The Pentomino Puzzle


Remove Shape

Show just the solution. 

Do not remove manually placed objects.

Instructions

To manually place a shape in the diagram, click on the shape you want to place, or choose a new orientation for the shape using its forward and backward button. Once you've chosen a shape click on an empty square in the diagram. The square marked by the X in the small picture of the shape will be placed into the square you've chosen. The other squares of the shape must fit without overlapping other shapes or going outside the diagram.

To manually remove a shape, click on the Remove button, and then click on the shape in the main diagram.

Click on Clear to remove all shapes from the board.

At any point in the placement process, you may ask the computer to complete the solution by clicking on the Solve button.

If you click on Solve when the computer is already displaying a solution, it will discard that solution and find another. If you have manually placed pieces, it will not remove them unless you click on the Ok Rem button.

If you click on the Show button the computer will show its work as it progresses toward a solution. This is an extremely slow process, because the computer must usually try thousands of configurations to find a solution.

Click Stop to interrupt the computer's solution process. Click Solve again, without changing the board, and the computer will resume the solution where it left off. When you get tired of watching the computer try different configurations, click Stop, Show, Solve to jump immediately to the solution.

Click on 5x12, 6x10, 4x15, or 3x20 to change the shape of the board. (This also clears the board.) All of these boards have solutions. Click Solve on an empty board to see them. Except for the 3x20, which has only two unique solutions, each board has several thousand solutions. When you click Solve repeatedly to show different solutions, remember that the computer treats vertical flips, horizontal flips and 180-degree rotations as separate solutions. The computer will show 8 solutions for the 3x20 board, but only two of them are actually different from one another.


This page, its contents, and the Advanced Pentominos ActiveX control (Apent.ocx) are Copyright 2000, Peter M. Maurer.
For comments and complaints send mail to Peter_Maurer@Baylor.edu.
Home page http://cs.baylor.edu/~maurer