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Math puzzles!
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2011-11-08, 04:03 PM
rethic Wrote:7) 23? ShinkuDragon Wrote:11: Yes and yes  If no one answers 8 through 10 by 8 pm Pacific... you guys can go ahead and answer 1 more each :3
2011-11-09, 12:40 AM
Okay guys, no more answers so far~
Go ahead and have at em ( 7 through 10 ) 
2011-11-09, 03:48 AM
shouri Wrote:Okay guys, no more answers so far~ fixed, and i'm stumped here, lol, don't feel like doing them one at a time atm lol 
2011-11-09, 01:38 PM
8) 103 but that took me a LOOOOOOOOOOOOONG time to find out. I just went through most 1-1 combos possible from 80 to 103 (since numbers before 80 are easy to make).
10) It's impossible to make a number that's not multiple of 3 with 3 numbers that are multiples of 3. 3n + 3m + 3k = 100, where n, m and k are integers. n + m + k = 100/3 the sum of three integers can't be equal to a rational number. For 4 triples the same reasoning goes, 3n + 3m + 3k + 3p = 100 n + m + k + p = 100/3, the sum of 4 integers can't be equal to a rational number.
2011-11-09, 02:35 PM
Shidoshi Wrote:8) 103 but that took me a LOOOOOOOOOOOOONG time to find out. I just went through most 1-1 combos possible from 80 to 103 (since numbers before 80 are easy to make). 8&9 still up for grabs :3 rofl, my bad guys.. read the bolded
2011-11-09, 04:12 PM
shouri Wrote:8&9 still up for grabs :3...judging by those rules and what you posted: 8) 1. you can't win 9) 1. you can't win. there's got to be something else you forgotten though, otherwise this is a "did you read the notes?" question 
2011-11-09, 04:33 PM
9)163
1-20: 2 miss, 1 dart hits 1-20 21-40: 1 miss, 1 dart hits 1-20, 1 dart hits 1-20 41-60: 1 dart hits 1-20, 1 dart hits 1-20, 1 dart hits 1-20 61-80: 1 miss, 1 dart hits 1-20, 1 dart hits 3x 1-20 81-100: 1 dart hits 20, 1 dart hits 1-20, 1 dart hits 3x 20 101-120: 1 dart hits 3x 20, 1 dart hits 2x 20, 1 dart hits 1-20 121-140: 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 1-20 141: 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 3x 7 142: 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 2x 11 143: 1 dart hits 50, 1 dart hits 3x 20, 1 dart hits 3x 11 144: 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 3x 8 145: 1 dart hits 3x 15, 1 dart hits 50, 1 dart hits 50 146: 1 dart hits 3x20, 1 dart hits 3x20, 1 dart hits 2x 13 147: 1 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 3x 9 148: 1 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 2x 14 149: 1 dart hits 3x 13, 1 dart hits 50, 1 dart hits 3x 20 150: 3 darts hit 50 151: 1 dart hits 50, 1 dart hits 3x 17, 1 dart hits 50 152: 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 2x 16 153: 1 dart hits 3x20, 1 dart hits 3x20, 1 dart hits 3x 11 154: 1 dart hits 3x 20, 1 dart hits 3x 20, 1 dart hits 2x 17 155: 1 dart hits 3x 20, 1 dart hits 50, 1 dart hits 3x 15 156: 1 dart hit 3x 20, 1 dart hits 3x 20, 1 dart hits 3x 12 157: 1 dart hits 50, 1 dart hits 3x 19, 1 dart hits 50 158: 1 dart hits 3x 20, 1 dart hits 50, 1 dart hits 3x 16 159: 1 dart hits 3x20, 1 dart 3x20, 1 dart hits 3x 13 160: 1 dart hits 50, 1 dart hits 50, 1 dart hits 3x 20 161: 1 dart hits 3x20, 1 dart hits 50, 1 dart hits 3x 17 162: 1 dart hits 3x20, 1 dart hits 3x20, 1 dart hits 3x 14 163: can't. You can do everything with combinations of 20 and 50s, but this one. 2 darts 3x 20s, 43 left can't be done, prime. 2x 50s, 63 left, can't be done coz there is no 21. 3x 20 + 50, 53 left can't be done, prime.
