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

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bobbym
2010-08-02 20:27:20

Hi nombredaisy;

No one could beat the 46 and we think that is maximum. Welcome to the forum!

If you have a different 46, then please post it.

nombredaisy
2010-08-02 19:49:12

i have this problem too,but how do you prove this? i cant get over 46...................

bobbym
2009-12-27 00:36:00

You sure did! I think that is maximum.

phrontister
2009-12-27 00:07:02

I think I found a 46!

bobbym
2009-12-26 10:00:07

True! Have corrected the program and added to the the incorrect post.

mathsyperson
2009-12-26 05:06:41

The 45 flower is very impressive!
Unfortunately, I don't think the next one can make 21.

bobbym
2009-12-25 21:46:01

Hi;

46 !

Nope! Mathsyperson found an error. Upon checking the program I had a logic error. Corrected that. So the 45 is good, the 46 is not!

phrontister
2009-12-25 21:14:19

Xlnt, Bobby!

I thought of trying the 2 in the centre but didn't give it much thought, and gave up at the first hurdle.

bobbym
2009-12-25 21:01:33

This yields 45! What is unique is that the 1 is not in the center.

bobbym
2009-12-25 18:21:56

Hi phrontister;

Yes, I just got that now. You did go up to 44 a new record!

phrontister
2009-12-25 16:26:59

Hi Bobby,

Yes, 41 is possible: 8 + 17 + 12 + 4 = 41

Here's how I got them all:

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.

bobbym
2009-12-25 15:25:57

Hi phrontister;

That's close but you can't make a 41.

phrontister
2009-12-25 14:39:15

Hi Bobby,

This is it:

bobbym
2009-12-25 13:53:56

Hi phrontister;

What positions did you use those numbers in?

phrontister
2009-12-25 12:37:07

I tried it with 1,2,4,8,16,32 but couldn't do it. The best I got was 44, using these numbers: