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whee 02-15-2003 12:18 PM

Hmmm... Perhaps I didnt state it right.
The pipes cannot be redirected from the houses. They will need to be pulled from the source itself :-))

otherwise, cool google plot!
:)

whee 02-15-2003 12:19 PM

This makes it a whole new riddle... hehe.. Hard one actually.

X37375787 02-15-2003 12:20 PM

Quote:

Originally posted by whee
Hmmm... Perhaps I didnt state it right.
The pipes cannot be redirected from the houses. They will need to be pulled from the source itself :-))

otherwise, cool google plot!
:)



The problem you describe is to draw a bipartite graph of 3 nodes connected in all ways to 3 nodes, all embedded in the plane. The graph is called K3,3. A famous theorem of Kuratowsky says that all graphs can be embedded in the plane, EXCEPT those containing a subgraph that is topologically equivalent to K3,3 or K5 (the complete graph on 5 vertices, i.e., the graph with 5 nodes and 10 edges). So your problem is a minimal example of a graph that cannot be embedded in the plane.
The proofs that K5 and K3,3 are non-planar are really quite easy, and only depend on Euler's Theorem that F-E+V=2 for a planar graph. For K3,3 V is 6 and E is 9, so F would have to be 5. But each face has at least 4 edges, so E >= (F*4)/2 = 10, contradiction. For K5 V is 5 and E is 10, so F = 7. In this case each face has at least 3 edges, so E >= (F*3)/2 = 10.5, contradiction.

The difficult part of Kuratowsky is the proof in the other direction!

A quick, informal proof by contradiction without assuming Euler's Theorem: Using a map in which the houses are 1, 2, and 3 and the utilities are A, B, and C, there must be continuous lines that connect the buildings and divide the area into three sections bounded by the loops A-1-B-2-A, A-1-B-3-A, and A-2-B-3-A. (One of the areas is the infinite plane *around* whichever loop is the outer edge of the network.) C must be in one of these three areas; whichever area it is in, either 1, or 2, or 3, is *not* part of the loop that rings its area and hence is inaccessible to C. The usual quibble is to solve the puzzle by running one of the pipes underneath one of houses on its way to another house; the puzzle's instructions forbid crossing other *pipes*, but not crossing other *houses*.

gothweb 02-15-2003 12:22 PM

Quote:

Originally posted by whee
Meal first over,
Then empty back,
Then Wolf over,
Then empty back,
Then chicken over

:(

That leaves the wolf alone with the chicken on the first trip.

Jakke PNG 02-15-2003 12:22 PM

Quote:

Originally posted by whee
This makes it a whole new riddle... hehe.. Hard one actually.
Can't be made.

FATPad 02-15-2003 12:25 PM

Quote:

Originally posted by goBigtime
Heres another one:


This guy is heading into the city with a wolf, a chicken & a box of cornmeal. He comes to this little river that he has to cross in a one person kayak... he could only take himself and one other item across. He could not leave the wolf alone with the chicken, or the chicken alone with the cornmeal. How did the guy get everyone and everything across safely?

Shoot the wolf, drown the chicken, haul em over one at a time in any order you want now...

capribex 02-15-2003 12:26 PM

here's a riddle for you not even Google can help you answer:

why france?

the first one to come up with an answer will win a free ticket to belgium.

FATPad 02-15-2003 12:27 PM

Quote:

Originally posted by capribex
here's a riddle for you not even Google can help you answer:

why france?

the first one to come up with an answer will win a free ticket to belgium.

Why not?

Give my ticket to someone else...thanks.

whee 02-15-2003 12:31 PM

Quote:

Originally posted by capribex
here's a riddle for you not even Google can help you answer:

why france?

the first one to come up with an answer will win a free ticket to belgium.

Because french equals blowjobs? Take me to france then, not Belgium. They are morons anyhow.

whee 02-15-2003 12:32 PM

Quote:

Originally posted by TeenGodFather

Can't be made.

Yup, got ourselves a winner!
Welcome to Greenland

whee 02-15-2003 12:35 PM

Ok, last riddle from me this eve... :Graucho
I know a drifter.... He smokes used cigarettes!
When he collects 7 cigaretstumps, he can make them together as one, and smoke a whole one.
One day, he collects 49 stumps.
How many whole cigarettes can he smoke?
<br><br>

Jakke PNG 02-15-2003 12:48 PM

Let me make a small riddle of my own here. :)



Joe and bob are enthuastic dart players. They decide to make a bet. They wanna measure which of the 2 is a better darts player. But since they live in different places and cannot meet regularly they decide to throw the darts in a local pub. The pubkeeper will keep records. The competition would last 2 months.

When the first month is over Joe and Bob go to the pubkeeper and ask which of them has a better average on the throws for the first month. Joe is the winner with a better average.

They continue into the second month. When the month is over Joe and Bob meet at the bar again and ask which of the 2 has a better average, and is a winner for the second month. Joe again has a better average. So he's declared as the winner.

