The Beauty of Mathemagic
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
Liked This Article ???
Check out this Article :
November 2nd, 2006 at 1:25 pm
[…] Bonito no? este y otros ejemplos en “The Beauty of Mathemagic”read more | digg story […]
November 2nd, 2006 at 2:14 pm
um…ok. so?
November 2nd, 2006 at 2:23 pm
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!”
November 2nd, 2006 at 2:43 pm
C001
November 2nd, 2006 at 2:53 pm
this page is so shite, you only put it here so people will click your google ads didnt you?
November 2nd, 2006 at 2:55 pm
[…] found here […]
November 2nd, 2006 at 2:58 pm
No Comments yet.
November 2nd, 2006 at 3:18 pm
Brilliant!
November 2nd, 2006 at 3:52 pm
[…] Beauty. Mathematical beauty. Leave a Reply […]
November 2nd, 2006 at 4:00 pm
Cool.
November 2nd, 2006 at 4:20 pm
ascii kids got you beat…
November 2nd, 2006 at 4:23 pm
You have waaaaaaaay too much time on your hands…
November 2nd, 2006 at 4:24 pm
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.
November 2nd, 2006 at 4:28 pm
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)
November 2nd, 2006 at 4:29 pm
[…] 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 […]
November 2nd, 2006 at 4:32 pm
dimwit
November 2nd, 2006 at 4:34 pm
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!
November 2nd, 2006 at 4:34 pm
Err, correct 9 x 1 = 9 | 9 + 0 = 9… misclick.
November 2nd, 2006 at 4:40 pm
[…] Tomado de Non Stop Masti […]
November 2nd, 2006 at 4:53 pm
[…] Via nonstopmasti […]
November 2nd, 2006 at 4:56 pm
That was awesome..thanks for the post..
November 2nd, 2006 at 5:07 pm
Take a calculator (not calc.exe from windows), turn upside down, and calculate th following phrase: LOL (707) times LOL makes…
November 2nd, 2006 at 5:09 pm
Yeah, that is great. I was great in maths at school, and yes, I know why *g*
November 2nd, 2006 at 5:13 pm
COOL! just made my day… now am going to waste more time playing with my calculator…. 80087355
November 2nd, 2006 at 5:13 pm
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.
November 2nd, 2006 at 6:12 pm
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?
November 2nd, 2006 at 6:42 pm
Lame…
November 2nd, 2006 at 6:54 pm
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.
November 2nd, 2006 at 7:07 pm
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…
November 2nd, 2006 at 7:34 pm
w00t!?
November 2nd, 2006 at 7:34 pm
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…
November 2nd, 2006 at 7:44 pm
[…] Mathemagic is a collection of nifty mathematical oddities. […]
November 2nd, 2006 at 8:30 pm
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.
November 2nd, 2006 at 8:33 pm
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 . . .
November 2nd, 2006 at 8:35 pm
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.
November 2nd, 2006 at 8:36 pm
what
November 2nd, 2006 at 8:41 pm
@ 31 and 3
2 is also a prime number, so you are both off!
November 2nd, 2006 at 8:43 pm
>> 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!!!
November 2nd, 2006 at 9:05 pm
@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.
November 2nd, 2006 at 9:14 pm
I always liked this little pattern:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
11131221133112132113212221
November 2nd, 2006 at 9:17 pm
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.
November 2nd, 2006 at 9:19 pm
@38
Andrew, the CORRECT next step would be:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 = 8^2
November 2nd, 2006 at 9:40 pm
[…] Original Article Here: http://www.nonstopmasti.be/?p=76 […]
November 2nd, 2006 at 9:57 pm
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)
November 2nd, 2006 at 10:11 pm
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-
November 2nd, 2006 at 10:22 pm
>> 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).
November 2nd, 2006 at 10:23 pm
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
11131221133112132113212221
3113112221232112111312211312113211
1321132132111213122112311311222113111221131221
November 2nd, 2006 at 10:57 pm
@mareks
HAHAHAHAH you’re the coolest guy ever…
November 2nd, 2006 at 11:23 pm
[…] read more | digg story […]
November 2nd, 2006 at 11:33 pm
[…] Wäre mir durch Jahrelanges Mathe nie so aufgefallen. Unter dem Titel “the beauty of mathemagic” gibt es auf nonstopmasti.be weitere schöne Zahlenkombinationen […]
November 2nd, 2006 at 11:43 pm
01001011100110
November 2nd, 2006 at 11:46 pm
WOW, gotta love math!
November 2nd, 2006 at 11:49 pm
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.
