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This year’s Institutional Scientific Students’ Associations Conference at the Budapest University of Technology and Economics was notably successful for the HUN-REN Research Group of Morphodynamics: four students of the group were among the winners of different prizes:
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A series of scientific informative lectures for interested high school students has been organized by the HUN-REN Morphodynamics Research Group.
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Soft cells and the geometry of seashells
Gábor Domokos, Alain Goriely, Ákos G. Horváth, Krisztina Regős.
Abstract: A central problem of geometry is the tiling of space with simple structures. The classical solutions, such as triangles, squares, and hexagons in the plane and cubes and other polyhedra in three-dimensional space are built with sharp corners and flat faces. However, many tilings in Nature are characterized by shapes with curved edges, nonflat faces, and few, if any, sharp corners. An important question is then to relate prototypical sharp tilings to softer natural shapes. Here, we solve this problem by introducing a new class of shapes, the soft cells, minimizing the number of sharp corners and filling space as soft tilings. We prove that an infinite class of polyhedral tilings can be smoothly deformed into soft tilings and we construct the soft versions of all Dirichlet–Voronoi cells associated with point lattices in two and three dimensions. Remarkably, these ideal soft shapes, born out of geometry, are found abundantly in nature, from cells to shells.
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Gergő Almádi, member of our research group (to the left) won the Gyula Strommer Scholarship in 2024. The Scholarship is offered each year by the Gyula Strommer International Foundation of Geometry for one student of the BME. Congratulations!
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János Török and Krisztina Regős, members of our research group, are ranked 31st and 92th among all lecturers of the Budapest Univeristy of Technology and Economics.
Congratulations!
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Gergő Almádi, student of the research group was awarded by József Nádor Prize on 12th March. The prize is traditionally given by the BME to students with outstanding candidature for the National Scholarship for Higher Education.
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An interview with two young members of the HUN-REN Morphodynamics Research Group is published at www.bme.hu. Krisztina Regős and Gergő Almádi talk about the motivation of their research and experiences in publication.
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At this year’s Institutional Scientific Students’ Associations Conference at the Budapest University of Technology and Economics, five presentations were related to Morphodynamics: Máté Szondi (1st Prize + Pro Progressio Special Prize), Gergő Almádi (1st Prize), Gergő Almádi and Eszter Ferencz (3rd Prize), Kinga Kocsis (Special award of the Department of Geometry and Morphology + Special award for presentation), Emese Sarolta Encz and Gergely Barta (Special award of the Department of Geometry and Morphology).
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Klaudia Nagy, member of the Morphodynamics Research Group, has been awarded as “Student of the Year” at the Faculty of Architecture of BME. Congratulations!
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Krisztina Regős, PhD student of the Morphodynamics Research Group was mentioned among the top 30 of most successful people under 30 in Hungary by Forbes.
Congratulations!
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Several presentations were held in the session for Mathematics, Physics and Geosciences of the 36th National Scientific Students’ Associations Conference in relation with the Morphodynamics Research Group. Gergő Almádi has been awarded by 3rd prize for his presentation entitled Inhomogén politópok mechanikai komplexitása – avagy van-e egy tetraédernek lelke?, under the supervision of Gábor Domokos and Krisztina Regős. Ágoston Szesztay (Iteratív módon csonkolt poliéderek statikai egyenúlyáról) and Máté Szondi (A kvantummechanikai állapottér egy felbontása által indukált geometria) got special prizes.
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An interview with Krisztina Regős, graduate student of the Faculty of Architecture of BME and her supervisor, Gábor Domokos has recently been published at forbes.hu.
The conversation reveals how Gömböc inspires young researchers, specifically how this discovery influenced Krisztina’s further research.
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The Morphodynamics Group had a session titled ‘Geometry’ in the 2021 TDK Conference. Five students participated in the session and received numerous awards. Congratulations!
Krisztina Regős (1st Prize + Rector’s Award), Anna Viczián (1st Prize), Ágoston Szesztay (3rd Prize + Csonka Pál Special Prize), Klaudia Nagy (Department’s Special Prize), Máté Szondi (Metszet Journal Special Prize).
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At this year’s Institutional Scientific Students’ Associations Conference at the Budapest University of Technology and Economics, 2 presentations were related to Morphodynamics: Ágoston Szesztay (1st Prize + Pro Progressio Special Prize), Klaudia Nagy (Csonka Pál Special Prize).
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Congratulations to Krisztina Regős, who won the audience favorite prize at Famelab 2020!
Article of the competiton by mta.hu
Article on bme.hu
photo: mta.hu / Tamás Szigeti
You can watch her talk here:
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Balancing polyhedra
G. Domokos, F. Kovács, Z. Lángi, K. Regős and P.T. Varga, Balancing polyhedra, Ars Math. Contemp., accepted, arXiv:1810.05382 [math.MG]
Abstract: We define the mechanical complexity C(P) of a convex polyhedron P, interpreted as a homogeneous solid, as the difference between the total number of its faces, edges and vertices and the number of its static equilibria, and the mechanical complexity C(S,U) of primary equilibrium classes (S,U)E with S stable and U unstable equilibria as the infimum of the mechanical complexity of all polyhedra in that class. We prove that the mechanical complexity of a class (S,U)E with S,U>1 is the minimum of 2(f+v−S−U) over all polyhedral pairs (f,v), where a pair of integers is called a polyhedral pair if there is a convex polyhedron with f faces and v vertices. In particular, we prove that the mechanical complexity of a class (S,U)E is zero if, and only if there exists a convex polyhedron with S faces and U vertices. We also give asymptotically sharp bounds for the mechanical complexity of the monostatic classes (1,U)E and (S,1)E, and offer a complexity-dependent prize for the complexity of the Gömböc-class (1,1)E.
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Article appeared in the High School Mathematics and Physics Journal (KOMAL) with the title: Equilibria of convex polyhedra (in Hungarian).
Authors: Gábor Domokos, Flórián Kovács, Zsolt Lángi, Krisztina Regős, Péter Tamás Varga
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Krisztina Regős is a finalist in the FameLab Hungary 2020. The national finals will be in the Fall of 2020.
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Congratulations for Krisztina Regős on winning one of the four Presentation Awards on the National Scientific Student’s Conference 2019 with her presentation titled ‘Morphological analysis of fractured rock surfaces‘.
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Results of the National Scientific Student’s Conference 2019:
Krisztina Regős Special prize
Péter Varga 2nd Prize
Congratulations to both of them!
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At this year’s Institutional Scientific Students’ Associations Conference at the Budapest University of Technology and Economics, 3 presentations were related to Morphodynamics: Krisztina Regős (1st Prize + Pro Progressio Special Prize), Dániel Csallóközi (2nd Prize + Csonka Pál Special Prize), Péter Tamás Varga (3rd Prize).
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At this year’s Student Research Conference 4 presentations were related to Morphodynamics: Adria Kerekes & Dávid Büki (1st Prize), Dániel Csallóközi (2nd Prize), Julia Hegymegi (3rd Prize), Menyhért Gergye (3rd Prize + Best presentation award).
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