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Eebster
Eebster
Dec 17, 2009
0
#361
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:

So a complex rectangle is a rectangle with all 4 corners detached ?

so like this

_____
I       I
_____

 

No, it is a self-intersecting polygon whose vertices lie on a simple rectangle. Like this:

______
\      /
  \   /
    X
  /   \
/____\

Note that the vertices lie on a rectangle (the point of intersection in the middle isn't a vertex, just a point where the edges of the rectangle intersect.

Essentially, the vertices define the rectangle. Whether you connect them simply (with non-intersecting line segments) or non-simply (with intersecting line segments) determines whether or not it is a simple rectangle.

oh I get it now. But when would you ever come across the practical application of a complex rectangle, or is it an imaginary shape? like how you can't square root negatives unless it equals i.

The way I used "complex" here, I did not mean complex numbers (which include the imaginary numbers), but merely shapes which are not concave or convex. This terminology is not universal (some people might have other words for this shape.). However, when I said "complex" rectangle, I meant a shape that actually isn't that complicated--it was exactly what I drew in my gorgeous ASCII art. You probably usually think of that shape as two triangles, rather than one rectangle, but it can be described either way.

contrapunctus
contrapunctus
Dec 17, 2009
0
#362
Eebster wrote:
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:

So a complex rectangle is a rectangle with all 4 corners detached ?

so like this

_____
I       I
_____

 

No, it is a self-intersecting polygon whose vertices lie on a simple rectangle. Like this:

______
\      /
  \   /
    X
  /   \
/____\

Note that the vertices lie on a rectangle (the point of intersection in the middle isn't a vertex, just a point where the edges of the rectangle intersect.

Essentially, the vertices define the rectangle. Whether you connect them simply (with non-intersecting line segments) or non-simply (with intersecting line segments) determines whether or not it is a simple rectangle.

oh I get it now. But when would you ever come across the practical application of a complex rectangle, or is it an imaginary shape? like how you can't square root negatives unless it equals i.

The way I used "complex" here, I did not mean complex numbers (which include the imaginary numbers), but merely shapes which are not concave or convex. This terminology is not universal (some people might have other words for this shape.). However, when I said "complex" rectangle, I meant a shape that actually isn't that complicated--it was exactly what I drew in my gorgeous ASCII art. You probably usually think of that shape as two triangles, rather than one rectangle, but it can be described either way.

I see, so if it's not imaginary, then I can walk aong the street and see a street sign with 2 connected triangles and say "look, a complex rectangle! ahh... perfectly charaterised by its self-intersecting sides and stagnant vertices"

So can you have complex triangles or circles? And does this apply only for 2D or for 3D as well?

artfizz
artfizz
Show your flair!
Dec 18, 2009
0
#363

On the + side, this latest discussion does begin to make kurogkug's contributions intelligible.

Eebster
Eebster
Dec 18, 2009
0
#364
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:

So a complex rectangle is a rectangle with all 4 corners detached ?

so like this

_____
I       I
_____

 

No, it is a self-intersecting polygon whose vertices lie on a simple rectangle. Like this:

______
\      /
  \   /
    X
  /   \
/____\

Note that the vertices lie on a rectangle (the point of intersection in the middle isn't a vertex, just a point where the edges of the rectangle intersect.

Essentially, the vertices define the rectangle. Whether you connect them simply (with non-intersecting line segments) or non-simply (with intersecting line segments) determines whether or not it is a simple rectangle.

oh I get it now. But when would you ever come across the practical application of a complex rectangle, or is it an imaginary shape? like how you can't square root negatives unless it equals i.

The way I used "complex" here, I did not mean complex numbers (which include the imaginary numbers), but merely shapes which are not concave or convex. This terminology is not universal (some people might have other words for this shape.). However, when I said "complex" rectangle, I meant a shape that actually isn't that complicated--it was exactly what I drew in my gorgeous ASCII art. You probably usually think of that shape as two triangles, rather than one rectangle, but it can be described either way.

