Teaching descriptive and constructive geometry at the

Department of Geometry Budapest University of

Technology and EconomicsM. Szilvasi-Nagy

Web-site of the Department: http://www.math.bme.hu/~geom

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

• Orthographic projection (Monge’s system)Constructions with lines, planes and polyhedra

true size, distances, anglesProjection of the circle, representation of a sphere, cone

and cylinder, intersection with planes, conic sections

• Axonometric viewThe constructions are made with traditional tools (pencil, rulers,

compasses) because of the big number of students (~350)

Classical constructions in Monge projections

Orthogonal axonometric view

Descriptive geometry with computer-aided modeling for

engineering designer students(1 semester, 1+2 hours)

• Descriptive geometry (common with mech. eng.)• Spatial constructions with a CAD-system

(4*2 hours in the semester)Constructions of polyhedra (spatial geometry)Modeling with simple solids

(prisms, cylinders, geometric transformations, Boolean operations)

Spatial construction with the help of Cadkey

Pyramids on the faces of a parallelepiped

The resulting solid in orthographic and axonometric views

Worksheet for the construction

Construction of a cube

Composite model (Boolean operations)

Composite model with cylindrical components (geometric transformations)

Constructive geometry with computer (optional course for more faculties; 1 semester, 1+2 hours)

• Geometric backgrounds of modeling(definition, geometric operations, visualization)

• Spatial constructions, modeling with solids, spline-curves and free-form surfaces (labs. with Cadkey)

Constructions of regular polyhedra

Intersection of a cube and a sphere

Modeling with different surfaces

Visualization methods

Models of our students

Models of our students

Models of our studentsThe CadKey download files of student’s works are

on the web-site of our department:http://www.math.bme.hu/~geom/KGeom

The 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.kubotekusa.com/products/spectrum/

Compoly: teaching program for interactive construction on the web

(http://www.math.bme.hu/~geom/compeng/compoly.jar)