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Palindromes
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Palindromes are phrases that can be read from left to right or right to left, such as: "Never odd or even". Most English palindromes usually require some flexibility on the part of the reader because, while the correct sequence of characters is there, the spacing may not be. A different type of palindrome, called a word-unit palindrome, does not require the reader to reverse the letters of each word, treating each word as unit instead. An example is "Fall leaves after leaves fall". Because of the nature of Chinese characters, all Chinese palindromes are word-unit palindromes.
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Plot Summary: "Palindromes" is a fable of innocence: 13-year-old Aviva Victor wants to be a Mom. She does all she can to make this happen, and comes very close to succeeding, but in the end her plan is thwarted by her sensible parents (Ellen Barkin and Richard Masur). So she runs away, still determined to get pregnant one way or another, but instead finds herself lost in another world, a less sensible one, perhaps, but one pregnant itself with all sorts of strange possibility. Like so many trips, this one is round-trip, and it’s hard to say in the end if she can ever be quite the same again, or if she can ever be anything but the same again.
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While Todd Solondz has always had his critics, the confounding Palindromes has inspired them to new levels of vitriol. In addition to Solondz' usual obsessions (social ostracism, the more unpleasant aspects of human sexuality, pedophilia), Solondz here engages abortion (complete with a dumpster full of discarded fetuses). Palindromes has the feel of a queasy fairy tale.
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Palindromes ... exist in math. It is not clear who was the first to observe the following phenomenon: Palindromes can be formed from almost any number that is not a palindrome by adding the original number to its reverse form. For example, 47 is not a palindrome. If you add 47 + 74 (the reverse of the original number), you get 121, which is a palindrome.
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Palindromes date back at least to 79 A.D., as the palindromic Latin word square "Sator Arepo Tenet Opera Rotas" was found as a graffito at Herculaneum, buried by ash in that year. This palindrome is remarkable for the fact that it ... reproduces itself if one forms a word from the first letters, then the second letters and so forth. Hence it can be arranged into a word square that reads in eight different ways: horizontally or vertically from top left to bottom right; horizontally or vertically from bottom right to top left; horizontally or vertically from top right to bottom left; and horizonally or vertically from bottom left to top right.
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Palindromes can ... be found in nature, for example in biology, palindrome sequences are required for recombination of the DNA molecules. Also in mathematics, there is a theorem (and proof) that all numerical palindromes with an even number of digits are divisible by 11. The proof can be found in [9].
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Palindromes