Sudoku Ripeto

Subtitle: A variant of Sudoku with repeated symbols

Article type: Research Article

Authors: Palomo, Miguel G.^{; *; **}

Affiliations: Universidad Politécnica de Madrid, Spain. E-mail: miguel.palomo@etsit.upm.es

Correspondence: [**] Corresponding author. E-mail: miguel.palomo@etsit.upm.es.

Note: [*] ETSI Telecomunicación, Universidad Politécnica de Madrid, C/ Ramiro de Maeztu 7, Madrid, Spain.

Abstract: We present a variant of Sudoku called Sudoku Ripeto. It seems to be the first to admit any combination of repeated symbols, and includes Sudoku as a proper subset. We present other Sudoku Ripeto families, each with a different repetition pattern. We define Sudoku Ripeto squares and puzzles, prove several solving rules that generalize those for Sudoku, and give sufficient conditions to flexibly solve puzzles with rules only, without search.

Keywords: Custom Sudoku, frequency polytope, frequency square, Latin polytope, Latin square

DOI: 10.3233/ICG-210180

Journal: ICGA Journal, vol. 43, no. 1, pp. 26-49, 2021