November 2nd, 2006 at 11:50 pm
…a trick *that* was used…
November 3rd, 2006 at 1:20 am
[…] From Non Stop Masti - via digg email this +del.icio.us +reddit […]
November 3rd, 2006 at 1:21 am
[…] From Non Stop Masti - via digg […]
November 3rd, 2006 at 1:46 am
[…] [source][via] 对称 数学 […]
November 3rd, 2006 at 2:17 am
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…
November 3rd, 2006 at 2:33 am
i love math.
November 3rd, 2006 at 2:33 am
These are really cool mathematical examples
November 3rd, 2006 at 3:04 am
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.
November 3rd, 2006 at 4:17 am
“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.
November 3rd, 2006 at 4:50 am
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…
November 3rd, 2006 at 5:05 am
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”.
November 3rd, 2006 at 5:07 am
[…] The Beauty of Mathemagic (tags: fun geek) […]
November 3rd, 2006 at 7:13 am
[…] » The Beauty of Mathemagic It IS rather beautiful - well, i have always thought so:) (tags: fun geek interesting math science mathematics magic beauty) […]
November 3rd, 2006 at 7:37 am
[…] mere […]
November 3rd, 2006 at 9:06 am
[…] read more | digg story Posted by snapshooter Filed in Uncategorized […]
November 3rd, 2006 at 9:54 am
[…] » The Beauty of Mathemagic (tags: cool fun interesting math science education reference) […]
November 3rd, 2006 at 10:21 am
[…] Vía: nonstopmasti.be […]
November 3rd, 2006 at 10:22 am
1 + 3 + 5 = 8 = (2^3)???
should be 9
November 3rd, 2006 at 10:30 am
two words: modular arithmetic. start there and work up to number theory
November 3rd, 2006 at 1:57 pm
0×0=0, 1×0=0, 2×0=0, 3×0=0, 4×0=0 …, 9×0=0,
Zero is incredible.
November 3rd, 2006 at 2:27 pm
amazing..
November 3rd, 2006 at 4:33 pm
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
November 3rd, 2006 at 4:52 pm
Atentos atentos a esta:
3 + 2 = 5
Por el culo….
November 3rd, 2006 at 7:04 pm
Isn’t 2 a prime number?
November 3rd, 2006 at 10:47 pm
[…] See? Math can be beautiful: […]
November 4th, 2006 at 2:16 am
[…] After getting terrific response for my previous post Beauty of mathemagic Link : http://www.nonstopmasti.be/?p=76 […]
November 4th, 2006 at 8:37 pm
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)
November 4th, 2006 at 11:24 pm
[…] 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.” […]
November 5th, 2006 at 6:34 pm
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
November 5th, 2006 at 8:24 pm
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
November 6th, 2006 at 5:54 am
[…] » The Beauty of Mathemagic (tags: mathematics) […]
November 6th, 2006 at 8:51 am
[…] » The Beauty of Mathemagic Tags: No Tags. 1. EShare-免费电子图书下载 2. 3. 4. […]
November 8th, 2006 at 9:23 pm
thats very intresting
November 9th, 2006 at 1:43 am
thank you
November 9th, 2006 at 2:17 am
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!
November 9th, 2006 at 7:57 pm
برنامه جالبیه
November 9th, 2006 at 10:56 pm
salam zibaihai ryazi
November 9th, 2006 at 11:30 pm
[…] The Beauty of Mathemagic […]
November 10th, 2006 at 3:11 pm
DANJER
November 10th, 2006 at 7:33 pm
[…] Beauty Of Mathemagic […]
November 11th, 2006 at 12:05 pm
gf
November 11th, 2006 at 1:16 pm
it is very wonderful and lovely. i love mathematic very thanks from you for this matter
November 11th, 2006 at 5:45 pm
[…] read more | digg story […]
November 12th, 2006 at 6:58 pm
wow. I never thought that was possible. Cool man
November 15th, 2006 at 1:27 pm
zigma n=1 n=.. 1/n=p/6
November 16th, 2006 at 2:31 am
a=b
a2=b2
a2=ab
a2-b2=ab-b2
(a-b)(a+b)=b(a=b)
a+b=b ==> 2=1
December 8th, 2006 at 9:41 pm
[…] » The Beauty of Mathemagic Posted in bookmarks | Trackback | del.icio.us […]
April 19th, 2007 at 7:57 am
Hello,
Very Informative Posts.
I really like what you have going on here. I’ll be back soon
July 31st, 2007 at 10:43 am
[…] Be very amazed… then roll your eyes. […]