I had seen this many moons ago, but my BIL reminded me of it over the
holidays.
A guy has a 3' x 8' board.
He needs to fill a hole 2' x 12'
He cuts the board into 2 pieces, which fit the hole perfectly.
How?
I'm sure some of you have seen this, but it still demonstrates what
'thinking out of the box' is all about.
I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
Result will be posted in abpw in the next few days.
PS. Board-stretchers are not allowed.
Rob
"Robatoy" <[email protected]> wrote in message
news:[email protected]...
> I had seen this many moons ago, but my BIL reminded me of it over the
> holidays.
>
> A guy has a 3' x 8' board.
>
> He needs to fill a hole 2' x 12'
>
> He cuts the board into 2 pieces, which fit the hole perfectly.
>
> How?
>
> I'm sure some of you have seen this, but it still demonstrates what
> 'thinking out of the box' is all about.
>
> I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
> Result will be posted in abpw in the next few days.
>
> PS. Board-stretchers are not allowed.
One simple solution is cut the board diagonally from corner to corner, slide
the two pieces along the cut edge until the width of both pieces equals 2'.
You should then have your 2' x 12' board.
--
www.e-woodshop.net
Last update: 11/06/04
On Mon, 03 Jan 2005 10:14:33 -0500, Robatoy <[email protected]>
wrote:
>I had seen this many moons ago, but my BIL reminded me of it over the
>holidays.
>
>A guy has a 3' x 8' board.
>
>He needs to fill a hole 2' x 12'
>
>He cuts the board into 2 pieces, which fit the hole perfectly.
>
>How?
>
>I'm sure some of you have seen this, but it still demonstrates what
>'thinking out of the box' is all about.
>
>I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
>Result will be posted in abpw in the next few days.
Cut into peice "x" and peice "o" as below
|o|xx|
|o|xx|
|o|xx|
|o|xx|
|oo|x|
|oo|x|
|oo|x|
|oo|x|
Rejoin like this:
|x x|
|x x|
|x x|
|x x|
|o|x|
|o|x|
|o|x|
|o|x|
|o o|
|o o|
|o o|
|o o|
So, do I win a shiny new tool? :)
>PS. Board-stretchers are not allowed.
>
>Rob
Aut inveniam viam aut faciam
In article <[email protected]>, "Upscale" <[email protected]> wrote:
>
>"Doug Miller" <[email protected]> wrote in message news:idfCd.4053
>> ___________________________
>> | _________| |
>> |________|_________________|
>
>If I understand your picture properly, I thought of doing it the same way.
>But for all practical purposes, it's impossible to make a 90° turn while
>continuing the same cut.
Not hard at all with a saber saw or a scroll saw.
> And if it could be done, then in actuality, then
>the puzzle could be done with one cut.
Well, yes.
--
Regards,
Doug Miller (alphageek-at-milmac-dot-com)
Get a copy of my NEW AND IMPROVED TrollFilter for NewsProxy/Nfilter
by sending email to autoresponder at filterinfo-at-milmac-dot-com
You must use your REAL email address to get a response.
In article <[email protected]>, "Mike in Arkansas" <[email protected]> wrote:
>So it's a problem of semantics? To be absolutely accurate about this,
>Doug's solution will not work in the real world. All his suggested
>methods of cutting are going to leave a kerf and the two boards will no
>longer be two feet across but will be 1/8 inch or so shy.
>
So cut it with a knife. Sheesh.
--
Regards,
Doug Miller (alphageek-at-milmac-dot-com)
Get a copy of my NEW AND IMPROVED TrollFilter for NewsProxy/Nfilter
by sending email to autoresponder at filterinfo-at-milmac-dot-com
You must use your REAL email address to get a response.
I can do it with two cuts but not yet with one
<< From: Robatoy [email protected]
Date: Mon, Jan 3, 2005 7:14 AM
Message-id: <[email protected]>
I had seen this many moons ago, but my BIL reminded me of it over the
holidays.
A guy has a 3' x 8' board.
He needs to fill a hole 2' x 12'
He cuts the board into 2 pieces, which fit the hole perfectly.
How?
I'm sure some of you have seen this, but it still demonstrates what
'thinking out of the box' is all about.
I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
Result will be posted in abpw in the next few days.
