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Awesome Math

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Tuesday, May 26, 2009

There may be better games than Drop 7 in the iPhone's App Store, but I haven't found them. This ridiculously simple game is, hands down, the most addictive puzzle game I've played since Puzzle Fighter. The concept is simple: You drop discs with numbers on them, and when the number of adjoining discs matches the number on any or all discs within that grouping, those discs explode and drop down anything above them.

Why is it always so hard to describe exactly how a puzzle game works, even when it's the simplest thing in the world?

 

Anyway, this is the kind of game that just squeezes itself into your brain and will not leave. Any time I see a narrow column of, well, just about anything, I catch myself beginning to imagine dropping a "2" disc next to it or a "1" on top. It's a sickness. But I'll tell you, I have not played a game that devours time like this one does in years.

The thing that's really getting me addicted, I think, is the fact that the game has this perfect, pure logic to it, a logic that a seriously mathematically inclined person would be able to instantly decode from a single screen shot.

Like this one:

[EDIT: For those of you who are trying to figure out if you'd like this game, I wanted to explain a little bit more what's happening in this screenshot. The 3 and 5 are both exploding because they're in rows with 3 and 5 adjoining discs. This will drop the 4 down to row 3. That will leave the 1 sitting by itself, so it too will explode. Nothing else will happen this turn, but things get very interesting in three drops (the discs in the bottom left show you how many more drops before another row of blank discs comes up from the bottom). At that point, assuming those drops haven't changed things too much, the remaining 3 will be pushed up to row 3, causing it to explode. Same deal with the 4s, which move up to row 4; as this happens, the 4 on the left will reveal the number in the grey disc below it, which has been "cracked" by the exploding 5. (It takes two adjacent explosions to turn a blank disc into a number disc.) And the 6 on the right will also explode, because the column it's in will now be 6 discs high. I don't remember this from the game, I just reconstructed it by looking at this screenshot. That's the kind of pure logic I'm talking about.]

And because of this mathematical relationship, it's possible to formulate a gameplay strategy mathematically.

For example, if you drop a 4-disc on a column containing three 7-discs, you know that at some point, as more discs move up from below, all three 7s will disappear, followed by the 4. In other words, if x is the disc you need to position, and y is the number of discs in a stack, you know that x disappears anytime x=y. But because every OTHER x disappears when x=y, you also know that x is guaranteed to disappear anytime it's dropped on a stack containing n(n-x) discs, assuming (n-x) > 0.

I'm sure there's a more elegant mathematical way to express all this, but I do words for a living, not math. My point is just that a game this pure, this simple, wedges itself between the folds of your brain and does. not. leave.

Those of you with iPhones, give it a try and see if you agree. It's a steal at $2.99, especially if gameplay time impacts your sense of a game's value. But with the amount of time I've been playing this beautiful creation, I think we'd need calculus to express how much.

 
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Comments (12)
Lance_darnell
May 27, 2009
I am going to go and try it now! Thanks Joe. It's great that you are writing for Bitmob.
Twitpic
May 27, 2009
I'm extremely curious, but unfortunately I lack any peripheral to play it on. Maybe someday.
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May 28, 2009
I need a video to understand the goings on in this game. Sounds like I'd like it and I'm oh so close to understanding it. And like Cohen, no iPhone...
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May 28, 2009
I've been playing Drop 7 for about a month now and I agree with you Joe, it is a beautiful creation! My top score is 223,007, anyone got anything higher? I like being able to post my top scores on facebook to try and convince my friends to pick it up and beat me!
Default_picture
May 28, 2009
I [url=http://www.bitmob.com/index.php/mobfeed/Drop7-360.html]wrote about this game[/url] back when I first got it too. It is so addicting that I've totally stopped bringing my DS on the train in the morning for my daily commute-- I just play this while I listen to podcasts.
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May 28, 2009
Rob Pearsall, check out one of the first episodes of Co-Op. They covered Drop7 and had some gameplay footage.
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May 28, 2009
Adam, I sincerely hope this doesn't crush your spirit as it apparently did Nick Suttner's: http://twitpic.com/654lv Note, though, that this is Hardcore mode. I haven't been playing regular mode or Sequence mode nearly as much.
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May 28, 2009
Oh, and for those of you who'd like to check it out but don't have iPhones, [url=http://www.chainfactor.com/]Chain Factor[/url] is fairly similar, conceptually...but not nearly as addictive to me, for some reason.
Img_1019
May 28, 2009
I played the heck out of it for about a week (score topped out at 212, 616), but didn't feel like it had that extra "twist" that was going to keep me coming back for more. That said, it's only $3 so you really can't go wrong. What's your high score these days Joe?
Img_1019
May 28, 2009
530k eh? I haven't tried hardcore mode yet. The name scares me. Maybe I should give it a whirl before I move on to the next game.
Default_picture
May 29, 2009
I do find hardcore mode a little more compelling because it's a much quicker game, and you never get blank discs to drop so you have a better handle on how drops will pan out. On the forums for the game one person claims to have 1.2 million in hardcore mode...but doesn't post a screen shot.
Default_picture
June 01, 2009
Those are some amazing numbers! Ive only been playing normal mode, I will have to give hardcore mode a shot.

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