As Joe and Bob are leaving the pubkeeper stops them and says that Joe didn't win after all. When the 2 months are counted together Bob has a better average, and should be declared winner. Is this possible, or is the pubkeeper just drunk? If it is, how?




:glugglug
edit: misleading typo.

whee 02-15-2003 12:48 PM

Hey! Not a decient shot?

TDF 02-15-2003 12:50 PM

7 x 49

whee 02-15-2003 12:51 PM

Quote:

Originally posted by toodamnfli
7 x 49
so?

Jakke PNG 02-15-2003 12:51 PM

Quote:

Originally posted by whee
Hey! Not a decient shot?
7?

whee 02-15-2003 12:55 PM

Quote:

Originally posted by TeenGodFather
Let me make a small riddle of my own here. :)



Joe and bob are enthuastic dart players. They decide to make a bet. They wanna measure which of the 2 is a better darts player. But since they live in different places and cannot meet regularly they decide to throw the darts in a local pub. The pubkeeper will keep records. The competition would last 2 months.

When the first month is over Joe and Bob go to the bartender and ask which of them has a better average on the throws for the first month. Joe is the winner with a better average.

They continue into the second month. When the month is over Joe and Bob meet at the bar again and ask which of the 2 has a better average, and is a winner for the second month. Joe again has a better average. So he's declared as the winner.

As Joe and Bob are leaving the pubkeeper stops them and says that Joe didn't win after all. When the 2 months are counted together Bob has a better average, and should be declared winner. Is this possible, or is the pubkeeper just drunk? If it is, how?


Sure it's possible, you mention that Joe has the best avarage for two months. Then suddently the bartender says Bob has a better avarage. Your question is, is this possible? Well, why not? I don't get it. First default would be, one of them is cheating... lol


:glugglug


Jakke PNG 02-15-2003 12:56 PM

Quote:

Originally posted by whee

Sure it's possible, you mention that Joe has the best avarage for two months. Then suddently the bartender says Bob has a better avarage. Your question is, is this possible? Well, why not? I don't get it. First default would be, one of them is cheating... lol


No. Neither of them is cheating. The pubkeeper counted every time they threw the darts. The pubkeeper is also über honest and cannot be paid to lie. This is a riddle goddamnit. :)

So, it is possible. How?

whee 02-15-2003 12:56 PM

Quote:

Originally posted by TeenGodFather


7?

7 is the most common answer. it's not correct. Sorry dude! :Graucho

Any one else?

TDF 02-15-2003 12:57 PM

Quote:

Originally posted by whee


7 is the most common answer. it's not correct. Sorry dude! :Graucho

Any one else?

seven times 49?

Jakke PNG 02-15-2003 12:58 PM

Quote:

Originally posted by whee


7 is the most common answer. it's not correct. Sorry dude! :Graucho

Any one else?

I fail to see where the trick is.

FATPad 02-15-2003 01:00 PM

Quote:

Originally posted by TeenGodFather
Let me make a small riddle of my own here. :)



Joe and bob are enthuastic dart players. They decide to make a bet. They wanna measure which of the 2 is a better darts player. But since they live in different places and cannot meet regularly they decide to throw the darts in a local pub. The pubkeeper will keep records. The competition would last 2 months.

When the first month is over Joe and Bob go to the bartender and ask which of them has a better average on the throws for the first month. Joe is the winner with a better average.

They continue into the second month. When the month is over Joe and Bob meet at the bar again and ask which of the 2 has a better average, and is a winner for the second month. Joe again has a better average. So he's declared as the winner.

As Joe and Bob are leaving the pubkeeper stops them and says that Joe didn't win after all. When the 2 months are counted together Bob has a better average, and should be declared winner. Is this possible, or is the pubkeeper just drunk? If it is, how?




:glugglug

The pubkeeper is drunk. It can't happen.

chupacabra 02-15-2003 01:00 PM

ok, got one for everyone...

What's black and white, and has trouble getting through revolving doors..? :)

Jakke PNG 02-15-2003 01:00 PM

Quote:

Originally posted by FATPad
The pubkeeper is drunk. It can't happen.
Yes it can. How?There's a mathematical/logical solution.

Jakke PNG 02-15-2003 01:02 PM

My riddle too hard?
Can't find the answer in google? No surprise there.. I made the riddle up. It still is possible.

NetRodent 02-15-2003 01:03 PM

Quote:

Originally posted by whee
Ok, last riddle from me this eve... :Graucho
I know a drifter.... He smokes used cigarettes!
When he collects 7 cigaretstumps, he can make them together as one, and smoke a whole one.
One day, he collects 49 stumps.
How many whole cigarettes can he smoke?
<br><br>

He can make 7 cigarettes, and then with the stumps of each of those he can make an 8th cigarette.

gothweb 02-15-2003 01:04 PM

Quote:

Originally posted by chupacabra
ok, got one for everyone...