PS. Board-stretchers are not allowed.
Rob >><BR><BR>
In article <[email protected]>, "Upscale" <[email protected]> wrote:
>
>"Doug Miller" <[email protected]> wrote in message news:idfCd.4053
>> ___________________________
>> | _________| |
>> |________|_________________|
>
>If I understand your picture properly,
View it in a fixed-space font as I suggested when I posted it, and you should
have no difficulty understanding it.
> I thought of doing it the same way.
>But for all practical purposes, it's impossible to make a 90° turn while
>continuing the same cut.
scroll saw
band saw
saber saw
keyhole saw
>And if it could be done, then in actuality, then
>the puzzle could be done with one cut.
Obviously it can, on both counts. Note that the statement of the problem
specified two *pieces*, and placed no restrictions on the number of cuts.
--
Regards,
Doug Miller (alphageek-at-milmac-dot-com)
Get a copy of my NEW AND IMPROVED TrollFilter for NewsProxy/Nfilter
by sending email to autoresponder at filterinfo-at-milmac-dot-com
You must use your REAL email address to get a response.
Simple, The 2' hole is round. 2' in diameter and 12' deep. A guy cuts a 2'
circle out of the board and it fits perfectly in the hole.
Dave
"Robatoy" <[email protected]> wrote in message
news:[email protected]...
>I had seen this many moons ago, but my BIL reminded me of it over the
> holidays.
>
> A guy has a 3' x 8' board.
>
> He needs to fill a hole 2' x 12'
>
> He cuts the board into 2 pieces, which fit the hole perfectly.
>
> How?
>
> I'm sure some of you have seen this, but it still demonstrates what
> 'thinking out of the box' is all about.
>
> I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
> Result will be posted in abpw in the next few days.
>
> PS. Board-stretchers are not allowed.
>
> Rob
"Leon" <[email protected]> wrote in message
news:[email protected]...
> Cut the 3x8 so that you end up with 1, 2x8 and 1, 1x8. then cut the 1x8
> into 2, 1x4. Put those at the end of the2x8 piece.
> I e-mailed you a DWG.drawing.
That's three pieces instead of the required two.
"Mike in Arkansas" <[email protected]> wrote in message
news:[email protected]...
> So it's a problem of semantics? To be absolutely accurate about this,
> Doug's solution will not work in the real world. All his suggested
> methods of cutting are going to leave a kerf and the two boards will no
> longer be two feet across but will be 1/8 inch or so shy.
You mustn't let details/reality like that interfere with solving a thought
problem.
"Paul Kierstead" <[email protected]> wrote in message
news:[email protected]...
> Mike in Arkansas wrote:
> > So it's a problem of semantics? To be absolutely accurate about this,
> > Doug's solution will not work in the real world. All his suggested
> > methods of cutting are going to leave a kerf and the two boards will no
> > longer be two feet across but will be 1/8 inch or so shy.
> >
>
> Just in case it wasn't obvious to everyone, I just like to point out
> there is *no* real world solution; since both boards have the same
> surface area (288 sq.in.), and all saws have some kerf, you can't cut
> the board even once and expect the same surface area unless you recover
> the sawdust, mix it with resin or something and glue it back on (an
> interesting idea, but not in the spirit of the rules).
Hmm, if the board is thin enough (say, 1/16th cork) can we get there with a
knife?
> Given that, I think lacking a perfect 90 degree turn doesn't really
matter.
"Doug Miller" <[email protected]> wrote in message news:3TgCd.9818
> > I thought of doing it the same way.
> >But for all practical purposes, it's impossible to make a 90° turn while
> >continuing the same cut.
>
> scroll saw
> band saw
> saber saw
> keyhole saw
Maybe in your world you can make a sharp 90° cut with those tools, but my
world doesn't allow for it.
> Obviously it can, on both counts. Note that the statement of the problem
> specified two *pieces*, and placed no restrictions on the number of cuts.
Well, there I misread the rules of the puzzle. I thought it had to be two
cuts which I couldn't figure out.
Robatoy <[email protected]> wrote:
>I had seen this many moons ago, but my BIL reminded me of it over the
>holidays.
>
>A guy has a 3' x 8' board.
>
>He needs to fill a hole 2' x 12'
>
>He cuts the board into 2 pieces, which fit the hole perfectly.
