1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
Brilliant, isn’t it?
And finally, take a look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=123456789 87654321
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[...] Bonito no? este y otros ejemplos en “The Beauty of Mathemagic”read more | digg story [...]
um…ok. so?
wtf this is not magical at all? this is multiplying/adding sequences of numbers by arbitrary numbers and then adding numbers relative to the first sequence… wtf this is so stupid! there is nothing special about this.
this is a much more special relationship
adding prime numbers in sequence begins to generates exponents of 2,
1 = 1 = (2^1)
1 + 3 = 4 = (2^2)
1 + 3 + 5 = 8 = (2^3)
1 + 3 + 5 + 7 = 16 (2^4)
next this goes to 3^3, but then im not sure what relationship they have. However, this is a much stranger relationship found in numbers compared to “some # * some # + some # = WOW!”
C001
this page is so shite, you only put it here so people will click your google ads didnt you?
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Brilliant!
[...] Beauty. Mathematical beauty. Leave a Reply [...]
Cool.
ascii kids got you beat…
You have waaaaaaaay too much time on your hands…
Regarding the last example (with all the 1’s):
15 years ago (i remember very well, it was in 1991) I noticed (and tried to prove) that all the palindrome numbers with an even number of characters, can be divided by 11. On top of that if the first part of the number is in ascending order (like 1991 , 123321, 15789998751 … ), if you divide by 11, the result is palindrome as well. Check it out.
second can be extended to:
12345679 * 9 = 111111111 (9*1)
12345679 * 18 = 222222222 (9*2)
12345679 * 27 = 333333333 (9*3)
12345679 * 36 = 444444444 (9*4)
12345679 * 45 = 555555555 (9*5)
12345679 * 54 = 666666666 (9*6)
12345679 * 63 = 777777777 (9*7)
12345679 * 72 = 888888888 (9*8)
12345679 * 81 = 999999999 (9*9)
[...] 1 x 1 = 1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111=123456789 87654321 链接 | 来源 Design [...]
dimwit
You forgot a classic Mathemagical number 9.
9 x 1 = 9 | 9 + 0 = 0
9 x 2 = 18 | 1 + 8 = 9
9 x 3 = 27 | 2 + 7 = 9
9 x 4 = 36 | 3 + 6 = 9
9 x 5 = 45 | 4 + 5 = 9
9 x 6 = 54 | 5 + 4 = 9
9 x 7 = 63 | 6 + 3 = 9
9 x 8 = 72 | 7 + 2 = 9
9 x 9 = 81 | 8 + 1 = 9
9 x 10 = 90 | 9 + 0 = 9
It’s like, Magic!
Err, correct 9 x 1 = 9 | 9 + 0 = 9… misclick.
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That was awesome..thanks for the post..
Take a calculator (not calc.exe from windows), turn upside down, and calculate th following phrase: LOL (707) times LOL makes…
Yeah, that is great. I was great in maths at school, and yes, I know why *g*
COOL! just made my day… now am going to waste more time playing with my calculator…. 80087355
I’ve seen this before. There are hundreds of other brilliant mathematical things, you should list some stuff more than multiplication.
Read Goden Escher Bach – Eternal Golden Braid (I forgot the author, but read it)
ps. you’ve been dugg!! nonstopmasti? indian site. neat.
The book you’re referring to is: Godel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter.
I can’t believe that this ‘mathemagical’ page was ever dugg so high. I’m losing faith in peoples power to digg sensibly. Surely this has got to have been manipulated up the rankings?
Lame…
yeah, i’m with nate on this one. wtf is the big deal? of course there’s gonna be symmetry within math problems. there’s symmetry everywhere we look. we just don’t see it all the time.
well, thats lame … there are much better things with more insight. let’s have a look at the powers of 11:
11^0 = 1
11^1 = 1 1
11^2 = 1 2 1
11^3 = 1 3 3 1
11^4 = 1 4 6 4 1
…the pascal tringle … and to avoid carring the 10th digit to the next number, think in an infinite base…
w00t!?
mareks :
It’s been a while since I’ve studied math, but it looks like there are some problems with your example:
>> adding prime numbers in sequence begins to generates exponents of 2,
>> 1 = 1 = (2^1)
1 is equal to 2^0 or better yet, 1^2
>> 1 + 3 = 4 = (2^2)
>> 1 + 3 + 5 = 8 = (2^3)
1 + 3 + 5 is not 8, it is 9, which is 3^2 not 2^3
>> 1 + 3 + 5 + 7 = 16 (2^4)
maybe this could be 4^2 ??
I’m seeing a pattern here…
so
1 = 1^2
1 + 3 = 4 = 2^2
1 + 3 + 5 = 9 = 3^2
1 + 3 + 5 + 7 = 16 = 4^2
1 + 3 + 5 + 7 + 9 = 25 = 5^2
1 + 3 + 5 + 7 + 9 + 11 = 36 = 6^2
1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 = 7^2
cool…
[...] Mathemagic is a collection of nifty mathematical oddities. [...]
mareks: 2^1 = 2, not 1; and 1 + 3 + 5 = 9, not 8. Your attempt to produce a more “magical” sequence is woeful. You will find no geomatric or algebraic pattern amonsgt primes or their sums. The only relation easily rendered is that lim n-> (infinity) of p(n) (the number of primes less than n) /n = ln n.
digdug: 9 is not prime–you are adding odds, not primes. Yes, the sum of odds tields squares. This can be observed in the following seqience of picturres:
*
* + ** = **
* **
* + ** + *** = ***
* * ***
* ***
and so on . . .
