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cage shape
http://www.calcudoku.org/forum/viewtopic.php?f=16&t=187
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Author:  jake4  [ Sat Apr 07, 2012 5:16 am ]
Post subject:  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?

Author:  pnm  [ Sat Apr 07, 2012 7:43 pm ]
Post subject:  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

Author:  jake4  [ Sat Apr 07, 2012 9:27 pm ]
Post subject:  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

Author:  beaker  [ Sun Apr 08, 2012 1:04 am ]
Post subject:  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

Author:  pnm  [ Thu Apr 26, 2012 10:27 pm ]
Post subject:  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

Author:  picklepep  [ Fri Apr 27, 2012 4:12 am ]
Post subject:  Re: cage shape

fun!

Author:  picklepep  [ Fri Apr 27, 2012 4:14 am ]
Post subject:  Re: cage shape

Have you ever thought about using a mandelbrot equation to generate cage shapes?

Author:  pnm  [ Fri Apr 27, 2012 10:21 am ]
Post subject:  Re: cage shape

Here's another one, not easy (!)
[scared]
Image

Author:  pnm  [ Fri Apr 27, 2012 10:22 am ]
Post subject:  Re: cage shape

picklepep wrote:
Have you ever thought about using a mandelbrot equation to generate cage shapes?

Not really. How would that work?

Author:  jotempe  [ Fri Apr 27, 2012 11:15 am ]
Post subject:  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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