# 310-2116/02 – Analytic geometry with 3D print (AG3DT)

 Gurantor department Department of Mathematics and Descriptive Geometry Credits 4 Subject guarantor Mgr. František Červenka Subject version guarantor Mgr. František Červenka Study level undergraduate or graduate Requirement Compulsory Year 1 Semester summer Study language English Year of introduction 2019/2020 Year of cancellation Intended for the faculties FS Intended for study types Bachelor
Instruction secured by
CER0007 Mgr. František Červenka
Extent of instruction for forms of study
Form of studyWay of compl.Extent

### Subject aims expressed by acquired skills and competences

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.

Lectures
Tutorials
Project work

### Summary

The course focuses on the cultivation of logical thinking, develop spatial imagination, learn the basics of parametric modeling in space.

### Compulsory literature:

ČERNÝ, Jaroslav. Geometry. Praha: Vydavatelství ČVUT, 1996. ISBN 80-01-01535-1. Signatura: 256952

### Recommended literature:

STILLWELL, John. Geometry of surfaces. New York: Springer, c1992. ISBN 0-387-97743-0. Signatura: 247063

### Other requirements

There are no further requirements.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

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 - oblique passage, Marseille and Monpelliers arch. 12b) Special print materials. 13a) Transition areas. 13b) Tools for modifying STL networks. 14) Preparation of a semester project.

### Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Min. number of points
Written test Written test 50  25
Project Semestral project 50  25
Mandatory attendence parzicipation: 70%

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B0588A170002) Applied Sciences and Technologies MAT P English Ostrava 1 Compulsory study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies MAT P English Ostrava 1 Compulsory study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies MAT P English Ostrava 1 Compulsory study plan

### Occurrence in special blocks

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