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Origami diagram creator
Pecka, Martin ; Petříček, Martin (advisor) ; Podzimek, Andrej (referee)
The main target of the Origamist application is to aid with creating origami diagram manuals. Recently, the most common methods for creating those manuals are drawing the steps in an image editor, or taking photographs of the folded steps and composing them together (again in an image editor). What Origamist brings is a new alternative to these methods. The manual's author gets the possibility to transfer the sequence of paper folds the manual consists of to the Origamist application, which is able to export several types of output - the most favourite (among origami folders) PDF manuals, but also image manuals (as PNG or SVG), and even as an animation of the folding process. There is also the added value to translate the descriptions of the steps to several languages.
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Paper folding and its use in geometry and algebra
Termerová, Eliška ; Vondrová, Naďa (advisor) ; Zamboj, Michal (referee)
This thesis aims to collect examples of the use of paper folding in various mathematical areas. It also demonstrates solutions of ancient mathematical tasks, instructions for modelling regular n-sided polygons, conic sections and areas of trapezoids with the use of paper folding. Paper folding is also used for the proofs of Pythagoras' theorem and algebraic identities. The thesis includes other examples of the use of paper folding as well.
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Geometric constructions in paper folding
JANČICH, Jakub
The diploma thesis Geometric constructions by paper folding is focused on the use of paper folding in teaching mathematics. The main part is formed by worksheets, where the paper folding replaces drawing geometric tasks. For verification and practice of geometrical knowledge additional questions to each construction are added. To simplify and unify approach for developing worksheets constructions of basic axioms which enable to construct all the tasks are described.
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Origami diagram creator
Pecka, Martin ; Petříček, Martin (advisor) ; Podzimek, Andrej (referee)
The main target of the Origamist application is to aid with creating origami diagram manuals. Recently, the most common methods for creating those manuals are drawing the steps in an image editor, or taking photographs of the folded steps and composing them together (again in an image editor). What Origamist brings is a new alternative to these methods. The manual's author gets the possibility to transfer the sequence of paper folds the manual consists of to the Origamist application, which is able to export several types of output - the most favourite (among origami folders) PDF manuals, but also image manuals (as PNG or SVG), and even as an animation of the folding process. There is also the added value to translate the descriptions of the steps to several languages.
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Constructions using paper folding
VORÁČEK, Marek
The aim of the bachelor thesis Constructions using paper folding is to look at basic folding principles and to show geometric constructions that can be done by folding. Part of the thesis is dedicated to problems such as angle trisection, which can not be solved with straightedge and compass, their solutions using paper folding is described.
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Paper folding
ŠOLÁ, Martina
The aim of the bachelor thesis called. Paper Folding is to show the utilization of this scientific discipline not only in solution to various geometric tasks, from ancient to contemporary, but also the incorporation into the teaching of mathematics as a useful tool to help understand the discussed schoolwork. Two typical problems of the ancient mathematics are solved and proved in this thesis - angle trisection and the duplication of the cube, construction of plane and spatial figures and selected problematic tasks.
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