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xyphic
Forum git


Joined: 14 Sep 2003
Posts: 2692
Location: Cambridge, UK

PostPosted: Wed Aug 23, 2006 6:32 pm    Post subject: Reply with quote

30 = 4! + 4 + 4 - sqrt(4)
31 = ((4! / .4) + sqrt(4)) / sqrt(4)
32 = 4! + sqrt(4) + sqrt(4) + 4
33 = 4! + 4 + (sqrt(4) / .4)
34 = 4! + (4! / sqrt(4)) - sqrt(4)
35 = ((4 * 4) - sqrt(4)) / .4
36 = 4! + 4 + 4 + 4

I think factorial is okay, but I agree on the dodginess of the decimal point. But I struggled to find anything for 31 without it.
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VoyagerKing
O ho monster


Joined: 23 Aug 2006
Posts: 13
Location: Michigan

PostPosted: Wed Aug 23, 2006 6:35 pm    Post subject: Updated Solving List #4 Reply with quote

The little problem with 58 has been corrected.

Therefore, your latest Updated Solving List is:

1 = (4+4)/(4+4)
2 = (4/4)+(4/4)
3 = (4+4+4)/4
4 = sqrt(4*4)*(4/4)
5 = (4x4 + 4) / 4
6 = (4! / 4) + 4 - 4
7 = (4+4) - (4/4)
8 = 4 + 4 + 4 - 4
9 = 4/.4 - 4/4
10 = 4/.4 + 4 – 4
11 = (4! / sqrt(4)) - (4 / 4)
12 = (4 x 4) - sqrt(4) - sqrt(4)
13 = (4! / sqrt(4)) + (4 / 4)
14 = (4 x 4) - 4 + sqrt(4)
15 = (4 x 4) - (4 / 4)
16 = 4 + 4 + 4 + 4
17 = (4 x 4) + (4 / 4)
18 = (4! / sqrt(4)) + 4 + sqrt(4)
19 = 4! - 4 - (4 / 4)
20 = ((4! x 4) / 4) – 4
21 = 4! - 4 + (4 / 4)
22 = (4 x 4) + 4 + sqrt(4)
23 = 4! - ((4 / 4) ^ 4)
24 = 4! - 4 + sqrt(4) + sqrt(4)
25 = 4! + ((4 / 4) ^ 4)
26 = 4! + sqrt(4) + 4 – 4
27 = 4! + sqrt(4) + (4 / 4)
28 = 4! + 4 + 4 - 4
29 = 4! + 4 + (4 / 4)
51 = (4!-sqrt(4))/.4 – 4
52 = 4! + 4! + sqrt(4) + sqrt(4)
53 = (4!-sqrt(4))/.4 - sqrt(4)
54 = (4!-4)/.4 + 4
56 = 4! + 4! + 4 + 4
57 = (4!-sqrt(4))/.4 + sqrt(4)
58=4!/.4 - 4/SQRT(4)
59 = 4!/.4 - 4/4
60 = [(4x4) x 4] – 4

That's 38 down, and just 22 to go!

Keep 'em comin'!
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VoyagerKing
O ho monster


Joined: 23 Aug 2006
Posts: 13
Location: Michigan

PostPosted: Wed Aug 23, 2006 6:47 pm    Post subject: Updated Solving List #5 Reply with quote

The ink on my posts barely dry, before I have to rush to do another one, he falsely complained!

Expressions for 30 thru 36 are now added to the list.

Therefore, your latest Updated Solving List is:

