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

You are not logged in. #1 20091224 19:17:52
Number Daisy and Proof?http://nrich.maths.org/786 #2 20091224 23:34:13
Re: Number Daisy and Proof?Hi Bill; 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 20091225 02:15:03
Re: Number Daisy and Proof?You can improve the upper bound by considering how many pieces can be made. Why did the vector cross the road? It wanted to be normal. #4 20091225 10:30:23
Re: Number Daisy and Proof?Hi mathsyperson; 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. #5 20091225 12:37:07
Re: Number Daisy and Proof?I tried it with 1,2,4,8,16,32 but couldn't do it. The best I got was 44, using these numbers: "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #6 20091225 13:53:56
Re: Number Daisy and Proof?Hi phrontister; 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 20091225 14:39:15
Re: Number Daisy and Proof?Hi Bobby, "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #8 20091225 15:25:57
Re: Number Daisy and Proof?Hi phrontister; 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. #9 20091225 16:26:59
Re: Number Daisy and Proof?Hi Bobby, I used T&E to find the six numbers. I think 1, 2, 4 & 8 are essential for the first four numbers, and a central 1, surrounded by 8 > 2 > 4, gives the highest score: 11. So that gives 12 (or something lower) for the fifth number. 12 succeeds right up to 19, and I then tested for the sixth number, starting with 28 (one greater than the sum of the other numbers) and working down. 17 is the first one that works up to the sum of all six numbers. I doubt that number 1 would succeed anywhere but in the centre, as probably all the other numbers need access to it at some stage or other, which would not be possible if it were placed on the outer ring. I wonder what the max is. Last edited by phrontister (20091225 18:25:41) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #10 20091225 18:21:56
Re: Number Daisy and Proof?Hi phrontister; 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 20091225 21:01:33
Re: Number Daisy and Proof?This yields 45! What is unique is that the 1 is not in the center. 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. #12 20091225 21:14:19
Re: Number Daisy and Proof?Xlnt, Bobby! "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #13 20091225 21:46:01
Re: Number Daisy and Proof?Hi; 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. #14 20091226 05:06:41
Re: Number Daisy and Proof?The 45 flower is very impressive! Why did the vector cross the road? It wanted to be normal. #15 20091226 10:00:07
Re: Number Daisy and Proof?True! Have corrected the program and added to the the incorrect post. 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. #16 20091227 00:07:02
Re: Number Daisy and Proof?I think I found a 46! Last edited by phrontister (20091227 00:29:32) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #17 20091227 00:36:00
Re: Number Daisy and Proof?You sure did! I think that is maximum. 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. #18 20100802 19:49:12
Re: Number Daisy and Proof?i have this problem too,but how do you prove this? i cant get over 46................... #19 20100802 20:27:20
Re: Number Daisy and Proof?Hi nombredaisy; 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. #21 20131002 09:39:52
Re: Number Daisy and Proof?Hi; 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. 