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I feel so bad.....missed National Fibonacci Day!

And now everyone should understand where and why for the most common tile sizes:

2" x 2" (shower floor)
3" x 3"
3" x 5" (subway)
8" x 8"
21" x 24"
 
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Fibonacci sequence used quite a bit in the technical analysis of markets.
 
In a very bizarre coincidence (or is it) some autistic kids, when they are arranging toys, etc into their preferred pattern, will arrange them in a Fibonacci sequence.

I remember when my younger son was very little, he loved arranging things like bath toys and would leave them scattered all over the house - I called it his Blair Witch Project like the scene with the wood things hanging from the trees in the movie.

Anyway, I noticed a pattern of like a rubber duck or whatever in yellow, then 2 red toys, then 3 purple toys, then 5 of some other color. He wouldn’t go higher - likely because I didn’t have 8 things of the same color. He’d get perturbed if you messed with the sequence. I went online and found Fibonacci and was floored - then did some more digging. The brain is an amazing thing
 
In a very bizarre coincidence (or is it) some autistic kids, when they are arranging toys, etc into their preferred pattern, will arrange them in a Fibonacci sequence.

I remember when my younger son was very little, he loved arranging things like bath toys and would leave them scattered all over the house - I called it his Blair Witch Project like the scene with the wood things hanging from the trees in the movie.

Anyway, I noticed a pattern of like a rubber duck or whatever in yellow, then 2 red toys, then 3 purple toys, then 5 of some other color. He wouldn’t go higher - likely because I didn’t have 8 things of the same color. He’d get perturbed if you messed with the sequence. I went online and found Fibonacci and was floored - then did some more digging. The brain is an amazing thing
Wow, that is amazing. Has anyone else with an autistic kid noticed the same thing? You should write to some autism specialists about this. Maybe it will lead to a better understanding of the spectrum and maybe even improved treatment.

It’s really strange how the sequence shows up on all sorts of things like the fronds a fern. Or a galaxy formations. Crystals. And no one has a clue as to why.
 
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Wow, that is amazing. Has anyone else with an autistic kid noticed the same thing? You should write to some autism specialists about this. Maybe it will lead to a better understanding of the spectrum and maybe even improved treatment.

It’s really strange how the sequence shows up on all sorts of things like the fronds a fern. Or a galaxy formations. Crystals. And no has a clue as to why.
Yeah, there are websites with other occurrences. There’s even an image of a young boy sleeping and he’s got animals in the sequence lined up on his bed. We always tell his neurologists about it and they don’t have an answer

The sequence in nature is definitely baffling - obviously there’s some link but it’s going to take some super genius like Newton to figure it out
 
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In a very bizarre coincidence (or is it) some autistic kids, when they are arranging toys, etc into their preferred pattern, will arrange them in a Fibonacci sequence.

I remember when my younger son was very little, he loved arranging things like bath toys and would leave them scattered all over the house - I called it his Blair Witch Project like the scene with the wood things hanging from the trees in the movie.

Anyway, I noticed a pattern of like a rubber duck or whatever in yellow, then 2 red toys, then 3 purple toys, then 5 of some other color. He wouldn’t go higher - likely because I didn’t have 8 things of the same color. He’d get perturbed if you messed with the sequence. I went online and found Fibonacci and was floored - then did some more digging. The brain is an amazing thing
That is fascinating.
 
That is fascinating.
I know, seriously. I don’t know how many times I just glanced at his arrangements and walked by until I thought to myself - why isn’t he going 1,2,3,4?

He’d arrange stuff all over the house - like the master bath. I’d put his toys away, but 2 days later the stuff would be back in pretty much the exact spot. I always liked it because it was a sign that my boy was there.
 
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In a very bizarre coincidence (or is it) some autistic kids, when they are arranging toys, etc into their preferred pattern, will arrange them in a Fibonacci sequence.

I remember when my younger son was very little, he loved arranging things like bath toys and would leave them scattered all over the house - I called it his Blair Witch Project like the scene with the wood things hanging from the trees in the movie.

Anyway, I noticed a pattern of like a rubber duck or whatever in yellow, then 2 red toys, then 3 purple toys, then 5 of some other color. He wouldn’t go higher - likely because I didn’t have 8 things of the same color. He’d get perturbed if you messed with the sequence. I went online and found Fibonacci and was floored - then did some more digging. The brain is an amazing thing
Amazing, thanks for sharing.

My adult son is mildly autistic, I never noticed this particular type of behavior as he was growing up. But I will certainly watch for it now in my young nephew who is also autistic.
 
Also, I have personal nostalgia for the Fibonacci sequence. I recall one of our very first assignments in my high school programming class was to display it on the old Apple IIe.
 
Yeah, there are websites with other occurrences. There’s even an image of a young boy sleeping and he’s got animals in the sequence lined up on his bed. We always tell his neurologists about it and they don’t have an answer

The sequence in nature is definitely baffling - obviously there’s some link but it’s going to take some super genius like Newton to figure it out
it’s going to take some super genius like Newton to figure it out

I'll let you know if I come up with anything. ;)
 
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In chaos theory, which is really mathematical instability theory (study of the onset of turbulence in fluid flow, and a host of other natural phenomenon) Fibonacci series is found.

I am no expert, having had one course a long time ago.

But many complex patterns we see in nature are described by a relatively simple set of equations. But those unstable equations, when solved, lead to a variety of detail that, at first glance, seems way too complicated to be explained by the few terms in the equations.

Fibonacci sequence is commonly involved in the solution of those differential equations, and thus, seemingly out of nowhere, Fibonacci sequence appears in nature.
 
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