[Guest]

How many numbers can you make with three two's, not using symbols?

[itachi-san]

Does two have to be 2, or can we use roman numerals or other means of expressing two? Also can a number that is not 2 be expressed as three twos (like 6 is the sum of three twos)?

[Guest]

Yes, it must be the numeral 2, no roman numerals or other means. No, you must use the number "2."

[itachi-san]

Since I can only use 2 and only 2 here goes:

2,22,222,-2,-22,-222 This is assuming the negative sign is not a symbol.

[Guest]

Even though used on a calculatur it's the "carrot top," powers of numbers do not have it in the solution. In other words, you can use powers.

...First of all, you must you each of the "2's" and 2nd, the negative sign can't be used.

Edited March 26, 2008 by dawgsrule93

[EventHorizon]

Even though used on a calculatur it's the "carrot top," powers of numbers do not have it in the solution. In other words, you can use powers.

...First of all, you must you each of the "2's" and 2nd, the negative sign can't be used.

It seems to me that if the only possibility is using powers and that you must use all 3, then the answer would be 4 different numbers

222

2²²

22²

2²² ...hopefully this came out ok...it is 2 to the 2 to the 2

I'll think about it a little longer to see if I can do something else to get more numbers

[EventHorizon]

2₂₂ ...2 in base 22 = 2

[Guest]

Sorry I`m confused, two is two, 2 is a symbol of two?

[Guest]

Sorry I`m confused, two is two, 2 is a symbol of two?

simbals perhaps - Ta-da-dshiimb! or however the sound goes!

Shall we sart a thread on written sounds?

[Guest]

Sorry I`m confused, two is two, 2 is a symbol of two?

I think the question is to come up with different numbers using only three 2's with no other symbol.

Have a look at EventHorizon's post above.

[Guest]

Event Horizon's

2^22[sup/]

^222[sup/]

²²²

^{22[sup/]2[sup/]}

^{(2 to the power of two to the power of two)}

[Guest]

222 = 222

484 = 22^2

1,048,576=2^22

16 = 2^2^2

[Guest]

Thank you for simplifying your answer. :D

[bonanova]

I'll assume that the decimal point has been ruled out - being a symbol.

However, if it were allowed, there'd be 27 additional answers.

For the morbidly curious..."

http://brainden.com/forum/uploads/emoticons/default_cool.png' alt='B))'> ].222 = .222

2.22 = 2.22

22.2 = 22.2

.22² = .0484

2.2² = 4.84

.22^.2 = 0.73872795878869225016790169247078

2.2^.2 = 1.1708049129648923375675564464235

22^.2 = 1.8556007362580843347327705213217

2^2.2 = 4.5947934199881400271945077871117

2^.22 = 1.1647335864684558340514153442951

.2²² = 0.0000000000000004194304

.2^2.2 = 0.028991186547107821258824560035263

.2^.22 = 0.70182138774933491473690519532119

evaluating left to right:

2^{.2 2} = 1.1486983549970350067986269467779² = 1.3195079107728942593740019712296

2^{2 .2} = 4^.2 = 1.3195079107728942593740019712296

2^{.2 .2} = 1.1486983549970350067986269467779^.2 =1.0281138266560665093463449587926

evaluating right to left:

2^{.2 2} = 2^.04 = 1.0281138266560665093463449587926

2^{2 .2} = 2 ^{1.1486983549970350067986269467779} = 2.2171376698777803784108725305495

2^{.2 .2} = 2 ^{0.72477966367769553147061400088157} = 1.6526482155073709822222822040914

evaluating left to right:

.2^{2 2} = .04² = 0.0016

.2^{.2 2} = 0.72477966367769553147061400088157² = 0.5253055608807534472910262532993

.2^{2 .2} = .04^.2 = 0.5253055608807534472910262532993

.2^{.2 .2} = 0.72477966367769553147061400088157^.2 = 0.93765095400201550854491480127356

evaluating right to left:

.2^{2 2} = .2⁴ = 0.0016

.2^{.2 2} = .2^.04 = 0.93765095400201550854491480127356

.2^{2 .2} = .2^{1.1486983549970350067986269467779} = 0.15743246875360179313460542912777

.2^{.2 .2} = .2^{0.72477966367769553147061400088157} = 0.31145890709837815221964259196803

[Guest]

Bonanova, and all,

Some symbol issue here for me

symbols are the numerals used to represent numbers.

Problem is as jword put it all forms of character/number/cipher etc are symbols

variable ...A symbol whose value can change.

Does not the ² represent a symbol

.2^{.2 .2}

also the ^. is a symbol too.

Though I did seem to be 'morbidly curious'

So how do you write without using a medium?

[Guest]

Bonanova, and all,

Some symbol issue here for me

symbols are the numerals used to represent numbers.

Problem is as jword put it all forms of character/number/cipher etc are symbols

variable ...A symbol whose value can change.

Does not the ² represent a symbol

.2^{.2 .2}

also the ^. is a symbol too.

Though I did seem to be 'morbidly curious'

So how do you write without using a medium?

So now I see the connection LIS, morbid and medium, you suggesting we have a seance to resolve this?

[Guest]

So now I see the connection LIS, morbid and medium, you suggesting we have a seance to resolve this?

That's a lot of distance to reach, have to be vrtual i think!

Or do you need to hold someone's hand Mr Touchyfeely ?

[Guest]

How many numbers can you make with three two's, not using symbols?

If square roots and log can be used, any integer N can be expressed with only three two's by:

Any integer N can be expressed by:

(N = number of square roots; logarithms in base 2)

[Guest]

simbals perhaps - Ta-da-dshiimb! or however the sound goes!

Shall we sart a thread on written sounds?

Interesting thread if you could start it (by the way, been away a while, I´ll never volunteer to carry ´THE TORCH´again, )

In England --as we say in Spain--- we use the written word ´fart´to describe a particular bodily noise, however the same sound descriptively written in Japanese is ; " The sound of a thousand butterfly wings simultaneously flapping and landing on a marble slab".

[Guest]

Written sounds? You mean like, onomatopoeia?