CSGG 2022

Czech Society for Geometry and Graphics and Slovak Society for Geometry and Graphic welcome you to attend a co-organized scientific reunion
The 8th Czech – Slovak Conference on Geometry and Graphics
a joint event of annual conferences organized in the Czech Republic and in the Slovak Republic.

42nd Conference on Geometry and Graphics
31st Symposium on Computer Geometry SCG'2022

The conference is secured by the Department of Algebra and Geometry, Faculty of Science, Palacký University in Olomouc in collaboration with JČMF.

Semptember 12th – September 15th 2022

Faculty of Science, Palacký University, Olomouc, Czech Republic

Accommodation in Olomouc

The accommodation is NOT included in the conference fee!
The organizers have arranged the capacity in the Hotel Palác. If you want to book a room in the hotel, please e-mail the hotel reception and make a reservation. Do not forget to mention you are visiting the CSGG Conference.

Submission and publication

If you wish to have a contribution, it is necessary to prepare the name of the contribution and an abstract (the abstract booklet will be included in conference materials) before registering! Both have to be filled in the registration form. If you only wish to participate as a listener, leave those parts blank.

The deadline for the full submissions will be announced during the conference.

If you wish to add a contribution title and/or an abstract to the registration, please send them to us via e-mail (csgg22@upol.cz). Do not make registration again.
Thank you for your cooperation.

Conference trip

The conference trip will take place on Wednesday afternoon, September 13th. The conference fee includes the conference trip. The journey is to Čechy pod Kosířem, where we will visit the chateau and a museum. Organizers will provide more detailed information soon.

Conference fee and payment info

The conference fee includes conference materials, coffee breaks, a conference trip, a conference banquet, and proceedings.
The conference fee can be paid by direct bank transfer (recommended for participants from the Czech Republic) or on-site upon registration (recommended for the foreign participant).

Bank info:
Account number: 275388729/0300
Account Number in IBAN: CZ80 0300 0000 0002 7538 8729
VS: Will be received in the confirmation e-mail. (Detailed bank information can be found here.)

Czech participants should use a variable symbol, which they will receive in the e-mail with registration confirmation and payment info! This e-mail can take a few working days to be delivered; please be considerate.

The foreign participants have to include a “payment comment” with the participant’s name and institution to identify their payment! To avoid any complications, we recommend (and would prefer) foreign participants to pay the fee upon arrival. Thank you!

Important dates

Abstract submission deadline August, 21st 2022
Final version ----
Registration deadline August, 21st 2022

Conference fee*

Registration 160,- € / 4 000,- Kč
Registration on site** 4 000,- Kč

* Includes conference materials, coffee breaks, conference trip, conference banquet, and a proceedings.
** Kč only


Registration to the conference is now open untill August, 21st 2022. Please use the registration form

Workshop GeoGebra

Workshop information

Invited speakers

Michael Barton

Bilbao, Spain

Zoltan Kovacs

Linz, Austria

Ján Brajerčík

Prešovská univerzita
Prešov, Slovakia

Josef Mikeš

Univerzita Palackého v Olomouci
Olomouc, Czechia


Abstracts information

If you wish to add a contribution title and/or an abstract to the registration, please send them to us via e-mail (csgg22@upol.cz). Do not make registration again.
Thank you for your cooperation.

Ján Brajerčík

Prešovská univerzita v Prešove

Problems of Global Variational Geometry – abstract

The global variational geometry is a branch of mathematics, devoted to extremal problems on the frontiers of differential geometry, topology, global analysis, algebra, the calculus of variations, and mathematical physics. It generalizes classical calculus of variations, where underlying Euclidean spaces are replaced by smooth manifolds and fibered spaces, and Lagrange functions are replaced by Lagrange differential forms. The subject of global variational geometry is to study extremals of integral variational functionals for sections of fibered manifolds, corresponding differential equations, and objects invariant under transformations of underlying geometric structures. In the contribution, we introduce basic concepts concerning global variational geometry such as smooth manifold, fibered manifold, jet, Lagrangian, Euler-Lagrange equation. Examples of problems solved by methods of global variational geometry are discussed.

Josef Mikeš

Univerzita Palackého v Olomouci

The 190th anniversary of Janos Bolyai in Olomouc and non-Euclidean geometry – abstract

This year, we celebrate the 190th anniversary of János Bolyai's presence in Olomouc. He stayed in Olomouc for a short period (1832-1833) during his military service. His studies brought a complete concept of non-Euclidean and hyperbolic geometry (whose origin is also attributed to Lobachevski and Gauss) that had, and still have, an impact on mathematics in general and various physics processes. The generalization of his studies also leads to the development of the theory of relativity.

