View Full Version : Another Conundrum... albeit small...
bayoubill
April 22nd, 2009, 7:48 pm
That other conundrum thread reminded me of this question that I asked a while back:
Do the corners of Arizona and Colorado touch each other?
If Yes, then
Do the corners of New Mexico and Utah touch each other?
If Yes, then
How can the corners of Arizona and Colorado touch each other?
Dreamy
April 22nd, 2009, 8:04 pm
I dunno:shifty:
Residential Bob
April 22nd, 2009, 8:09 pm
Take I-40 East to I-25 North, and hang a left at Pete's Gun and Bridal Shop.
JimGP20
April 22nd, 2009, 8:14 pm
I don't think both conditions can exist simultaneously. If indeed Arizona's and Colorado's corners touch, then that connection forms a barrier between the corners of Utah and New Mexico and vice versa. I believe that neither of the two exist, and that the tiny speck of land at the center should be the 51st state. It would be plenty big enough to house the Liberal Hall of Fame. :cool:
bayoubill
April 22nd, 2009, 8:26 pm
I don't think both conditions can exist simultaneously. If indeed Arizona's and Colorado's corners touch, then that connection forms a barrier between the corners of Utah and New Mexico and vice versa. I believe that neither of the two exist, and that the tiny speck of land at the center should be the 51st state. It would be plenty big enough to house the Liberal Hall of Fame. :cool:
not to mention that it should have its own congressman and two senators...
Dragon1963
April 23rd, 2009, 5:05 pm
Quite simply they do touch the area is called the four corners. Its the only place in the U.S.A that four states share a common border.
And it makes for an interesting Trivial Pursuit question.
WJStafford
April 23rd, 2009, 5:29 pm
Are the coordinates really that accurate? I highly doubt it.
bayoubill
April 23rd, 2009, 5:31 pm
Quite simply they do touch the area is called the four corners. Its the only place in the U.S.A that four states share a common border.
And it makes for an interesting Trivial Pursuit question.
but, Dragon...
if Arizona touches Colorado...
how can New Mexico touch Utah?
bayoubill
April 23rd, 2009, 5:35 pm
Are the coordinates really that accurate? I highly doubt it.
On the map,
it's simply a horizontal straight line
intersected by a vertical straight line,
drawn by some folks in Washington DC long ago...
WJStafford
April 23rd, 2009, 5:36 pm
As it turns out, last year they realized that some of Georgia is actually in Tennessee. This is why I doubt that the 4 states touch each other. Technology wasn't very accurate back in the day...
JimGP20
April 23rd, 2009, 7:49 pm
As it turns out, last year they realized that some of Georgia is actually in Tennessee. This is why I doubt that the 4 states touch each other. Technology wasn't very accurate back in the day...
For the purpose of answering the question though, let's assume that the coordinates are correct down to the molecule. If two of the diagonal states touch each other, then the other two cannot.
WJStafford
April 23rd, 2009, 10:11 pm
For the purpose of answering the question though, let's assume that the coordinates are correct down to the molecule. If to of the diagonal states touch each other, then the other two cannot.
That is absolutely correct.
meggers49
April 23rd, 2009, 10:47 pm
As it turns out, last year they realized that some of Georgia is actually in Tennessee. This is why I doubt that the 4 states touch each other. Technology wasn't very accurate back in the day...
did they learn geography from my daughter, who at one time, thought that Colorado was in Texas and Kansas was in Louisiana?
She was recently murky on Wyoming.... :rolleyes:
I gave her a map for Christmas.
WJStafford
April 23rd, 2009, 10:56 pm
did they learn geography from my daughter, who at one time, thought that Colorado was in Texas and Kansas was in Louisiana?
She was recently murky on Wyoming.... :rolleyes:
I gave her a map for Christmas.
http://www.msnbc.msn.com/id/23076509/
This link gives a brief description.
Dragon1963
April 25th, 2009, 1:52 am
but, Dragon...
if Arizona touches Colorado...
how can New Mexico touch Utah?
The same way Colorado touches Utah and Arizona touches New Mexico.
RayMan
April 25th, 2009, 1:55 am
did they learn geography from my daughter, who at one time, thought that Colorado was in Texas and Kansas was in Louisiana?
She was recently murky on Wyoming.... :rolleyes:
I gave her a map for Christmas.
So when she pinned the map up on her bedroom wall did she know that North was supposed to be up?
Dragon1963
April 25th, 2009, 1:55 am
For the purpose of answering the question though, let's assume that the coordinates are correct down to the molecule. If two of the diagonal states touch each other, then the other two cannot.
