Gokigen / Slalom puzzles

Links to puzzle sites all around the web
Post Reply
ronaldx
Posts: 407
Joined: Mon 21 Jun, 2010 2:41 pm

Gokigen / Slalom puzzles

Post by ronaldx » Tue 14 Dec, 2010 12:11 am

Further to the croco-puzzle thread, more Slalom puzzles are available here

http://www.wpcstylepuzzles.com/2010/12/ ... uzzle.html

with thanks to Rajesh Kumar for the link!

dickoon
Posts: 612
Joined: Mon 21 Jun, 2010 12:52 pm
Location: Stockton-on-Tees, UK
Contact:

Re: Gokigen / Slalom puzzles

Post by dickoon » Tue 14 Dec, 2010 4:23 pm

Great link! I enjoyed those, and I am pretty sure I have worked out some general principles, which may well be pretty rudimentary, but punch above their weight.
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER: Slalom tips.
Two 3s orthogonally adjacent to each other must have spokes coming into them from the opposite direction, i. e. o o becomes >o o<.

A 1 represents "a spoke coming into an open-faced box", so to 1s orthogonally adjacent to each other must have spokes avoiding them from the opposite directions, i. e. o o becomes <o o>.

Calavera
Posts: 73
Joined: Wed 03 Nov, 2010 1:42 am

Re: Gokigen / Slalom puzzles

Post by Calavera » Tue 14 Dec, 2010 10:53 pm

To share another one I already know by hard from solving them in berni's "Denksel":
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
The diagonally adjacent 1s inside the diagram are not connected as they would force a separated area.

ronaldx
Posts: 407
Joined: Mon 21 Jun, 2010 2:41 pm

Re: Gokigen / Slalom puzzles

Post by ronaldx » Wed 15 Dec, 2010 4:23 am

More general version of Chris's tip:
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
If you have two adjacent numbers, the two squares in between must contribute a total of 2 to those numbers.
This helps for example if you have adjacent 1-2 and you have already placed 1 spoke facing outwards, then
the 2 remaining spokes must be inside.

Ugh this is hard to explain without drawing, hopefully it's understood?

Furthermore, if you have 1-2-1 adjacent then the 4 spokes are accounted for somewhere in the middle: you can stick < and > on the outside
Calavera your tip is very cool! I haven't seen that before :)

Calavera
Posts: 73
Joined: Wed 03 Nov, 2010 1:42 am

Re: Gokigen / Slalom puzzles

Post by Calavera » Wed 15 Dec, 2010 7:51 pm

There's another thing that helps using Chris' tip more often:
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER: Slalom tips
For orthogonal connections 2s work like "relais" or however you might call that. So when there is something like 3223 the two 3s behave just as if they are directly beside each other: >3223<
The same is true for two 1s and as far as I see for any other orthogonal combination you might find.

Post Reply