Daniela Velichová

Strojnícka fakulta, Slovenská technická univerzita v Bratislave

Pselical surfaces – abstract

Pselical surfaces form a specific group of surfaces that can be regarded as special group of two-axial surfaces of revolution, namely surfaces of Euler type. These surfaces can be generated by simultaneous revolution of a basic curve about two skew perpendicular axes in the space. Armiloid, one typical representative of this group of surfa, has been defined and presented by professor František Kadeřávek (1885–1961) in his paper Zovšeobecnění rotačních ploch printed in the scientific journal Věstník Královské české společnosti nauk (1939), třída matematicko-přírodovědná, no. 17, pp. 1-3. Armiloid can be generated by a composite movement of a basic curve (a circle or an ellipse), which is composed from two systems of central collinear transformations determined bycharacteristics, while their axes are in two skew and perpendicular lines in the projective space. Furthermore, determining elements of the two collineations are in a special relation. Centres of one system of these central collineations are located always on the axes of the other system of central collineations involved, while characteristics of the two systems are inverse real numbers. Surfaces generated by such generating principle form the group of pselical surfaces

Dana Kolářová, Stanislava Čečáková

Fakulta architektury, České vysoké učení technické v Praze

3D Modeling of Geometry Surfaces in Education of Future Architects – abstract

Příspěvek poukazuje na význam 3D modelování ve výuce deskriptivní geometrie oboru Architektrura a urbanismus. Změny v modelování ploch v průběhu století, od prvních modelů T. Oliviera (1793-1853) až po nejnovější technologie.

Bohuslava Bezstarostová, Marie Chodorová

Přírodovědecká fakulta, Univerzita Palackého v Olomouci

Tvorba nástrojů v GeoGebře při řešení střech – abstract

Cílem příspěvku je ukázat v GeoGebře tvorbu nástrojů, které mají efektivní využití při řešení střech nad zadaným půdorysem.

Hellmuth Stachel

Vienna University of Technology

Plücker's conoid and related quadrics – abstract

Plücker's conoid (cylindroid) C is a ruled surface of degree three with a finite double line. Using particular cylinder coordinates (r, φ, z), the conoid satisfies the equation z = c sin 2φ with constant c. Two properties of the cylindroid play a major role in the geometric literature:
1) The bisector of two skew lines l₁, l₂ in the Euclidean 3-space is an orthogonal hyperbolic paraboloid P. All generators of P are axes of hyperboloids of revolution H which pass through l₁ and l₂ . Conversely, the locus of pairs of skew lines l₁, l₂ for which a given orthogonal hyperbolic paraboloid P is the bisector, is a Plücker conoid C.
2) In spatial kinematics, Plücker's conoid C is well-known as the locus of axes l₂₁ of the relative screw motion for two wheels Σ₁ , Σ₂ which rotate about fixed skew axes l₁ and l₂ with constant. The axodes of the relative screw motion are hyperboloids of revolution H with mutual contact along l₂₁. The common surface normals along l₂₁ form an orthogonal hyperbolic paraboloid P which passes through the axes l₁ and l₂. We discuss these two main properties. Though both deal with the same three families of surfaces, there seem to be no direct bridges between them.

Emil Molnár

Budapest University of Technology and Economics

Non-Euclidean Crystal Geometry To Honour of János BOLYAI on 220 Anniversary of His Birth – abstract

The new discovery, hyperbolic geometry H3 of János BOLYAI and Nikolay Ivanovich LOBACHEVSKY open also new directions in material sciences. Besides of 3-spaces of constant curvature: E3, S3, H3, other five homogeneous 3-spaces: S2×R, H2×R, Nil, ~SL2R, Sol (so-called Thurston geometries) come into considerations. In analogies of classical crystallography, ball-packing modells deserve investigations and yield interesting new results for comparing with the real crystals, extremal arrangements, and open problems.
joint work with my colleague Jenő Szirmai

Alice Králová

Lesnická a dřevařská fakulta, Mendelova univerzita v Brně

Parametrizace parabolického konoidu a jeho zobrazení v programech GeoGebra a Maple – abstract

Na příkladu parabolického konoidu jako jedné z ploch technické praxe je ukázán postup, jak lze odvodit jeho parametrické rovnice, díky čemuž je možné vytvořit jeho prostorový model v programech GeoGebra a Maple.

