Bishop's Tour

Frezco

For the rules (which may vary slightly from what you'd expect), see page 2 of the Chess Tours.PDF that you'll find here

If nobody else posts a solution, I will in a couple of days.

cobra91

Easy!

e4, d3, a6, b5, c6, a8, b7, c8, h3, e6, d7, e8, f7, g8, h7, f5, g6, h5, g4, f3, h1, g2, f1, e2, d1, a4, c2, b1, a2, b3, c4, d5 Smile

Frezco

Yes, that works.  You win the grand prize!

NOTE: there are other solutions to this particular puzzle. 

Initially, I had put the 16 on f3 and then gave up on solving that one (maybe I was just having an off day).  Care to try that? 

cobra91

Assuming 1 and 32 are on the same squares as before, I think this works.  I have to admit, though... I had a lot more trouble this time. Either the tour was just way harder, or my luck is running out  :(

e4, h7, g8, c4, a6, b5, a4, d1, b3, a2, b1, c2, d3, f1, e2, f3, h1, g2, h3, g4, h5, e8, c6, a8, b7, c8, d7, f5, g6, f7, e6, d5  Cool

Frezco

I think that tour is "way harder" and your solution is elegant.  Thanks.

pompom

So the bishop has to go to every light square on the board and the 1st, 16th, and 32 moves has to be on those specific squares?  That sounds pretty easy.

I've heard of the knight's tour, but not the bishop's tour.

cobra91
pompom wrote:

So the bishop has to go to every light square on the board and the 1st, 16th, and 32 moves has to be on those specific squares?  That sounds pretty easy.

I've heard of the knight's tour, but not the bishop's tour.


 There's a catch: the bishop cannot "pass through" (i.e. jump over) any previously occupied squares (nor can it land on them, of course). That makes things trickier, although most people still don't  consider it to be "quite as hard" as the knight's tour.

pompom

Oh.  That seems to be a little harder.

Frezco

Here's the solution I had prepared:

pompom

How about this:

The bishop has to start on g7 and ends on b2.

Frezco

Per the Chess Tours PDF, this would be a 31 square tour.  It wouldn't include the h8 square.  Here's a solution:

g7-h6-c1-a3-f8-b4-a5-d8-c7-b8-a7-b6-c5-d6-e7-f6-h4-g3-h2-g1-f2-e1-d2-e3-g5-f4-e5-d4-c3-a1-b2.

Frezco

Here's another puzzle:

cobra91
Frezco wrote:

Here's another puzzle:

 


 Bishop tours are awesome - keep them coming!

This one was a bit too easy, though: a8, h1, d5, a2, b3, c4, d3, b1, c2, d1, e2, f1, g2, f3, e4, h7, f5, h3, g4, h5, g6, e8, a4, b5, a6, c8, b7, c6, d7, e6, f7, g8  Smile

Frezco
cobra91 wrote: Bishop tours are awesome - keep them coming!

Thanks!  The bishop's tour has a fan... hooray!

My solution has essentially the same opening (I begin with h1), the same middle game, and a slightly different ending.  I guess that opening screams to be played, and I don't know if there is another one that works.

Did you try the harder bishop's tour?

More to come.

cobra91

I'm thinking the corner-to-corner opening is forced for that one, because there's no good way to visit either of the corner squares between 8 + 16, and it's also difficult to avoid squares that close off the corners during the 8-16 and 1-4 sequences. I obviously can't be sure, though...  Undecided

As for the harder bishop's tour, I hadn't yet seen it, so thanks for the link. It proved to be quite difficult, of course - at first it had me totally confused! When I finally did solve it, however, I was shocked to see that your solution was identical to mine!! Surprised  I'm guessing there can't be more than a few ways to complete that particular tour.

Frezco

Two bishop tours here...

Puzzle A:

Puzzle B:

Anyone besides cobra91 interested in solving?

I'll post solutions in a couple of days.

cobra91
Frezco wrote:

Two bishop tours here... 

Anyone besides cobra91 interested in solving?

I'll post solutions in a couple of days.


 Does that mean that my solutions no longer count? Tongue out

Aww... but these last two were so fun... especially the 1st one because of its surprising difficulty   ; )   Here's what I came up with for "A":  h3, c8, e6, d5, a8, b7, a6, c4, b5, c6, d7, e8, f7, g8, h7, e4, f5, g6, h5, g4, f3, h1, g2, f1, e2, d1, a4, b3, a2, b1, c2, d3. 

And for "B":  h1, g2, f1, d3, e2, f3, a8, e4, c6, a4, d1, c2, b1, a2, b3, c4, b5, a6, b7, c8, h3, g4, h5, e8, d7, f5, g6, h7, g8, f7, e6, d5.

Btw, could we get a dark-square tour next time, please? Cool

Frezco

Oh, your solutions count.  Don't worry about that.

No dark-square tour yet.  I've got to complete the theme I started with A & B.  First, my solutions:

A (considerably different from yours):

B (same as yours until the end):

Now 2 more puzzles...

Puzzle C:

I'll post a solution to C in a few days.

Puzzle D (Caution! See comment below):

I have yet to find a solution to D!  I'm still looking, but as far as I can tell, there isn't one!

cobra91

...but I'm getting bored with this theme! Laughing  

Anyway, I managed to solve problem "C" without too much difficulty:  h1, g2, f1, c4, b3, a2, b1, d3, c2, d1, e2, h5, g6, h7, g8, d5, a8, c6, a4, b5, a6, b7, c8, d7, e8, f7, e6, f5, h3, g4, f3, e4.

Having trouble with "D"? I found it to be pretty straightforward... is there a problem with this [rather dull] solution?  a8, h1, f3, e4, h7, g8, e6, d5, c6, a4, d1, b3, a2, b1, c2, d3, e2, f1, g2, h3, f5, g4, h5, g6, f7, e8, d7, c8, b7, a6, b5, c4 Smile

Now, about that dark-square tour...  ; )

AndyClifton

I think they are just like pope only maybe they dont get to use buggy, they have to walk.