Sunday, December 20, 2015

It is interesting to note that the Ancient Sumerians used a Sexagesimal (base 60) numeral system, and the number TWELVE was a key component of that system.
The number 60, a superior highly composite number, has twelve factors, namely {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}, of which 2, 3, and 5 are prime numbers.
Fascinating.
EDIT: Check out the date in the top right corner of the map: 12/12/12
[–]sheasie 3 puntos  
Check out the date in the top right corner of the map: 12/12/12
hahah that's awesome ;)
[–]dwoods04 2 puntos  
Might be total BS, but i heard somewhere that the base 12 counting system, i.e. a dozen of whatever, was due to our fingers. Using your thumb, you able to count to twelve easily on one hand. example, you have four fingers and each finger has three "soft spots" 3x4 =12.
[–]Amos_Quito 2 puntos  
Use the five digits on the other hand to count off each multiple of 12, (12-24-36-48-60) and you have your Sexagesimal (base 60) numeral system.
Handy!
[–]unportrait 8 puntos  
Apparently Tesla forgot how he normally signs his name ... pretty horrible hoax:
https://www.google.com/search?q=nikola+tesla+signature&ie=utf-8&oe=utf-8&gws_rd=cr&ei=bM1xVrmVJMG-UsHihsAI
[–]plughat 2 puntos  
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[–]sheasie 2 puntos  
interesting observation
[–]mythstified 2 puntos  
Yeah the font and the paper seem to be on a different 'plane'.. too crisp, especially for such an 'old' document.. why fake something like this? Otherwise a neat spiral
[–]luckinator 3 puntos  
The diagram itself is very intuitive, allowing students to see how numbers all work together based on a spiral with 12 positions. 12, or 12x (multiples of 12) is the most highly composite system, which is why we have 12 months in a year, 12 inches in a foot, 24 hours in a day, etc. 12 can be divided by 2, 3, 4, and 6. So can all multiples of 12. For every 12 numbers there is a chance of 4 numbers being prime. They happen to fall in positions (think clock positions) 5, 7, 11, and 1.
We should be using 12 as the base of our number system, not 10.
[–]mythstified 3 puntos  
Huh? Multiplying by 10 is much easier than by 12
[–]i_said_goodday_sir 7 puntos  
Multiplying by 10 is easy because 10 is the base. If the base was 12, then moving the decimal point would be a factor of 12.
0 1 2 3 4 5 6 7 8 9 a b
10 11 12 13 14 15 16 17 18 19 1a 1b
and so on.
2*10=20 would still be true, but we would associate 10 with twelve objects and 20 with with twenty-four objects due to the two extra digits represented by a and b here.
It's not a hard concept on paper but it's difficult in practice because we don't have names for these missing digits.
edit: numbers to digits for clarity
[–]Apoplectic1 3 puntos  
Only because we are used to a base 10 numbering system. If we grew up using a base 12 we'd doubtlessly think that multiplying by 12 would be easier than multiplying by 10.
[–]lemondrip 1 punto  
I think putting a 0 at the end would still be easier.
[–]Apoplectic1 1 punto  
You'd do the same exact thing in base 12 every twelve numbers. It's kind of like converting to binary: 0=0, 1=1, 2=10. Base 3, same thing: 0=0, 1=1, 2=2, 3=10 and so on.
[–]TR0LL_T0LL 0 puntos  
It would be different if we had 12 fingers
[–]DostThowEvenLift 3 puntos  
Playing around with 12's multiple also yields useful results. For instance, instead of 1/3 = .3333, in duodecimal (base 12), 1/3 = .4 and 1/4 shortens to .3.
[–]e546h45e6h54e 3 puntos  
Yup, American units are retarded... until you actually have to build something, then the advantages start showing.
[–]DiarrheaMonkey-[🍰] 3 puntos  
Why?
First of all, I assume you mean imperial which was used under the British.
Second of all imperial is a decimal system. Just because there are 12 inches in a foot does not mean we have the number twelvedy-five, or like Hobbits eleventy-one (1b5 or 1a1). It would probably be more convenient if it did, but it does not.
Finally, everyone who actually builds seriously complex things uses metric.
[–]thing_on_a_string 0 puntos  
Finally, everyone who actually builds seriously complex things uses metric.
except a lot of the US machinist industry, still happily using decimal inches.
its all about those expensive to replace dial gages on the QA/QC shelves.
[–]RRautamaa 5 puntos  
This is something that Tesla would've definitely played with, knowing his interests, but I see no reasons to believe this is genuine. You could make this in Paint from a stock "parchment" texture. It looks too regular to be a genuine late 19th century-early 20th century print. Also, this is cbsnews.com.co, or from Colombia. Not cbsnews.com.
Aside from that, the text itself is completely free of any substance. This is apparently a variant of the Ulam spiral. Presumably, Tesla could've discovered it before Ulam, but the concept has been certainly developed after this. The fact that the multiplication seems to produce patterns is a simple consequence of the period of the spiral itself. If you arrange numbers in a spiral with period 12, then 2, 3 and 4 will produce regular patterns, because 2 * 2 * 3 = 12. It doesn't really generate any new mathematical discovery. It's not even a conspiracy.
[–]vexstream 4 puntos  
[–]macredsmile[S] 1 punto  
Your website page is no longer there. I bet this guy copied tesla. That is probably why he took down his article.