>
>How?
>
>I'm sure some of you have seen this, but it still demonstrates what
>'thinking out of the box' is all about.
>
>I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
>Result will be posted in abpw in the next few days.
>
>PS. Board-stretchers are not allowed.
>
>Rob
Looks pretty trivial. My answer is the same as Doug's, recognizing
that the loss due to saw kerf is not part of this idealized problem.
A non-trivial version of this puzzle is the following: You have a
10'x10' piece of carpet and a 1'x8' piece of carpet. Cut one of these
two carpet pieces into two pieces (with no losses), and use the
resulting three pieces to carpet a 9'x12' room.
--
Alex -- Replace "nospam" with "mail" to reply by email. Checked infrequently.
Oups 2 pieces, not 2 cuts... Please disregard all my posts to the
solution,, LOL
"Robatoy" <[email protected]> wrote in message
news:[email protected]...
>I had seen this many moons ago, but my BIL reminded me of it over the
> holidays.
>
> A guy has a 3' x 8' board.
>
> He needs to fill a hole 2' x 12'
>
> He cuts the board into 2 pieces, which fit the hole perfectly.
>
> How?
>
> I'm sure some of you have seen this, but it still demonstrates what
> 'thinking out of the box' is all about.
>
> I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
> Result will be posted in abpw in the next few days.
>
> PS. Board-stretchers are not allowed.
>
> Rob
"Doug Miller" <[email protected]> wrote in message
news:[email protected]...
> In article <[email protected]>, "Mike
> in Arkansas" <[email protected]> wrote:
>>So it's a problem of semantics? To be absolutely accurate about this,
>>Doug's solution will not work in the real world. All his suggested
>>methods of cutting are going to leave a kerf and the two boards will no
>>longer be two feet across but will be 1/8 inch or so shy.
>>
> So cut it with a knife. Sheesh.
Or plunge cut with a skill saw or jig saw.
"Upscale" <[email protected]> wrote in message
> ? ???????????? ?
> ???????????????????????????????????
Guess it didn't come out right. Must have been some forbidden characters.
Mike in Arkansas wrote:
> So it's a problem of semantics? To be absolutely accurate about this,
> Doug's solution will not work in the real world. All his suggested
> methods of cutting are going to leave a kerf and the two boards will no
> longer be two feet across but will be 1/8 inch or so shy.
>
Just in case it wasn't obvious to everyone, I just like to point out
there is *no* real world solution; since both boards have the same
surface area (288 sq.in.), and all saws have some kerf, you can't cut
the board even once and expect the same surface area unless you recover
the sawdust, mix it with resin or something and glue it back on (an
interesting idea, but not in the spirit of the rules).
Given that, I think lacking a perfect 90 degree turn doesn't really matter.
Cut the 3x8 so that you end up with 1, 2x8 and 1, 1x8. then cut the 1x8
into 2, 1x4. Put those at the end of the2x8 piece.
I e-mailed you a DWG.drawing.
"Robatoy" <[email protected]> wrote in message
news:[email protected]...
>I had seen this many moons ago, but my BIL reminded me of it over the
> holidays.
>
> A guy has a 3' x 8' board.
>
> He needs to fill a hole 2' x 12'
>
> He cuts the board into 2 pieces, which fit the hole perfectly.
>
> How?
>
> I'm sure some of you have seen this, but it still demonstrates what
> 'thinking out of the box' is all about.
>
> I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
> Result will be posted in abpw in the next few days.
>
> PS. Board-stretchers are not allowed.
>
> Rob
"John Keeney" <[email protected]> wrote in message
news:[email protected]...
>
> "Leon" <[email protected]> wrote in message
> news:[email protected]...
>> Cut the 3x8 so that you end up with 1, 2x8 and 1, 1x8. then cut the 1x8
>> into 2, 1x4. Put those at the end of the2x8 piece.
>> I e-mailed you a DWG.drawing.
>
> That's three pieces instead of the required two.
>
Yeah, like several others, I read that as 2 cuts and not pieces the first
time around. ;~)
In article <z%[email protected]>,
"Leon" <[email protected]> wrote:
> My e-mail with the solution drawing bounced back to me.
My mistake.
I keep forgetting to mention "remove BULL" from my addy.
