![]() Then ABA'B' is a commutator that will do a 3-cycle involving X. Two transformations A,B that intersect in only one place X such that both A and B moves the piece at X away. In general, for permutation puzzles that don't have physical restrictions, including puzzles like the Rubik's cube, we can solve them systematically by finding the following: In fact, you can do it without using the top-left circle! This puzzle is easy once you try to put the red dots into their correct places instead of focusing on the green dots. But the Rubik's cube has some constraints that reduce the possible positions by a factor $12$ compared to diasassembly. For example, there might be a parity restriction that there are always an even number of greens in the center. It is possible that there is no such series of moves, but the puzzle is solvable anyway. The reason it is group theory is you have three basic moves with inverses and associativity.Īdded, based on Benno's comment to Zev's answer: if you can find a series of moves that interchanges an inside point with an outside point leaving all others in place you have an algorithm (maybe not the fastest). Then you use the logic of commutators-find a pair you want to swap, do whatever moves it takes to put those in the position you know how to swap (remembering how you put them there), swap them, then undo the moves that got them there. ![]() In this puzzle it is harder to see as the points are not distinguishable-it would help to put numbers 1-6 on the green ones and 11-16 on the red. One approach is to find a series of moves that interchange two points, leaving all the rest alone. The best developed literature I have seen (but I haven't read a lot) is on Rubik's cube. Machinarium is cross-platform the PC version supports Linux, Mac OS, or Windows and is found on Steam, or if you’re into mobile: Android and iOS (limited to the iPad 2 it seems).Yes, there is a lot of group theory in these puzzles. Machinarium is available for purchase in the Ubuntu Software Centre for $10.00, or you may have gotten it as part of the Humble Bundle for Android 4 lineup.īuy Machinarium from the Ubuntu Software Centre ![]() Having said that, my chief problem was cursor drift within the game, which I found was solved when disabling the full-screen mode, then the game ran relatively smoothly. Machinarium uses Adobe Flash as it’s engine suffice to say, there are performance issues on Linux. However, like most puzzle games, it’s replayability is lost when the answers are known. If you’re into logic-puzzle games, Machinarium is perfect -thankfully, it has built in hints for those inevitable moments of frustration. With the entire game being hand-drawn, it gives the dystopic Machinarium a certain whimsy, and the industrial trip-hop soundtrack is quite befitting as well. The folks over at Amanita Design seem to have a knack for beautiful games, and Machinarium is no exception. Like the rest of the game, the walkthrough is not written or spoken, but is a series of sketches describing the current puzzle and how to solve it. Each level has a use-once hint available, which becomes less useful the further you progress.Īlternatively, beating a side-scrolling mini-game unlocks a walkthrough for the current puzzle. If you get stuck, the game does provide some help. Within the game, your interaction is limited to objects within the robot’s reach, fortunately our hero is drawn to items of interest so you’re not left dragging the cursor about trying find some sign of interactivity.īeyond standing and picking up things, our robot hero has some abilities (albeit they are rather mundane): he can stretch and squish his torso and extend his arms to reach and interact with things that may be of some use to him, some of which he’ll eat for use later. Instead, you are guided through the game by a series of animated thought bubbles from the player’s character, and from the various characters you interact.Īt no point is Machinarium obviously straightforward, solving the puzzles does require a degree of logic. Machinarium is notable in that it contains no written or spoken dialogue, at least not understandably so. Yet the game focuses on our unassuming robot friend and his simple desire to return to his absent female companion, after being accidentally dumped in the scrap yard. Whilst quiet in its narrative, Machinarium is rife with plot an unexplained bomb plot against the city, combined with an opportunistic kidnapping. Like most role-playing games, you control the titular character, in this case a robot, as you guide him through the eponymous city, collecting items and solving environmental puzzles. ![]() Machinarium, is another artfully designed puzzler from Amanita Design. Follow the story of an atypical robot hero set out to rescue his robot-girlfriend, and in turn save the city and defeat the bad guys.
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