Department of Geometry
Budapest University of
Technology and Economics
JAVA Applets
Visualization of a userdefined truncated pyramid in
axonometric view and in the Mongeprojections. (M. SzilvásiNagy)
Construction of a composition of truncated pyramids.
The actual userdefined model can be positioned by rotation and
translation and merged to the collection. The result is shown in the
Mongeprojections or in axonometric view.
The stand alone program (compoly.jar) writes the data of the
composition in obj format for javaview. [download]
(M. SzilvásiNagy)
The 17 crystallographic groups of the
Euclidean plane. The program allowes of visualizing the orbit of
a point, drawing patterns and constructing DVcell tilings randomly or
by user input. (I. Prok)
A large collection of three dimensional regular and
semiregular polyhedra is shown allowing of moving and colouring them.
(I. Prok)
A large collection of four dimensional convex uniform
polytopes. The program can visualize also the incidence structure of
verteces, edges, 2Dfaces and 3Dfaces. (I. Prok)
Convex hull of maximal 200 points given by their
Chartesian coordinates in three dimensional Euclidean space.
The applet does not read or writes data files, but offers few examples
and the possibility to type input data points. The program computes
edges and faces of the convex hull of the specified points and shows
the result in Mongeprojections and in axonometric view. You may look
at the polyhedron from different directions and scale and translate the
projections.
The stand alone program (convexhull.jar) reads data files (three
coordinates in each line) and also writes the data of the convex hull
in obj format for javaview.
[download] You may [download]
also a data collection of semi symmetric
polyhedra
and the vertices of a Dirichlet cell with the most facets known until
now
computed by I. Prok. (M. SzilvásiNagy)

Geometry teaching
Three geometry coarses are presented in
this linked file (a series of dias in Microsoft PowerPoint file):
1. Classical descriptive geometry for first year mechanical engineering
students
2. Descriptive geometry with computer aided geometric modeling for
first year engineering designer students
3. Constructive geometry with computer, using a professional modeling
system (CadKey) for second year mathematician and engineering students.
A collection of works of our students are shown in the website:
http://www.math.bme.hu/~geom/KGeom.
The model files can be downloaded and visualized with the Viewer of
KubotekSpectrum (free download from
http://www.Kubotekusa.com).
A
Maple worksheet for defining and visualizing surfaces and their lines
of intersection.
[download] This worksheet helps in teaching differential
geometry. (M. SzilvásiNagy)
Developements with Javaview
Three
works of our students represented with
Javaview