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.

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.

Which numbers are missing?

Do you know the Answer?

A new magic Square: 3 in 1 !

Did I invent a new magic square?
It is special at least.

I made a 64 x 64 square.
Not with compex propertys, according to the rules of magic squares.

But ...

I think is very special, because it contains 3 squares in one!

64 x 64
Contains the numbers 1 - 4096, each ones
The sum of de rows, culumn and all diagonals is 131104

In de center there is another square
16 x 16
Contains the numbers 1 -256
The sum of de rows, culumn and all diagonals is 2056

And in de center of this 16 x 16 square is even a smaller one
4 x 4
Contains the numbers 1 -16
The sum of de rows, culumn and all diagonals is 34

Just look at it.

Do you like playing with numbers?

Fill the square - can you solve it?

But first read the rules beneath!

Post the answer in the reaction area, like

0000

0000

0000

0000

The rules

- Use every number (1-16) only ones

- The sum of each random row of 4 number is the numer X

 

- The sum of each random block of 2x2 is the number X

- The sum the corners of each random square is the number X

Can you make this puzzle?

Fill the square - can you solve it?

But first read the rules beneath!

Post the answer in the reaction area, like

0000

0000

0000

0000

The rules

- Use every number (1-16) only ones

- The sum of each random row of 4 number is the numer X

 

- The sum of each random block of 2x2 is the number X



- The sum the corners of each random square is the number X

How to make a perfect magic square manually! Part 1

Create a flawless magic square An - step by step - explanation of making a perfect magic square without computer. Any size is possible, as long as there is an order of 4x4 in it. So even 4 billion by 4 billion is possible, but takes quite a while. :) Formula for the sets (only for constant 1 to the right and n/4 down) A1 = (n²+1)-n²/16 A2 = (n²+1)+n²/16 horizontal sets B1 = (n²+1)-n²/8 B2 = (n²+1)+n²/8 vertical sets C1 = (n²+1)-n²/4 C2 = (n²+1)+n²/4 mirroring left -right D1 = (n²+1)-n²/2 D2 = (n²+1)+n²/2 mirroring top - bottom Example of the sets 8x8 square 20x20 square 8192x8192 square n = 8 n = 20 n = 8192 A1 = 61 A2 = 69 A1 = 376 A2 = 426 A1 = 62914561 A2 = 71303169 B1 = 57 B2 = 73 B1 = 351 B2 = 451 B1 = 58720257 B2 = 75497473 C1 = 49 C2 = 81 C1 = 301 C2 = 501 C1 = 50331649 C2 = 83886081 D1 = 33 D2 = 97 D1 = 201 D2 = 601 D1 = 33554433 D2 = 100663297 Pattern of the constant (repeating through the whole square) To the right + - - + = +1 -1 -1 +1 - + + - = -1 +1 +1 -1 Down + - = +n/4 -n/4 - + = -n/4 +n/4 - + = -n/4 +n/4 + - = +n/4 -n/4 Look at the very nice website https://www.magischvierkant.com/two-d... to see how magic this systeem of creating magic squares is (in English or Dutch) or look at Part 2 the demonstration of the extra magic aspects: https://youtu.be/6ApB7RolNZo