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'''Conway's LUX method for magic squares''' is an [[algorithm]] by [[John Horton Conway]] for creating [[magic square]]s of order 4''n''+2, where ''n'' is a [[natural number]].
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==Method==
Start by creating a (2''n''+1)-by-(2''n''+1) square array consisting of  
* ''n''+1 rows of '''L'''s,
* 1 row of '''U'''s, and
* ''n''-1 rows of '''X'''s,
and then exchange the '''U''' in the middle with the '''L''' above it.
 
Each letter represents a 2x2 block of numbers in the finished square.
 
Now replace each letter by four consecutive numbers, starting with 1, 2, 3, 4 in the centre square of the top row, and moving from block to block in the manner of the [[Siamese method]]: move up and right, wrapping around the edges, and move down whenever you are obstructed. Fill each 2x2 block according to the order prescribed by the letter:
 
:<math>\mathrm{L}: \quad \begin{smallmatrix}4&&1\\&\swarrow&\\2&\rightarrow&3\end{smallmatrix} \qquad \mathrm{U}: \quad \begin{smallmatrix}1&&4\\\downarrow&&\uparrow\\2&\rightarrow&3\end{smallmatrix} \qquad \mathrm{X}:\quad \begin{smallmatrix}1&&4\\&\searrow\!\!\!\!\!\!\nearrow&\\3&&2\end{smallmatrix}</math>
 
==Example==
Let ''n'' = 2, so that the array is 5x5 and the final square is 10x10.
:{| class="wikitable" style="text-align: center"
|L||L||L||L||L
|-
|L||L||L||L||L
|-
|L||L||U||L||L
|-
|U||U||L||U||U
|-
|X||X||X||X||X
|}
 
Start with the L in the middle of the top row, move to the 4th X in the bottom row, then to the U at the end of the 4th row, then the L at the beginning of the 3rd row, etc.
 
:{| class="wikitable" style="text-align: center"
| width="10%" | 68
| width="10%" | 65
| width="10%" | 96
| width="10%" | 93
| width="10%" |  4
| width="10%" |  1
| width="10%" | 32
| width="10%" | 29
| width="10%" | 60
| width="10%" | 57
|-
| 66 || 67 || 94 || 95 ||  2 ||  3 || 30 || 31 || 58 || 59
|-
| 92 || 89 || 20 || 17 || 28 || 25 || 56 || 53 || 64 || 61
|-
| 90 || 91 || 18 || 19 || 26 || 27 || 54 || 55 || 62 || 63
|-
| 16 || 13 || 24 || 21 || 49 || 52 || 80 || 77 || 88 || 85
|-
| 14 || 15 || 22 || 23 || 50 || 51 || 78 || 79 || 86 || 87
|-
| 37 || 40 || 45 || 48 || 76 || 73 || 81 || 84 ||  9 || 12
|-
| 38 || 39 || 46 || 47 || 74 || 75 || 82 || 83 || 10 || 11
|-
| 41 || 44 || 69 || 72 || 97 ||100 ||  5 ||  8 || 33 || 36
|-
| 43 || 42 || 71 || 70 || 99 || 98 ||  7 ||  6 || 35 || 34
|}
 
==See also==
*[[Siamese method]]
*[[Strachey method for magic squares]]
 
[[Category:Magic squares]]
 
 
{{numtheory-stub}}

Latest revision as of 17:13, 6 January 2015

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I'm a happy HostGator consumer. I utilize both HostGator and Bluehost. I advise both. This short article is a thorough HostGator evaluation.

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All HostGator plans offer unrestricted bandwidth.

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Simple CPanel Control panel.

You manage your internet sites with HostGator in a dash panel described as a CPanel. The CPanel is a simple interface to manage your sites and domains.

Easy website installment.

I particularly require with any hosting service that I make use of can install WordPress with virtually a single click or a series of simple clicks. HostGator provides Fantastico De Luxe and QuickInstall options for quickly setting up WordPress and many various other scripts to build your site (i.e. Joomla and others).

Access to 4,500 website design templates.

For any internet designer, this is big. The design templates are good. They are mostly HTML and Flash include design templates. You can select from over 115 classifications. This is a great method to build internet sites cheaply for customers. You can look into these templates for yourself on the HostGator internet site without needing to register.

Free website contractors.

With an account, you can quickly build an internet site with one of 2 website contractors you get access to. The 2 site builders are:.

Trendy Site Home builder, and.
Site Studio website home builder.

Note, you can only use the website builders for one internet site on your account. What this suggests is if you get an account where you can host endless domains, you can just build one website with a website contractor.

E-mail accounts.

You get limitless POP3 e-mail accounts with SMTP. Having e-mail accounts on your customized domain names is more expert than a gmail or hotmail e-mail account.

45 day refund assure.

You can get your refund if you cancel your account within 45 days if HostGator isn't really for you.

Video tutorials.

HostGator offers you access to many video tutorials that step you through numerous processes.

Customer support.

The operators for technical support know a lot about working in HostGator. If you have a question about tailoring a WordPress theme, HostGator won't aid you (I discovered this to be the case with Bluehost.

1 Objection of HostGator.

I needed to call HostGator to validate my account upon opening it. This didn't take long, however it was an additional step. I would have preferred merely to sign up and start without needing to call them for verification.

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