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2022W, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to...

• Classify fractal forms
• Analyse shapes using methods of fractal geometry
• Investigate dynamic systems
• Predict chaotic behaviour of dynamic systems
• Generate natural forms and phenomena by means of fractals

## Subject of course

• Introduction and comparison of fractal and classic geometry
• Basics of fractal geometry (metric spaces, dynamic systems, fractal dimension)
• Iterated Function Systems (IFS)
• Julia-Sets and Mandelbrot-Set
• Stochastic Fractals
• L-Systems
• Chaos Theory
• Video presentation

## Teaching methods

Introduction to the concepts of fractal geometry.

Explanation of the different classes of fractals and their properties.

Illustration of fractal geometry through images and videos.

Discussion of algorithms for the visualization of fractals.

Demonstration of fractal applications.

## Mode of examination

Immanent

ECTS breakdown (estimation, recommendation):

30 hrs. lecture

45 hrs. preparation and examination

-------------------------------------------------------

75 hrs. equals to 3 ECTS each of 25 hrs.

## Course dates

DayTimeDateLocationDescription
Thu17:00 - 19:0006.10.2022 - 26.01.2023Seminarraum FAV 05 (Seminarraum 186) Fraktale
Mon15:00 - 19:0023.01.2023Seminarraum FAV 05 (Seminarraum 186) Fraktale
Fractals - Single appointments
DayDateTimeLocationDescription
Thu06.10.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu13.10.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu20.10.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu27.10.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu03.11.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu10.11.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu17.11.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu24.11.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu01.12.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu15.12.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu22.12.202217:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu12.01.202317:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu19.01.202317:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Mon23.01.202315:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale
Thu26.01.202317:00 - 19:00Seminarraum FAV 05 (Seminarraum 186) Fraktale

## Examination modalities

There are the following 3 examination modalities:

1. Three short written tests during the lecture. These will take place at the beginning of each lecture unit and will last 15min. Those who miss one of these dates can make up for it by taking a short oral exam by appointment. Those who do not choose this examination mode can come to the lectures 15min. later on the examination days. Dates: 17.11., 15.12. and 26.01.23.

2. An oral examination on the entire lecture material will be taken. Dates are available by appointment at the beginning and end of each semester.

3. A presentation will be given in one of the last two lectures. The lecture must deal with a specific topic of fractal geometry and must complement or deepen one of the main topics of the lecture.

Not necessary

## Curricula

Study CodeSemesterPrecon.Info
066 932 Visual Computing
881 Computer Sciences

## Literature

Inst. f. Computergraphik Peitgen, Jürgens, Saupe (ed.): Chaos and Fractals, Springer-Verlag, 1992.

## Previous knowledge

Basic mathematical knowledge

German