I see, so if it's not imaginary, then I can walk aong the street and see a street sign with 2 connected triangles and say "look, a complex rectangle! ahh... perfectly charaterised by its self-intersecting sides and stagnant vertices"

So can you have complex triangles or circles? And does this apply only for 2D or for 3D as well?

Sure, you can have nonsimple polytopes (the general name for polygons (2D), polyhedra (3D), polychora (4D), etc.) of any dimension greater than one. For example, star polyhedra like the great dodecahedron below are not simple, but they are still polyhedra.

Great dodecahedron

goldendog
goldendog
Dec 18, 2009
0
#365

You know, kurokug's very first post,

"hey guys can you help me what is the meaning of strategically position.please im dying to know this."

is seeming more and more coherent the longer the thread goes Wink .

contrapunctus
contrapunctus
Dec 18, 2009
0
#366

I see...

contrapunctus
contrapunctus
Dec 18, 2009
0
#367
Eebster wrote:
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:

So a complex rectangle is a rectangle with all 4 corners detached ?

so like this

_____
I       I
_____

 

No, it is a self-intersecting polygon whose vertices lie on a simple rectangle. Like this:

______
\      /
  \   /
    X
  /   \
/____\

Note that the vertices lie on a rectangle (the point of intersection in the middle isn't a vertex, just a point where the edges of the rectangle intersect.

Essentially, the vertices define the rectangle. Whether you connect them simply (with non-intersecting line segments) or non-simply (with intersecting line segments) determines whether or not it is a simple rectangle.

oh I get it now. But when would you ever come across the practical application of a complex rectangle, or is it an imaginary shape? like how you can't square root negatives unless it equals i.

The way I used "complex" here, I did not mean complex numbers (which include the imaginary numbers), but merely shapes which are not concave or convex. This terminology is not universal (some people might have other words for this shape.). However, when I said "complex" rectangle, I meant a shape that actually isn't that complicated--it was exactly what I drew in my gorgeous ASCII art. You probably usually think of that shape as two triangles, rather than one rectangle, but it can be described either way.

I see, so if it's not imaginary, then I can walk aong the street and see a street sign with 2 connected triangles and say "look, a complex rectangle! ahh... perfectly charaterised by its self-intersecting sides and stagnant vertices"

So can you have complex triangles or circles? And does this apply only for 2D or for 3D as well?

Sure, you can have nonsimple polytopes (the general name for polygons (2D), polyhedra (3D), polychora (4D), etc.) of any dimension greater than one. For example, star polyhedra like the great dodecahedron below are not simple, but they are still polyhedra.

 

Wait, so with that star polyhedra, how do you know the actual depth of the self intersecting sides?

taots_11
taots_11
Dec 19, 2009
0
#368

thanks the grobe,im glad that i am right.you said before that the sentence are fits to the strategy.it this means that its fits to the strategy of the general if he capture this island or not?,and if i am right can you explain to me what is the meaning of ''its fits to the strategy of the general if the general will capture this island.i wait again to your response.

Eebster
Eebster
Dec 19, 2009
0
#369
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:
Eebster wrote:
contrapunctus wrote:

So a complex rectangle is a rectangle with all 4 corners detached ?

so like this

_____
I       I
_____

 

No, it is a self-intersecting polygon whose vertices lie on a simple rectangle. Like this:

______
\      /
  \   /
    X
  /   \
/____\

Note that the vertices lie on a rectangle (the point of intersection in the middle isn't a vertex, just a point where the edges of the rectangle intersect.

Essentially, the vertices define the rectangle. Whether you connect them simply (with non-intersecting line segments) or non-simply (with intersecting line segments) determines whether or not it is a simple rectangle.

oh I get it now. But when would you ever come across the practical application of a complex rectangle, or is it an imaginary shape? like how you can't square root negatives unless it equals i.

