Conference Programme

Monday, 9. 9. 2019

 

1200- 1700

Arrival and registration

 

1700- 1830

Presentation section 1

 

1650

Conference opening

 

1700 – 1750

Invited lecture:
Andrej Ferko (Slovakia), Ivana Kolingerová (Czech Republic):
On specializing triangulations

Triangulation of the given point set in the plane is frequently solved for diverse applications. Many criteria have been developed to provide specialized meshes, namely weight and angular criteria. We study how to compute a triangulation which satisfies more than one criterion or which contains parts according to several various criteria. We discuss selected results and applications of multiple single-criteria triangulations and we demonstrate how to solve any multi-criteria problem by genetic optimization.

 

1750 – 1810

Jana Vrábliková: Discrete connections on triangular meshes

 

1810 – 1830

 

1830

Dinner

1900

Get-together party

Tuesday, 10. 9. 2019

800

Breakfast

900- 1200

Presentation section 2

900- 950

Invited lecture:
Jan Vršek (Czech Republic): Computing projective equivalences of algebraic varieties

The talk is devoted to the investigation of the computation of projective (and other) equivalences of algebraic varieties. In particular, we will focus on the cases when the problem can be reduced to the detection of equivalences between finite sets on the projective line. The functionality of the designed method is presented for computing projective equivalences of rational curves, on determining projective equivalences of rational ruled surfaces, on the detection of affine transformations between planar curves, and on computing similarities between two implicitly given algebraic surfaces. When possible, symmetries of given shapes are also discussed as special cases.

1000- 1030

Coffee break

1030- 1050

Miroslav Lávička: Approximate reconstructions of rational cubics with inexact input

1050- 1110

Zbyněk Šír: Rational curves of given direction

 

1110- 1130

Alexej Kolcun: Right-Triangulated Irregular Network Meshes

1130- 1150

Adéla Kostelecká: Konstrukce G^1 spojitých ploch

 

1200- 1400

Lunch

 

1400- 1830

Presentation section 3

 

1400- 1420

Pavel Chalmovianský: Some Examples of Intersection Computed Using Schubert Calculus

 

1420- 1440

Alžbeta Mackovová: Voronoi Diagram in Hyperbolic Geometry

 

1440- 1500

Marcel Makovník: Refinement of Unorganized Point Sets via Quadric Fitting

 

1500- 1520

Michal Zamboj: 1-2-3-Spheres in the 4-Space

 

1520- 1540

Pavel Pech: Problems with factorization of some locus equations

 

1540- 1600

Petra Surynková: Removing Duplications from the List of Quadrilateral Meshes

 

1600- 1630

Coffee break

 

1630- 1650

Margita Vajsáblová,  Andrea Ábrahámová: Kinetic curves in cartographic projections

 

1650- 1710

Dana Kolářová: Tensegrity - studentské modely od základních geometrických struktur po mosty

 

1710- 1730

Miroslav Krejčíř: Kompoziční geometrie gotiky

 

1730- 1750

Kristýna Mencáková: Grafické znázornění řešení soustav lineárních diskrétních rovnic

 

1750- 1810

Mária Kmeťová: Discovering Plane Curves by GeoGebra

 

1810- 1830

Jiří Blažek: On One Remarkable Curve

 

1830

Dinner

1930

Meetings of societies SSGG, ČSGG

Wednesday, 11. 9. 2019

800

Breakfast

 

900- 1200

Presentation section 4

 

900- 950

Invited lecture:
Zlatan Magajna (Slovenia): Automated observation of dynamic geometric constructions in school geometry

It is very hard to predict the role of new technologies once they are introduced in school mathematics. Dynamic geometry systems are by no means an example of successful implementation of a new technology, for today they are widely used in schools all over the world. In last decade new types of software with potentials in school geometry came to light, in particular programs for automated proving and, less known, programs for automated observation. While dynamic geometry software is aimed at conceptual understanding and exploration in geometry, the other two types of programs are focused on proving and argumentation in geometry. We shall present the very basic principles of automatic proving in geometry and, in greater detail, OK Geometry, a software for automated observation of dynamic constructions. OK Geometry generates plausible hypotheses, but does not prove them. The research on the use of these programs in school setting (at any school level) is very limited as is their use in schools. These programs, in particular those for automated proving of geometry statements, introduce new paradigms in proving, thus it is hard to predict their trajectory in school mathematics. However, they raise important questions and dilemmas on concepts related to proofs and proving, ways of working out proofs, ways of presenting proofs.

 

1000- 1030

Coffee break

 

1030- 1050

Hellmuth Stachel: Movement of Conics on Quadrics

 

1050- 1110

Gunter Weiss: Similar faced and Equifaced Polyhedrons

 

1110- 1130

Emil Molnár: E5 → E2 Animation of Regular and Other Nice Solids with Visibility

 

1130- 1150

Monika Sroka-Bizoń: DIAD-Tools Project - Presentation of Didactic Materials to Support the Teaching of Construction Drawing

 

1200- 1300

Lunch

 

1300- 1830

Excursion

 

1900

Conference dinner

Thursday, 12. 9. 2019

800

Breakfast

 

900- 1300

Presentation section 4 – GEOGEBRA WORKSHOP

 

900- 920

Daniela Velichová: Výukové videá - produkty projektu DIAD-Tools vytvorené s podporou softvéru GeoGebra

 

920- 940

Jana Bulantová: Topografické plochy v GeoGebra

 

940- 1000

Šárka Voráčová: Slovník těles v GeoGebře

 

1000- 1020

Šárka Gergelitsová: Dělení příček a drobnosti v planimetrických konstrukcích

 

1030- 1100

Coffee break

 

1100- 1120

Martin Billich: Geometrická interpretácia riešenia rovníc a ich sústav v prostredí programu GeoGebra

 

1120- 1140

Renáta Vágová: GeoGebra - prepojenie digitálneho a materiálneho sveta

 

1140- 1200

Martina Bátorová: Logické prvky v didaktickej výstavbe a praxi

 

1200- 1220

Roman Hašek: Řešení historických geometrických úloh pomocí počítače

 

1220- 1240

Daniela Bímová: Studijní materiály v GeoGebře pro výuku pravoúhlé axonometrie

 

1240- 1255

Workshop discussions and closure

 

1300- 1400

Lunch

 

1400

Departure