Thesis supervisor: Gábor Domokos
Location of studies (in Hungarian): Budapest University of Technology and Economics Abbreviation of location of studies: BME
Description of the research topic:
This reserach focuses on geometric modelling: we attempt to analyze natural
and artificial patterns by using geometric models. Our main tool is the theory of
tilings [A3,A4,A6], in particular, the theory of convex mosaics [A4]. In recent
years, the MTA-BME Morphodynamics Research Group has expanded and
applied this theory to problems in geophysics [B1,B2,B3]. Our goal is to extend
existing theory, targeting specific features of the observed patterns. In
particular:
1. Our goal is toe expand the theory of space-filling tilings beyond the
existing combinatorial theory, to capture specific geometric feautures
(e.g. the number of sharp corners and vertices).
2. Our goal is to investigate the existence of special monohedral tilings where
the cells are monostatic or mono-monostatic bodies. As a first step we aim
to describe the geometry of such cells.
3. Our goal is the describe patterns emerging in architecture, including street
networks, facade patterns and also 3D patterns.
4. Our goal is to analyze surface patterns emerging in geomorphology and
planetology (including convection patterns and patterns generated by
crumbling).
5. Our goal is to analyze patterns emreging in chemistry and biology, with
special emphasis on molecular patterns.
Deadline for application: 2023-03-19
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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