Explanation
Over the centuries there were many attempts to explain this sequence. Some basic elements are obvious: each symbol is paired with an "upside-down" neighbor, except for 1, 27, 29, and 61 which are "vertically" symmetrical and paired with "inversed" neighbors.
Its combinatorial mathematical basis was reportedly explained for the first time in 2006.
Read more about this topic: King Wen Sequence
Famous quotes containing the word explanation:
“Are cans constitutionally iffy? Whenever, that is, we say that we can do something, or could do something, or could have done something, is there an if in the offingsuppressed, it may be, but due nevertheless to appear when we set out our sentence in full or when we give an explanation of its meaning?”
—J.L. (John Langshaw)
“The explanation of the propensity of the English people to portrait painting is to be found in their relish for a Fact. Let a man do the grandest things, fight the greatest battles, or be distinguished by the most brilliant personal heroism, yet the English people would prefer his portrait to a painting of the great deed. The likeness they can judge of; his existence is a Fact. But the truth of the picture of his deeds they cannot judge of, for they have no imagination.”
—Benjamin Haydon (17861846)
“Young children constantly invent new explanations to account for complex processes. And since their inventions change from week to week, furnishing the correct explanation is not quite so important as conveying a willingness to discuss the subject. Become an askable parent.”
—Ruth Formanek (20th century)