1 = (4+4)/(4+4)
2 = (4/4)+(4/4)
3 = (4+4+4)/4
4 = sqrt(4*4)*(4/4)
5 = (4x4 + 4) / 4
6 = (4! / 4) + 4 - 4
7 = (4+4) - (4/4)
8 = 4 + 4 + 4 - 4
9 = 4/.4 - 4/4
10 = 4/.4 + 4 – 4
11 = (4! / sqrt(4)) - (4 / 4)
12 = (4 x 4) - sqrt(4) - sqrt(4)
13 = (4! / sqrt(4)) + (4 / 4)
14 = (4 x 4) - 4 + sqrt(4)
15 = (4 x 4) - (4 / 4)
16 = 4 + 4 + 4 + 4
17 = (4 x 4) + (4 / 4)
18 = (4! / sqrt(4)) + 4 + sqrt(4)
19 = 4! - 4 - (4 / 4)
20 = ((4! x 4) / 4) – 4
21 = 4! - 4 + (4 / 4)
22 = (4 x 4) + 4 + sqrt(4)
23 = 4! - ((4 / 4) ^ 4)
24 = 4! - 4 + sqrt(4) + sqrt(4)
25 = 4! + ((4 / 4) ^ 4)
26 = 4! + sqrt(4) + 4 – 4
27 = 4! + sqrt(4) + (4 / 4)
28 = 4! + 4 + 4 - 4
29 = 4! + 4 + (4 / 4)
30 = 4! + 4 + 4 - sqrt(4)
31 = ((4! / .4) + sqrt(4)) / sqrt(4)
32 = 4! + sqrt(4) + sqrt(4) + 4
33 = 4! + 4 + (sqrt(4) / .4)
34 = 4! + (4! / sqrt(4)) - sqrt(4)
35 = ((4 * 4) - sqrt(4)) / .4
36 = 4! + 4 + 4 + 4
51 = (4!-sqrt(4))/.4 – 4
52 = 4! + 4! + sqrt(4) + sqrt(4)
53 = (4!-sqrt(4))/.4 - sqrt(4)
54 = (4!-4)/.4 + 4
56 = 4! + 4! + 4 + 4
57 = (4!-sqrt(4))/.4 + sqrt(4)
58=4!/.4 - 4/SQRT(4)
59 = 4!/.4 - 4/4
60 = [(4x4) x 4] – 4

You’re 3/4 of the way there! Neat!
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4x4
You, minion, are too saucy


Joined: 12 Feb 2004
Posts: 927
Location: Belgium

PostPosted: Wed Aug 23, 2006 7:00 pm    Post subject: Reply with quote

46 = 4! x sqrt(4) - sqrt(4) GRRRRRRR
47 = 4! x sqrt(4) - (4/4)
48 = 4! x sqrt(4) x (4/4)
49 = 4! x sqrt(4) + (4/4)
50 = 4!/.4 - 4/.4


Last edited by 4x4 on Wed Aug 23, 2006 7:12 pm; edited 2 times in total
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VoyagerKing
O ho monster


Joined: 23 Aug 2006
Posts: 13
Location: Michigan

PostPosted: Wed Aug 23, 2006 7:11 pm    Post subject: Updated Solving List #6 Reply with quote

The recent post for 46:

46 = 4! x sqrt(4) - sqrt(4)

will not fly, as it only uses 3 4s. Please correct and try again.

But, 4 new entries, for 47 thru 50 are good.

Therefore, your latest Updated Solving List is:

1 = (4+4)/(4+4)
2 = (4/4)+(4/4)
3 = (4+4+4)/4
4 = sqrt(4*4)*(4/4)
5 = (4x4 + 4) / 4
6 = (4! / 4) + 4 - 4
7 = (4+4) - (4/4)
8 = 4 + 4 + 4 - 4
9 = 4/.4 - 4/4
10 = 4/.4 + 4 – 4
11 = (4! / sqrt(4)) - (4 / 4)
12 = (4 x 4) - sqrt(4) - sqrt(4)
13 = (4! / sqrt(4)) + (4 / 4)
14 = (4 x 4) - 4 + sqrt(4)
15 = (4 x 4) - (4 / 4)
16 = 4 + 4 + 4 + 4
17 = (4 x 4) + (4 / 4)
18 = (4! / sqrt(4)) + 4 + sqrt(4)
19 = 4! - 4 - (4 / 4)
20 = ((4! x 4) / 4) – 4
21 = 4! - 4 + (4 / 4)
22 = (4 x 4) + 4 + sqrt(4)
23 = 4! - ((4 / 4) ^ 4)
24 = 4! - 4 + sqrt(4) + sqrt(4)
25 = 4! + ((4 / 4) ^ 4)
26 = 4! + sqrt(4) + 4 – 4
27 = 4! + sqrt(4) + (4 / 4)
28 = 4! + 4 + 4 - 4
29 = 4! + 4 + (4 / 4)
30 = 4! + 4 + 4 - sqrt(4)
31 = ((4! / .4) + sqrt(4)) / sqrt(4)
32 = 4! + sqrt(4) + sqrt(4) + 4
33 = 4! + 4 + (sqrt(4) / .4)
34 = 4! + (4! / sqrt(4)) - sqrt(4)
35 = ((4 * 4) - sqrt(4)) / .4
36 = 4! + 4 + 4 + 4
47 = 4! x sqrt(4) - (4/4)
48 = 4! x sqrt(4) x (4/4)
49 = 4! x sqrt(4) + (4/4)
50 = 4!/.4 - 4/.4
51 = (4!-sqrt(4))/.4 – 4
52 = 4! + 4! + sqrt(4) + sqrt(4)
53 = (4!-sqrt(4))/.4 - sqrt(4)
54 = (4!-4)/.4 + 4
56 = 4! + 4! + 4 + 4
57 = (4!-sqrt(4))/.4 + sqrt(4)
58=4!/.4 - 4/SQRT(4)
59 = 4!/.4 - 4/4
60 = [(4x4) x 4] – 4