The way I used "complex" here, I did not mean complex numbers (which include the imaginary numbers), but merely shapes which are not concave or convex. This terminology is not universal (some people might have other words for this shape.). However, when I said "complex" rectangle, I meant a shape that actually isn't that complicated--it was exactly what I drew in my gorgeous ASCII art. You probably usually think of that shape as two triangles, rather than one rectangle, but it can be described either way.

I see, so if it's not imaginary, then I can walk aong the street and see a street sign with 2 connected triangles and say "look, a complex rectangle! ahh... perfectly charaterised by its self-intersecting sides and stagnant vertices"

So can you have complex triangles or circles? And does this apply only for 2D or for 3D as well?

Sure, you can have nonsimple polytopes (the general name for polygons (2D), polyhedra (3D), polychora (4D), etc.) of any dimension greater than one. For example, star polyhedra like the great dodecahedron below are not simple, but they are still polyhedra.

 

Wait, so with that star polyhedra, how do you know the actual depth of the self intersecting sides?

Well you can't really see the inside of a solid from the outside. That's true of all solids. But you can "know" the depth because you made it and put it together, or defined it, or whatever.

Eebster
Eebster
Dec 19, 2009
0
#370
hsbgowd wrote:

Oh dear! This thread and Kurog's "thanks" followed by questions about strategy never seem to end.

Yeah, I was initially impressed by kurogkug's ability to continue a single line of questioning for so long, but now I think it's just sort of lame. There is really no originality in his trolling whatsoever--every question is the same. He definitely needs some new material.

contrapunctus
contrapunctus
Dec 20, 2009
0
#371

The Kurogkug Chronicles 20:13-37

General Kurogkug wants to capture the island of knowledge. Legend has it that whoever succeeds in capturing the island will gain knowledge of strategy to the highest possible order.

However on this island there are brain eating monsters that roam the land far and wide, never resting and never starving. General Kurogkug is aware of this and needs to find a strategy in order to capture the island without getting his brain eaten.

The definition of capture in this instance is: get through the island and reach a a maze where at the end, a golden chess.com forum thread with thousands of answers will surely give him peace.

Anyway back to the story, General Kurogkug knows that there are many brain eating monsters, but once in the maze there will be none, so his strategy to avoid his brain getting eaten is to wear a helmet and carry a special whip that curls around the back of the opponent and hits them from behind, thus he is being prophylactic and has a concrete source of counterplay. He runs through the island and whips the brain eating monsters, but alas one of the ugly bastards manages to latch onto his head... OH NO!!

Lucky for the General, his head is protected and he simply whips the monster.

Now the general finds himself at the entrance of a massive 2 way maze, in which there are only left and right turns (like a tree diagram). However, the maze is 50 levels deep and he does not have enough food to sustain himself through the long, tedious and intricate search. So what does he do? He uses his intuition because he doesn't want to calculate. The General thinks that his position is very dangerous (sharp) and needs to take it or leave it, so he uses his strategy of always turning left at an intersection.

At last he reaches the end of the maze and low and behold, the chess.com forum thread has been awaiting his arrival since the last 15 threads. General Kurogkug reads through the scroll but alas, he doesn't have a single clue what it is blabbering on about! He sits down in disgust, but realises that it was not the destination that needed to bring him the knowledge of strategy, but in fact the journey itself. It is because of this that he realised that it did indeed fit to his strategy of capturing the island...

Here ends the reading

rrrttt
rrrttt
Dec 20, 2009
0
#372

give mercy and lock the comments

contrapunctus
contrapunctus
Dec 20, 2009
0
#373
hsbgowd wrote:
contrapunctus wrote:

The Kurogkug Chronicles 20:13-37

You did miss out the part where General Kurogkug was enlightened for a brief period of time by the magical BorgQueen while travelling on the mysterious Borgship.

