Teaching descriptive and constructive geometry at the Department of Geometry Budapest University of Technology and Economics

1
Teaching descriptive and constructive geometry at
the Department of Geometry Budapest University of
Technology and Economics

• M. Szilvasi-Nagy
• Web-site of the Department http//www.math.bme.hu
  /geom

2
Basic course of descriptive geometry at the
Faculty of Mechanical Engineering (1 semester,
12 hours)

• Orthographic projection (Monges system)
• Constructions with lines, planes and polyhedra
• true size, distances, angles
• Projection of the circle, representation of a
  sphere, cone and cylinder, intersection with
  planes, conic sections
• Axonometric view
• The constructions are made with traditional tools
  (pencil, rulers, compasses) because of the big
  number of students (350)

3
Classical constructions in Monge projections
4
Orthogonal axonometric view
5
Descriptive geometry with computer-aided modeling
for engineering designer students(1 semester,
12 hours)

• Descriptive geometry (common with mech. eng.)
• Spatial constructions with a CAD-system (42
  hours in the semester)
• Constructions of polyhedra (spatial geometry)
• Modeling with simple solids
• (prisms, cylinders, geometric
  transformations, Boolean operations)

6
Spatial construction with the help of Cadkey
7
Pyramids on the faces of a parallelepiped
8
The resulting solid in orthographic and
axonometric views
9
Worksheet for the construction
10
Construction of a cube
11
Composite model (Boolean operations)
12
Composite model with cylindrical components
(geometric transformations)
13
Constructive geometry with computer (optional
course for more faculties 1 semester, 12 hours)

• Geometric backgrounds of modeling
• (definition, geometric operations,
  visualization)
• Spatial constructions, modeling with solids,
  spline-curves and free-form surfaces (labs. with
  Cadkey)

14
Constructions of regular polyhedra
15
Intersection of a cube and a sphere
16
Modeling with different surfaces
17
Visualization methods
18
Models of our students
19
Models of our students
20
Models of our studentsThe CadKey download files
of students works are on the web-site of our
departmenthttp//www.math.bme.hu/geom/KGeomThe
viewer program CKviewer (linked there) shows
only wire-frame models.In order to get full
impression of the models use the viewer of
KubotekSpectrum (free download)http//www.kubote
kusa.com/products/spectrum/
21
Compoly teaching program for interactive
construction on the web (http//www.math.bme.hu/g
eom/compeng/compoly.jar)