Beautifully sculpted from solid ash, the iridescent playing stones and brass hardware add to the luxe feel. Wolfum's version of the traditional mancala counting game, perfect for both kids and adults. We recently watched exciting videos like Deep Learning in 11 Lines of MATLAB Code, and are eager to try deep reinforcement learning for games. Skip to the beginning of the images gallery. What we'd really like to build up to here is to use the game-playing code for training the AI.
Then you still can can win capturing a pretty impressive 42 marbles on your first move! Tiny change on line 18 of the driver code (loop 1:6 instead of 1:12) will give you the sequence of plays to use for this variation! What's Next?
Some of the other Mancala rule sets out there include: no 'free' move, no 'automatic' move, only picking from the side of the board you are sitting next to, different number of holes, marbles!įor example, suppose 'automatic' moves and free moves are allowed, but you can only place on your side of the board. Let the Battle of the First Move play itself out! If newpickspot=0, newpickspot=12 end if board(newpickspot) > 1Įnd end end end Found 48-marble winning sequence! Newpickspot = mod(pickspot-numpieces, 12) Our code generates a 30-step-long sequence of plays % for the sweeping 48-marble win on your first move! function = mancalafirstmove (apick, board)įunction freemove = mancalamove(pickspot)įreemove = (pickspot = mod(numpieces, 12)) īoard = circshift(addapiece, -1*i) + board Gametrees = Įnd end if totalscore+score = 48 disp( 'Found 48-marble winning sequence!') disp(newwinningstreak) return end end endĮnd % The driver code calls a move function which will runs through 'automatic' % moves recursively. You know how some games have a first-player advantage? It turns out that in Mancala, you can find a way not only to win (which is nice), but to win all the marbles (awesome), and to do so on your very first move! % Here is driver code to find (one of many!) % all-48-marble-win-on-first-move solutions, which runs in ~20s on my % laptop! Is There a First-Player Advantage? (You Bet!) In the intial position, there are four stones in every hole. If you drop your last stone into a non-empty hole, you get to continue with what I call an 'automatic' move, picking up all stones from that hole. If you drop your last stone into your home, you get a 'free' turn. The rule set we wrote the code for is: you pick from any hole, and drop one stone at a time while circling the board in counterclockwise fashion, drop a stone into your home whenever you pass through it. Now, there are many ways to play the games in the Mancala family. Shout-out to my daughter, sixth grader Natalie, for introducing me to the game, and being a partner in these experiments. Let me tell you what happened when I got tired of losing at Mancala, and decided to write some MATLAB code to play it. Is There a First-Player Advantage? (You Bet!).
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