I threw my students for a bit of a loop this week. I started by asking them what an artist typically does when he’s done with a painting. After a couple of tries, I got the answer I was looking for: “he signs it.” Then I asked the follow-up question: when God was finished creating the world, do you think He signed His creation? Or, at the very least, did He leave us clues about who the Artist was?
Nobody said anything. I got some wide eyes, some blank stares… finally, a hand or two went up, and I got a couple of “I don’t think so” type answers…
“Let’s come back to that question in a few minutes,” I said. “First, I want to talk about some numbers…”
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89….
“Anyone see the pattern?”
A few kids had already seen this, so some hands shot up. It’s the Fibonacci series, discovered by the 12th century mathematician Leonardo Fibonacci. You start with 0 and 1, and you get each successive number by adding together the previous two numbers. So 0 + 1 = 1, 1 + 1 = 2, 1 + 2= 3, etc. It goes on forever. But other than being a cool pattern, why are these numbers important?
What my kids didn’t know is that the Fibonacci numbers show up all over the place in nature. For instance, the Fibonacci numbers can be used to create a curved shape that is found in sea shells, sea horse tails, the shape of your inner-ear… In the plant world, there are many species that have spirals which, if counted in one direction, will add up to one Fibonacci number, but counted in a different direction they add up to the very next number in the Fibonacci series. For a lot of pine cones, this means 5 one way, then 8 the other. In sunflowers, you get a lot of 34 one way, then 55 the other…
And all of this might seem like sheer coincidence… except that the Fibonacci numbers are also artistically beautiful. You see, if you divide a Fibonacci number by the one immediately before it (say, for instance, 55 divided by 34), you get a number that approximates the “Golden Ratio.” This ratio–which is about equal to 1.618– has been known to artists and architects for thousands of years. Many of the great masters have noted that the Golden Ratio is incredibly pleasing to the human eye, and you can find it in such works as the Mona Lisa, the pyramids of Egypt, etc. And the farther along the Fibonacci series you get, the closer the approximation is to the Golden Ratio of 1.618…
So it would seem that, whoever it was that included Fibonacci numbers all over the place in nature wasn’t just a great scientist… He’s an amazing artist as well.
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“Of God and Math…”
Nothing to add really, just thought it interesting.