122 + 542 + 695 = 211 + 364 + 784
122 + 524 + 659 = 211 + 346 + 748
212 + 452 + 965 = 121 + 634 + 874
221 + 425 + 956 = 112 + 643 + 847
212 + 254 + 569 = 121 + 436 + 478
221 + 245 + 596 = 112 + 463 + 487

And everything above remains valid if you square each term.

(Discovered by Albert Gloden.)