# how does this work?
**URL:** https://forums.speedlife.net/t/how-does-this-work/39077
**Category:** NYSpeed Off Topic
**Created:** [November 21, 2007, 7:19am UTC](https://forums.speedlife.net/t/how-does-this-work/39077 "2007-11-21T07:19:36Z")
**Posts on this page:** 11
**Page:** 1
### Author:  [@BluBalls](https://forums.speedlife.net/u/BluBalls)
#### Post date: [November 21, 2007, 7:19am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/1 "2007-11-21T07:19:36Z")
[http://milaadesign.com/wizardy.html](http://milaadesign.com/wizardy.html)
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### Author:  [@SpenceSpeed](https://forums.speedlife.net/u/SpenceSpeed)
#### Post date: [November 21, 2007, 7:26am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/2 "2007-11-21T07:26:27Z")
“I’m freakin-out man”, you are freakin-out…man
I have no clue…cool tho
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### Author:  [@bracketracer](https://forums.speedlife.net/u/bracketracer)
#### Post date: [November 21, 2007, 7:28am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/3 "2007-11-21T07:28:14Z")
multiples of 9. check the pattern on the symbols
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### Author:  [@BluBalls](https://forums.speedlife.net/u/BluBalls)
#### Post date: [November 21, 2007, 7:34am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/4 "2007-11-21T07:34:44Z")
[quote=“bracketracer,post:3,topic:39077"”]
multiples of 9. check the pattern on the symbols
[/quote]
but you can guess different symbols… I’d agree if it was the same sign each time.
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### Author:  [@bracketracer](https://forums.speedlife.net/u/bracketracer)
#### Post date: [November 21, 2007, 7:42am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/5 "2007-11-21T07:42:49Z")
[quote=“BluBalls,post:4,topic:39077"”]
but you can guess different symbols… I’d agree if it was the same sign each time.
[/quote]
Nope. Your answer will always be a multiple of 9. If you look at the chart of symbols, each one repeats corresponding with a multiple of 9. The chart just changes each time you retry it to make it look like it’s “guessing” a different symbol each time.
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### Author:  [@chino](https://forums.speedlife.net/u/chino)
#### Post date: [November 21, 2007, 7:46am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/6 "2007-11-21T07:46:36Z")
[quote=“bracketracer,post:5,topic:39077"”]
Nope. Your answer will always be a multiple of 9. If you look at the chart of symbols, each one repeats corresponding with a multiple of 9. The chart just changes each time you retry it to make it look like it’s “guessing” a different symbol each time.
[/quote]
word - took me 3 tries to figure out what it was doing though, interesting regardless 😛
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### Author:  [@BluBalls](https://forums.speedlife.net/u/BluBalls)
#### Post date: [November 21, 2007, 8:05am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/7 "2007-11-21T08:05:27Z")
[quote=“bracketracer,post:5,topic:39077"”]
Nope. Your answer will always be a multiple of 9. If you look at the chart of symbols, each one repeats corresponding with a multiple of 9. The chart just changes each time you retry it to make it look like it’s “guessing” a different symbol each time.
[/quote]
HA, you’re so smart… I didn’t realize the chart was changing each time.
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### Author:  [@Paulo](https://forums.speedlife.net/u/Paulo)
#### Post date: [November 21, 2007, 9:44am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/8 "2007-11-21T09:44:51Z")
it screwed up on one of mine… boooooo
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### Author:  [@BluBalls](https://forums.speedlife.net/u/BluBalls)
#### Post date: [November 21, 2007, 10:12am UTC](https://forums.speedlife.net/t/how-does-this-work/39077/9 "2007-11-21T10:12:01Z")
or you just can’t add :lol: It can’t screw up.
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### Author:  [@Jack](https://forums.speedlife.net/u/Jack)
#### Post date: [November 23, 2007, 1:05pm UTC](https://forums.speedlife.net/t/how-does-this-work/39077/10 "2007-11-23T13:05:46Z")
[quote=“93z24,post:8,topic:39077"”]
it screwed up on one of mine… boooooo
[/quote]
JEG is that you?
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### Author:  [@FightinMike](https://forums.speedlife.net/u/FightinMike)
#### Post date: [November 23, 2007, 2:36pm UTC](https://forums.speedlife.net/t/how-does-this-work/39077/11 "2007-11-23T14:36:35Z")
This is one of the first things we study in Number Theory. Its a counterintuitive result of residue systems in a congruence class, it works for 2,3 any mutiple of them. For the actual proof you need a few theorems that deal with Complete Residue Systems and Reduced Residue Systems modulo any integer.
Modulo 9 the CRS={0,1,2,3,4,5,6,7,8} and the RRS={1,2,4,5,7,8}. Since every integer can be expressed as one of {3m,3m+1,3m+2} where m is some integer, we will always produce a member of the RRS for any integer. There are a few ways to do this next part:1.) we can show through exhausting every case that for any integer modulo 9 we will subtract its congruence when we add its representative integers
2.)We can prove this as a generality for cyclic groups with generators.
If you think this is long, the real proof takes a few pages…