## Thursday, July 16, 2009

### Another Day...Another rug

Another fibonacci rug...that is.  What a great idea it was to use the fibonaccii sequence loosely in determining a pattern for looping the loopers together.

What is fibonacci you might ask?

In mathematics, the Fibonacci numbers are the following sequence of numbers:

$0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89, \ldots.$

By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two. Some sources omit the initial 0, instead beginning the sequence with two 1s.

In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation

$F_n = F_{n-1} + F_{n-2},\!\,$

with seed values

$F_0 = 0 \quad\text{and}\quad F_1 = 1.$

The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio".) Fibonacci's 1202 book Liber Abaciintroduced the sequence to Western European mathematics, although the sequence had been previously described in Indian mathematics