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Program for Generation of the Image Crosswords
Navrátil, Ondřej ; Pospíchal, Petr (referee) ; Kaštil, Jan (advisor)
Main topic of this thesis is the picross, a puzzle similar to well-known sudoku or criss cross. Central questions discussed in the text are automatic and semi-automatic generation of the rebus from digital images and solving and solvability of the puzzle. Characteristics and procedures described are demonstrated in the aplication picross, which was implemented as a part of this bachelor's thesis.
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Application of group theory in solving puzzles
Pavlík, Tomáš ; Opršal, Jakub (advisor) ; Tůma, Jiří (referee)
This thesis studies the theory of combinatorical puzzles and its connection to the group theory. The aim of this work is to introduce the concept of puzzle to mathematics and to use group theory to solve it, special attention will be focused on solvable groups. Everything is interspersed with a number of practical examples to better understand the topic.
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Application of group theory in solving puzzles
Pavlík, Tomáš ; Opršal, Jakub (advisor) ; Tůma, Jiří (referee)
This thesis studies the theory of combinatorical puzzles and its connection to the group theory. The aim of this work is to introduce the concept of puzzle to mathematics and to use group theory to solve it, special attention will be focused on solvable groups. Everything is interspersed with a number of practical examples to better understand the topic.
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Futoshiki Puzzle
Benedikti, Tomáš ; Horáček, Petr (referee) ; Zámečníková, Eva (advisor)
This thesis deals with the topic of logical games and puzzles. The main focus is on the Futoshiki puzzle, its history and rules. The algorithms created for the application are covered in depth, from the design to the implementation. The last part contains the creation of the user interface and testing the success of the application.
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Program for Generation of the Image Crosswords
Navrátil, Ondřej ; Pospíchal, Petr (referee) ; Kaštil, Jan (advisor)
Main topic of this thesis is the picross, a puzzle similar to well-known sudoku or criss cross. Central questions discussed in the text are automatic and semi-automatic generation of the rebus from digital images and solving and solvability of the puzzle. Characteristics and procedures described are demonstrated in the aplication picross, which was implemented as a part of this bachelor's thesis.
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Logical puzzles and brainteasers as optimization problems
Lukesová, Kristýna ; Chýna, Vladislav (advisor) ; Šindelářová, Irena (referee)
This thesis applies classical optimization problems such as assignment or set-covering problem on logical puzzles or brainteasers. Listed in the first part are mathematical model, description and typical example of each optimization problem used in this thesis. The second part contains these models applied to the particular brainteasers for example Sudoku or Einstein's Puzzle. Exercises are divided into simpler and more complex ones. There is specification, source and a described method of solution stated for each of them. The calculation examples use Lingo or MS Excel or both. The aim is to show the possibility to address logical puzzles and brainteasers with the use of optimization problems, and thus confirm the wide possibilities of using these models. These examples can clarify and diversify the curriculum.
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