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 cage shape 
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Posted on: Sat Apr 07, 2012 5:16 am




Posts: 78
Joined: Sun Mar 04, 2012 3:43 am
Post 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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Posted on: Sat Apr 07, 2012 7:43 pm




Posts: 2215
Joined: Thu May 12, 2011 11:58 pm
Post 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?

[scared] 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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Posted on: Sat Apr 07, 2012 9:27 pm




Posts: 78
Joined: Sun Mar 04, 2012 3:43 am
Post 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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Posted on: Sun Apr 08, 2012 1:04 am




Posts: 498
Location: Ladysmith, BC, Canada
Joined: Fri May 13, 2011 1:37 am
Post 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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Posted on: Thu Apr 26, 2012 10:27 pm




Posts: 2215
Joined: Thu May 12, 2011 11:58 pm
Post 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" [blink] )

Here are two samples:

Image

Image


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Posted on: Fri Apr 27, 2012 4:12 am




Posts: 98
Joined: Fri May 13, 2011 12:48 am
Post Re: cage shape
fun!


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Posted on: Fri Apr 27, 2012 4:14 am




Posts: 98
Joined: Fri May 13, 2011 12:48 am
Post Re: cage shape
Have you ever thought about using a mandelbrot equation to generate cage shapes?


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Posted on: Fri Apr 27, 2012 10:21 am




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Joined: Thu May 12, 2011 11:58 pm
Post Re: cage shape
Here's another one, not easy (!)
[scared]
Image


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Posted on: Fri Apr 27, 2012 10:22 am




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Joined: Thu May 12, 2011 11:58 pm
Post 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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Posted on: Fri Apr 27, 2012 11:15 am




Posts: 31
Joined: Mon Mar 05, 2012 12:45 pm
Post 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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