2011-11-09, 07:11 PM
ShinkuDragon Wrote:...judging by those rules and what you posted: T.T besides 1. Geez I'm really out of it. I keep forgetting to mention stuff D: HellenzSin Wrote:9)163 You also missed the bolded where you're required to end in a double. Here: official rules Quote:Double-out: Players must reach "0" exactly by scoring in a double point value segment. Quote:With 32 points to go, a double 16 will end the game. A single 16 will still leave 16 to go, which can be gotten by throwing a double 8, and so on down the line. If an odd number is thrown, another odd number is needed to get back to a double possibility. If one less or one more than the exact score is hit, the player must assume the same score he had at the end of his last turn. (This is called busting.) The rest of the rules hold.aka, if you get down to 1 point... you bust and have to go back to the previous score you had. 
2011-11-11, 01:45 AM
Riyuran Wrote:8) 99 Excellent, 99 is the correct answer Now do it with three darts (At the very least you already know what's possible with 2 darts, so no need to check those
2011-11-11, 01:59 AM
shouri Wrote:Excellent, 99 is the correct answer imma throw a dart in the dark and say 159
2011-11-11, 03:08 AM
ShinkuDragon Wrote:imma throw a dart in the dark and say 159 And BULLSEYE! *ba dum tch* that is indeed correct~ you can just triple 60 your way to anything before 159 by taking 99 and before for the last two darts. Excellent intuition! THIS IS THE TRUE ESSENCE OF MATH MUHAHAHAHAAHA! *cough* ahem~ 12) Continue the sequence (If you've seen it, let everyone else suffer): [just give me the next line] 1 11 21 1211 111221 312211 ...?
2011-11-11, 02:46 PM
shouri Wrote:And BULLSEYE! *ba dum tch* bawss. thanks ryu for doing all the hard work for me <3 and i've seen it, but can't remember exactly what the answer was >.< 
2011-11-12, 03:46 PM
shouri Wrote:And BULLSEYE! *ba dum tch* 13112221
2011-11-12, 08:06 PM
Infernal Wrote:13112221 Good good, each line just describes the previous one. In the last line I posted we: one 3, one 1, two twos, then two ones. or 13,11,22,21 They're read off by groups not by total. 13) Let's have some fun :3 I would like you guys each to post up a single way to represent pi. Ingenuity wins this one (earlier ones receiving preference... since others will have the chance to see your creativity and just work to out do you... they better outdo you by a LOT to win).... so simple representations or re-writes of well known formulas will be frowned upon. This is a challenge of CREATIVITY. Everyone post your own creative way to represent pi. Just because someone else posted one doesn't mean you can't! Edit: you do NOT have to represent pi exactly... approximations will do too... so long as they have a few digits of accuracy. As usual, please don't just look them up >.< 
2011-11-12, 10:42 PM
Spoiler
Spoiler
Not very creative, but it's the best I can do on short notice.
2011-11-13, 11:04 AM
Perimeter of an n sided polygon with a diameter of 1.
![[Image: HEIFh.png]](http://i.imgur.com/HEIFh.png) The size of the side of this polygon can be calculated as 2*sin(360º/2n)*(1/2) = sin(180º/n), that is taking pitagoras on half of a pizza slice of the polygon. The total perimeter of this polygon is n * sin(180º/n) If we take the limit of n tending to infinity we have pi. yay~
2011-11-13, 03:36 PM
Okay, okay~ this is working so far~
Using equations that aren't as well known (physics, holypie)... and limits that also aren't obvious (Shidoshi, love the signature as well btw :3).... granted this shows up on wikipedia... hopefully you just learned it in class or something Let's see some more creativity, also... L> MOAR math people... get that creativity flowing~ You two (shidoshi/holypie) can post one more if you feel like it
2011-11-13, 05:37 PM
That expression to get to pi is pretty common place (sorta), as a circle is just a polygon of infnite sides =D
I had solved that limit myself when I was studying calculus. Meh, if I could remember there was this Fourrier series that you could use to get the value of pi as an infinite sum of sines and cosines, it's been too long though. I'll see if I can think of something. |
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