365: Dare to say Coincidence?

[Guille]

The number 365 is a special number. I believe there must have been a reason for it to be the number of days in an Earth year.

Let's look at why it's special. It is mathematically special because for how small it is as a numbe,r it can be expressed as the sum of many, many different sqaures. Here is a list of a few that I have discovered:
365=2^+19^2
365=1^2+3^2+7^2+9^2+15^2
365=4^2+5^2+18^2
365=3^2+6^2+8^2+16^2

It can also be expressed as the sum of consecutive nubmers, such as:
365=71+72+73+74+75
365=121+122+123-1

A very special way of getting the number, is by the sum of the sqaures of the first 6 even numbers and unity:
365=1^2+2^2+4^2+6^2+8^2+10^2+12^2

Another very special propertyis that it is the smallest number that can be obtained by the sum of consecutives squares in two different ways:
365=10^2+11^2+12^2
365=13^2+14^2

So, with all these and even more mathematical beauty, how come it isn't part of our mathematics in understanding the universe? I believe thsi nubmer is much more than the nubmer of day sin an Earth year. The earth is not improtant at all for the univers,e it's insignificant. So I think 365 has more than that.

What do you think? Do you have another property of the number 365? Any other comment?

[AntonioLao]

The earth is not improtant at all for the univers,e it's insignificant. So I think 365 has more than that.

Although the earth is not that important as a planet in the Solar System, it is the only one with carbon based life forms.

[dleviwing]

Coincidence

[Guille]

Although the earth is not that important as a planet in the Solar System, it is the only one with carbon based life forms.

It is the only one with carbon based life forms known to humans!

There is a big difference between what there is and what we know.

Anway, what do you think about the number itself, about 365 and it's properties?

[Guille]

Coincidence

ha, ha, ha...

Mathematical porpetrties are NEVER coincidence, they are always justfyed/justifyable by mathematical processes of proof.

[dleviwing]

Guille;
You are basing your analysis on a base 10 number system.
Other number base systems would not produce the same result.
What if human life had 3 fingers on each hand rather than 10

There is no real significance to the number 365. The cycle is 365.25 when carried out to 2 decimal places. If you also consider that 1 day a year is contributed to the earths orbit around the sun, the number 365 becomes even more of a coincident. The moon only has about 13 days every earth year.

Nice observation though.

[Guille]

Guille;
You are basing your analysis on a base 10 number system.
Other number base systems would not produce the same result.
What if human life had 3 fingers on each hand rather than 10

There is no real significance to the number 365. The cycle is 365.25 when carried out to 2 decimal places. If you also consider that 1 day a year is contributed to the earths orbit around the sun, the number 365 becomes even more of a coincident. The moon only has about 13 days every earth year.

Nice observation though.

I perfectly know since a few years ago that it's 365.25.

Still, I know that I am basing my analysis on a base 10 number system, don't you see that in a base n number system it doesn't matter what the actualy digits the 365 is now, what actually matters it the proportions, the properties, which are still there. Of course the human invented arrangement of human invented symbols such as 365 which arepart of a human invented language (math), is insignificanc,e but properties aren't.

Still, I didn't really meant the thread to be on why the earth's orbit is 365 (point whatever), I meant that, considering the idea that let's say, in the 21st century 10 new physical constants are discovered, it is much more probable that it's 365 than any random number with less properties (which are many), for the properties of this number would probably be part of why that number is teh constant it is.

[dleviwing]

Guille;
I was assuming you were placing a cosmic significance to the number, not just stating it was one of those unique mathematical sequences.
There are many such anomalies in our mathematical system.
Are you placing more significant to this one as opposed to the others?

[Guille]

Guille;
I was assuming you were placing a cosmic significance to the number, not just stating it was one of those unique mathematical sequences.
There are many such anomalies in our mathematical system.
Are you placing more significant to this one as opposed to the others?

No, but it is one of the most peculiar. And this is what makes me think that it could have the secret in it's properties, I am going to start a study on the repetition and placement of the numbers that add to it, etz, n nature, and if I see I get something enough ast o claim 365 is important, I will post it.

[AntonioLao]

what do you think about the number itself, about 365 and it's properties?

Its binary representative notation is 1 0 1 1 0 1 1 0 1. There seems to be a symmetry between left and right.