Well, my little “L”’s and squares don’t display as they did on the composition box . . . but look at an n x n square and you will see it consists of concentric L’s which consist of consecutive odd numbers.
what
@ 31 and 3
2 is also a prime number, so you are both off!
>> I’m seeing a pattern here…
>> so
>> 1 = 1^2
>> 1 + 3 = 4 = 2^2
>> 1 + 3 + 5 = 9 = 3^2
>> 1 + 3 + 5 + 7 = 16 = 4^2
>> 1 + 3 + 5 + 7 + 9 = 25 = 5^2
>> 1 + 3 + 5 + 7 + 9 + 11 = 36 = 6^2
>> 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 = 7^2
>> cool…
I like how you leave out the next step:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 17 = 66 = 8^NOTHING!!!
@3
Uhh “1=1=2^1″
are you a retard? 2^1 = 2. 2^0 =1 but this does not fit in with your idiot math.
I always liked this little pattern:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
11131221133112132113212221
Andrew – of course “1 + 3 + 5 + 7 + 9 + 11 + 13 + 17 = 66 = 8^NOTHING!!!”
Because as was pointed out, had you been reading the comments, this guy was adding odds, not primes. Or did you miss that he had “9″ in there?
Therefore, even though he isnt adding primes like he thought, if you add odds, the next step is:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 = 8^2
Next time, read the comments and think.
@38
Andrew, the CORRECT next step would be:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 = 8^2
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1 is not a prime number either, which kind of screws everything up there, huh?
(1 has only one factor, primes have two, 1 and the prime)
All you smart math people suck!! The only thing worse than a stupid jock is a smart idiot that is never wrong!! Why are you stupid ’smart’ people flaming each other in the comments section? How pathetic are you? IT’S THE COMMENTS SECTION!!!!!! I met a smart guy once, who claimed that he was never wrong (stupid Ph.D. (Piled high and Deep)). He was one of the biggest jackasses I’ve ever met. So the next time you decide to leave a comment, leave a positive comment only. If you have nothing nice to say, don’t say anything. If you stupid math fools actually did this for a day you’d quickly realize that you will never have anything to say. Which would be a boon to mankind. -Stupid morons-
>> I’m seeing a pattern here…
>> so
>> 1 = 1^2
>> 1 + 3 = 4 = 2^2
>> 1 + 3 + 5 = 9 = 3^2
>> 1 + 3 + 5 + 7 = 16 = 4^2
>> 1 + 3 + 5 + 7 + 9 = 25 = 5^2
>> 1 + 3 + 5 + 7 + 9 + 11 = 36 = 6^2
>> 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 = 7^2
>> cool…
>I like how you leave out the next step:
>1 + 3 + 5 + 7 + 9 + 11 + 13 + 17 = 66 = 8^NOTHING!!!
It should be 15. 49+15 = 64 8^2
This is simply the equality (n+1)^2 = (n+1)*(n+1) = n^2 + 2n + 1
(2n+1 is the next odd number).
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
11131221133112132113212221
3113112221232112111312211312113211
1321132132111213122112311311222113111221131221
@mareks
HAHAHAHAH you’re the coolest guy ever…
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01001011100110
WOW, gotta love math!
mareks and others:
The sum of the first n odd numbers is equal to n^2, a trick was used years ago by programmers on machines that didn’t have floating point processors. You can see why it works here and an example of how it was used in the early days of the Macintosh here.
…a trick *that* was used…
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Mathematik ist schön…
Mathematik muss nicht immer kompliziert und unvertändlich sein. Manchmal ist sie einfach nur mystisch und irgendwie wunderschön in ihrer Symetrie.
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
11111…
i love math.
These are really cool mathematical examples
The true magic of math is in its applications. Quantum Physics is pretty magical, but unfortunately it doesn’t have that easily understandable & instant “wow” factor that our attention-deficit society prefers.
“So the next time you decide to leave a comment, leave a positive comment only. If you have nothing nice to say, don’t say anything. If you stupid math fools actually did this for a day you’d quickly realize that you will never have anything to say. Which would be a boon to mankind.”
^Possibly the most hypocritical statement I’ve ever read.
Mathemagic…
Es gibt schöne Tage, schöne Erlebnisse, schöne Erinnerungen. Schön können Filme und Fotos sein, Malereien und andere Kunstwerke. Aber Zahlenreihen? Wie langweilig, deswegen frage ich mal so: Ist diese Symmetrie dieser Zahlenreihen nicht bemerkensw…
The integers are just chock full of mystery. Solving those mysteries is the realm of Number Theory. What amazes me is that EVERY branch of mathematics is used (and needed!) in Number Theory. Even Stephen Hawking admits, “God Created the Integers”.
