Presentation is loading. Please wait.

Presentation is loading. Please wait.

1 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Geometric Courses for Architectural and Teacher Students at the TU Graz O. Röschel Zagreb, February.

Published byIlene Joseph Modified over 9 years ago

Similar presentations

Presentation on theme: "1 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Geometric Courses for Architectural and Teacher Students at the TU Graz O. Röschel Zagreb, February."— Presentation transcript:

1 1 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Geometric Courses for Architectural and Teacher Students at the TU Graz O. Röschel Zagreb, February 2007

2 2 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Contents: Geometric courses under new technologies (integration of CAD) I. Courses for Architects in the 1st and 2nd semester II. Courses for Teachers and the Architects in the 2nd year Examples of Geometric Topics (including CAD) III. Conclusions Introduction of: Mathematica, Maple and CAD-packages Here: Restriction to the combination of the geometric education with the use of professional CAD-packages! → Look for geometric problems which can be worked out now! Geometric Courses for Architectural and Teacher Students at the TU Graz

3 3 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Introduction of: Mathematica, Maple and CAD-packages Here: Restriction to the combination of the geometric education with the use of professional CAD-packages! In order to enhance the spatial abilities of students: Direct work in a virtual 3D-space (3D Model space) → Look for geometric problems which can be worked out now! Geometric Courses for Architectural and Teacher Students at the TU Graz

4 4 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 I. Courses for Architects in the 1st and 2nd sem. „Methods of representation“: 2 lectures in 1st sem. 2 exercises in 1st sem. 2 exercises in 2nd sem. Joint courses of the institute of geometry and the institute of media in architecture The aim: Balance between descriptive methods and the use of a CAD-package (AutoCAD) Geometric Courses for Architectural and Teacher Students at the TU Graz

5 5 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 „Methods of representation“: (A. Wiltsche, Varaždinske Toplice, 2005) Winter term: Exercises - 5 homeworks: 3 drawings by hand: a)Axonometry b)Perspective c)Reconstruction I. Courses for Architectural Students

6 6 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 2 AutoCAD-works: a)Technical drawing (architectural plan) b)Solid modelling of a real world‘s object Summer term: 6 Homeworks: Pixel graphics, Rhino3D for surface modelling, animation Examination at the end of the lecture: Divided into a drawing and an AutoCAD part. Details…. I. Courses for Architectural Students

7 7 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 II. Courses for Teachers and Architects (beginning in the 2nd year) The aim: Training the experienced use of a professional CAD-package combined with geometric contents Examples: „Professional CAD-packages“: 2 proseminary „3D-constructing with AutoCAD“: 2 hours Training of teacher students of „Geometry“ (in combination with „Mathematics“) Geometric Courses for Architectural and Teacher Students at the TU Graz

8 8 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A.Professional CAD-packages MicroStation (or AutoCAD) – proseminary (2 hrs/week) Combination of teaching and solving of given problems 5 Units: Unit 1: (3 weeks) Handling with MicroStation‘s plane features Unit 2: (3 weeks) 3D-features and solid modelling with volumes Unit 3: (3 weeks) References and hierarchical block-structures Unit 4: (3 weeks) Modelling of surface models Unit 5: (3 weeks) Animations and exchange with other packages (AutoCAD, VRML, …) Geometric Courses for Teacher Students and Architects

9 9 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 1: Handling with MicroStation‘s plane features Homework 1: 1a. Follow the examples of the lecture and determine a planar band ornament with at least 5-fold rotational symmetry, which contains parts of straight lines and circles. Submit the DGN-Files with the name „Name_arb1a.dwg“ to roeschel@tugraz.at – Subject: „Prof_CAD_Pakete_1“. roeschel@tugraz.at Deadline: 2.11.2006 A student‘s result: Professional CAD-packages (for teacher students)

