# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

 Diagram Puzzles Goto page 1, 2, 3, 4, 5, 6, 7, 8  Next
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impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 12:54 am    Post subject: 1 What do these diagrams represent? 1:
mathgrant
A very tilted cell member

 Posted: Sun Jan 13, 2002 12:56 am    Post subject: 2 I'd guess prime numbers for number 1. As for the others. . . I can't see them!
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 1:27 am    Post subject: 3 They're coming, they're coming, slow down. Here's 2: 2:
Chuck
Daedalian Member

 Posted: Sun Jan 13, 2002 2:03 am    Post subject: 4 2: A Back to The Future script (early draft)
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 2:16 am    Post subject: 5 Actually, the trilogy (with 1885). More on the way; you guys are good.
CzarJ
Hot babe

 Posted: Sun Jan 13, 2002 2:20 am    Post subject: 6 *Is reminded of A Beautiful Mind...* Man, I wish that guy was real. He was cool=) ------------------ "Blah blah blah. Blah blah blah. Blah blah blah." --The Reverend Al Sharpton
Purgation
Daedalian Member

 Posted: Sun Jan 13, 2002 4:50 am    Post subject: 7 *doesn't get the first one*
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 5:23 am    Post subject: 8 1: Starting from the 'center' and spiraling outward (starting to the right, with the one in bold), the circles represent the integers from 1 to 100. The primes tend to fall into these diagonal lines. This pattern looks meaningful but amounts to little, as researched by Stanislaw Ulam: http://yoyo.cc.monash.edu.au/~bunyip/primes/primeSpiral.htm Of course, leave it to mathgrant to nail it immediately.
Bicho the Inhaler
Daedalian Member

 Posted: Sun Jan 13, 2002 6:00 am    Post subject: 9 Damn, mathgrant. 2 minutes is pretty good.
extropalopakettle
No offense, but....

 Posted: Sun Jan 13, 2002 6:11 am    Post subject: 10 How does that spiral go? Where are the primes 2,3,5 & 7 on there?
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 3:40 pm    Post subject: 11
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 3:48 pm    Post subject: 12 3:
daniel801
Daedalian Member

 Posted: Sun Jan 13, 2002 4:00 pm    Post subject: 13 you can count on me not to reveal the answer
test78
Daedalian Member

 Posted: Sun Jan 13, 2002 4:08 pm    Post subject: 14 since daniel chose not to I'll put it invisible just to see if I was able to solve one of these... 1 2 3 4 5 6 7 8 9 ?
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 4:20 pm    Post subject: 15 --> The inverse of digital LCD clock numbers [This message has been edited by impossibleroot (edited 01-13-2002 11:21 AM).]
Bicho the Inhaler
Daedalian Member

 Posted: Sun Jan 13, 2002 5:07 pm    Post subject: 16 I got one. Whee. I'll check test's answer to see if it agrees, but I'm sure it does.
mith
Pitbull of Truth

 Posted: Sun Jan 13, 2002 5:42 pm    Post subject: 17 i don't understand what the big deal is about the primes forming "mysterious diagonal lines". of course they're on diagonals, it's sorta like a chess board with all the odds on black squares and all the evens on white. since the only even prime is 2, all the rest of the primes appear on the same set of diagonals. with that in mind, there isn't much interesting about the diagram. i'd be much more interested if all the primes were actually connected. they arent.
mith
Pitbull of Truth

 Posted: Sun Jan 13, 2002 5:44 pm    Post subject: 18 (random rant at people seeing patterns when there isn't really anything there. sorta like the pi thing in vsn)
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 6:09 pm    Post subject: 19 Don't get me wrong, mith, I'm not really fascinated by the phenomenon either. Like I said, it amounts to little in the end. It's just that people *want* to see order where there may be none -- it would appear that understanding primes is beyond our reach.
extropalopakettle
No offense, but....

 Posted: Sun Jan 13, 2002 6:29 pm    Post subject: 20 I think this is different. Yes, it's like a checkerboard - the spiral places odd numbers on black squares, and even numbers on white squares. But if I were to randomly place checkers on black squares, I wouldn't expect them to line up. Certain diagonals seem to be very strongly filled with primes, and others not. Furthermore, there are a few that run at angles other than the obvious 45 and -45 degrees. A good pic is here:
extropalopakettle
No offense, but....

 Posted: Sun Jan 13, 2002 6:30 pm    Post subject: 21 BTW, I think I see a GOD DAMN ALIEN in there.
impossibleroot
Hi-Keeba!

