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About Miguel Palomo
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Blog postThis is a short description of Sudoku Ripeto and Custom Sudoku, the first Sudoku variants with repeated numbers and letters, respectively.
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Blog postSudoku Ripeto and Custom Sudoku are featured in the Gift Exchange Book following the Gathering for Gardner 13th Conference, that was held in Atlanta in 2018. The book is available for download here.
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Blog postSudoku Ripeto is, like classical Sudoku, a Latin Puzzle played on a square board with nine rows, nine columns, and four 3 x 3 sub-squares as regions. The difference with classical Sudoku is that numbers may repeat: this requires new solving strategies, and provides players with new solving experiences.
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Blog postCustom Sudoku is, like classical Sudoku, a Latin Puzzle played on a square board with nine rows, nine columns, and four 3 x 3 sub-squares as regions. The difference with classical Sudoku is that it is played with letters that may repeat: this requires new solving strategies, and provides players with new solving experiences. Additionally, letters may form a word in the starting board, like in the example.
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Blog postSudoku Ripeto: Power Mix (Volume 2) contains 60 Sudoku Ripeto puzzles with assorted difficulties and repetition patterns.
Sudoku Ripeto is the first Sudoku variant with repeated numbers. It presents new challenges to players and requires new solving techniques -
Blog postCustom Sudoku: Countries & Territories (Volume 1) contains 252 puzzles in assorted difficulties, each featuring the name of a country or territory.
Custom Sudoku is the first Sudoku variant with repeated letters. It presents new challenges to players and requires new solving techniques -
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Blog postPresentation at the 13th Gathering 4 Gardner Conference in Atlanta.
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Blog postCustom Win is a Latin Puzzle played on a square board with nine rows, nine columns, and four square sectors as regions.
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Blog postCustom Wave is a Latin Puzzle played on a square board with seven rows, seven columns, and seven sectors as regions.
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Blog postCustom Steps is a Latin Puzzle played on a square board with ten rows, ten columns, and ten sectors as regions.
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Blog postMathematically, solving a Sudoku Ripeto or Custom Sudoku puzzle, just like any other Latin puzzle, can be seen as a problem of hypergraph coloring. As with classical Sudoku, finding puzzles and solutions can be performed with techniques like constraint programming or dancing links.
Of interest are questions of existence, enumeration and minimality. For example: what is the minimum number of clues that a Sudoku Ripeto puzzle played with numbers 111222333 may have? The answer for classical -
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Blog postThe ideas regarding boards, regions, and symbols mentioned in the post Latin Puzzles are condensed in the Latin Puzzle definition:
1. A board has:any set of placeholders called cellsany set of cells called regions, each with the same sizeevery cell at least in one region2. A Latin puzzle (lower-case p) has: a boarda multiset of symbols with the same size as the regionsthe instruction: Write one symbol on each empty cell so that every region has all symbols in the multiseta set of cl -
Blog postCustom Star is a Latin Puzzle played on fourteen lines as regions.
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Blog postBoth Sudoku Ripeto and Custom Sudoku are examples of Latin Puzzles. Latin Puzzles generalize both classical Sudoku and the Latin square Puzzle (see below) with different board shapes, repeated numbers and repeated letters.
The Latin Square PuzzleA Latin square of order n is an arrangement of n x n cells in which every row and every column holds numbers 1 to n –other symbols may be used provided they are all different. Latin squares are well known objects and the base of Sudoku. They -
Blog postCustom Sky is a Latin Puzzle played on a square board with ten rows, ten columns, and ten 2 x 5 rectangles as regions.
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Blog postCustom Quadoku is a Latin Puzzle played on a square board with nine rows, nine columns, and thirteen 3 x 3 sub-squares regions.
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Blog postCustom LatinSquare is a Latin Puzzle played on a square board with eleven rows and eleven columns as regions.
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Blog postCustom Focus is a Latin Puzzle played on a square board with eleven rows, eleven columns, and four sectors as regions.
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Blog postQuadoku Ripeto is a Latin Puzzle played on a square board with nine rows, nine columns, and thirteen 3 x3 square sectors as regions.
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Blog postCustom Dantly is a Latin Puzzle played on a square board with eleven rows, eleven columns, and six sectors as regions.
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Blog postCustom Lotus is a Latin Puzzle played on a lotus-shaped board with seven wreaths and fourteen spiral arms as regions.
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Blog postOrb Ripeto is a Latin Puzzle played on a spherical board with eight meridinas, eight parallels, and eight curved rectangular sectors as regions.
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Blog postCustom Choc is a Latin Puzzle played on a square board with eight rows, eight columns, and eight rectangular sectors as regions.
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Blog postCustom Life is a Latin Puzzle played on a circular board with circles as regions.
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Blog postCustom Orb is a Latin Puzzle played on a circular board with eight meridians, eight parallels, and eight curved sectors as regions.
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