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An Old time problem solved

Submitted by cldng on Wed, 01/30/2008 at 4:17pm.

   There was a chess problem that I always have my students try and solve. The problem is take one set of chess pieces and cover every square on the board. It must be done with only the pieces and no Pawns.

      I thought that this problem was of the same ilk as the Kobeashi Marou scenario in Star Trek. The unwinable sequence, Captain Kirk was the only student to every solve the problem, he did it by reprogramming the scenario in the computer and got commended for original thinking.

     I gave this problem to my student, William Evangelakos, thinking he would go crazy trying to find a solution. A little background, I once showed William the eight Queen problem (which has 12 solutions that I knew of at the time) and William found a 13th solution.

    Like Captain Kirk William came up with a unique solution. See if you can figure it out. Well did ya try? Well William got as far as the diagrammed position and then he had a brilliant idea. It reminds me of the time when a Roman general went in and had to figure out  how to undo Gordian's Knot, he cut it with his sword! 

 

 

What was William's Solution?

 Opps! the Bishop should be on c6
The first one to solve it gets the Colding no-prize and mention in the next article.

Where we will give the solution.

 

» posted in Fun & Trivia
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Comments:

by languagedove - 2 months ago
Cork Ireland
Member Since: Mar 2008
Member Points: 2

i may be in a different wavelength, but I still don't understand either the question or the solution?

lol 


by Longboylegend - 2 months ago
san pedro de macorris Dominican Republic
Member Since: Feb 2008
Member Points: 103
wow i like how u play!!
by NM cldng - 2 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222
bECAUSE YOU NEED BOTH A QUEEN BISHOP AND A KING'S BISHOP BUT EXCELLENT TRY! LOL
by Philip_Lu - 2 months ago
Hacienda Heights United States
Member Since: Dec 2007
Member Points: 76
why would it be illegal? a bishop is still a bishop.  If a queen can ride on a knight, the bishop could become white or black (not intended to be rascist)
by NM cldng - 3 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222
To ibuss, that would be illegal since you have to use all the pieces. Steve
by jbuss - 3 months ago
Fort Collins, CO United States
Member Since: Aug 2007
Member Points: 24
Has it been tested whether it can be done with both bishops on the same color?
by 1red5a - 3 months ago
Cainta Rizal, Philippines
Member Since: Nov 2007
Member Points: 216

 


 hmmm,

this is a hard one

all pieces could be captured

 this is what I call a puzzle

 

Laughing 


 


by Idioteque - 3 months ago
Santa Barbara United States
Member Since: Dec 2007
Member Points: 6
Add a second knight on the same square as the queen is now (keeping the queen there, two pieces on the same square), and you've got it! As long as that's not against the rules...

by NM cldng - 3 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222
To Mafta, yes you do! lol
by mafta - 3 months ago
Alabama United States
Member Since: Dec 2007
Member Points: 57
So you don't have to use both knights?
by ataha13 - 3 months ago
Ottawa, ON Canada
Member Since: Oct 2007
Member Points: 41

The person who 'solved' the Gordian knot was Alexander the Great. There was a knot in a city in what is now present day Turkey and it was rumoured that whoever solved the knot would conquer Asia. Alexander the great came through and cut it with his sword.

I guess that works 


by DeadMansChess - 3 months ago
Fort Worth, Texas United States
Member Since: Sep 2007
Member Points: 58
You mean the queen and knight on the same square thing???
by NM cldng - 3 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222
HAha look up in the comments and I give the right answer.
by DeadMansChess - 3 months ago
Fort Worth, Texas United States
Member Since: Sep 2007
Member Points: 58
Who's got e3 and f4 on the "real" position???
by NM cldng - 3 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222

 

The real position

 

 

of course you should ignore the Black King.

by Skillz88 - 3 months ago
Behind you!! jokin, I'm on your left. United Kingdom
Member Since: Oct 2007
Member Points: 183

GOT IT!!!!!!!!! i am not sure if this is right but...

lay all the pieces down so they are not standing up... this should cover the whole chess board...

this could be another answer

by dpakoh - 3 months ago
sofia Bulgaria
Member Since: Dec 2007
Member Points: 6
a little mistake with the "roman" general called alexander magnus :), otherwise the problem is interesting , i will give it a try when i am back home
by NM cldng - 3 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222

you are absolutely right! the bishop has to be on c6! I have to apologise to all my readers! it is a travesty, a tragedy, oh quaff, oh quaff, life can never be the same. I was almost there, I could see the light and then ...then this happened!!! Mia copa, Mia copa. In other words readers I am sorry. Remember to err is human to forgive devine. Cry

by Cleive - 3 months ago
Linköping Sweden
Member Since: Jul 2007
Member Points: 51
As stated by dan_r the bishop must also be moved to cover the e8 square
by NM cldng - 3 months ago
Brooklyn, New York United States
Member Since: Jan 2008
Member Points: 222
Daer Readers, the solution is to put the other Knight on the same square as the Queen In that way all of the squares will be attacked. Falcao was the first to come up with the answer. As for the other solutions I am checking them all now and I will get back to you. Steve
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