O/T too much time on my hands? [7:57484]

2002-11-14 Thread Priscilla Oppenheimer
I added a Topology Troubleshooting Puzzle to my Web site. It's not
Cisco-specific. Well, to be honest, it's not even networking specific! ;-)
But it does make you think and wonder how you could be so blind, if you're
like me when I first did it. Be sure to actually try it before going on to
the solution. OK, is that enough filler? The URL is here:

http://www.troubleshootingnetworks.com/triangles/index.htm

Offline, let me know what you think (if you have my address, which I can't
publish due to commercial unsolicited e-mail.)

Priscilla


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Re: O/T too much time on my hands? [7:57484]

2002-11-15 Thread Marc Thach Xuan Ky
Hi Priscilla,
At the end of the slideshow you ask for other methods, well I've got one
and it's really easy.  Before I start you should note that my emoticons
have broken down so you may need to insert your own.
Unfortunately my first attempt to implement the method that I'm about to
describe was error-prone and gave the answer as 31 triangles.  Now, the
shape is five-way symmetrical (which indicated that 31 was probably not
correct), it's a five-point star with the pointy nodes joined together
by extra links.  We'll call the five pointy bits distribution nodes, and
the five intersections in the middle we'll call core nodes.  The area
outside the shape is the access area.  Now any given triangle can have
either 3 distribution, 2 distribution / 1 core, 1 distribution / 2 core,
or 3 core (except that the core isn't meshed so this is zero).  We will
abbreviate these types as 3D, 2D/1C, 1D/2C, and 3C because we like
jargon. Inspection also shows that the 3D types can be subdivided into
long triangles and fat triangles (3LD and 3FD) 2D/1C types can also be
subdivided, into adjacent D's and non-adjacent D's (2AD/1C and 2ND/1C). 
With me so far?  Good because we now subdivide the 2AD/IC into three
subtypes: straight down, hanging left and hanging right (2AD/1Cbis,
2AD/1C(L) 2AD/1C(R)).  Anyway all told we now have eight categories of
triangle, we can count each category (please don't count the 3Cs during
your leisure time).
So by breaking the problem down this way, it is easier to count and thus
much quicker to implement. In fact we now just have to count from one to
five several times.  Of course if we employed a project manager the
probleem could be shared between seven triangle-counters working in
parallel.  This could bring the end-date in by a full ten percent.
Disclaimer: Note that if working in a quality-assured environment you
will need eight triangle-counters.  The 3C type cannot be assumed to
have no triangles.  Time-savings shown are for example only and cannot
be guaranteed.
Just to close, there is a further refinement of the technique.  Because
the shape is five-way symmetrical, you in fact only have to count to
one, what could be more straightforward than that?  This has the added
benefit of enabling the project to be broken up into even smaller and
more manageable tasks.
One more thing, perhaps it's a trick question.  All nodes may run STP so
all loops are removed, hence the correct answer could be zero.
BTW if you were wondering about the access area, it's not actually
relevant.
rgds
Marc TXK

Priscilla Oppenheimer wrote:
> 
> I added a Topology Troubleshooting Puzzle to my Web site. It's not
> Cisco-specific. Well, to be honest, it's not even networking specific! ;-)
> But it does make you think and wonder how you could be so blind, if you're
> like me when I first did it. Be sure to actually try it before going on to
> the solution. OK, is that enough filler? The URL is here:
> 
> http://www.troubleshootingnetworks.com/triangles/index.htm
> 
> Offline, let me know what you think (if you have my address, which I can't
> publish due to commercial unsolicited e-mail.)
> 
> Priscilla




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Re: O/T too much time on my hands? [7:57484]

2002-11-15 Thread Vinh Le
Since this is not related to Cisco-specific nor networking specific, I have
a different take at this puzzle. What I've seen is only four triangles and a
trapezoid base. Other lines are just the reflection of the triangles... It's
fun to hypothesize all the possibilities that the problem could be or should
be, etc... However, it may not be a practical approach to solve complex
problems. I'm in favor of the simplicity approach when it comes to solving
problem.



