May 2024

Mathematical Matrix

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(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.

  1. 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

About IIITB

The International Institute of Information Technology Bangalore is a technical and research university in Bangalore, India. The Institute is a registered not-for-profit society funded jointly by the Government of Karnataka and the IT industry under a public-private partnership model.

For more details: Visit www.iiitb.ac.in

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