10 10 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 2: (3 weeks) 3D- features and solid modelling with volumes Homework 1 (cont.): 1b. Follow the examples of the lecture and determine a volume version of the band ornament from 1a. It shall consist of at least 10 congrent pieces, which stick together without self- intersections. Professional CAD-packages (for teacher students)

11 11 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 1b: A Student‘s work Professional CAD-packages (for teacher students)

12 12 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 2(cont.): 3D-solid modelling with volumes and 2D-output (references) Homework 2: Determine a DGN – File with the following contents: 1) The file shall contain 6 solid models (cube1 to cube6 as modified copies of the default model) with TSCHUPIK-cubes. 2) Use references to generate a layout with axonometric images. Professional CAD-packages (for teacher students)

13 13 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 2: A Student‘s work (Exercise for spatial abilities) Professional CAD-packages (for teacher students)

14 14 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 3: References of spatial objects and star polyhedra Homework 3: Use an hierarchical block structure to implement the action the iscosahedral group. Start with a regular pentagondodecahedron and determine different star polyhedra: The small and the great stellated dodecahedron. Additional: Are you able to generate the other stars of this type, too? Professional CAD-packages (for teacher students)

15 15 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 3: A Student‘s work Professional CAD-packages (for teacher students)

16 16 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 4: Modelling of surface models Homework 4 – spherical pavements: Determine a spherical pavement of the octahedral group, which uses a suitable basic spherical patch. Exercises: Planar pavements and spherical pavements fitting to the tetrahedral group. Professional CAD-packages (for teacher students)

17 17 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 4: A Student‘s work Here with gaps: Professional CAD-packages (for teacher students)

18 18 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 5: Export and Animation Exercise: Generate an animation which simulates the generation of a cube (a dodecahedron) from ist net. The cube: Professional CAD-packages (for teacher students)

19 19 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 5: Export and Animation Homework 5: Generate an animation which simulates the „growth“ of regular pentagondodecahedron to a rhombi- triakontahedron (and to the deltoid-hexakontahedron, resp.). Export the animation into a VRML-File. Example: From the cube to the rhombic dodecahedron to the deltoid-iksositetrahedron. Professional CAD-packages (for teacher students)

20 20 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 5: A Student‘s work Professional CAD-packages (for teacher students) Dodecahedron → Deltoid-Hexakontahedron

21 21 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 B. 3D-constructing with AutoCAD (for all students) AutoCAD –seminary (2 hrs/week) Combination of teaching and solving of given problems 5 Units: Unit 1: (2 weeks) Handling with AutoCAD‘s plane features Unit 2: (3 weeks) 3D-features and regions Unit 3: (3 weeks) 3D-modelling Unit 4: (3 weeks) Fractals using AutoLISP Unit 5: (4 weeks) Constructions using the AutoCAD Calculator Geometric Courses for Teacher Students

22 22 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 1: (2 weeks) Handling with AutoCAD‘s plane features Similar to the topics in „professional CAD-packages“ Homework 1: A band ornament with at least 5-fold rotational symmetry. 3D-constructing with AutoCAD

23 23 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 2: (3 weeks) 3D-features and Regions Topics: 3D-constructions, UCS, … Homework 2: Determine a region model of a regular pentagon-dodecahedron. A student‘s work: 3D-constructing with AutoCAD

24 24 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Topics: Blocks … Implement the action of a poyhedral group → „Band-ornaments“ 3D-constructing with AutoCAD

25 25 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 „Band-ornaments“ 3D-constructing with AutoCAD

26 26 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 3: (3 weeks) 3D-modelling Topics: Solids and BOOLEAN Operations Homework 3: Determine a volume-model of a roman or gothic arch (only the frame). 3D-constructing with AutoCAD

27 27 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 3: A Student‘s work (some screenshots from the documentation) Documentation: 3D-constructing with AutoCAD

28 28 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 4: (3 weeks) Fractals and AutoLISP – iterative geometric transformations in space Exercises: Snowflake – iterative steps: 3D-constructing with AutoCAD

29 29 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 3D-constructing with AutoCAD Dragon Spatial fractals: Homework 4: Determine a volume-model of spatial fractal.