 Posted: Sun Jan 13, 2002 6:35 pm    Post subject: 22 4:
Alter Ego
Daedalian Member

 Posted: Sun Jan 13, 2002 6:55 pm    Post subject: 23 The Moons of Saturn? Nah.
Milt
Daedalian Member

 Posted: Tue Jan 15, 2002 12:08 am    Post subject: 24 Invisible spoiler... M M L J A R C C G E P C T T T T T P H J P P J J J J R
impossibleroot
Hi-Keeba!

 Posted: Tue Jan 15, 2002 2:08 am    Post subject: 25 Indeed. Next one soon...
impossibleroot
Hi-Keeba!

 Posted: Thu Jan 17, 2002 7:42 pm    Post subject: 26 5:
ronl
Daedalian Member

 Posted: Thu Jan 17, 2002 9:21 pm    Post subject: 27 OK ... now you guys got me feeling really stupid. Not only could I not figure out #4 from the diagram, I can also not figure it out from the spoiler (and I don't mean I can't see the hidden message). I would really appreciate an additional, but less cryptic, hint. ------------------ This post is rated NWS: Not Worthy of a Signature.
Bicho the Inhaler
Daedalian Member

 Posted: Fri Jan 18, 2002 5:43 am    Post subject: 28 Hey, how about a hint on 4? Milt's spoiler wasn't much of one. [edit: looks like ronl had an I. S. E. (hey, I haven't seen ronl in a while)] [This message has been edited by Bicho the Inhaler (edited 01-18-2002 12:47 AM).]
mathgrant
A very tilted cell member

 Posted: Fri Jan 18, 2002 6:18 am    Post subject: 29 Cantor's Proof of Rational Number Enumerability! [This message has been edited by mathgrant (edited 01-18-2002 01:18 AM).]
Milt
Daedalian Member

 Posted: Fri Jan 18, 2002 1:21 pm    Post subject: 30 4. Matthew Mark Luke John Acts Romans...
impossibleroot
Hi-Keeba!

 Posted: Fri Jan 18, 2002 1:25 pm    Post subject: 31 Oh, not *you*, mathgrant! Care to explain for everyone else?
impossibleroot
Hi-Keeba!

 Posted: Fri Jan 18, 2002 3:10 pm    Post subject: 32
impossibleroot
Hi-Keeba!

 Posted: Fri Jan 18, 2002 3:11 pm    Post subject: 33 ISE [This message has been edited by impossibleroot (edited 01-18-2002 10:11 AM).]
daniel801
Daedalian Member

 Posted: Fri Jan 18, 2002 3:26 pm    Post subject: 34 how a bill becomes a law
Lucky Wizard
Daedalian Member

 Posted: Fri Jan 18, 2002 3:53 pm    Post subject: 35 I think 6 looks like a flowchart - possibly the one used by a computer game's manufacturers to keep track of the possibilities in the computer game. Oh, and for 4, I can't see any connection between these circles and the Bible. Though maybe the connection is blindingly obvious to Christians and not to agnostics like me.
impossibleroot
Hi-Keeba!

 Posted: Fri Jan 18, 2002 4:00 pm    Post subject: 36 Lucky Wizard, 4 is just a diagram of the books of the New Testament, with circle size representing number of chapters in each book. No discrimination meant, just as I don't mean to leave out people who haven't taken a math course (for 1) or who don't watch movies (for 2).
Bicho the Inhaler
Daedalian Member

 Posted: Fri Jan 18, 2002 4:19 pm    Post subject: 37 Jeepers, I can't believe it...that's what I thought at first, but for the rationals, traditionally you skip the repeated ones. It would work better as a proof that the set of all ordered pairs of naturals is countable...and then I thought that was getting a little obscure. But basically, to show a set is "countable," all you have to do is show that there exists a 1-1 correspondence between that set and the naturals, i.e., that there is a "counting order." (Easy example if this is a little hazy: you can count the set of all integers in the order 0, 1, -1, 2, -2, 3, -3, 4, -4, etc., so the set of all integers is countable.) Now, on the diagram, each little circle is an ordered pair of naturals (or a single rational number, if you want, although you would probably repeat a few (or an infinity)), and the counting order is the order indicated by the arrows. You can see that given any finite ordered pair, you will count up to it in a finite number of steps.
Sofis

 Posted: Fri Jan 18, 2002 6:27 pm    Post subject: 38 6: Is this a map of a maze of twisty little passages, all alike?
Boeuftete
Daedalian Member

 Posted: Fri Jan 18, 2002 6:53 pm    Post subject: 39 6 looks like a representation of a finite autotomata. (essentially a finite-state machine). But a representation of what i haven't determined yet. ------------------ This signature intentionally left blank.
impossibleroot
Hi-Keeba!

 Posted: Fri Jan 18, 2002 7:46 pm    Post subject: 40 Sofis, indeed it is. I knew someone would be old-school enough...
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