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Questions concerning the mathematics of the game of chess, or chess-related mathematical pursuits.

6 votes
3 answers
255 views

Longest sequence of moves where number of available moves increases

White has 20 available moves at the start of the game. After 1.a4 e5, white has 21 available moves. (The rook has gained 2 moves, while the pawn has lost 1). What is the longest sequence of moves wher …
Steve Bennett's user avatar
-1 votes
1 answer
76 views

Longest sequence of moves where White's number of available moves does not change

There are challenges for the longest sequence of moves in which white's available moves increase or decrease. This challenge is for the longest sequence of moves (from the opening position) in which w …
Steve Bennett's user avatar
6 votes
4 answers
639 views

Longest sequence of moves where white's number of available moves decreases

An easier version of this White has 20 available moves at the start of the game (from the standard position). After 1.h3 h5, white has 19 available moves. (The h pawn has lost the ability to move two …
Steve Bennett's user avatar
2 votes
1 answer
159 views

How many unoriginal pawn moves can be made in a single game?

Consider an "unoriginal pawn move" to be a pawn move whose notation matches a move already played in the game. For instance, after 1.e4 e5 2.d4 exd4 3.e5, there is one unoriginal pawn move, the e5 pla …
Steve Bennett's user avatar
5 votes
2 answers
3k views

How many times can the same pawn move be made in a game?

How many times in a game can "the same pawn move" be made? By "the same pawn move", I mean, a move made by a pawn that would be notated the same way. For instance, after 1.e4 e5 2.d4 exd5 3.e5, black …
Steve Bennett's user avatar