Scribbles the Weasel meets Fibonacci the Spiral
Scribbles the Weasel looked down the long ravine, deep into the canyon, a cannon filled with water and all kinds of shiny objects and weaselish things abound. "Now hows a weasles to gets downs to the bottoms of a ravines likes this?"
Looking around, Scribbles could see nothing but desert, desert, and more... Rope! "Ropes! Woos!" The tiny weasel cried out with joy, knowing that he could now use his nimble little paws to tie the rope up on one end and... Wait, what could he tie it to? Oh well, no sense worrying about that now. First, get the rope...
Running up to the rope, with his little legs making great bounds over the short distance, Scribbles started to notice something about the rope; It wasn’t jumbled or straight, it was a spiral, like a shell without the bits in between the spirally pieces. "...Oh wells. Is not caring." Scribbles muttered as he started to pick up the curled rope.
"Hey! You are ruining a perfect Fibonacci spiral here! You know how long it took me to get into this position?"
Scribbles jumped back as the rope started to talk. He’d heard some weird things in the world, especially after being in the desert for long period of times, but a talking rope took the cake of his hallucinations. "Whats is goings on? Ropes don’ts talks! Ands especiallies withouts a Britishs accents!" "
"I’m not an ordinary rope. I’m Fibonacci the Spiral... Sometimes Equilateral the Spiral too, but not often. I like being Fibonacci more. Now what on Earth do you think you’re doing picking me up?"
"Bottoms of the canyons! I want to gos down theres and gets the shinys things!"
"Well why didn’t you just ask then?" Fibonacci wrapped himself around Scribbles, and tied a knot on one end to keep Scribbles secure. The rope then found a secure stone to tie onto, and allowed himself to slowly slide down the cliff face, protecting Scribbles as they went.
As Scribble’s paws touched the ground, he felt Fibonacci loosening his grip on the little weasel.
"All off on ground level, where you will now see all kinds of shiny things, in the form of wet shells."
"Shells?!! I came alls the ways down for shells?!!"
Fibonacci laughed slightly. "To you, these are just shells, but to fellow Fibonaccians, these are math. You see Scribbles, I was imitating the perfect mathematical proportions that these shells all share."
Scribbles ran up to one of the shells, the soft sand running below his paws for a few seconds. "Waits a minute, how did shells get intos a deserts river?"
"That doesn’t matter right now Scribbles, what matters is that you understand why these shells are important. You see, they form a spiral on their inner shell, and they do have mathematical significance. It starts off with the number zero, the original point, and then one, and then one plus zero, which is one, then one plus one, then two plus one, then three plus two, and so on. This forms an unlimited amount of Fibonacci rectangles, which, when properly aligned, form a Fibonacci spiral, like this!" At the end of his speech, Fibonacci rolled himself into a perfect spiral once more, but this time did so standing completely straight so that Scribbles could see through the points in between the spiral.
"Scribbles, you should also know that the Fibonacci sequence can be found in other places throughout nature beyond shells. For example, some flowers have a perfect spiral. Also, the Fibonacci spiral is very heavily connected to the Golden ratio, a ratio that creates an infinite amount of smaller rectangles and spirals, in effect the opposite of the Fibonacci sequence. Do you know what a number line is Scribbles?"
"I’m a weasels! Whats do yous thinks?!!"
"Right, stupid question. Well, I’ll tell you then." Fibonacci moved himself into a completely straight line standing upwards, and then half way through the line he put a knot in himself. "The knot in the center is the number zero, the center point of a number line, and the central, or middle number, of all numbers."
Fibonacci then added more, smaller knots above the zero knot, about one centimeter apart from each other. "These are numbers larger than zero." The knots that belonged on the bottom end of the line then started to be formed. "And these are numbers smaller than zero. Now think of the Fibonacci sequence and the Golden ratio as a kind of special kind of number line. The higher up you go on the sequence from mid-point, the higher up your Fibonacci sequence goes. Now, although the Golden ratio is not a negative number, you can imagine that it becomes infinitely smaller, and the lower you go down the special number line (Which has only smaller decimals, not negatives) from the midpoint, the smaller your Golden ratio number will be. Do you understand?"
"Actuallys... No. Buts I cans takes your words fors it."
Fibonacci laughed once more as Scribbles ran off towards the water to get a drink. "Scribbles, I know you understand, and I know this because of why you are here. You think you are here to find shiny things, but you know deep down that you are here to learn. That’s why you wander everywhere, that’s why you are the only weasels I’ve run across that can talk or wander deserts and rain forests alike. You are a unique weasel, and from now on, you are my traveling companion. I’m going to show you everywhere that either a Fibonacci sequence or a Golden ratio can be seen, or at least as many as I can. So drink now, and then sleep and play with the shining shells, but in the morning, in the morning you are going to set off on a mathematical journey like you’ve never imagined."
"Oh, greats. First talkings ropes I run intos is a nerds and a loons!"
"And one that you know you want to follow. At least see if I’m any good as company."
"Fines, but if yous can’t keeps ups, don’ts blames me." With that, Scribbles curled up into something vaguely resembling a spiral, and went to sleep for the night, thinking of all the math the crazy rope was about to show him...
