Paddocks

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Paddocks

Postby PuzzleScot » Fri 10 Jul, 2015 3:07 pm

Elliot Line (his site) posted a new puzzle type that he'd created. Paddocks. I can see there might be some life in this. What do you think?

Draw fences between some of the posts so that each post is at the junction of exactly three fences.
These fences will divide the field into several paddocks; Some paddocks contain a number, but no more than one number, which will indicate the area of the paddock that contains it.
The boundary fence is already in place, so any post on the boundary only needs one more fence emerging from it in order to make up its full complement.
For example:
paddocks-ex1.png
paddocks-ex1.png (17.54 KiB) Viewed 3752 times


I realised his first real puzzle had much more information than necessary, so created this:
(My drawing skills aren't so good. Every vertex of the grid on and within the boundary fence should have a post. All possible fence lines are shown dotted)
paddocks-1a.png
paddocks-1a.png (23.88 KiB) Viewed 3752 times
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Re: Paddocks

Postby detuned » Sun 12 Jul, 2015 6:25 pm

Nice idea, although I think it could do with a couple of refinements. Possibly a hex grid?
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Re: Paddocks

Postby kiwijam » Sun 12 Jul, 2015 9:35 pm

I also found the lopsided grid off-putting.
However it looks much nicer on a grid of equilateral triangles (and the puzzle remains the same).

It has potential, there are also various ways of using the "3 lines at every point" rule in other styles or with other hint types.
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Re: Paddocks

Postby detuned » Sun 12 Jul, 2015 11:39 pm

A loosely related idea is "heavy dots": http://www.gmpuzzles.com/blog/2014/05/h ... -seshadri/

Again I think there's the germ of a good idea here, also in need of a little refinement.
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