30 30 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 4: A Student‘s work 3D-constructing with AutoCAD

31 31 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Unit 5: (3 weeks) Constructions in space using the AutoCAD calculator Exercises: „Ropes and roles“ → Homework 5 3D-constructing with AutoCAD

32 32 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Homework 5: A Student‘s work 3D-constructing with AutoCAD

33 33 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Conclusion Courses for Architects Courses for Teachers and Architects Examples of Geometric Topics (with CAD) Allways: Combine the geometric education with the use of professional CAD-packages! The introduction of CAD-packages in descriptive geometry offers a big chance! This will allow to put geometric 3D abilities on a new level! Geometric Courses for Architectural and Teacher Students at the TU Graz

34 34 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

35 35 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

36 36 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

37 37 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

38 38 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

39 39 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

40 40 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

41 41 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

42 42 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

43 43 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 A Slide Show of the Geometric Exercises Geometric Courses for Architectural and Teacher Students at the TU Graz

44 44 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Thank you for your attention! Geometric Courses for Architectural and Teacher Students at the TU Graz

45 45 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Details: Winter term: Ex 1 Ex2Ex3 Ex4 Ex5Ex6 Ex7 Ex8 Ex9 Ex10 Ex11 Ex12 Ex13 I. Courses for Architectural Students

46 46 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Details: Sommer term: Assignments 1 - 6 I. Courses for Architectural Students

Download ppt "1 Otto Röschel Institute of Geometry Zagreb, 24.2.2007 Geometric Courses for Architectural and Teacher Students at the TU Graz O. Röschel Zagreb, February."

Similar presentations

Halomda Educational Software ( Established 1988) Mathematics and Science for Primary, Intermediate and High schools Computer Aided and e-Learning Math-XPress.

Halomda Educational Software ( Established 1988) Mathematics and Science for Primary, Intermediate and High schools Computer Aided and e-Learning Math-XPress.
1.1 Designed and Presented by Dr. Ayman Elshenawy Elsefy Dept. of Systems & Computer Eng.. Al-Azhar University

1.1 Designed and Presented by Dr. Ayman Elshenawy Elsefy Dept. of Systems & Computer Eng.. Al-Azhar University
Table of Contents Assignment for portfolio Assignment for portfolio Assignment for portfolio Assignment for portfolio 1 st Semester 1 st Semester 1 st.

Table of Contents Assignment for portfolio Assignment for portfolio Assignment for portfolio Assignment for portfolio 1 st Semester 1 st Semester 1 st.
ME 142 Engineering Drawing and Graphics. Instructor Details Col ( R ) Mumtaz Yousafi MSC ( Machine design ) NUST Rawalpindi B.E. ( Mechanical Engineering)

ME 142 Engineering Drawing and Graphics. Instructor Details Col ( R ) Mumtaz Yousafi MSC ( Machine design ) NUST Rawalpindi B.E. ( Mechanical Engineering)
what is VA? advantages tools a b c what is VA? advantages tools fully integrated architectural plug-in for Rhino 4 powerful feature-based editor to create.

what is VA? advantages tools a b c what is VA? advantages tools fully integrated architectural plug-in for Rhino 4 powerful feature-based editor to create.
How Are New Turkish Textbooks Presenting Geometric Concepts? An Analysis of the Turkish New Elementary Mathematics Curriculum and Textbooks in Terms of.

How Are New Turkish Textbooks Presenting Geometric Concepts? An Analysis of the Turkish New Elementary Mathematics Curriculum and Textbooks in Terms of.
COMPUTER GRAPHIC IN TRAINING STUDENTS WHOSE MAJOR IS SOFTWARE Yevgeny Bashkov, Donetsk National Technical University, Vitaly.