What's black and white, and has trouble getting through revolving doors..? :)

A nun with a spear through her head.

And it's 8 cigarettes.

NetRodent 02-15-2003 01:06 PM

Quote:

Originally posted by TeenGodFather
Let me make a small riddle of my own here. :)



Joe and bob are enthuastic dart players. They decide to make a bet. They wanna measure which of the 2 is a better darts player. But since they live in different places and cannot meet regularly they decide to throw the darts in a local pub. The pubkeeper will keep records. The competition would last 2 months.

When the first month is over Joe and Bob go to the bartender and ask which of them has a better average on the throws for the first month. Joe is the winner with a better average.

They continue into the second month. When the month is over Joe and Bob meet at the bar again and ask which of the 2 has a better average, and is a winner for the second month. Joe again has a better average. So he's declared as the winner.

As Joe and Bob are leaving the pubkeeper stops them and says that Joe didn't win after all. When the 2 months are counted together Bob has a better average, and should be declared winner. Is this possible, or is the pubkeeper just drunk? If it is, how?

Are the pubkeeper and bartender the same person? Did Bob play darts in both months or did Joe win by default in one of them?

chupacabra 02-15-2003 01:06 PM

Quote:

A nun with a spear through her head.
gothweb, good man..! the way i always heard it was a spear through her chest, but same/same to me. btw, that super pale girl you posted in the fine-ass thread made my day pretty much..!

Jakke PNG 02-15-2003 01:07 PM

Quote:

Originally posted by NetRodent


Are the pubkeeper and bartender the same person?

Oh, yeah. My bad.

There's 3 people involved.

Pubkeeper
Joe
Bob

Nobody else.

NetRodent 02-15-2003 01:10 PM

Quote:

Originally posted by TeenGodFather


Oh, yeah. My bad.

There's 3 people involved.

Pubkeeper
Joe
Bob

Nobody else.

Did Bob play darts in both months or did Joe win by default in one of them?

Jakke PNG 02-15-2003 01:12 PM

Quote:

Originally posted by NetRodent


Did Bob play darts in both months or did Joe win by default in one of them?

They both threw the darts both months.

Jakke PNG 02-15-2003 01:16 PM

To make it easier..
the answer lies within the word 'average'

JamesK 02-15-2003 01:16 PM

scary thread.

Jakke PNG 02-15-2003 01:19 PM

Quote:

Originally posted by Wildcard
scary thread.
STFU bitch. :glugglug

NetRodent 02-15-2003 01:23 PM

In that case here's a scenario that would work (keep in mind I have no idea how darts is scored).

In the first Month, Joe played 10 games and scored 50 points in each of them for an average of 50 points in the first month. Bob played 1 game and scored 49 points for an average of 49. Joe wins 50 to 49.

In the second month, Joe played 1 game and scored 100 points for an average of 100 points. Bob played 100 games and scored 99 points for an average of 99 points. Joe wins 100 to 99.

Overall however, Joe played 11 games and scored 600 points for an average of 54.5 points. Bob played 101 games and scored 9949 points for an average of 98.5 points. Bob wins 98.5 to 54.5.

Jakke PNG 02-15-2003 01:24 PM

Quote:

Originally posted by NetRodent
In that case here's a scenario that would work (keep in mind I have no idea how darts is scored).

In the first Month, Joe played 10 games and scored 50 points in each of them for an average of 50 points in the first month. Bob played 1 game and scored 49 points for an average of 49. Joe wins 50 to 49.

In the second month, Joe played 1 game and scored 100 points for an average of 100 points. Bob played 100 games and scored 99 points for an average of 99 points. Joe wins 100 to 99.

Overall however, Joe played 11 games and scored 600 points for an average of 54.5 points. Bob played 101 games and scored 9949 points for an average of 98.5 points. Bob wins 98.5 to 54.5.

Mui bien.:thumbsup
That's the correct answer.
now, wasn't that fun?! :)

NetRodent 02-15-2003 01:35 PM

I love word puzzles and other mind games.

gothweb 02-15-2003 01:39 PM

Quote:

Originally posted by chupacabra


gothweb, good man..! the way i always heard it was a spear through her chest, but same/same to me. btw, that super pale girl you posted in the fine-ass thread made my day pretty much..!

I love those jokes....

What's the difference between a truckload of bowling balls, and a truckload of live babies?

or

How do you make a dead baby float?

Glad you like the photos. That's pretty much why I do what I do...

Muff 02-15-2003 01:52 PM

HERE'S ONE

There are two rooms... In the first room there is 3 light switches with a door that leads to the second room. In the second room there is 3 light bulbs.

In the first room each light switch controls one light bulb in the second room. The light switches and bulbs are random.

Being able to go into either room ONLY once how can you figure out which light switch controls which lightbulb?


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