Skip to main content
Skip header

Analytic geometry with 3D print

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

Course Unit Code310-2116/01
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
OTI73Mgr. Petr Otipka, Ph.D.
Summary
The course focuses on the cultivation of logical thinking, develop spatial imagination, learn the basics of parametric modeling in space.
Learning Outcomes of the Course Unit
Students will become familiar with the use of vector calculus in geometry, linear transformation capabilities for geometric objects and foundations parameterization technical areas. Practical use of this knowledge will be used to create objects for 3D printing.
Course Contents
Lectures
1) Euclidean space, geometric vector, vector operations, own numbers and own vectors.
2) Plane, straight line, mutual position of linear units in E3.
3) Metric properties of linear formations, volume of parallelepiped.
4) Conics.
5) Quadrics in basic position.
6) Cylindrical surfaces.
7) Screws.
8) Screw lines.
9) Screw circular surfaces.
10) One-part hyperboloid, hyperbolic paraboloid.
11) Konoids - circular, parabolic.
12) Conusoids - sloping passage, Marseille and Monpelliers arch.
13) Transition areas.
14) Reserve

Exercises
- relevant topics from lectures using computer technology will be practiced
- Students will be familiar with FDM 3D printing issues

1a) Euclidean space, geometric vector, vector operations, own numbers and own vectors.
1b) Parametric software for creating STL models and slicers.
2a) Plane, straight line, mutual position of linear units in E3.
2b) Basic objects for modeling (cube, sphere, cylinder).
3a) Metric properties of linear formations, volume of parallelepiped.
3b) Transformation (displacement, rotation, resizing).
4a) Conic.
4b) Variables, cycle for, condition if.
5a) Quadrics in basic position.
5b) Design and basic components of the 3D printer, its assembly and calibration.
6a) Cylindrical surfaces.
6b) Introduction to basic 3D printing technologies, available printers, 3D printing materials.
7a) Screws.
7b) Preparing the print area.
8a) Screw lines.
8b) Optimize wall thickness and fill of printed objects.
9a) Screw circular surfaces.
9b) Support mechanisms for printing complex objects.
10a) One-part hyperboloid, hyperbolic paraboloid.
10b) Cleaning the 3D printer.
11a) Conoids - circular, parabolic.
11b) Preparation of multi-material printing.
12a) Conusoids - Marseille and Monpelliers arch.
12b) Special print materials.
13a) Transition areas.
13b) Tools for modifying STL networks.
14) Preparation of a semester project.
Recommended or Required Reading
Required Reading:
ČERNÝ, Jaroslav. Geometry. Praha: Vydavatelství ČVUT, 1996. ISBN 80-01-01535-1.
Signatura: 256952
BURDA, Pavel, Radim HAVELEK a Radoslava HRADECKÁ. Algebra a analytická geometrie: matematika I. Ostrava: VŠB - Technická univerzita Ostrava, 1997. ISBN 80-7078-479-2.
Signatura: 250054

BUDINSKÝ, Bruno. Analytická a diferenciální geometrie. Praha: SNTL - Nakladatelství technické literatury, 1983.
Signatura: 179478

ŽÁRA, Jiří. Moderní počítačová grafika. 2. přeprac. a rozš. vyd. Brno: Computer Press, 2004. ISBN 80-251-0454-0.
Signatura: 250164

Recommended Reading:
STILLWELL, John. Geometry of surfaces. New York: Springer, c1992. ISBN 0-387-97743-0.
Signatura: 247063
http://mi21.vsb.cz/modul/linearni-algebra
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaI/MI.html
Planned learning activities and teaching methods
Lectures, Tutorials, Project work
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
        Written testWritten test50 25
        ProjectSemestral project50 25