Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20130916 12:05:49
Magic SquareGiven a set of numbers and the assurance that they can be put into a magic square, how can you put them into a magic square? Last edited by Agnishom (20130916 12:12:03) 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #2 20130916 13:40:49
Re: Magic SquareOdd or Even? tried this and it worked on n = 3. For even it is much more difficult. For singularly even ( n = 6,10,14... ) there is no known general formula. For doubly even n = 4,8,12... there are methods given by both Chandru Ami and Dr. Mike. There is a paper in the ACM for a general algorithm for all even by Collison but it is not free even though it was published in 1962 and the author is probably deceased. Sickening! It is possible to download freeware to generate them and there is a new paper that is free but I have not read it yet. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20130916 15:04:50
Re: Magic SquareThese are the numbers: 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #5 20130916 22:31:46
Re: Magic SquareHow did you do this? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #6 20130916 23:03:16
Re: Magic SquareI used a known one and plugged in your numbers. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20130916 23:39:22
Re: Magic SquareKnown one? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #9 20130917 00:17:03
Re: Magic SquareHow are these two related? I am totally confused 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #10 20130917 00:18:20
Re: Magic SquareTake a look at the square in post #8 and add 10 to every box. What do you get? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #11 20130917 00:23:26
Re: Magic SquareA box with all numbers from 11 to 26....perfect! 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #12 20130917 00:28:29
Re: Magic SquareThat is just a different 4 x 4 magic square. There are more than one. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #13 20130917 00:48:46
Re: Magic SquareYes. Is there a way to figure out the magic number without sorting a square? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #14 20130917 00:54:00
Re: Magic SquareThere is a formula for the general ones. You would have to do some extra work for your type. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #15 20130917 02:13:08
Re: Magic SquareFor example? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #16 20130917 04:21:52
Re: Magic Square
If there are n rows, the magic number must be You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #17 20130917 04:44:34
Re: Magic SquareHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 