After Remus's Little Problem
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not got it perfect, i'm at 52 so far. it is 5:15 am though...
(4!)*(sqrt4)+4 = 52
i'll get there though!
pav
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getting nearer...
(4 !) + ((4 * 4) * sqrt(4)) = 56
pav
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444 divided by 4 minus 44, minus 4, minus 4, minus 4 = 55
444/4=111
111-44=67
67-4=63
63-4=59
59-4=55. -
well if factorals, pi, squared, cubed, decimals etc are allowed then it's possible for sure..
4! = 24
square root of 4 = 224- 2 = 22
22 divided by .4 = 55that's a bunch of numbers other than 3 fours though..
another one thats close..
4pi x 4 + 4 = 54.25
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@pav_3j said:
not got it perfect, i'm at 52 so far. it is 5:15 am though...
(4!)*(sqrt4)+4 = 52
i'll get there though!
pav
i did it based off what you have...
but..
4! minus sqrt4 then divide by .4.. -
but if that's in fact an acceptable solution, i'm willing to argue that .4 is as different from 4 as any other number so
(4x4)+39 should count too..once you get into sin,cos,tan, sqrts of sqrts, cbrts, logs etc.. i'm sure there are a bunch of different ways to do it..
or 4x + 4 + 4 works good too (where x = 11.75) to me, that's not much different than the other symbols that are used as representations for actual numbers.
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another one that's close
4pi x 4.4 = 55.2
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Jeff is right - with three it's (4!-(sqrt(4))/.4=55 [and with four fours it's (4!/.4)-(sqrt(4)/.4)=55]
but without decimal points [where .4 != 4 !!!] this way works 'properly'...(sqrt(sqrt(4)))(sqrt(4!))(sqrt((sqrt(4!))!))=55
Now try four fours with symbols that = 27... [no decimal points allowed] a bit more convoluted
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@tig said:
[where .4 != 4 !!!]
is 4!!! a legit way to make a smaller number?
to me it looks like the number would get bigger very quickly because i'm looking at it as ((4!)!)!
if !! or !!! works differently than that, it opens up some more possibilitiesedit- ok, i checked it out.. the double factorial uses only numbers with the same odd or even relationship..
so 4!! = 42 = 8
7!! = 7531
etc..but while looking at that, i came across the subfactorial .. !4 = 9 so...
(4(4sqrd)) - !4 =55
[that's squared not square root]
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@unknownuser said:
@tig said:
[where .4 != 4 !!!]
is 4!!! a legit way to make a smaller number?
You misconstrue me !!! I was making an exclamation, that .4 is not equal to 4 (.4 != 4 !!!): after all .4 is really another way of writing 4/10 ...
I deliberately separated the ! and made the exclamation three !!! to be sure, but it still didn't work !
As I see it the only legit way to make 55 with three 'proper' fours and all proper symbols is my...
(sqrt(sqrt(4)))(sqrt(4!))(sqrt((sqrt(4!))!))=55
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another using decimals..
4.4/.4!! = 55
(well, that is if .4!! = .08)
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here's an interesting link (well, sort of.. most of the content is way over my head but....
)trying to represent all numbers 1-12 using only one 4..
http://www.cut-the-knot.org/arithmetic/funny/1_4.shtml.
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I realize I am tuning in late, but wasnt this a CarTalk Puzzler? how to get to the number 55 using only five 4s?
44 + 44/4 = 55.
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anyone want to take a stab at this weeks puzzler from the same site?
@unknownuser said:
An obscenely wealthy hedge fund manager named Throckmorton Bottomfeeder IV decided to build for himself and his trophy wife, a modest little 40,000 square foot home. It was a stone castle complete with an observation tower at one end that was almost 100 feet high - perfect they thought to spot from afar the first wave of angry and disgruntled investors, the kind with the pitchforks and the torches.
The Bottomfeeders had employed the finest masons in all the land to ensure that their castle was as close to the real thing as possible. As the tower was constructed by a very talented and skilled crew of masons working on the outside, another even more skilled crew constructed a spiraling stone staircase that climbed the inside wall of the stone castle until it reached the observation deck at the top.
Finally, after many months, the castle was completed just in time to coincide with the end of the Bottomfeeders' lengthy vacation. And as you might expect upon their return, the BFs, as we will call them now, scrutinized the construction, pored over every detail and found everything perfect. The workers were brimming with pride. Then they came to the tower and Lady Bottomfeeder stood there in awe. Her eyes followed that spiral stair all the way to the top. Then her jaw dropped. 'This won't do. You must take it down at once to fix it. It's all wrong. You'd never see anything so ill-conceived in Europe. Why, we'll be the laughingstock of the entire world.'
What was she talking about?
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@unknownuser said:
I realize I am tuning in late, but wasnt this a CarTalk Puzzler?
is there a prize?
TIG should submit and win that thousandG!!apparently, the answer (or, an answer) will be given tonight..
http://www.cartalk.com/content/puzzler/edit, ha.. oh wait.. that was last week's puzzle and the answer they gave had decimal points (the same equation as one i used)
i'm claiming BS
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In Europe almost all spiral [helical] stairs traditionally curve up clockwise.
They originated in castles and such like.
This is so defending knights beleaguered in the tower [and who would be predominantly right-handed] would be at an advantage when fighting intruders coming up the stairs from below them, and who would be wielding their swords in their right-hands awkwardly nearest to the central 'newel' and also have difficulty with their shields on their left arms which would expose there breasts to the upper knight's downward thrusts...At least that is the traditional explanation as to why the vast majority of such stairs turn in that direction... might be rubbish...
So, having been to Europe Mrs BF knows that a 'proper' spiral staircase curves up clockwise... hers 'goes the wrong way' !!!!
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Long Live Southpaws!
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