The Kurogkug Chronicles 20:13-37

General Kurogkug wants to capture the island of knowledge. Legend has it that whoever succeeds in capturing the island will gain knowledge of strategy to the highest possible order.

However on this island there are brain eating monsters that roam the land far and wide, never resting and never starving. General Kurogkug is aware of this and needs to find a strategy in order to capture the island without getting his brain eaten.

The definition of capture in this instance is: get through the island and reach a a maze where at the end, a golden chess.com forum thread with thousands of answers will surely give him peace.

Anyway back to the story, General Kurogkug knows that there are many brain eating monsters, but once in the maze there will be none, so his strategy to avoid his brain getting eaten is to wear a helmet and carry a special whip that curls around the back of the opponent and hits them from behind, thus he is being prophylactic and has a concrete source of counterplay. He runs through the island and whips the brain eating monsters, but alas one of the ugly bastards manages to latch onto his head... OH NO!!

Lucky for the General, his head is protected and he simply whips the monster.

Now General Kurogkug begins to serach for the maze, but he encounters the Magical Borgqueen who says, "Kurogkug getting the golden thread will get you nowhere but heed my magical advice, try and pretend that this adventure kindof like a chess game." But the General forgot to bring his glasses and thought the Magical Borgqueen was actually another brain eating monster, so he whipped him to death. After futher searching, a magical "thegrobe" shot up from under the ground and warned Kurogkug, "beware of little traps along the way, although you must follow your strategy, you must also be aware of the enemies plans." The General thanked thegrobe by asking him some more questions about strategy, but thegrobe's eardums eventually burst, (much like many other people in the golden thread) and he dies a horrible death. Along the way, the unmagical contrapunctus appeared and asked Kurogkug," would you like me to be a scribe for your adventure? Kurogkug said yes, but to come with me, you must answer my questions three "what is the meaning of strategically position?" Then contrapunctus said ahh stufit.

Now the general finds himself at the entrance of a massive 2 way maze, in which there are only left and right turns (like a tree diagram). However, the maze is 50 levels deep and he does not have enough food to sustain himself through the long, tedious and intricate search. So what does he do? He uses his intuition because he doesn't want to calculate. The General thinks that his position is very dangerous (sharp) and needs to take it or leave it, so he uses his strategy of always turning left at an intersection.

At last he reaches the end of the maze and low and behold, the chess.com forum thread has been awaiting his arrival since the last 15 threads. General Kurogkug reads through the scroll but alas, he doesn't have a single clue what it is blabbering on about! He sits down in disgust, but realises that it was not the destination that needed to bring him the knowledge of strategy, but in fact the journey itself. It is because of this that he realised that it did indeed fit to his strategy of capturing the island...

Here ends the reading

taots_11
taots_11
Dec 21, 2009
0
#374

ok i change my question guys,what is joule per coulomb?.

Eebster
Eebster
Dec 21, 2009
0
#375
kurogkug wrote:

ok i change my question guys,what is joule per coulomb?.

A volt (V), the SI unit of electric potential and electromotive force.

modernchess
modernchess
Dec 21, 2009
0
#376

It's the apocalypse!

ASpieboy
ASpieboy
Dec 21, 2009
0
#377
kurogkug wrote:

ok i change my question guys,what is joule per coulomb?.

You ever hear of Google?

contrapunctus
contrapunctus
Dec 21, 2009
0
#378
ASpieboy wrote:
kurogkug wrote:

ok i change my question guys,what is joule per coulomb?.

You ever hear of Google?

If you can find your way on to chess.com then surely you must have heard of google...

trickmweirdly
trickmweirdly
Dec 21, 2009
0
#379

*sighs* Strategy art ever elusive...

taots_11
taots_11
Dec 21, 2009
0
#380

i told you guys that im done with strategy but  seriously the word strategic is not yet.ok this is my last question to you guys.what is the meaning of this sentence ''its of strategic importance''.and if you will answer this im gonna go to joule per coulomb.i wait to your respose.

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