COMPUTER GRAPHIC IN TRAINING STUDENTS WHOSE MAJOR IS SOFTWARE Yevgeny Bashkov, Donetsk National Technical University, Vitaly.
1 of 25 Assignment Orthographic Wireframe Elevation Orthographic Wireframe Plan Orthographic Wireframe End-Elevation Perspective View.

1 of 25 Assignment Orthographic Wireframe Elevation Orthographic Wireframe Plan Orthographic Wireframe End-Elevation Perspective View.
1 Computer Graphics Chapter 7 3D Object Modeling.

1 Computer Graphics Chapter 7 3D Object Modeling.
CS447/547 10- 1 Realistic Rendering -- Solids Modeling -- Introduction to 2D and 3D Computer Graphics.

CS447/ Realistic Rendering -- Solids Modeling -- Introduction to 2D and 3D Computer Graphics.
Programme of studies Course: Basic of Constructing Spatiality: Teacher on Machinery Educational Level: “Bachelor” Higher School of Transport 2007.

Programme of studies Course: Basic of Constructing Spatiality: Teacher on Machinery Educational Level: “Bachelor” Higher School of Transport 2007.
Course Website: Computer Graphics 11: 3D Object Representations – Octrees & Fractals.

Course Website: Computer Graphics 11: 3D Object Representations – Octrees & Fractals.
BORIS MILAŠINOVIĆ FACULTY OF ELECTRICAL ENGINEERING AND COMPUTING UNIVERSITY OF ZAGREB, CROATIA Experiences after three years of teaching “Development.

BORIS MILAŠINOVIĆ FACULTY OF ELECTRICAL ENGINEERING AND COMPUTING UNIVERSITY OF ZAGREB, CROATIA Experiences after three years of teaching “Development.
E-learning in preparation of mathematics teachers and in mathematics teaching Working meeting to project EuroMath Innsbruck, 2004.

E-learning in preparation of mathematics teachers and in mathematics teaching Working meeting to project EuroMath Innsbruck, 2004.
The BIM Concept Drawings, building views, visualizations, calculations and quantity take-offs are automatically derived from the 3D model. BIM= Building.

The BIM Concept Drawings, building views, visualizations, calculations and quantity take-offs are automatically derived from the 3D model. BIM= Building.
IE433 CAD/CAM Computer Aided Design and Computer Aided Manufacturing Part-4 Computer Graphics- CAD Software Industrial Engineering Program King Saud University.

IE433 CAD/CAM Computer Aided Design and Computer Aided Manufacturing Part-4 Computer Graphics- CAD Software Industrial Engineering Program King Saud University.
University of Jyväskylä – Department of Mathematical Information Technology Computer Science Teacher Education ICNEE 2004 Topic Case Driven Approach for.

University of Jyväskylä – Department of Mathematical Information Technology Computer Science Teacher Education ICNEE 2004 Topic Case Driven Approach for.
By: Mahmood Sedaghatian  Anticipatory Set  Transformation Geometry  Project Description  Timeline  Resources  Grading  Technology Used  Learning.

By: Mahmood Sedaghatian  Anticipatory Set  Transformation Geometry  Project Description  Timeline  Resources  Grading  Technology Used  Learning.
1 OO Java, Baile Herculane, Romania, 2005 OO Java Requirements Specification - Produce highly adaptable teaching materials - 1 st step: collect all useful.

1 OO Java, Baile Herculane, Romania, 2005 OO Java Requirements Specification - Produce highly adaptable teaching materials - 1 st step: collect all useful.
MS. WILLIAMS Anatomy of a 3D Model. 3D Model 3D Models are one of the essential building blocks of 3D computer graphics. Without them there would be no.

MS. WILLIAMS Anatomy of a 3D Model. 3D Model 3D Models are one of the essential building blocks of 3D computer graphics. Without them there would be no.

Similar presentations

Ads by Google