Only 11 more to go.
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xyphic
Forum git


Joined: 14 Sep 2003
Posts: 2692
Location: Cambridge, UK

PostPosted: Wed Aug 23, 2006 7:11 pm    Post subject: Reply with quote

42 = (4! * sqrt(4)) - 4 - sqrt(4)
43 = (4! * sqrt(4)) - (sqrt(4) / .4)
44 = ((4 * 4) / .4) + 4
45 = ((4 * 4) + sqrt(4)) / .4
46 = (4! * sqrt(4)) - (4 / sqrt(4))
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Titanium22
your chamber lye breeds fleas


Joined: 14 Sep 2003
Posts: 12253

PostPosted: Wed Aug 23, 2006 7:21 pm    Post subject: Reply with quote

Are we allowed to know why you posted your challenge in the first place...? Question


T22
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4x4
You, minion, are too saucy


Joined: 12 Feb 2004
Posts: 927
Location: Belgium

PostPosted: Wed Aug 23, 2006 7:30 pm    Post subject: Reply with quote

38 = 4/.4 x 4 - sqrt(4)

40 = 4! + (4 + 4) x sqrt(4)
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VoyagerKing
O ho monster


Joined: 23 Aug 2006
Posts: 13
Location: Michigan

PostPosted: Wed Aug 23, 2006 7:32 pm    Post subject: Why I Posted The 4 4s Reply with quote

I was recently asked, why I posted my little 4 4s challenge.

Well, I've got a Huge collection of puzzles, that I would really like to share. I enjoy seeing others solve puzzles that I have tried, and think are fun and/or interesting.

I think time limits make things more interesting.

I am New here, and I posted my little puzzle to see what kind of reaction it would receive.

Did I break any rules of the site? Should I change the way I post puzzles?
If so, how? (I am allowed to post puzzles, aren't I?)

I hope I answered the question ok, and, would appreciate answers to my questions.

Thanks in advance!
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lotjegetikt
Thou odoriferous stench


Joined: 18 Jul 2004
Posts: 1729
Location: The Netherlands

PostPosted: Wed Aug 23, 2006 7:40 pm    Post subject: Reply with quote

37 = ((Sqrt(4) + 4!) / Sqrt(4)) + 4!
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Titanium22
your chamber lye breeds fleas


Joined: 14 Sep 2003
Posts: 12253

PostPosted: Wed Aug 23, 2006 7:40 pm    Post subject: Re: Why I Posted The 4 4s Reply with quote

VoyagerKing wrote:
I've got a Huge collection of puzzles, that I would really like to share. I enjoy seeing others solve puzzles that I have tried, and think are fun and/or interesting.

I think time limits make things more interesting.

I am New here, and I posted my little puzzle to see what kind of reaction it would receive.

Did I break any rules of the site?

We have more than 30 contests on this site, with more being added all the time - but they all contain original puzzles and not "recycled" puzzles from other sources. If you'd like to try your hand at writing some original material, please feel free to PM me and we'll talk about what is involved.

But in terms of your final question - no, you haven't broken any site rules by posting your teaser here in the General Forum. I'd have deleted your original post if you had...LOL!


T22
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BrainBoggler
Thou whoreson cullionly barbermonger


Joined: 08 Jun 2004
Posts: 118

PostPosted: Wed Aug 23, 2006 7:42 pm    Post subject: Reply with quote

Voyager King, This is an enjoyable challenge you've posted here! I'm just reading this thread for the first time today, and it looks as though the collective efforts are in good position to complete the task by Friday. Good job, everyone!

I agree that the use of the decimal is a little dodgy, especially since 9 = 4 + 4 + (4/4) seems much more straightforward. Granted, it perhaps doesn't look as fancy as 4/.4 - 4/4 --- to each his/her own.

Quick question: I didn't see any restriction stating that every 4 has to be separated by at least one operator, so does that mean the following are valid for your challenge?

43 = 44 - 4 / 4
44 = 44 - 4 + 4
45 = 44 + 4/4

Sean (BrainBoggler)
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VoyagerKing
O ho monster


Joined: 23 Aug 2006
Posts: 13
Location: Michigan

PostPosted: Wed Aug 23, 2006 7:52 pm    Post subject: Updated Solving List #7 Reply with quote

Expressions for 37,38,40,42,43,44,45,and 46 have been solved!