In article <[email protected]>,
"Upscale" <[email protected]> wrote:
> If I understand your picture properly, I thought of doing it the same way.
> But for all practical purposes, it's impossible to make a 90° turn while
> continuing the same cut. And if it could be done, then in actuality, then
> the puzzle could be done with one cut.
You can make as many cuts as you like, as long as you only end up with 2
pieces.
*S*
Rob
In article <[email protected]>,
"Swingman" <[email protected]> wrote:
> "Swingman" wrote in message
>
> > You should then have your 2' x 12' board.
>
> Correction, inadvertently left out a few words in that last sentence:
>
> "You should then, using the two cut off excess triangles on each end, have
> enough material for your 2' x 12' board."
But then you would have cut the 3' x 8' board into more than 2 pieces.
Only 2 pieces are allowed. *S*
"Doug Miller" <[email protected]> wrote in message news:idfCd.4053
> ___________________________
> | _________| |
> |________|_________________|
If I understand your picture properly, I thought of doing it the same way.
But for all practical purposes, it's impossible to make a 90° turn while
continuing the same cut. And if it could be done, then in actuality, then
the puzzle could be done with one cut.
???????????????????????
??????4'????? ?
? ?????4'??????
???????????????????????
???????????????????????????????????
? ???????????? ?
???????????????????????????????????
In article <[email protected]>, Robatoy <[email protected]> wrote:
>I had seen this many moons ago, but my BIL reminded me of it over the
>holidays.
>
>A guy has a 3' x 8' board.
>He needs to fill a hole 2' x 12'
>
>He cuts the board into 2 pieces, which fit the hole perfectly.
>How?
(best viewed in fixed-space font e.g. Courier)
Cut thus:
__________________
| _________|
|________| |
|_________________|
|<--4'-->|<--4'-->|
and reassemble thus:
___________________________
| _________| |
|________|_________________|
--
Regards,
Doug Miller (alphageek-at-milmac-dot-com)
Get a copy of my NEW AND IMPROVED TrollFilter for NewsProxy/Nfilter
by sending email to autoresponder at filterinfo-at-milmac-dot-com
You must use your REAL email address to get a response.
"Dimarela" <[email protected]> wrote in message
news:[email protected]...
>I can do it with two cuts but not yet with one
I made that mistake also. You can have as many cuts as you like as long as
you only end up with 2 pieces.
"Robatoy" wrote in message
> "Swingman" wrote:
>
> > "Swingman" wrote in message
> >
> > > You should then have your 2' x 12' board.
> >
> > Correction, inadvertently left out a few words in that last sentence:
> >
> > "You should then, using the two cut off excess triangles on each end,
have
> > enough material for your 2' x 12' board."
>
> But then you would have cut the 3' x 8' board into more than 2 pieces.
>
> Only 2 pieces are allowed. *S*
Arrrgggg. Details, details ... that's what you get for working and fartin'
off at the same time.
I haven't done, and don't have the time at the moment, to do the little bit
of math required to answer if my diagonal cut would allow you stretch out,
as I described, to 2 x 12' ... apparently it doesn't?
If not, I'm with Leon ... ignore my previous posts on the subject. ;>)
--
www.e-woodshop.net
Last update: 11/06/04
"Mike in Arkansas" <[email protected]> wrote in message
news:[email protected]...
> So it's a problem of semantics? To be absolutely accurate about this,
> Doug's solution will not work in the real world. All his suggested
> methods of cutting are going to leave a kerf and the two boards will no
> longer be two feet across but will be 1/8 inch or so shy.
Ok, I can't argue against that. :)
My e-mail with the solution drawing bounced back to me.
I posted on a.b.p.w.
"Robatoy" <[email protected]> wrote in message
news:[email protected]...
>I had seen this many moons ago, but my BIL reminded me of it over the
> holidays.
>
> A guy has a 3' x 8' board.
>
> He needs to fill a hole 2' x 12'
>
> He cuts the board into 2 pieces, which fit the hole perfectly.
>
> How?
>
> I'm sure some of you have seen this, but it still demonstrates what
> 'thinking out of the box' is all about.
>
> I accept all .dwg, .dxf and scanned pencil or ascii art. *G*
> Result will be posted in abpw in the next few days.
>
> PS. Board-stretchers are not allowed.
>
> Rob