|
|
Secondary school polyhedrons with internet
Helm, Jan ; Hromadová, Jana (advisor) ; Šarounová, Alena (referee)
The thesis is destined mainly for high school teachers and students of descriptive geometry. Above all it deals with the intersection and the construction of pyramids and prisms in projections. Students can meet with these phenomena at high schools during lessons of descriptive geometry. The constructions of the intersections of figures are demonstrated on solved tasks. The tasks are processed in graphic programmes GeoGebra and Cabri 3D prospering from the following advantages and facilities of these programmes: a stepping of the construction, a contour accentuation or a secretion of auxiliary lines etc. Besides these solved tasks, there are also some unsolved tasks for practice at the ends of chapters. The introductory chapter contains definitions and characters of common polyhedrons and regular (Platonic) figures. The thesis consists of web sites, a printed version and an enclosed printed version in .pdf format.
|
|
|
Drawing polytopes in various dimensions
Ondráček, Lukáš ; Šámal, Robert (advisor) ; Mareš, Martin (referee)
The thesis describes implementation of an application for drawing three- and multidimensional polytopes allowing their fluent rotation. The application Geometric Figures for Linux and Windows is written in the C language using the OpenGL library and it supports plug-ins written in the Python language. Iterated perspective projection and edges coloring according to their location is used. In addition, the application is able to generate the convex hull of a set of points, cut figures with hyperplanes, stellate figures, create geometrically dual polytopes and cut off parts of figures; all functions are independent to the number of dimensions of the polytopes. The application profits from its easy extensibility using modules and its code being open-source. Powered by TCPDF (www.tcpdf.org)
|
|
|
Polyhedra and their nets
Martínková, Jana ; Šarounová, Alena (advisor) ; Bečvář, Jindřich (referee)
This text is especially intended as an educational material and didactic help for primary and secondary-school teachers. The thesis can be divided into four parts. In the first one there are summerized facts about polyhedra. There is said something about prisms, pyramids, regular, semiregular and Kepler-Poinsot polyhedra. Other part consists of worksheets especially for secondary-school students. It could be helpfull for improving their skills. In the third part we can find solutions of worksheets made by students. In the last part of thesis there are some examples of models as didactic help.
|
|
|
Secondary school polyhedrons with internet
Helm, Jan ; Hromadová, Jana (advisor) ; Šarounová, Alena (referee)
The thesis is destined mainly for high school teachers and students of descriptive geometry. Above all it deals with the intersection and the construction of pyramids and prisms in projections. Students can meet with these phenomena at high schools during lessons of descriptive geometry. The constructions of the intersections of figures are demonstrated on solved tasks. The tasks are processed in graphic programmes GeoGebra and Cabri 3D prospering from the following advantages and facilities of these programmes: a stepping of the construction, a contour accentuation or a secretion of auxiliary lines etc. Besides these solved tasks, there are also some unsolved tasks for practice at the ends of chapters. The introductory chapter contains definitions and characters of common polyhedrons and regular (Platonic) figures. The thesis consists of web sites, a printed version and an enclosed printed version in .pdf format.
|
guest ::