""Priscilla Oppenheimer""  wrote in message
news:200211150323.DAA25439@;groupstudy.com...
> I added a Topology Troubleshooting Puzzle to my Web site. It's not
> Cisco-specific. Well, to be honest, it's not even networking specific! ;-)
> But it does make you think and wonder how you could be so blind, if you're
> like me when I first did it. Be sure to actually try it before going on to
> the solution. OK, is that enough filler? The URL is here:
>
> http://www.troubleshootingnetworks.com/triangles/index.htm
>
> Offline, let me know what you think (if you have my address, which I can't
> publish due to commercial unsolicited e-mail.)
>
> Priscilla




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Re: O/T too much time on my hands? [7:57484]

2002-11-15 Thread Priscilla Oppenheimer
I like your methods.

Since we're networking people, I think the best answer is, run the STP on it
first, and the answer is:

ZERO triangles!

That wasn't really what I had in mind, but it's a good one! Thanks for the
insight. :-)

Priscilla

Marc Thach Xuan Ky wrote:
> 
> Hi Priscilla,
> At the end of the slideshow you ask for other methods, well
> I've got one
> and it's really easy.  Before I start you should note that my
> emoticons
> have broken down so you may need to insert your own.
> Unfortunately my first attempt to implement the method that I'm
> about to
> describe was error-prone and gave the answer as 31 triangles. 
> Now, the
> shape is five-way symmetrical (which indicated that 31 was
> probably not
> correct), it's a five-point star with the pointy nodes joined
> together
> by extra links.  We'll call the five pointy bits distribution
> nodes, and
> the five intersections in the middle we'll call core nodes. 
> The area
> outside the shape is the access area.  Now any given triangle
> can have
> either 3 distribution, 2 distribution / 1 core, 1 distribution
> / 2 core,
> or 3 core (except that the core isn't meshed so this is zero). 
> We will
> abbreviate these types as 3D, 2D/1C, 1D/2C, and 3C because we
> like
> jargon. Inspection also shows that the 3D types can be
> subdivided into
> long triangles and fat triangles (3LD and 3FD) 2D/1C types can
> also be
> subdivided, into adjacent D's and non-adjacent D's (2AD/1C and
> 2ND/1C).
> With me so far?  Good because we now subdivide the 2AD/IC into
> three
> subtypes: straight down, hanging left and hanging right
> (2AD/1Cbis,
> 2AD/1C(L) 2AD/1C(R)).  Anyway all told we now have eight
> categories of
> triangle, we can count each category (please don't count the
> 3Cs during
> your leisure time).
> So by breaking the problem down this way, it is easier to count
> and thus
> much quicker to implement. In fact we now just have to count
> from one to
> five several times.  Of course if we employed a project manager
> the
> probleem could be shared between seven triangle-counters
> working in
> parallel.  This could bring the end-date in by a full ten
> percent.
> Disclaimer: Note that if working in a quality-assured
> environment you
> will need eight triangle-counters.  The 3C type cannot be
> assumed to
> have no triangles.  Time-savings shown are for example only and
> cannot
> be guaranteed.
> Just to close, there is a further refinement of the technique. 
> Because
> the shape is five-way symmetrical, you in fact only have to
> count to
> one, what could be more straightforward than that?  This has
> the added
> benefit of enabling the project to be broken up into even
> smaller and
> more manageable tasks.
> One more thing, perhaps it's a trick question.  All nodes may
> run STP so
> all loops are removed, hence the correct answer could be zero.
> BTW if you were wondering about the access area, it's not
> actually
> relevant.
> rgds
> Marc TXK
> 
> Priscilla Oppenheimer wrote:
> > 
> > I added a Topology Troubleshooting Puzzle to my Web site.
> It's not
> > Cisco-specific. Well, to be honest, it's not even networking
> specific! ;-)
> > But it does make you think and wonder how you could be so
> blind, if you're
> > like me when I first did it. Be sure to actually try it
> before going on to
> > the solution. OK, is that enough filler? The URL is here:
> > 
> > http://www.troubleshootingnetworks.com/triangles/index.htm
> > 
> > Offline, let me know what you think (if you have my address,
> which I can't
> > publish due to commercial unsolicited e-mail.)
> > 
> > Priscilla
> 
> 




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