What is rotating 45 degrees? -- ¹q¸£ºô¸ô°Q½×ªO

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Date Posted: 20:09:39 12/10/01 Mon
Author: Richard In Texas
Subject:

What is rotating 45 degrees?
In reply to: Richard In Texas 's message, "Rotate each row slice 45 degree" on 23:48:01 12/07/01 Fri

What is rotating 45 degrees?



              1  2

1  2  3        \ |    ==>  1-> 2 = 45 degrees

4  5  6  ==>    \|

7  8  9       45 degree



              2  3

1  2  3       | /   ==>  2 -> 3 = 45 degrees

4  5  6  ==>  |/

7  8  9     45 degree

3X3 array has only one circle.
* : a number before and after rotating



*                                 *

1   2   3                     4   1   2 

4       6    after rotating   7       3 

7   8   9                     8   9   6

5X5 array has two circles.



Outer circle, each item shifts two locations!(45 degrees)

* : a number before and after rotating

  *                                         *

  1   2   3   4   5               11   6    1   2   3

  6              10               16                4

 11              15   rotate =>   21                5

 16              20               22               10

 21  22  23  24  25               23  24   25  20  15   



Inner circle, each item shifts 1 location.(45 degrees)

     *                                * 

     7   8   9                   12   7   8

    12      14          =>       17       9 

    17  18  19                   18  19  14

7X7 array had three circles.
Most outer circle, each item should shifts three locations.
middle circle, each item should shifts two locations.
inner circle, each item should shifts one location.

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