Magic squares of type 3-by-3 ( continued )

A few details on 3-by-3 true magic squares:

2	|	9	|	4
7	|	5	|	3
6	|	1	|	8

has square symmetry so there are 8 magic squares with digits 1-9 and constant number 15, i.e.:

2	|	7	|	6
9	|	5	|	1
4	|	3	|	8

after a reflection in the main diagonal.

An example of an 'almost true magic' square is:

3	|	4	|	8
10	|	5	|	0
2	|	6	|	7

since it has nine different digits, if we call 10 a digit ( in base 16 for example ) and constant number 15.

A few other nice ones with constant number 15 are:

5	|	9	|	1
1	|	5	|	9
9	|	1	|	5

7	|	3	|	5
3	|	5	|	7
5	|	7	|	3

.

Some remarks following my previous post on the subject, ( in Coast or Horizon-style )

* We are dealing with maps 'up' to a higher dimension. This would mean that if we would ever be able to travel to higher dimensions we would appear to have all sorts of symmetric qualities in the eyes of higher dimensional beings

* Since we can code a (simple) color using three digits we could say that magic squares are the visible 3-by-3 matrices while the other matrices remain invisible to the human eye.

* Any point in 3-space has a corresponding magic square related to it.

So far. Inspiration for this mini project on 3-by-3 magic squares: thanks to David Leavitt / Ramanujan.

And... OU Course M373.