|Auf Deutsch, but most of the site in English too. Huge collection of puzzles, most of them with pretty nice Java applets. Not to be missed.|
If you ever experienced frustration in your dealings with some administration, then Robert Abbott's Bureaucratic Nightmare (www.puzzlemonster.com/visual/nightmare/) would have been for you, but it too was in Java and has disappeared.
|Once upon a time, there was a beautiful prince... No, let's start again. Once upon a time, there was a former adviser to Margaret Thatcher who designed a puzzle so difficult that it would take anybody many years (one million billion, according to his calculations) to solve it. So he offered a prize of one million pounds for the first one to solve it. Unfortunately, his estimates were somewhat wrong (what a surprise…), and it took barely one year for some smart mathematicians to come up with a solution.|
and its siblings … but in spite of all that stuff, the puzzle was (and still is, minus the prize) a lot of fun, and it had four companions, one online (now gone) and the other three for sale.
|The first two, Meteor (featuring 10 pieces, 2098 solutions) and Delta
(14 pieces, 1494 solutions), can be solved rather quickly. They both use basic grids that are made of only one shape (hexagon or triangle), so that sliding a piece can be done regardless of the position (in integer grid steps, of course). The third one, Heart (20 pieces, 50 solutions), is a bit trickier, because it uses a composite grid (two squares and two rhombi).
|And now for something completely different. Gone are the shapes. 256 square pieces to fit in a 16 by 16 grid. Sounds easy. Alas, the pieces are patterned, and adjacent ones have to fit. Deadline end 2008 for a prize that has doubled : two million. But they went from GBP to USD… which must have looked like a great idea before the pound collapsed. No doubt the prize for some future scion will be in Ecuadorian sucre.|
Pentominoes Of course, it started long ago with the mother of them all. I do not post my programs for this, as there are already good ones
was a nice page (now gone) showing all solutions for the 6×10, 5×12, 4×15 and 3×20 boards, but the site remains a treasure trove of data on similar objects. Also worth a visit, the MathWorld page.
By the way, it is not that difficult to solve the 3×20 once you notice that some pieces can only be placed at specific locations.
|As Stuart Coffin puts it, this set of 35 pieces is already too large to be
enjoyable. Moreover, they cannot make a rectangle, since 11 pieces are not
balanced. They will only fill a pattern with an excess of 2, 6, 10, 14, 18 or 22 squares of one parity. The simplest such figure is a right triangle whose short sides are both 20 squares long (excess 10). Still, it is no fun at all to (try to) do it by hand.
Using a program, even if the waiting time between solutions is rather short, the general progress is awfully slow: With the pieces numbered as in Spear's Multipuzzle, the 17th piece has not changed yet after more than 22000 solutions. This means that the total number of solutions will be rather high…
The site of Aad van de Wetering offers (among others) FlatPoly, an utterly friendly application for creating and solving this kind of puzzles.
Last update 2018-12-09