maandag 30 september 2019

The Tilburg T in a magical square.

The square is magic because the sum of the numbers in all rows, columns and diagonals is the same, namely 131104.

In each sub-square, the T is formed by either the lowest or the highest consecutive numbers in that series and the remainder of the sub-square just the highest or lowest numbers in the same series.

E.g. the two light blue squares:
- in the upper left square, the T starts with the number 1 and ends with 68
- in the square, slightly off center in the lower right, the T starts with 4096 and ends with 4029

Note that the sum of the 2 numbers at the top left in both sub-squares is 4097. This also applies to the
numbers that are placed in the 2nd to 256th places (bottom right in the sub-square). All numbers are linked!


This applies to every part square with the same color.

The square is somewhat stretched, because the logo of the Tilburg T has a ratio of 6:7.



maandag 16 september 2019

A spiral in the magic square

After experimenting a bit I managed to make a spiral in de centre of the magic square.

First I made a 16x16 square with the smallest numbers (1-16) in the centre.



Then I found a way to manipulate the order of this numbers.


And from this a got this idee of making a spiral where numbers are places from 1 till 16.
However a spiral of only 16 numbers is not so interesting, so I tryed with the numbers 1-64 in a 32x32 square.
And see here the result.


The square is magic at its rows, column an head-diagonals.