Saturday 11 June, 2005

Steps and pieces

Filed under: Numbers and stuff

I've been seeing how many steps it takes to get up the escalator in the PATH station where I work. Thursday (out of rush hour), I took 88 steps to get the top - full pelt. This morning, I took 92 steps (off-peak), indicating that I was running faster. This evening, I took 91 steps running down the escalator. I could've sworn I ran faster than this morning, but alas not, unless the downward escalator is faster - which could be the case given that it doesn't have the trauma of increasing people's potential energy.

There is a conundrum going on in the office at the moment, which has me interested: with unlimited people-resources, how would you go about solving a jigsaw puzzle given a significant time constraint, say a day.

Some of the techies among us have decided that it's best to scan the shape of each of the pieces and use some form of algorithm to put the puzzle together. My preference is to think of this as a project management challenge as opposed to one of technology.

Although it never seemed to make sense to me as a child, having an early step to identify the straight-edged pieces and define the border strikes me as a sound early move. The technique thereafter depends largely on the answer to a specific question: can the picture be broken down logically by colour.

If the answer is yes, then it makes sense to divide the pieces up and assign one team to each of the distinguishable areas. It would then be relatively simple for teams to share pieces which they didn't feel belonged to them, and for the groups to regroup towards the end to connect the large sections together within the boundary.

If the answer is no, then this changes the problem significantly. Dividing the team by area seems tough, as unless you can allot the pieces to the right team, you're in trouble. I was wondering whether it would help or hinder to have, say, four identical sets of pieces (all of the same, complete jigsaw). Giving each team a set to work with would be beneficial, as they would not have any dependencies on other tracks. However, the determination of each piece would mean a wider set of pieces to choose from, which would slow down progress.

More to follow on this one, I think.


Posted by dan at 8:03am | Permalink | Comments (2) | Trackbacks (0)
Comments

My suggestion would be to divide the team into individuals, take your allotment of puzzle pieces, arrange them by color, carefully throw them in the trash bin and get your ass back to work. You guys are too expensive to be 'futzing around'(http://whatis.techtarget.com/definition/0,,sid9_gci212171,00.html) with a freaking puzzle.

Posted by Paying Client, 8:07am, Saturday 11 June 2005

The image of you pounding up and down New York escalators, your sensible brogues 'ping-panging' on the metal steps as you mutter incremental numbers under your breath, is an amusing one. I'd like to challenge you to achieve a sub-90 footfall on the down-escalator (despite 'down-escalator' being an oxymoron). Remember though - no skipping steps, no using fellow travellers (commuters, old ladies, small children standing on the right) for extra purchase and no anabolic steroids. A Rocky-style punching of the air and bellowing of your wife's name on reaching the top however, is mandatory.

Interestingly (though probably otherwise), the only antonym to "escalate" offered by Bill Gates and the freaky beardy-weirdies who make Microsoft Word is "plummet". Somehow, "plummeters" don't sound quite as appealing methods of traversing multiple levels. I think I'd rather take the stairs.

As for the jigsaw conundrum. Yeah, nice one, I've been thinking about this for about three hours now, to the neglect of everything else I planned to do today, and the best suggestion I have is to trust to the god of arbitrariness. I'd have everyone (apart from one person) look at all the laid out pieces and set them free to constuct as they see fit as quickly as they can. Then the one remaining person would monitor the individual constuctions and see where they might join together. While the other solutions may be technically and logically valid, they don't account for the human element. The operation itself negates the concept of teamwork. Jigsaws are a solitary exercise and the jigsaw enthusiast walks a lonely road, it's a tightrope between madness and boredom. Probably talking out of me hoop though.

Posted by Steve, 3:24am, Monday 13 June 2005
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