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Technical Geometry

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code230-0228/01
Number of ECTS Credits Allocated2 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *Second Cycle
Year of Study *
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites
PrerequisitiesCourse Unit CodeCourse Unit Title
230-0241Descriptive Geometry
230-0242Descriptive Geometry
Name of Lecturer(s)Personal IDName
VOL18RNDr. Jana Volná, Ph.D.
Analytic geometry, curves, surfaces, 3D print.
Learning Outcomes of the Course Unit
The purpose of education should be to familiarize students with the possibilities of creating models of real objects and surfaces of technical practice using the freely-distributable funds and the preparation and optimization models for 3D printing.
Course Contents
1) Get acquainted with basic 3D printing technologies, available printers, 3D printing materials.
Parametric software for creating STL models and slicers.
2) Design and basic components of the 3D printer, its assembly and calibration.
Basic objects for modeling (cube, sphere, cylinder).
3) Preparing the print area, printing a simple object from the previous seminar.
Transformation (displacement, rotation, resizing).
4) Optimize wall thickness and fill of printed objects.
Set operations (unification, difference, penetration).
5) Support mechanisms for printing complex objects.
Modeling of hip roofs.
6) Cleaning the 3D printer.
Variables, cycle for, condition if.
7) Preparation of multi-material printing.
Linear and circle parameterization, extrusion tool.
8) Special printing materials.
Helix parameterization.
9) Preparation of serial printing.
Screw surfaces linear and cyclic.
10) Tools for editing STL networks.
Linear surfaces (circular, parabolic conoid).
11) Available 3D scanning options (creating a STL from a series of images).
Stramber trick, oblique passage.
12) 3D printer construction options.
Marseille and Montpellier arch.
13) Other modeling tools (cutting laser, simple horizontal cnc cutter).
Hyperbolic paraboloid (roofing).
14) Preparation of a semester project.
Recommended or Required Reading
Required Reading:
Černý, J.: Geometry. Praha, Vydavatelství ČVUT, 1996, ISBN 80-01-01535-1
Žára, J.: Moderní počítačová grafika. 2. přeprac. a rozš. vyd. Brno, Computer Press, 2004
Burda, P. - Havelek, R. – Hradecká, R.: Algebra a analytická geometrie: matematika I. Ostrava, VŠB - Technická univerzita Ostrava, 1997
Recommended Reading:
Stillwell, J.: Geometry of surfaces. New York, Springer, 1992, ISBN 0-387-97743-0
Machala, F.: Plochy technické praxe. Skriptum UP Olomouc, 1986
Doležal, M. - Poláček, J. - Tůma, M.: Sbírka řešených příkladů z DG a KG, díl 5. - Rotační a šroubové plochy. Skriptum VŠB - TU, Ostrava 1995.
Budinský, B.: Analytická a diferenciální geometrie. Praha, SNTL - Nakladatelství technické literatury, 1983
Planned learning activities and teaching methods
Individual consultations, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 (100)51
        TestOther task type50 25
        Semestrální projektSemestral project50 25