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mathgrant
A very tilted cell member

Posted: Thu Sep 13, 2012 11:49 pm    Post subject: 1

Draw a loop of horizontal and vertical lines through the centers of some of the squares on this chessboard such that the chessmen which are part of the loop act as pearls in Masyu (white chessmen as white pearls, and black chessmen as black pearls), and such that the chessmen which are not part of the loop form a valid chess position.

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Last edited by mathgrant on Fri Sep 14, 2012 7:44 pm; edited 2 times in total
Thok
Oh, foe, the cursed teeth!

 Posted: Fri Sep 14, 2012 12:13 am    Post subject: 2 Should we assume the white player is at the bottom and the black player is at the top, or is that an additional parameter to the problem?
mathgrant
A very tilted cell member

Posted: Fri Sep 14, 2012 12:30 am    Post subject: 3

 Thok wrote: Should we assume the white player is at the bottom and the black player is at the top, or is that an additional parameter to the problem?

As the file numbers and rank letters outside the board indicate, White is at the bottom, and Black is at the top.

Installment two:

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Trojan Horse
Daedalian Member

 Posted: Fri Sep 14, 2012 4:02 am    Post subject: 4 The loop for the first one: b1-b5-d5-d6-b6-b8-c8-c7-d7-d8-g8-g7-f7-f6-h6-h5-e5-e4-c4-c2-e2-e1-b1
Vagrant
Daedalian Member

 Posted: Fri Sep 14, 2012 8:55 am    Post subject: 5 For the second one the loop is A3-A6-C6-C8-E8-E6-G6-G7-H7-H3-G3-G1-F1-F3-C3-C5-B5-B3-A3
mathgrant
A very tilted cell member

Posted: Fri Sep 14, 2012 3:58 pm    Post subject: 6

Both solutions match mine.

Maybe I'll make a batch of these and post them on BoardGameGeek. In the meanwhile, here's a third.

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Trojan Horse
Daedalian Member

 Posted: Fri Sep 14, 2012 6:57 pm    Post subject: 7 Got it: a8-h8-h6-g6-g4-e4-e3-g3-g1-d1-d4-c4-c6-e6-e7-a7-a8
mathgrant
A very tilted cell member

Posted: Fri Sep 14, 2012 7:23 pm    Post subject: 8

That matches my solution, Trojan Horse.

Installment 4 (probably the easiest yet):

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Trojan Horse
Daedalian Member

 Posted: Mon Sep 17, 2012 3:04 am    Post subject: 9 Sigh. I didn't want to hog these. But if no one else wants to grab this one, I'll do it: a1-a2-b2-b4-e4-e6-b6-b8-d8-d7-f7-f8-h8-h6-f6-f4-h4-h1-e1-e3-c3-c1-a1
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