Description:

Description of space and main methods of the projection - multiview projection as a basis for orientation in 3D CAD systems, axonometry, linear perspective. Surfaces in building practice - graphic law, geometric characteristic and image in appropriate projection, realization and application. Namely: Cylinders and Cones, Hyperboloid of Revolution, Helical Surfaces, Quadrics. Visualization of objects in 3D program SketchUp. Curves in building practice - types of mathematical description.

Contents:

1. Graphic communication in construction practice, part of geometry in building process
2. Conic sections, important solids and surfaces - definition, application, modelling in SW SketchUp
3. Multiview projection - attributes, procedures, applications
4. Helix - attributes, construction, tangent line, applications
5. Helical surfaces - classification, application, construction, modelling in SW SketchUp
6. Axonometric projection - attributes, procedures, applications
7. Shades and shadows in axonometric projection
8. Quadrics - classification, applications, sketching
9. Quadrics - modelling in SW SketchUp
10. Perspective - attributes, procedures, applications
11. Perspective - solids and arcs, nets
12. Frenet Trihedron - calculation, application
13. Curvature and osculating circle - calculation, application

Seminar contents:

1. Graphic communication in construction practice, part of geometry in building process
2. Conic sections, important solids and surfaces - definition, application, modelling in SW SketchUp
3. Multiview projection - attributes, procedures, applications
4. Helix - attributes, construction, tangent line, applications
5. Helical surfaces - classification, application, construction, modelling in SW SketchUp
6. Axonometric projection - attributes, procedures, applications
7. Shades and shadows in axonometric projection
8. Quadrics - classification, applications, sketching
9. Quadrics - modelling in SW SketchUp
10. Perspective - attributes, procedures, applications
11. Perspective - solids and arcs, nets
12. Frenet Trihedron - calculation, application
13. Curvature and osculating circle - calculation, application

Recommended literature:

Pottmann, H., Asperl, A., Hofer, M., Kilian, A.: Architectural Geometry, Bentley Institute Press, 2007, ISBN 978-1-934493-04-5
Linkeová I.: Constructive Geometry, Vydavatelství ČVUT, Praha, 2019, ISBN 978-80-01-05879-4
Vedlichová D.: Constructive Geometry, Nakladateľstvo STU v Bratislavě, 2012, ISBN 978-80-227-3645-9
Černý, J.: Geometry, Vydavatelství ČVUT, Praha, 1996, ISBN 80-01-01535-1
Grover, Ch.: Google SketchUp - The Missing Manual, O'Reilly Media, 2009, ISBN 978-0-596-52146-2
Study materials on web https://mat.fsv.cvut.cz/eng/bachelor/

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar