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69 Comments
- oneboy, on 10/12/2007, -5/+82The symmetry is neat and remarkable. But for me, 55318008 on a calculator is still the best! tee hee
Are there any larger collections of 'mathemagic' stuff? - tuxidomasx, on 10/12/2007, -2/+42@N3wtR0ckn13
i always used:
boobies = BOOBIES = 5318008
i mean, isnt "boobies" a much better word than "boobless" - inactive, on 10/12/2007, -9/+471 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 - in2thel2ain, on 10/12/2007, -0/+36Just remember, don't drink and derive.
- arnar, on 10/12/2007, -0/+32Tamriel: sure there is.. the symmetries are constructed from the way the decimal system works. You can do the same with any number system:
the first one:
hex (16): 123456789ABCDEF * E + F = FEDCBA987654321
octal (8): 1234567 * 6 + 7 = 7654321
the second one in hex:
123456789ABCDEF * F + 10 = 1111111111111111 (note that 10 in hex is 16 in decimal)
the third one:
FEDCBA98765432 * F + 0 = EEEEEEEEEEEEEEE
and the last one:
111111111111111 * 111111111111111 = 123456789ABCDEFEDCBA987654321
All these patterns can be deduced for a general number system with n symbols with a little bit of algebra.
ps. for those who want to try this out, use the "bc" calcluator commonly available on Linux systems - to change the base number do this:
ibase = 16
obase = 10
-- the first one sets the base number for input, and the latter sets the output base number to the same value ("10" in N-ary == N) - beelz, on 10/12/2007, -8/+393.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609
- Dested, on 10/12/2007, -10/+34I think me and just about everyone else on Digg figured this out long ago in about 6th grade with our calculators while the rest of the freaks played there basketball and whatnot.
- GhostCrab, on 10/12/2007, -0/+22I always used to type 173404173 into my scientific calculator and tell people to press the HEX button and watch their faces when it spelled out A55F00D... maybe thats why I diddnt have a girlfriend...
- thiagoleon, on 10/12/2007, -0/+20N3wtR0ckn13,
In portuguese we used to write 01350738,
which means "beautiful boobs" (belo seio)
Good times... - cpbrown, on 10/12/2007, -0/+20never ever go on a date without a calculator at hand.
ooh baby can i take your derivative? cos i wanna be tangent to your curves :p - backrash, on 10/12/2007, -0/+15impress or scare?
- asteron, on 10/12/2007, -4/+17Am I the only one who considers this fascination with very basic concepts of arithmetic an indicator of the sad state of teaching mathematics in this country?
I dont think most realize that there is nothing coincidental about those equations as it is a simple result of a cascading sum from multiplying.
I might be modded down for this but really this kind of stuff should be plain to middle school graduates. How this gets to the front page is beyond me.
For those that found this amazing here is another fact to consider.
2 + 2 = 4
2 * 2 = 4
2 ^ 2 = 4
WTF!!! - skags, on 10/12/2007, -0/+12No I didn't, I was too busy learning the difference between "there," "their," and "they're."
Excuse the 'snarkiness' : ) - inactive, on 10/12/2007, -1/+6What's funny is n3wtr0ckn's reply was exactly what I did in my spare time in 6th grade prealgebra.
- resplence, on 10/12/2007, -1/+6@asteron
I won't digg you down but, dude, lighten up. - viva162, on 10/12/2007, -0/+4this isnt solely "mathemagic" but its a massive collection of math concepts and formulae and other fun stuff for math nerds.
http://mathworld.wolfram.com/ - manningbc, on 10/12/2007, -0/+3milk + milk + lemonade = around the corner fudge is made
- arnar, on 10/12/2007, -0/+3I agree with you for the most part.. patterns/symmetries in the symbols we use to represent numbers are not that suprising or noteworthy. However, there is real beauty in mathematics to be found imnsho..
- Desolite, on 10/12/2007, -0/+3yes, and those sports players are usually the bad ones :-X
- burnttoys, on 10/12/2007, -1/+3That is pretty but there's something about the magic of 2's comp binary that is just fabulous like this little gem... (x&y)+((x^y)>>1). It produces the average of 2 N bit numbers without spilling over into bit N+1 (think about it).
Or arithmetic shift right of an N bit number by N bits to produce a nice bitmask for ANDing with further data that you want to add in only if the original data is negative (negative values have the top bit set, shifting by N bits produces a string of 0's it >= 0 or a string of 1's if < 0).
Or(!) x&(x-1) only produces 0 if x is a power of 2.
Maybe it's just me! - Gagle, on 10/12/2007, -0/+2just use the identity e^(ix)= cos(x) + isin(x) and develop it in a taylor series and evaluate it a x = (Pi) .
Euler's constant is the most interesting number though.... - tivo, on 10/12/2007, -0/+2i still don't understand how e^[(i)*(pi)] = -1
- cpbrown, on 10/12/2007, -1/+3@neilpan ... actually i was thinkin of simply takin 2nd derivative and finding her maximums :p
- arnar, on 10/12/2007, -0/+2Nope.. me too.
- cpbrown, on 10/12/2007, -1/+2yes. it really is just you.
- parasitewasp, on 10/12/2007, -0/+1Adding 0x9+1=1 screws up the nice pyramid form, I was wondering that as well.
- parasitewasp, on 10/12/2007, -0/+1Check out the book...' Zero: The Biography of a Dangerous Idea' a really good eye opening book
- bouche, on 10/12/2007, -0/+1Why'd they leave out the start of this pattern? I think it would fit...but what do I know?
0 x 9 + 1 = 1
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 - agentVivid, on 10/12/2007, -0/+1nerds
- crimemastergogo, on 10/12/2007, -0/+1brilliant,sure
- yogurtearl, on 10/12/2007, -0/+1Mathemagics book
http://www.amazon.com/Mathemagics-Genius-Without-Really-Trying/dp/0737300086/sr=1-1/qid=1162480301/ref=pd_bbs_sr_1/103-0587428-4842254?ie=UTF8&s=books - jkr06, on 10/12/2007, -0/+1Good old + and - do the job.
A = A + B
B = A - B
A = A - B
Edit: Can't move this below - resplence, on 10/12/2007, -0/+1Nice post, would be better without all the 'something' lazyness though.
- mapkinase, on 10/12/2007, -0/+1no.
e^ipi=-1 is beautiful on the other hand.
This example is beautiful for a teenager. On the other hand, digg IS the site for teenagers... - inmatarian, on 10/12/2007, -0/+1I was wondering what happened to the Mathemagician character from Martin's party. (simpsons reference)
- neilpan, on 10/12/2007, -1/+2@cpbrown
....and then we integrate, she takes my limit and finally we multiply... - dankosaur, on 10/12/2007, -0/+1Hey, I thought it was cool.
- cpbrown, on 10/12/2007, -0/+1who gives a **** if it's run by indians?
- send0me0ur0spam, on 10/12/2007, -0/+0search on google for "VEDIC MATH" for more stuff like this
- bluemist, on 10/12/2007, -2/+2I used to impress people by saying I memorized the first 50 digits of Pi. I still remember about 35 of them right now.
Or the "think of a number" tricks in which I ask them to do a set of arithmetic on the number, then guess on the results. Gets them everytime, it's like the street magic thing nowadays. - neilpan, on 10/12/2007, -3/+3pi and prime numbers never cease to amaze me. i agree that symmetry is beautiful but in this case its just blah x blah + blah = w00t!. symmetry in physics is also beautiful... :-)
- ten30, on 10/12/2007, -0/+0The beauty of this is that we are able to -perceive- the logic, not just that it is possible. The capability to perceive it is what makes it beautiful.
- Haroldx, on 10/12/2007, -1/+1bury
- ui08ui, on 10/12/2007, -0/+0123789+561945+642864=242868+323787+761943，123789×123789+561945×561945+642864×642864=242868×242868+323787×323787+761943×761943 ；
23789+61945+42864=42868+23787+61943，
23789×23789+61945×61945+42864×42864=42868×42868+23787×23787+61943×61943 ；
3789+1945+2864=2868+3787+1943，
3789×3789+1945×1945+2864×2864=2868×2868+3787×3787+1943×1943；
789+945+864=868+787+943，
789×789+945×945+864×864=868×868+787×787+943×943；
89+45+64=68+87+43，
89×89+45×45+64×64=68×68+87×87+43×43；
9+5+4=8+7+3，
9×9+5×5+4×4=8×8+7×7+3×3 - spacemanspork, on 10/12/2007, -0/+0haha, i took a class with him.
that guy could do some amazing things with math. he's also a magician (and a good one). - inactive, on 10/12/2007, -0/+0Check out the other posts of this website too. too cute
- NewYorkMantle, on 10/12/2007, -0/+0as of now, 1111 diggs. awesome.
- krizo, on 10/12/2007, -0/+0I'd really like to find out binary tricks, but these are really hard to find.
For example, if you want to switch two values without using a separate variable you can just use a series of XOR's. Like So:
A = A ^ B
B = A ^ B
A = A ^ B
There you go. A now equals B's previous value, and B equals A's previous value.
Anybody know other tricks like this? - vtel001, on 10/12/2007, -1/+1btw...this website is run by Indians, as the name (masti) suggests, and also from the topics about IT companies in India, & cricket star Sachin Tendulkar
- Stevethegreat, on 10/12/2007, -4/+4I don't think symmetry or any other geeky invention you can do with numbers has anything to do with beauty. Maths were never meant to be beautiful, they are a logical tool. They don't predict anything they're just mere symbols that we -humans- invented. If we can make sth beautiful by utilizing those symbols, it has nothing to do with maths themselves, it is because our rationality is beautiful, and if us -the hairless apes- have anything beautiful it's our wonderful mind, not -ever- a tool reached that kind of beauty, in fact they were nothing of any importance without being paired with some kind of logic.
We have PCs, I'm tired with this numbers-memorization games, computers can always do it better than us, it's stupid to be the first in your village while there is a whole world out there. That's why I abandoned semi-professional chess playing, I was the champion of my town, even if I was to become world champion I would still be incompetent, since Blue Gene would always beat me, I got tired to be delusional.
My point is that you have to abandon the established geeky behavior (memorizing a hundred of places, searching for maths' paradoxes) of yours in favor of actually utilizing your brainpower to sth innovative that never anyone else tried to do. Hell this kind of Mathematics analysis got old 400 years ago by the pioneers of the applied sciences. -
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