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jake4
Posted on: Sat Apr 07, 2012 5:16 am
Posts: 80 Joined: Sun Mar 04, 2012 3:43 am
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cage shape
This isn't an idea for a pattern, but it could turn into one.
I don't believe I've ever seen a T-shaped 4-cell cage; like the Tetris piece. Any reason why?
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pnm
Posted on: Sat Apr 07, 2012 7:43 pm
Posts: 3296 Joined: Thu May 12, 2011 11:58 pm
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Re: cage shape
jake4 wrote: This isn't an idea for a pattern, but it could turn into one.
I don't believe I've ever seen a T-shaped 4-cell cage; like the Tetris piece. Any reason why? Ah, really good point! I immediately realized that this is because of my cage creation method: it starts at a point, then makes a random step, etc., until the required size is reached. I'll modify the algorithm soon so it creates more varied cages. I can't believe I didn't see this myself at some point, thanks much Patrick
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jake4
Posted on: Sat Apr 07, 2012 9:27 pm
Posts: 80 Joined: Sun Mar 04, 2012 3:43 am
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Re: cage shape
pnm wrote: I'll modify the algorithm soon so it creates more varied cages. I can't believe I didn't see this myself at some point, thanks much Patrick You're welcome! A cross-shaped cage would be interesting too. Like: a2b1b2b3c2 I can't think of any others off the top of my head that are more branched that would bring anything extra to a puzzle. Now that I've thought about it a little, a cross-shaped cage would lend itself to a nicely symmetric pattern puzzle. I think this is the type of code you use: a1 a2b1b2b3c2 c1d1 d2e1e2e3f2 f1 a3a4 c3d3 (or: c3c4, d3d4) (or: c3c4d3d4) (or something like: c3c4d3, d4) c4d4 (different ones may be useful to modulate difficulty) f3f4 a5b4b5b6c5 d5e4e5e6f5 a6 c6d6 f6
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beaker
Posted on: Sun Apr 08, 2012 1:04 am
Posts: 931 Location: Ladysmith, BC, Canada Joined: Fri May 13, 2011 1:37 am
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Re: cage shape
There is a cross shaped cage in one of the book puzzles......rating is: very difficult.....have tried to solve it once but had no success.....it's in the "black coloured book"..........Ken
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pnm
Posted on: Thu Apr 26, 2012 10:27 pm
Posts: 3296 Joined: Thu May 12, 2011 11:58 pm
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Re: cage shape
jake4 wrote: This isn't an idea for a pattern, but it could turn into one. I don't believe I've ever seen a T-shaped 4-cell cage; like the Tetris piece. Any reason why? Ok, I've fixed up the cage generation algorithm. Starting May there should be more variety in the cages (I'm sure that certain puzzles will no longer "feel familiar" ) Here are two samples:
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picklepep
Posted on: Fri Apr 27, 2012 4:12 am
Posts: 98 Joined: Fri May 13, 2011 12:48 am
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Re: cage shape
fun!
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picklepep
Posted on: Fri Apr 27, 2012 4:14 am
Posts: 98 Joined: Fri May 13, 2011 12:48 am
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Re: cage shape
Have you ever thought about using a mandelbrot equation to generate cage shapes?
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pnm
Posted on: Fri Apr 27, 2012 10:21 am
Posts: 3296 Joined: Thu May 12, 2011 11:58 pm
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Re: cage shape
Here's another one, not easy (!)
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pnm
Posted on: Fri Apr 27, 2012 10:22 am
Posts: 3296 Joined: Thu May 12, 2011 11:58 pm
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Re: cage shape
picklepep wrote: Have you ever thought about using a mandelbrot equation to generate cage shapes? Not really. How would that work?
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jotempe
Posted on: Fri Apr 27, 2012 11:15 am
Posts: 31 Joined: Mon Mar 05, 2012 12:45 pm
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Re: cage shape
The last one was relatively easy, solved it by pure logic (no guessing) in a few minutes - subjecively I'd put it a 5x5 medium category.
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