No one could show me a two-sided pentagon?

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CowboyFromHell
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09 Sep 2010, 11:39 pm

It's been in my sig for possibly over a month. Was hoping someone could find one. Or even give enough of a damn to let me know what they found.


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MrXxx
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09 Sep 2010, 11:54 pm

You sure you don't mean a two sided POLYgon?

Not possible either way. Serious or not.

Not without bending and probably shattering the definition of what constitutes a straight line.

Even then, what you get isn't two sided, it's four sided drawn with two lines that aren't really straight.


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DandelionFireworks
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10 Sep 2010, 2:24 am

http://mathforum.org/library/drmath/view/64846.html

http://answers.yahoo.com/question/index ... 231AAcoFOv

http://en.wikipedia.org/wiki/Pentagon

I'm really sorry, but Euclidean geometry simply does not allow for such a thing to exist.


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Apple_in_my_Eye
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10 Sep 2010, 8:14 am

I don't know if this is a brilliant or dumb answer, but if you drew a pentagon on a piece of paper, it would have 2 "sides" -- the top side and the bottom side.

So IOW, a pentagon drawn in 3-D space has 2 sides, and 5 edges.



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10 Sep 2010, 11:57 am

Apple_in_my_Eye wrote:
I don't know if this is a brilliant or dumb answer, but if you drew a pentagon on a piece of paper, it would have 2 "sides" -- the top side and the bottom side.

So IOW, a pentagon drawn in 3-D space has 2 sides, and 5 edges.


It depends on what pentagons we're talking about, I say. There's no such thing as a real pentagon - they're only mathematical constructs, not things which exist in the real world. I'm not sure what the situation would be for a pentagon of some surface area (top and bottom sides) and infinitesimal thickness (sides), maybe that counts as two-sided in mathematics-land, maybe not. There's no such thing as a straight side in reality, which is one reason why there are no pentagons, and more than two dimensions, which is another. So we can at best represent a pentagon with two sides using pen and ink.

Maybe we can play semantic games with the word "side" - maybe a picture of a pentagon with two little flags on it, or something - or the "gon" part of pentagon (knee, apparently, as in genou I s'pose) might get something.


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CockneyRebel
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10 Sep 2010, 12:02 pm

I've found a two sided polygon, but not a pentagon.


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MrXxx
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10 Sep 2010, 6:55 pm

me thinks the OP is having a good chuckle right about now...


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SpottedTiger
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10 Sep 2010, 7:24 pm

Any polygon has two sides, pentagons included. The inside and the outside :wink:


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Ambivalence
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11 Sep 2010, 4:47 am

MrXxx wrote:
me thinks the OP is having a good chuckle right about now...


Is it a quote from somewhere? I googled it first off but couldn't find owt.


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JCpatriots
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11 Sep 2010, 6:42 am

See, this is one of those things with Aspergers that sucks... taking everything literally. I guarantee you this has like the easiest solution ever, but we'll never find it, because people with Aspergers take almost everything way too literally, lol. :lol:



b9
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11 Sep 2010, 7:38 am

if you are talking about a polygon, then it depends if you are talking about a 2 dimensional or 3 dimensional polygon.

for a 3 dimensional polygon, it may be possible.

if you have a sphere, and you draw a straight line on the surface of the sphere from the top to the bottom, and then you rotate the sphere and draw another straight line from the top to the bottom, then you will have 2 straight lines that are joined at the top and the bottom that enclose an area.

if you are talking about a pentagon, then it seems like a trick question.
a 2 dimensional polygon has 5 "edges", and an underside and and a top side.



CowboyFromHell
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11 Sep 2010, 8:47 am

Image


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11 Sep 2010, 11:14 am

b9 wrote:
a 2 dimensional polygon has 5 "edges", and an underside and and a top side.


I'm not sure - if it's 2 dimensional, then there is no "up" or "down" for there to be an "upside" or "downside" - we could say "we'll call the area which is within the boundary made by the edges the side" but not say what sort of side it is without having another dimension available to compare it to. :?


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MrXxx
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11 Sep 2010, 11:21 am

CowboyFromHell wrote:
Image


I was wondering if this is what you were looking for.

I presume at some point you may explain the "two sides?"

I'm also presuming you have some sort of "non-geometrical" explanation for it? "Inside-outside" or something like that?

Interesting...


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CowboyFromHell
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11 Sep 2010, 11:33 am

MrXxx wrote:
I presume at some point you may explain the "two sides?"

I'm also presuming you have some sort of "non-geometrical" explanation for it? "Inside-outside" or something like that?


Simple: Conservatives and Liberals. The "two sides" that occupy this pentagon-shaped building.

Pretty much hidden in plain site.


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MrXxx
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11 Sep 2010, 2:44 pm

CowboyFromHell wrote:
MrXxx wrote:
I presume at some point you may explain the "two sides?"

I'm also presuming you have some sort of "non-geometrical" explanation for it? "Inside-outside" or something like that?


Simple: Conservatives and Liberals. The "two sides" that occupy this pentagon-shaped building.

Pretty much hidden in plain site.


Ah! But what about all the "other" "sides?"

There are, of course, many other "sides" if that's how you want to define "side."


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