Does the word "interchange" call to mind the kind of hopelessly complicated tangle of roadways depicted above? We're not sure if this photo is real or satire, but please remind us to seek an alternative route.
In checkers, "interchange" can have different meanings, the most common ones probably referring to an exchange of pieces or an exchange of positions.
Today, we'll present a study that takes the idea to its ultimate conclusion. This is not a typical checker problem, but it has a great deal of didactic value. The exact origin of this problem is unknown, but it's been around for a while.
The problem is to go from the start position
to the following fully interchanged position.
Of course, this has to be done completely with legal moves (e.g., all forced captures will have to be avoided).
Now, we won't say it's easy or short (it's neither), but a methodical, thoughtful approach will yield results. This is a great exercise in planning and visualizing, and we believe it will aid in the development of over-the-board skills. And in the process, you'll certainly learn something about mobility, traffic jams, and clearing a path.
Can you untangle this one, or will you loop around in your quest for a solution? It's worth your time and effort, but when you want to get out of the traffic, just click on Read More to see an animated solution.[Read More]
Shown above is a hotel room that is quite attractive because it's nice and neat, giving it plenty of appeal. At least based on the photo, you'd most likely be quite willing to stay there for business or vacation.
Checker problems can be nice and neat, too, with solutions that appeal and settings that draw you in. We think the problem below meets these criteria.
This problem is "nice" in that it has a very flashy solution which is reasonably well concealed. And the problem is "neat" in that the author's intended solution can be avoided, yet there is still a solid win which demonstrates practical technique.
Are you nice, or neat, or nice and neat? Don't be mean and don't mess it up! Solve the problem and click on Read More to see the solutions.[Read More]
Andrew Jackson, seventh President of the United States, certainly wasn't the author of today's Checker School study; President Jackson passed away a good forty years before this position was first formally presented. But did President Jackson play checkers? It's been speculated by historians that he was a chess player, and it seems quite likely that, at the very least, he would have known how to play the game of checkers. But his favorite sport was apparently dueling; he is reported to have participated in some hundred duels!
Fortunately, a checker duel has far fewer permanent consequences than the type of dueling President Jackson did. Let's, for instance, look at the position below.
"Play and Draw" has little application to dueling (unless you're drawing pistols), as obtaining a draw in a duel isn't the point. But here, getting a draw with the Black pieces represents a respectable achievement. Can you do it? No pistols or swords needed, just good over the board checker skills. Solve the problem and shoot (or stab) your mouse on Read More to see the solution, sample games, and explanatory notes.[Read More]
Hard Problem is actually the title of a play by Tom Stoppard that ran at the Scena Theatre in Washington, D.C., early this year. While the "problem" is about consciousness, not checkers, by all accounts it was a good show.
We hope we have a good show for you today as well, with a "hard problem" about checkers. Let's jump right in.
You'll need to maintain a high degree of consciousness to solve this one, and, regardless of possible metaphysical implications, you'll have to focus and apply solid over the board visualization skills. Try to solve it without moving the pieces; that will definitely be a mind-expanding experience. Then, when you're done, make a conscious decision to click on Read More to see the solution.[Read More]
How good are you at geometry? Does the problem above look easy to you? To us, it looked easy in principle, and we didn't need more than a minute or two to come up with a set of equations to represent the relationships in the diagram. Then we went to solve the equations for the desired variable 'x'. That too was just the work of a couple of minutes ... until we ran into what we'll call "a little snag."
Hopefully today's checker problem will be the work of a few seconds (not even minutes), just a brief summer interlude, with no hidden snag. Let's have a look.
You've probably already solved it, but we'll extend an extra incentive to click on Read More: We'll also give the answer to the math problem.[Read More]
It's not often that The Checker Maven presents a political message or takes a political stand, but as we prepare to celebrate the birthday of our great nation on our wonderful 4th of July holiday, we can't help but wish for unity among us.
In our Republic, Americans are free to differ and indeed we celebrate our differences. But the kind of divisiveness we've seen over the past year or so is good for no one. Why can't we agree to disagree about some things, but still unite for the sake of our nation?
The 4th of July is an appropriate time to reflect on the fact that we are one nation and one people, e pluribus unum, from the many--- one. Let's work together for the good of us all.
And for our checker problem today, we've simply got to turn to Tom Wiswell, that great problemist and great American patriot.
Can checkers be a great unifying factor? Why not? Try out this problem and then click on Read More to see how to do it. The solution is one worthy of a master; maybe you might enjoy getting together with your checker friends--- regardless of anyone's political views--- to work it out.[Read More]
We found the above inspirational poster very appropriate to our weekly column, for doesn't checkers mirror life in so many ways? Trust in our abilities, a belief in our capacity to succeed and to do what we have to do; these attributes apply both to the game of checkers and to life in general.
Someone who has Dunne-it before and now has Dunne-it again is our old checker friend, F. Dunne. We've seen his studies and positions before, and today we have another one that is subtle and interesting. It's our Checker School entry for this month.
Can you solve this and find the White draw? There's another inspirational saying from none other than Henry Ford: "Whether you think you can or think you can't, you're right." Trust in yourself, think positive, and click on Read More to see the solution, sample games, and explanatory notes.[Read More]
From one corner to the other, boxers chase their opponents, hoping to land the winning blow. The fighter above seems ready to come out of her corner and do whatever it takes to lay out her opponent.
But some fighters win by decision rather than the quick knockout. That fact, and the title of today's column, provide broad hints toward the solution of the problem shown below.
Before you begin, let's make note of a couple of things. First, White has two kings more or less entrapped in or near the Black double corner. Second, White has a man on 12 that is immobilized. Finally, White holds a bridge position on 29 and 31, but the man on 29 is immobile, and if White moves the man on 31, Black can stop it with 15-19 and then win it a few moves later.
So what can White do? Not much except perhaps shuffle around in the double corner. Black has a tremendous mobility advantage. That usually spells a win. The question is how to make it happen.
We'll repeat our hints. This is not a quick knockout; to win, Black must patiently apply technique. And again, keep in mind the title of our study. It's by no means an easy fight. This one is championship class.
Don't let this one knock you out; win the decision, then land your mouse on Read More to check your solution.[Read More]
One of Great Britain's most famous landmarks, London Bridge, has changed a lot over the years. The sketch above depicts London Bridge as it supposedly looked near the end of the 17th century. It's a far cry from today's London Bridge, and we suspect that's just as well.
One thing that hasn't changed over the years, though, is the Bridge Position in our game of checkers. Certainly, more variations and interesting problems have been published, but at heart a bridge has the same fundamental characteristics as ever.
Of course, sometimes a bridge is a win, sometimes a loss, and oft-times a draw. It all depends. In the following position, a rather unornamented bridge turns out to be a loss for the bridging side.
Is this a bridge that you can cross, by finding the Black win? We'd rate the difficulty as medium; if you're familiar with bridges, you won't have any trouble with it; and if you're not familiar with these positions, this is a good time to bridge that gap. When you're ready, click on Read More to see the solution.[Read More]
We didn't think they could do it, but our intrepid Research Department managed to come up with another meaning for the word stroke, to wit: at a stroke, with the meaning of "all at once," such as, "we solved a dozen checker problems at a stroke."
That would be quite a feat, indeed, and of course you just know we're going to present a stroke problem to kick off the month of June.
Can you solve this one "at a stroke" or will it take you longer? Are your powers of visualization up to the challenge? If you find the position difficult, we refer you to the quote at the beginning of the article.
When you've determined the correct moves, clicking on Read More will bring you to the solution--- at a stroke.[Read More]