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**rom1****Guest**

Hello everybody,

A collegue of mine asked me an interesting question : is there any identity algorithm for the Rubik's cube (an algorithm that does not change the cube) that is composed of an odd number of movements ?

I call a movement any quarter of turn (L, L', R, R', U, U', D, D', F, F' B, B').

I have some identity algorithm examples :

RR' -> 2 moves

R2 R2 = RR RR -> 4 moves

(R2U)*30 -> 90 moves

(RU')*63 -> 126 moves

(RU)*105 -> 210 moves

I do not think so, but it will be fun trying to prove that. Thanks for sharing the problem.

What is your favorite color?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

There isn't such an algorithm.

Consider the corners of the cube:

After each move, some of the odd labeled corners go into places of even labeled corners and vice versa. So, after any odd number of moves, odd corners end up in even numbered places and the even corners end up in odd numbered places, so such an algorithm is not possible.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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Brilliant!

Now, what did you use to draw that cube?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**rom1****Member**- Registered: 2014-07-22
- Posts: 1

Ok, simple and efficient, thank you anonimnystefy!

Agnishom wrote:

What is your favorite color?

It's a bluish-yellow

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,648

That is an impossible color.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

I think they call it green.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,648

Not blue and yellow in equal proportions.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

I never thought about mixing it in equal proportions.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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ShivamS wrote:

Not blue and yellow in equal proportions.

In what proportions then?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

I used to mix a can of blue with a can of yellow and always got 2 cans of green.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

Agnishom wrote:

Brilliant!

Now, what did you use to draw that cube?

Found it on the interwebs.

*Last edited by anonimnystefy (2014-07-22 05:14:10)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

The Geebra can do it.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

Yeah, but it was easier to just find a pic on the interblag than to make it in GG or anywhere and upload it on imgur.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

I know, I was talking to Agnishom.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

Ah, yes, sorry.

Unrelated to the topic, have you gotten around to looking at Elaina's problems yet?

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

Hi;

No I have not and she is back in Florida for 3 weeks so I will not have to. I am currently very busy with Ubuntu.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

What about Ubuntu?

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

I am switching over to it and any such move is very difficult. I am almost done but almost is not good enough.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,000

Having any problems?

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

Multitudes of them. I have an XP mentality and it does not fit in a linux world.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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You will have a linux mentality soon. What problems do you have?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

I am looking for a application dependent fw. There are many for windows but none it seems for linux.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Why not ask on askubuntu.com?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,382

That is where I was looking as well as a lot of other places.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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