Therefore, your Updated Solving List is:

1 = (4+4)/(4+4)
2 = (4/4)+(4/4)
3 = (4+4+4)/4
4 = sqrt(4*4)*(4/4)
5 = (4x4 + 4) / 4
6 = (4! / 4) + 4 - 4
7 = (4+4) - (4/4)
8 = 4 + 4 + 4 - 4
9 = 4/.4 - 4/4
10 = 4/.4 + 4 – 4
11 = (4! / sqrt(4)) - (4 / 4)
12 = (4 x 4) - sqrt(4) - sqrt(4)
13 = (4! / sqrt(4)) + (4 / 4)
14 = (4 x 4) - 4 + sqrt(4)
15 = (4 x 4) - (4 / 4)
16 = 4 + 4 + 4 + 4
17 = (4 x 4) + (4 / 4)
18 = (4! / sqrt(4)) + 4 + sqrt(4)
19 = 4! - 4 - (4 / 4)
20 = ((4! x 4) / 4) – 4
21 = 4! - 4 + (4 / 4)
22 = (4 x 4) + 4 + sqrt(4)
23 = 4! - ((4 / 4) ^ 4)
24 = 4! - 4 + sqrt(4) + sqrt(4)
25 = 4! + ((4 / 4) ^ 4)
26 = 4! + sqrt(4) + 4 – 4
27 = 4! + sqrt(4) + (4 / 4)
28 = 4! + 4 + 4 - 4
29 = 4! + 4 + (4 / 4)
30 = 4! + 4 + 4 - sqrt(4)
31 = ((4! / .4) + sqrt(4)) / sqrt(4)
32 = 4! + sqrt(4) + sqrt(4) + 4
33 = 4! + 4 + (sqrt(4) / .4)
34 = 4! + (4! / sqrt(4)) - sqrt(4)
35 = ((4 * 4) - sqrt(4)) / .4
36 = 4! + 4 + 4 + 4
37 = ((Sqrt(4) + 4!) / Sqrt(4)) + 4!
38 = 4/.4 x 4 - sqrt(4)
39
40 = 4! + (4 + 4) x sqrt(4)
41
42 = (4! * sqrt(4)) - 4 - sqrt(4)
43 = (4! * sqrt(4)) - (sqrt(4) / .4)
44 = ((4 * 4) / .4) + 4
45 = ((4 * 4) + sqrt(4)) / .4
46 = (4! * sqrt(4)) - (4 / sqrt(4))
47 = 4! x sqrt(4) - (4/4)
48 = 4! x sqrt(4) x (4/4)
49 = 4! x sqrt(4) + (4/4)
50 = 4!/.4 - 4/.4
51 = (4!-sqrt(4))/.4 – 4
52 = 4! + 4! + sqrt(4) + sqrt(4)
53 = (4!-sqrt(4))/.4 - sqrt(4)
54 = (4!-4)/.4 + 4
55
56 = 4! + 4! + 4 + 4
57 = (4!-sqrt(4))/.4 + sqrt(4)
58 = 4!/.4 - 4/SQRT(4)
59 = 4!/.4 - 4/4
60 = [(4x4) x 4] – 4

Just 3 expressions remain, namely, those needed for 39, 41, and 55.
I strongly suspect, that they won't remain for long.
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lotjegetikt
Thou odoriferous stench


Joined: 18 Jul 2004
Posts: 1729
Location: The Netherlands

PostPosted: Wed Aug 23, 2006 8:05 pm    Post subject: Reply with quote

39 = ((4 + Sqrt(4)) / 0.4) + 4!
41 = ((Sqrt(4) + 4!) / 0.4) - 4!
55 = ((4! - 0.4) / 0.4) - 4
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VoyagerKing
O ho monster


Joined: 23 Aug 2006
Posts: 13
Location: Michigan

PostPosted: Wed Aug 23, 2006 8:06 pm    Post subject: Message To BrainBoggler Reply with quote

Hi BrainBoggler!

I'm glad that you think the puzzle is enjoyable. There is one little problem. It's not my own. Someone gave the puzzle to me years ago, and then, the challenge was only to get to 20!

I did not read all of the critical background on this site, and I just jumped in and posted my little teaser and challenge.

I do have some original puzzles of my own. And I guess I'll have to consider posting some of those, rather than continue to post unoriginal material, no matter how enjoyable it might be.

But enough of that. To answer your question, Yes! You may post expressions such as:

43 = 44 - 4 / 4
44 = 44 - 4 + 4
45 = 44 + 4/4

They don't break any rules of the teaser at all.

There has been a terrific collective effort in solving my puzzle, and in such a short amount of time! I'm impressed!

Thanks for your inquiry BrainBoggler.
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