Boxy Numbers

April 16, 2008 at 11:30 pm | Posted in Uncategorized | Leave a comment

My previous post “Basic Primes in Scala” ended with some ideas of how to salvage some use out of the algorithm. I mentioned representing the numbers as concentric circles. Playing around with a text editor, I converted some of the numbers to arrangements of concentric squares.

Left to right are the factors, rearrange at will. The vertical arrangement represents the power.

Here are some of the results shown in the previously generated style, and recreated as groups of concentric squares.

 

2:[]

[]


3:[[]]
 ____
[    ]
[ [] ]
[____]


4:[]([])

[]

[]


5:[[[]]]
 ________
[  ____  ]
[ [    ] ]
[ [ [] ] ]
[ [____] ]
[________]


6:[[]][]
 ____
[    ]
[ [] ]
[____] []


7:[[]([])]
 ____
[    ]
[ [] ]
[    ]
[ [] ]
[____]


8:[]([[]])
 ____
[    ]
[ [] ]
[____]

[]


9:[[]]([])

[]
 ____
[    ]
[ [] ]
[____]


10:[[[]]][]
 ________
[  ____  ]
[ [    ] ]
[ [ [] ] ]
[ [____] ]
[________] []


11:[[[[]]]]
 ____________
[  ________  ]
[ [  ____  ] ]
[ [ [    ] ] ]
[ [ [ [] ] ] ]
[ [ [____] ] ]
[ [________] ]
[____________]

...

293:[[[[[[]]]]][]]
 _______________________
[  ________________     ]
[ [  ____________  ]    ]
[ [ [  ________  ] ]    ]
[ [ [ [  ____  ] ] ]    ]
[ [ [ [ [    ] ] ] ]    ]
[ [ [ [ [ [] ] ] ] ]    ]
[ [ [ [ [____] ] ] ]    ]
[ [ [ [________] ] ]    ]
[ [ [____________] ]    ]
[ [________________] [] ]
[_______________________]


294:[[]([])]([])[[]][]

[]
 ____
[    ]
[ [] ]  ____
[    ] [    ]
[ [] ] [ [] ]
[____] [____] []


295:[[[[]([])]]][[[]]]
 ____________
[  ________  ]
[ [  ____  ] ]
[ [ [    ] ] ]
[ [ [ [] ] ] ]  ________
[ [ [    ] ] ] [  ____  ]
[ [ [ [] ] ] ] [ [    ] ]
[ [ [____] ] ] [ [ [] ] ]
[ [________] ] [ [____] ]
[____________] [________]


296:[[[]][]([])][]([[]])
 ___________   ____
[  ____     ] [    ]
[ [    ] [] ] [ [] ]
[ [ [] ]    ] [____]
[ [____] [] ]
[___________] []


297:[[[[]]]][[]]([[]])
 ____________   ____
[  ________  ] [    ]
[ [  ____  ] ] [ [] ]
[ [ [    ] ] ] [____]
[ [ [ [] ] ] ]  ____
[ [ [____] ] ] [    ]
[ [________] ] [ [] ]
[____________] [____]


298:[[[]([])][[[]]]][]
 ___________________
[  ____   ________  ]
[ [    ] [  ____  ] ]
[ [ [] ] [ [    ] ] ]
[ [    ] [ [ [] ] ] ]
[ [ [] ] [ [____] ] ]
[ [____] [________] ]
[___________________] []


299:[[[]]([])][[[]][]]
 ________
[        ]
[  []    ]  ___________
[  ____  ] [  ____     ]
[ [    ] ] [ [    ]    ]
[ [ [] ] ] [ [ [] ]    ]
[ [____] ] [ [____] [] ]
[________] [___________]


300:[[[]]]([])[[]][]([])

[]
 ________
[  ____  ]
[ [    ] ]  ____
[ [ [] ] ] [    ] []
[ [____] ] [ [] ]
[________] [____] []

One of the IP addresses of this blog: 72.233.2.56:

 ______________________   ____________
[                      ] [  ________  ]
[ []                   ] [ [  ____  ] ]                ____________
[  ________            ] [ [ [    ] ] ]               [  ________  ]
[ [  ____  ]           ] [ [ [ [] ] ] ]  ___________  [ [  ____  ] ]  ____          ____
[ [ [    ] ]  ____     ] [ [ [    ] ] ] [  ____     ] [ [ [    ] ] ] [    ]        [    ]
[ [ [ [] ] ] [    ]    ] [ [ [ [] ] ] ] [ [    ]    ] [ [ [ [] ] ] ] [ [] ]  ____  [ [] ]
[ [ [____] ] [ [] ]    ] [ [ [____] ] ] [ [ [] ]    ] [ [ [____] ] ] [    ] [    ] [____]
[ [________] [____] [] ] [ [________] ] [ [____] [] ] [ [________] ] [ [] ] [ [] ]
[______________________] [____________] [___________] [____________] [____] [____] []

Explanation: The IP 72.233.2.56 = 1223230008

1223230008 = 863 * 59 * 13 * 11 * 7 * 3 * 2^3

863 is the 150th prime. 150 = 5^2 * 3 * 2

59 is the 17th prime. 17 is the 7th prime.

13 is the 6th prime.

Advertisements

Leave a Comment »

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Create a free website or blog at WordPress.com.
Entries and comments feeds.

%d bloggers like this: