Slightly related: I am an Arab who speaks Arabic and reads Arabic and the only place I ever see the unicode character ﷽ is by programmers giving an example of "unicode is too hard".
Perhaps as a graphical element at the beginning of books, too.
It is a part of the Arabic Presentation Forms block which explicitly is for supporting legacy encodings and should not be used.
It’s one code point that’s (in theory) meant to hold the ligature of the whole phrase. As it stands it’s only used as a demonstration of Unicode difficulty.
How does the application apply the same lighting setting to all photos if applying the same lighting settings in Lightroom is not suitable for all images? What magic is being done here?
(and what advantage does it have over using `magick`?)
... and if it weren't the rule, it'd make a lot of mid- and late-game play much safer for the player with the advantage. As it is, it's something they have to watch out for, which constrains them somewhat. You have to win, but not the wrong way, and your opponent can attempt to force you to "win" the "wrong way" (resulting in a stalemate).
Chess has different pieces, which has higher entropy than a true 1d backgammon or 1d checkers with only one piece a field.
You could play with pieces that have a value of 1..N instead. Starting with 2,3, and 5 value pieces, and splitting them as needed. Making it one-dimensional again, while keeping 100% of the rules.
Final verdict, therefore: backgammon is 1D, not 1.5.
We could pretend that the second dimension was not playing a role in tactics back then, since it was very recently invented, like the brothers Wright invented the third dimension a hundred years ago. Or some hot air balloon at a world faire did it.
The "dimensions" in these board games isn't a mathematical/topology thing, is it? Normally one dimension = one real number space. Every board game ever would fit in 1D then, "2D" chess included.
I'm fine calling Backgammon 1.5-D. Physically you focus on a single dimension, and the second one matters too but it's not the same.
That's a good point, you could surely model full chess in a single dimension, it would just be that each pieces' movement rules would be more confusing
E.g. a pawn can move exactly 8 squares towards its opponents end (16 on its first move if no piece occupies 8 squares away), but can only capture 7 or 9 squares forward (with some extra modulo math to prevent wrapping)
My brother and I once took a train trip from L.A. to Omaha and back for a friend’s wedding and played backgammon for most of the trip. For weeks afterwards, I saw backgammon everywhere (most notably when reading dialogue-heavy books with lots of 1-line paragraphs).
You’d be surprised – take a Backgammon board to a table in at a cafe in a popular area and chances are someone will sit down to play with you. Can be a good way of meeting people in a new area. (or new people in an old area!)
It was a good way to while away the time at jury duty back in the days when you had to physically be there until you were called. I encountered a tournament player who beat me maybe 4 times out of 5. I also played in a chess tournament where my opponent was considerably stronger and faster and quickly put me in a position where I had to think long and hard to try to avoid disaster (fruitlessly in the end). She would make her move, wait a few seconds to see if I would reply, and then get up and disappear into a back room where, I found out later, she was playing backgammon. I looked her up and learned that she was a rapidly rising women's chess star but was better known as a semi-pro backgammon player.
There are tons of 1D games. Somebody else mentioned Mancala, and I'd also mention the venerable Game of Goose, which can become anything from Candyland to sophisticated things like Kramer and Kiesling's That's Life or Parlett's Hare & Tortoise. Hell, Monopoly is also 1D if we're willing to allow circuits like Mancala.
Like the other comment said, usually being careful not to hang pieces and capturing hanged pieces takes one a long way. The most applicable advice is to count attackers and defenders in a particular square (or piece) and if you have more attackers than defenders then it is safe to move there, generally.
I was being (slightly) flippant. As in any other discipline you do need to actually learn some things: tactics practice, basic endgames, basic opening principles.
But that's different from opening theory and what people usually mean by memorization. It is almost all pattern recognition and rules of thumb, and all the opening theory memorization in the world won't help you if you dont understand the ideas behind them. All the top players are extremely sharp tacticians long before they do any memorization.
Yes there is a version of Input that is a monospaced font and doesn't solve the problem tackled by Monaspace and the proportional version of Input and is therefore as relevant to this discussion as .. I dunno .. Courier New.
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