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-   Brainiac (http://www.nordinho.net/vbull/brainiac/)
-   -   Cryptomania (http://www.nordinho.net/vbull/brainiac/29904-cryptomania.html)

Bolaf 11-23-2012 05:54 PM
Re: Cryptomania
 
Ok, a suggestion: You tell me how the decoding basically works - by trying just a handful of letters - and I'll calculate the rest of the message for you.

Bruja 11-23-2012 06:37 PM
Re: Cryptomania
 
I am the size of this message_I am the xth tetrahedral number_ il

....and then I got tired :frown:

And I'm sure there's a way of doing it in a faster, simpler way, but maths and spreadsheets are not my friends....

Bolaf 11-23-2012 07:12 PM
Re: Cryptomania
 
I admit it's a tedious process to calc all by hand. But you've successfully deciphered a big part of the beginning. Well done!
So here's the completed stage:
Spoiler:
............................I
....AMTHESIZEOFTHISMESSAGE_IA
..MTHEXTHTETRAHEDRALNUMBER_IL
.OVEYBECAUSEHEISMYAMICABLEP..
ART.....NE.......R_PLE.......
AS......EA.......DDXAN.......
........DY.......ANDMY.......
........PR.......IMEFA.......
........CT.......ORS_T.......
........IM.......ESSIX.......
........_P.......LUSNI.......
.......NET.......YFOUR.......
......._S........QUARE.......
.......IT........_SUBT.....RA
C.....TTH........OUSAN.....DE
IG....HT_........TIMES.....SE
VEN_WRIT..........ETHE.....R.
ESULTAS...........HEXAT...RI.
.DECIM.............ALNUMBER..

Bruja 11-23-2012 07:16 PM
Re: Cryptomania
 
1 Attachment(s)
Do you really think I can do all that math???
Attachment 67590

(I'll wait for Hel, he said he was interested in maths...)

*sigh* I'm a masochist.
The message has 220 characters and according to this page 220 is the 10th tetrahedral number.

*second sigh* and 220 and 284 are amicable numbers.

*third sigh* and the prime factors of 220 are 2-2-5-11

*fourth and last sigh* .....I'm sure there's an online decimal-hexatridecimal converter, that wouldn't be a problem, but I've never followed written instructions in English to write an equation, and I'm a bit confused, would it be like that?
[10+284+(2+2+5+11)6+94]^2 - 108*7

Bolaf 11-24-2012 05:56 PM
Re: Cryptomania
 
Actually it's a simple chain where each instruction yields an intermediate result. That is, one could type the steps in a standard calculator and press '=' after each.

Spoiler:
Technically its bracket-style structure looks like so:
(((((sum) * ) + ) ^ ) - ) *

Or simplified, due to operator precedence:
(((sum) * + ) ^ - ) *

Bruja 11-24-2012 10:13 PM
Re: Cryptomania
 
ok, just following the instructions one after the other I got here

(and I hope I'm right, because I do hate maths)

Helanren 11-24-2012 11:35 PM
Re: Cryptomania
 
Quote:
Originally Posted by Bruja (Post 1421874)
I am the size of this message_I am the xth tetrahedral number_ il.
Phew, you did all that by hand, as in K*2 = 0001011 * 0000010= 0001001 = I (and that's just the first letter) :bow:???

Doesn't work out for me though.... ;)

Spoiler:
I am the size of this message -> (29*19) 551, or 219 (characters in message)?
I am the xth tetrahedral number -> 220? So probably miscounted, and X=220
I love Y because he is my amicable partner -> 284
Please add X and Y and my prime factors -> 220+284+2+2+5+11 = 524
Times six -> 3144
Plus ninetyfour -> 3238
Square it -> 10484644
Subtract thousand eight -> 10483636
Times seven -> 73385452
Write the result as hexatridecimal number ->

base 36 ->
73385452= 1*60466176 + 7*1679616 + 24*46656 + 32*1296 + 20*36 + 28*1
-> 17OWKS :doubt: ;)


Ah well, I see Bruja's first steps are the same as mine, but she must be better at math than I am, because her answer sounds much better :biggrin:

Bolaf 11-25-2012 01:42 AM
Re: Cryptomania
 
Spoiler:
The final calculation:

I AM THE SIZE OF THIS MESSAGE -> I = 220 (=2*2*5*11)
I AM THE XTH TETRAHEDRAL NUMBER -> X = 10
I LOVE Y BECAUSE HE IS MY AMICABLE PARTNER -> Y = 284

PLEASE ADD X AND Y AND MY PRIME FACTORS -> 314 (pi greets again)
TIMES SIX -> 1884
PLUS NINETYFOUR -> 1978
SQUARE IT -> 3912484
SUBTRACT THOUSANDEIGHT -> 3911476
TIMES SEVEN -> 27380332
WRITE THE RESULT AS HEXATRIDECIMAL NUMBER -> GAUSS

Respect, Bruja, you're better in maths than you think.

:jossun: Back to our Spanish number wiz

Bruja 11-26-2012 11:05 AM
Re: Cryptomania
 
2 Attachment(s)
Quote:
Originally Posted by Helanren (Post 1422032)
you did all that by hand, as in K*2 = 0001011 * 0000010= 0001001 = I (and that's just the first letter)
....she must be better at math than I am...
Er.... well, he-he... Attachment 67679 in fact it wasn't totally my neurons' work, you know...


This is not really my idea, but I carefully read the rules and they say nothing about plagiarizing other -more clever- people:

29 - 26 - 26 - 26 - 9
30 - 1 - 0 - 1 - 18
30 - 26 - 27 - 26 - 2
30 - 1 - 16 - 1 - 2
31 - 12 - 12 - 28 - 15

And the visual clue:
Spoiler:

Helanren 11-26-2012 01:09 PM
Re: Cryptomania
 
Spoiler:
Quote:
Originally Posted by Bruja (Post 1422217)
I don't have the slightest idea how you did that final calculation :confused3
The old fashioned way :lol: - because the converter I found didn't work. Well, I thought it didn't work, and I only found out after doing it by hand how I should have used it ;)

Note: I always find it useful with binary, hex etc. numbers to visualize how they really work by comparing them to 'normal' numbers:
when you write a decimal number, say 4507, what you really say is "the number is 4*1000 + 5*100 + 0*10 + 7*1", or 4*10^3 + 5*10^2 + 0*10^1 + 7*10^0. Other notations work the same way, so a hexatridecimal 4507 would mean "4*36^3 + 5*36^2 + 0*36^1 + 7*1" etc.

Spoiler:
So (to use my scratch notes with the wrong starting number as an example :)):
- First divide 73385452 by the highest power that fits, which turns out to be the 5th power.
- 73385452/60466176 = 1.21366... so there is 1 "36^5".
- Subtract that from the number you started with, and the remainder is 12919276.
- Devide that by the next power: 12919276/1679616 = 7.69180...., so there are 7 "36^4"s in it, for a total of 11757312.
(note: at that point, I started to think something was wrong, because I figured all 'digits' should be 10 or higher, so you got to write them as letters...:))
- Subtract that again, which leaves 1161964
- 1161964 divided by the 3rd power of 36 is 24.9049..... etc. etc.


Looks like some sort of 3D magic square, which would make it a magic cube :thinking:. With a twist of course :biggrin:


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