[–]vexstream 2 puntos  
That it is, I only discovered this while I was looking to draw one for myself.
[–]macredsmile[S] 2 puntos  
I still like the idea of a base 12 number system.
[–]vexstream 2 puntos  
I've always liked base 8 better, I just find it easier to work with personally. It also just flows easier IMO, more pretty feeling.
[–]macredsmile[S] 2 puntos  
12 number systems from other languages.
http://m.mentalfloss.com/article.php?id=31879
[–]tttddd333 7 puntos  
but I see no reasons to believe this is genuine.
After looking at the wheel, it's absolutely genius and sets a geometric pattern to the multiplication table that isn't revealed in the normal square table I was taught in school. I've read a lot of Tesla's work and it seems to coincide with everything he was working on (discovering the geometric pattern of energy and how to harness it). It seems genuine to me.
Obviously, it could be forged but why would the creator not want his name on such a cool discovery? I don't see the motive for hoaxing a brand new take on an age old system.
[–]JoeBloggsNZ 3 puntos  
sets a geometric pattern to the multiplication table
Does that pattern hold if the numbers are expressed in a different base? Or is it just an artifact of how the "map" was laid out?
[–]tttddd333 2 puntos  
Does that pattern hold if the numbers are expressed in a different base?
It remains base 10 but the wheel has 12 numbers like a clock. The article explains why they pick 12 (the magic of 3, 6, 9).
[–]Aurvandel 2 puntos  
Does that pattern hold if the numbers are expressed in a different base? Or is it just an artifact of how the "map" was laid out?
It is an artifact of the base. 2 forms a hexagon because 12/2=6 points around the circumference. 3 forms a square because 12/3=4. 4 forms a triangle because 12/4=3. 5 and 7 form a mess because they don't divide evenly into 12. If the circle were base 15, 5 would form a triangle and 3 would form a pentagon.
[–]nonorat 2 puntos  
The drawings were discovered at an antique shop in central Phoenix Arizona by local artist, Abe Zucca.
I've not seen a single other source for this either.
[–]JoeBloggsNZ 2 puntos  
So what happens to this map if you express the numbers as base 8 or base 12 or any other base?
[–]RRautamaa 3 puntos  
Nothing really, because the numbers are determined by their position on the spiral.
[–]CelineHagbard 1 punto  
You would notice a lot more regularity in how the digits appeared. Taking a for decimal 10, and b for decimal 11, the rest of these numbers will be base 12:
Each "spoke" of the spiral will have the same digit in the ones position. The first spoke will be 1, 11, 21..., the 12th(decimal) or b(base 12) position will be 10, 20, 30...
In base 10, all numbers that end in 2,4,6,8,0 are divisible by 2; all numbers that end in 5 or 0 are divisible by 5; and all numbers that end in 0 are divisible by 10.
In base 12, we get more of these. All numbers that end in 2,4,6,8,a,0 are divisible by 2; all numbers that end in 3,6,9,0 are divisible by 3; all numbers that end in 4,8,0 are divisible by 4; all numbers that end in 6 or 0 are divisible by 6, and all numbers that end in 0 are divisible by 12. In addition, numbers divisible by 8 will only end in 4,8,0 and numbers divisible by 9 will only end in 3,6,9,0.
This is true of numbers in general in base 12, but this map will express it graphically.
[–]jarxlots 2 puntos  
The manuscript is thought to contain many solutions to unanswered questions about mathematics.
Bollocks. That's simply graphing the patterns in the natural integers. Not exceptional, not new information. Probably a hoax.
[–]tttddd333 2 puntos  
That's simply graphing the patterns in the natural integers.
If the prime numbers can be found by following the spiral created by 5 and 7, then that is, in fact, a new way to find primes.
[–]jarxlots 3 puntos  
You can find some primes and some composites, using that method. Lots of primes are missed in just the illustrated diagram, as is. The spiral method would also miss a few, then more, primes.
We've tried countless methods for accurately predicting primes, and we have some awesome methods, until numbers start getting cryptographically large.
[–]HulaguKan 1 punto  
Stupid and fake bullshit, "Tesla".
Just a normal day here...
[–]mythstified 3 puntos  
[–]tttddd333 2 puntos  
THANK YOU
[–]RRautamaa -1 puntos  
You obviously don't know what "resolution" means. You can't blow up a low-resolution image to make a high-resolution image. A low-resolution image simply doesn't have that information.
[–]mythstified 3 puntos  
Are you an idiot? This is a different picture of it.
[–]RRautamaa -2 puntos  
That's irrelevant. It's a blown-up version of a low-resolution image. Fake is fake, even if it's better than in the article. There is nothing that would aid in confirming it's actually a scan of an old document, quite the opposite.
[–]mythstified 4 puntos  
I'm not claiming that, just showing another version that's more readable
[–]vexstream 0 puntos  
Crossposting from /r/wtf:
This isn't Tesla's work. I was interested, so I did some digging. Turns out it's some teacher called Joey Grether, who came up with it while working on a system for teaching children. Original, website, article.
Also, CBS news has reported on this. Zero fact checking at all, and if you look at the image it's pretty obviously not hand-drawn.
Regardless, it's pretty damn interesting, but not Tesla's.

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