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[...] » The Beauty of Mathemagic It IS rather beautiful – well, i have always thought so:) (tags: fun geek interesting math science mathematics magic beauty) [...]
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[...] » The Beauty of Mathemagic (tags: cool fun interesting math science education reference) [...]
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1 + 3 + 5 = 8 = (2^3)???
should be 9
two words: modular arithmetic. start there and work up to number theory
0×0=0, 1×0=0, 2×0=0, 3×0=0, 4×0=0 …, 9×0=0,
Zero is incredible.
amazing..
12345679*09=111111111
12345679*18=222222222
12345679*27=333333333
12345679*36=444444444
12345679*45=555555555
12345679*54=666666666
12345679*63=777777777
12345679*72=888888888
12345679*81=999999999
Atentos atentos a esta:
3 + 2 = 5
Por el culo….
Isn’t 2 a prime number?
[...] See? Math can be beautiful: [...]
[...] After getting terrific response for my previous post Beauty of mathemagic Link : http://www.nonstopmasti.be/?p=76 [...]
10101/91=111
And similarly, divide any number which written as a combination of one digit and “0″ by 91 implies only the digit.
(sorry my English is poor, but you can check this easily)
[...] Found (via Neatorama) a post titled The Beauty of Methemagic, which shows some interesting symmetry and patterns in various numeric arrangements and operations. I thought, Cool! because– well, mostly because I’m kind of a dork but also because… argh! Cheese and Crackers, man, do I have to explain everything to you?! Which is to say, “I dunno.” [...]
142857·1 = 142857
142857·2 = 285714
142857·3 = 428571
142857·4 = 571428
142857·5 = 714285
142857·6 = 857142
142 + 857 = 999
285 + 714 = 999
428 + 571 = 999
571 + 428 = 999
714 + 285 = 999
857 + 142 = 999
14 + 28 + 57 = 99
28 + 57 + 14 = 99
42 + 85 + 71 = 99 + 99
57 + 14 + 28 = 99
71 + 42 + 85 = 99 + 99
85 + 71 + 42 = 99 + 99
1·7 + 3 = 10
14·7 + 2 = 100
142·7 + 6 = 1000
1428·7 + 4 = 10000
14285·7 + 5 = 100000
142857·7 + 1 = 1000000
1428571·7 + 3 = 10000000
14285714·7 + 2 = 100000000
142857142·7 + 6 = 1000000000
1428571428·7 + 4 = 10000000000
14285714285·7 + 5 = 100000000000
142857142857·7 + 1 = 1000000000000
1428571428571·7 + 3 = 10000000000000
14285714285714·7 + 2 = 100000000000000
142857142857142·7 + 6 = 1000000000000000
1428571428571428·7 + 4 = 10000000000000000
14285714285714285·7 + 5 = 100000000000000000
142857142857142857·7 + 1 = 1000000000000000000
3 2 6 + 4 5 1 = 7 7 7
2 6 4 + 5 1 3 = 7 7 7
6 4 5 + 1 3 2 = 7 7 7
+ + + + + +
4 5 1 + 3 2 6 = 7 7 7
5 1 3 + 2 6 4 = 7 7 7
1 3 2 + 6 4 5 = 7 7 7
3 2 6 + 4 5 1 = 7 7 7
2 6 4 + 5 1 3 = 7 7 7
6 4 5 + 1 3 2 = 7 7 7
+ + + + + +
4 5 1 + 3 2 6 = 7 7 7
5 1 3 + 2 6 4 = 7 7 7
1 3 2 + 6 4 5 = 7 7 7
= = = =
7 7 7 7 7 7
7 7 7 7 7 7
7 7 7 7 7 7
12345679×12=148148148
12345679×15=185185185
12345679×57=703703703
12345679×10＝123456790 lose 8
12345679×11＝135802469 lose 7
12345679×13＝160493827 lose 5
12345679×14＝172839506 lose 4
12345679×16＝197530864 lose 2
12345679×17＝209876543 lose 1
12345679×243＝2999999997 2+7=9
12345679×28＝345679012
12345679×37＝456790123
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thats very intresting
thank you
How about this alternate to the patterns found in #40 and #47? Same concept, but always do the number of 1s first, the number of 2s second, 3s third, and so on.
1
11
21
1112
3112
211213
312213
212223
114213
31121314
41122314
41122314
41122314
.
.
.
It repeats!
برنامه جالبیه
salam zibaihai ryazi
[...] The Beauty of Mathemagic [...]
DANJER
[...] Beauty Of Mathemagic [...]
gf
it is very wonderful and lovely. i love mathematic very thanks from you for this matter
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wow. I never thought that was possible. Cool man
zigma n=1 n=.. 1/n=p/6
a=b
a2=b2
a2=ab
a2-b2=ab-b2
(a-b)(a+b)=b(a=b)
a+b=b ==> 2=1
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Hello,
Very Informative Posts.
I really like what you have going on here. I’ll be back soon
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