Ah, but seeing as all four states meet at the intersect point therefore they all touch.
bayoubill
April 25th, 2009, 1:58 am
The same way Colorado touches Utah and Arizona touches New Mexico.
nope...
not the same.
bayoubill
April 25th, 2009, 2:05 am
Ah, but seeing as all four states meet at the intersect point therefore they all touch.
nope...
all four states converge at the intersect point,
but the states diagonal to each other do not actually touch.
Think about it, Dragon...
If Arizona and Colorado were touching each other,
it would form a barrier that would prevent New Mexico and Utah from touching each other...
and vice versa.
free2B
April 25th, 2009, 1:07 pm
That other conundrum thread reminded me of this question that I asked a while back:
Do the corners of Arizona and Colorado touch each other?
If Yes, then
Do the corners of New Mexico and Utah touch each other?
If Yes, then
How can the corners of Arizona and Colorado touch each other?
good question
Dragon1963
April 26th, 2009, 10:51 pm
nope...
all four states converge at the intersect point,
but the states diagonal to each other do not actually touch.
Think about it, Dragon...
If Arizona and Colorado were touching each other,
it would form a barrier that would prevent New Mexico and Utah from touching each other...
and vice versa.
No, the intersect point is where all four touch. The intersect point is the only point where they can all touch.
bayoubill
April 27th, 2009, 2:16 am
No, the intersect point is where all four touch. The intersect point is the only point where they can all touch.
(sigh...) :rolleyes:
I guess you and I will just have to agree
to live in alternative universes... ;)
CID_0687
April 27th, 2009, 2:31 am
That other conundrum thread reminded me of this question that I asked a while back:
Do the corners of Arizona and Colorado touch each other?
If Yes, then
Do the corners of New Mexico and Utah touch each other?
If Yes, then
How can the corners of Arizona and Colorado touch each other?
Right there at the four corners, are there four signs for the four states?
Or would there be 8 signs?
Maybe 16?
You've blown me away with this. I looked at a map today, trying to figure it out...finally I said, "**** it!"
bayoubill
May 7th, 2009, 5:12 pm
Another conundrum...
well, maybe not conundrum, but something that makes me go "hmmm..."
In Massachusetts,
how did it come to be that Suffolk is north of Norfolk? :think:
and why is Norfolk county in pieces?
Maybe some Massachusettser (Massachusettsan? Massachusettsite?) could answer me this...
and also fill me in on what people from Massachusetts call themselves. :)
PaleoPaul
May 7th, 2009, 5:22 pm
How can a boxing RING be SQUARE?
JimGP20
May 7th, 2009, 5:24 pm
Ah, but seeing as all four states meet at the intersect point therefore they all touch.
That's impossible.
JimGP20
May 7th, 2009, 5:42 pm
No, the intersect point is where all four touch. The intersect point is the only point where they can all touch.
Nope. Check out the diagram below:
http://img.photobucket.com/albums/v284/stuckinliberalhell/fourcorners.jpg
If A and D touch, then it's impossible for C and B to touch. The same is true if C and B touch, then A and D cannot. In the real physical world, right down to a microscopic scale, there is no intersection point where all 4 states touch all of the others.
JimGP20
May 7th, 2009, 5:47 pm
How can a boxing RING be SQUARE?
How come they don't grow vegetables in Madison Square Garden?
bayoubill
May 7th, 2009, 5:49 pm
How high is up?
JimGP20
May 7th, 2009, 5:55 pm
How high is up?
How come we park on a driveway and drive on a parkway ??
ThrowCop
May 7th, 2009, 6:19 pm
Dragon is pretty well right even though actually none of them touch. Nothing really touches anything at the microscopic level you are getting at.
JimGP20
May 7th, 2009, 7:30 pm
Dragon is pretty well right even though actually none of them touch. Nothing really touches anything at the microscopic level you are getting at.
Sorry, but you're wrong. Here is an exaggerated diagram showing the four corners:
http://img.photobucket.com/albums/v284/stuckinliberalhell/fourcorners2.jpg
In this instance, A and D are touching. Please demonstrate how it is possible for C and B to touch also.
Dragon1963
May 8th, 2009, 8:26 am
Sorry, but you're wrong. Here is an exaggerated diagram showing the four corners:
http://img.photobucket.com/albums/v284/stuckinliberalhell/fourcorners2.jpg
In this instance, A and D are touching. Please demonstrate how it is possible for C and B to touch also.
Simple connect both the x and y axises by making them both straight lines all four corners touch each other.
Some people are think to hard.
bayoubill
May 8th, 2009, 8:31 am
Simple connect both the x and y axises by making them both straight lines all four corners touch each other.
