Mathematical Matrix

(10 X 10) Intersection Colour Magic Square:

1. Every row got (10 X 3) = 30 cells, with 10 different colours and each appearing three times in every row (i.e. 3 red, 3 blue, 3 green…).
2. Every column got (10 X 3) = 30 cells, with 10 different colours and each appearing three times in every column (i.e. 3 red, 3 blue, 3 green…).
3. Every intersection cell should be surrounded by four different colours.

4. Main diagonal intersection cells should contain 10 different colours.

Figure 1. (10 X 10) Colour magic square

All white spaces in the (10 X 10) colour magic square will further form a (9 X 9) colour magic square.

(9 X 9) Sub-magic square:

1. Every row/column/diagonal cells of sub-magic square got 9 different colours.
2. Chosen 9 different colours are placed in every row, column, and diagonal in jumbled locations, similar to SUDOKU.

Figure 2. (9 X 9) colour magic square can be formed in the white spaces of a  (10 X 10) colour magic square

K Subramani
International Institute of Information Technology, Bangalore
Email : Subramani.k@iiitb.ac.in