Gunter Weiss

TU Dresden & TU Vienna

Symmetry – a natural phenomenon causing homo sapiens to become a homo mathematicus – abstract

The term “symmetry” usually translates this Greek composed word as “equal measure” and interprets it as “Euclidean isometry”. Such a restrictive interpretation is much too narrow, and even it covers a wide field in Geometry and Mathematics it pays to have a broader view on it. Mathematically restricted it mainly deals with the infinite Euclidean plane or n-space and the symmetry groups of infinite or finite objects in such a space. It is global and absolute. In contrast to this, the detection of what is subsumed as “symmetry” acts locally on different abstraction levels of our natural (and artificial) environment. It means to discover a certain law and structure from a sample of objects in space and time. From a few footprints of an animal trail it is not far to imagine an infinite frieze and apply this insight to ornaments. The detection of structures and similarities requires abstraction abilities. Finally, these abstraction abilities can also be applied to men-created abstractions, as e.g. Geometry and Mathematics, but also other fields of science and art. From finding the same abstract structure within different realisations it sems natural to ask for all objects with that structure and to modify that structure to gain a bigger family of related objects. In other words, we deal with and handle “classification-problems”. The lecture will deal with some explicit examples to above mentioned topics, focussing on Geometry and esthetical aspects of different symmetry-levels.

Jan Vršek

Západočeská Univerzita v Plzni

Pythagorean-hodograph projections of spatial polynomial curves – abstract

Pythagorean-hodograph (PH) curves form a class of curves with special properties, which are widely used in applied geometry. In our talk, we will investigate the existence of projection of spatial polynomial curve onto a PH curve. To achieve this, we will build a vocabulary enabling to translate questions about polynomial PH curves into geometric questions about rational projective curves. The method will be applied afterwards to counting orthogonal an oblique PH projections of spatial cubics and quintics respectively.

Miroslav Lávička

University of West Bohemia

Exact and approximate symmetries of discrete curves – abstract

We present a new direct method for determining exact symmetries of planar discrete curves. The basic strategy is to decompose a given curve into a family of suitable components (simpler discrete curves) whose symmetries can be found more easily. We determine all rotational and reflectional symmetries if they exist. We then modify the formulated approach for perturbed discrete curves for which approximate symmetries are to be computed. We illustrate the functionality of the proposed algorithm with several examples.

Jan Šafařík

Fakulta stavební, VUT v Brně

to be announced – abstract

Margita Vajsáblová

Faculty of Civil Engineering, Slovak University of Technology in Bratislava

to be announced – abstract

Juliana Beganova

SvF STU Bratislava

to be announced – abstract

Tatiana Rückschlossová

Katedra matematiky a Deskriptívnej geometrie, SvF STU, Bratislava

to be announced – abstract

Michal Bizzarri


to be announced – abstract

Zuzana Tereňová

SvF STU Bratislava

to be announced – abstract

Ivana Linkeová

Fakulta strojní, ČVUT v Praze

to be announced – abstract

Jaroslav Cibulka

Fakulta strojní, ČVUT v Praze

to be announced – abstract

Jakub Müller

Fakulta strojní, ČVUT v Praze

to be announced – abstract

Marta Hlavová

Fakulta strojní, ČVUT v Praze

to be announced – abstract

Pavel Pech

University of South Bohemia

to be announced – abstract

Roman Hašek

University of South Bohemia

to be announced – abstract

Ilja Velich

Slovenská spoločnosť pre geometriu a grafiku

Bulantová Jana

Fakulta stavební, VUT v Brně

Zrůstová Lucie

Fakulta stavební, VUT v Brně

Anne Weiss-Torjussen

Dagmar Szarková

SSGG - Slovenská spoločnosť pre Geometriu a Grafiku, Bratislava

Scientific comittee

Roman Hašek

Jihočeská univerzita
České Budějovice, Czech Republic

Pavel Chalmovianský

Univerzita Komenského
Bratislava, Slovakia

Mária Kmeťová

Univerzita Konštantína Filozofa
Nitra, Slovakia

Miroslav Lávička

Západočeská univerzita
České Budějovice, Czech Republic

Pavel Pech

Jihočeská univerzita
České Budějovice, Czech Republic

Hellmuth Stachel

Technishe Universität
Wien, Austria

Zbyněk Šír

Univerzita Karlova
Praha, Czech Republic

Daniela Velichová

Slovenská technická univerzita v Bratislave
Bratislava, Slovakia

Gunter Weiss

Technishe Universität
Wien, Austria

Organizing committee

Radomír Halaš

Marie Chodorová

Jiří J. Kratochvíl

Patrik Peška

Lukáš Rachůnek

Lenka Rýparová


17. listopadu 12, 779 00 Olomouc, CZ

Phone: +420 731 220 391