Some people are think to hard.
and some people stop short... ;)
Dragon1963
May 8th, 2009, 8:33 am
and some people stop short... ;)
I subscribe to the K.I.S.S principle.
JimGP20
May 8th, 2009, 11:56 am
Simple connect both the x and y axises by making them both straight lines all four corners touch each other.
Some people are think to hard.
You're not getting this. If two opposite corners touch, it is not possible for the other two to also touch unless they are on a different plane. Some people think themselves into thinking wrong.
ThrowCop
May 8th, 2009, 12:19 pm
Sorry, but you're wrong. Here is an exaggerated diagram showing the four corners:
http://img.photobucket.com/albums/v284/stuckinliberalhell/fourcorners2.jpg
In this instance, A and D are touching. Please demonstrate how it is possible for C and B to touch also.They are 4 lines. Four lines CAN intersect - It just depends on how large an intersect "point" you want to consider - but there HAS to be an intersect point.
super cool ski instructor
May 8th, 2009, 12:24 pm
:confused:
JimGP20
May 8th, 2009, 12:45 pm
They are 4 lines. Four lines CAN intersect - It just depends on how large an intersect "point" you want to consider - but there HAS to be an intersect point.
On a grid, the point of origin for a square is 0/0. Each of the four states contains that point. So, if all four of those points meet at the intersect, there is still a space between them, however small that space might be. If two of the diagonal opposing 0/0 points touch, how is it possible for the other two to touch at the same time?
ThrowCop
May 8th, 2009, 2:02 pm
On a grid, the point of origin for a square is 0/0. Each of the four states contains that point. So, if all four of those points meet at the intersect, there is still a space between them, however small that space might be. If two of the diagonal opposing 0/0 points touch, how is it possible for the other two to touch at the same time?You pretty much have the answer right there. All four share the same intersect POINT. It is at that point ( 0,0 on a grid) that they all meet. The point is imaginary as it can be infinitely reduced, but it is still true (mathematically speaking).
bayoubill
May 8th, 2009, 2:34 pm
wow... :eek:
when the OP question first occurred to me,
I had no idea it could turn so contentious. :lol:
ThrowCop
May 8th, 2009, 2:39 pm
wow... :eek:
when the OP question first occurred to me,
I had no idea it could turn so contentious. :lol::hug:
I'm a lover, not a fighter...
bayoubill
May 8th, 2009, 2:41 pm
They are 4 lines. Four lines CAN intersect - It just depends on how large an intersect "point" you want to consider - but there HAS to be an intersect point.
Actually, there's only two lines,
which, if you're using the Cartesian coordinate system,
would be the x-axis and the y-axis.
Of course there's an intersect point where the two lines cross each other,
but that intersection is for the lines,
not for the four areas that are delinated by the lines.
VA-165 Boomer
May 8th, 2009, 2:41 pm
wow... :eek:
when the OP question first occurred to me,
I had no idea it could turn so contentious. :lol:If certain ladies here didn't think you were so good looking and witty, I 'd say you were just plain trouble.:rolleyes::)
bayoubill
May 8th, 2009, 2:46 pm
If certain ladies here didn't think you were so good looking and witty, I 'd say you were just plain trouble.:rolleyes::)
:shifty:
ThrowCop
May 8th, 2009, 2:48 pm
Actually, there's only two lines,
which, if you're using the Cartesian coordinate system,
would be the x-axis and the y-axis.
Of course there's an intersect point where the two lines cross each other,
but that intersection is for the lines,
not for the four areas that are delinated by the lines.There are four lines. Where the right angles coincide is a point, not a continuous line.
bayoubill
May 8th, 2009, 2:52 pm
There are four lines. Where the right angles coincide is a point, not a continuous line.
:wall:
okay...
I'll tell you what I told Dragon:
(sigh...) :rolleyes:
I guess you and I will just have to agree
to live in alternative universes... ;)
You're still my buddy though, right? :hug:
Dragon1963
May 9th, 2009, 2:05 am
:wall:
okay...
I'll tell you what I told Dragon:
You're still my buddy though, right? :hug:
:think:
But bill if we lived in alternate universes we wouldn't be able to post to each other.
ThrowCop
May 9th, 2009, 5:57 pm
One last try...
The are not two lines, they are four angles of four seperate objects.
All four corners share a common point. Exaggerated for emphasis. While you can argue that none of them, "touch", you cannot argue that only two of them do.
http://i124.photobucket.com/albums/p20/ThrowCop/Data%20Sources/Four-Corners.gif
It is either they all touch or none touch.