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
Examples how to play with Magic Squares in any order of 4x4 Ot Ottenheim (NL)
vrijdag 17 mei 2019
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
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