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Mikeyj
Unfictologist

Joined: 18 Oct 2004
Posts: 1842
Location: London

[S2] [Dice Set] #165 No Fault of Mine
610 points

Guest Puzzle Architect: Eric Harshburger

 Quote: Imagine a sectio of a brick-tiled patio as pictured here: The individual tiles are 1x2 rectangles. They are placed into a larger rectangular area. Notice what one might call a "Fault Line" that runs through the pattern: A dividing line that does not cut any of the individual 1x2 tiles, but which separates the whole rectangular area into two smaller rectangles. What is the fewest number of tiles, excluding the trivial case of 1 tile, that may be assembled into a rectangular area so that no fault line exists?

 purple 165 back.jpg Description Back Filesize 23.06KB Viewed 566 Time(s)
 purple 165.jpg Description Front Filesize 28.9KB Viewed 591 Time(s)
_________________
Irrelevant musings.

Posted: Fri Mar 09, 2007 11:28 am
PuzzledPineapple
Unfettered

Joined: 07 Apr 2005
Posts: 352

Back:

 Quote: We are only four days into our journey here on the PRS Exsuscito and a severe disagreement is already underway. Not between the rival horologists, as might be expected (although I suspect that is only a matter of time) but between the horologists and the captain: the ship is heading off course. Captain Harrison refuses to discuss the issue and tersely says that he is "following his orders." What orders? "I cannot help you Mr. Kennard" Naturally we are all in a state of uproar. Solitano is demanding that the ship turn around, and Green wants to know the source of the orders. Frankly, I am not overly worried for my safety; Captain Harrison is known to be an upstanding man and the Exsuscito has an excellent navigator. I am more concerned about what this means for the expedition. Even when it began, I failed to understand why the Academy decided to test different methods of determining longitude by simply throwing all the city's horologists on a single ship, even if their chronometers are not yet finished. With the ship heading to an unknown destination, the expedition is descending into lunacy. I have tried to spend my time productively, by testing my chronometers and making various measurements on the ship. I surmise that centrifugal forces may affect the counter oscillating mechanism I employ but time will tell. I have been engaged in some interesting discussions with my fellow horologists; not only are they experts in the longitude problem, but I suspect that some of them know more about our ships other mission than they are revealing.

Posted: Fri Mar 09, 2007 11:57 am
simonaubrey
Boot

Joined: 06 Dec 2005
Posts: 37

I can get it in

 Spoiler (Rollover to View): 20 tiles using a 8 x 5 grid.

Anyone do any better?

Posted: Mon Mar 12, 2007 8:58 am
Corporal
Greenhorn

Joined: 06 Mar 2007
Posts: 7
Location: Wisconsin, USA

I found it was easier to do by starting with two blocks and trying a few different combos for each until I could get it to work and I got lucky enough that the first one I got to work was the correct answer. If you are having trouble getting it to work or don't have the abundance of free time that I do to do it the long way here it is

CAUTION!!!!
The answer is behind this wall!!!!
 Spoiler (Rollover to View): 15

Posted: Mon Mar 12, 2007 9:28 pm
groovygirl20
Veteran

Joined: 04 Jan 2006
Posts: 100
Location: Lincolnshire! ENGLAND!! WOO!!

well i thought it was
 Spoiler (Rollover to View): 6

meh i suck
_________________
To the query, ''What is a friend?'' his reply was ''A single soul dwelling in two bodies.''

Posted: Sat Mar 17, 2007 5:01 pm
pmh
Kilroy

Joined: 01 Mar 2007
Posts: 1

I found an answer by playing with some lego bricks. Then I realised that I could remove 6 bricks and have it still work. Then I wrote the attached code to check my answer.

Posted: Fri Apr 06, 2007 4:56 am
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