By the way, the whole story of the "true cross" is ridiculous. Here is a quote from an article at http://www.gospel-mysteries.net/true-cross.html about how the true cross was supposedly discovered and identified:

"There are slightly different accounts of how the Empress determined which cross was the correct one. According to a book called the Acts of Judas Cyriacus, the crosses were laid (one at a time) on the coffin of a dead youth. The first two crosses had no effect, but the third one instantly brought the youth back to life, thereby proving itself to be the true cross. Another account, by the historian Rufinus, says that the test was performed on a dying woman, who was immediately restored to health when touched by the third cross."

But not only are all the existing pieces obvious fakes, but some Christians even believe that they have miraculous healing powers. The whole idea is absurd.