  Based on a previous generalization by the author of Latin squares to Latin
boards, this paper generalizes partial Latin squares and related objects like
partial Latin squares, completable partial Latin squares and Latin square
puzzles. The latter challenge players to complete partial Latin squares, Sudoku
being the most popular variant nowadays.
  The present generalization results in partial Latin boards, completable
partial Latin boards and Latin puzzles. Provided examples of Latin puzzles
illustrate how they differ from puzzles based on Latin squares. The examples
include Sudoku Ripeto and Custom Sudoku, two new Sudoku variants. This is
followed by a discussion of methods to find Latin boards and Latin puzzles
amenable to being solved by human players, with an emphasis on those based on
constraint programming. The paper also includes an analysis of objective and
subjective ways to measure the difficulty of Latin puzzles.
