Applying Delaunay Triangulation in Olympiad Problems
Dragomir Grozev, Nevena Sybeva
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences – Sofia (Bulgaria)
https://doi.org/10.53656/math2025-1-1-app
Abstract. Some fundamental properties of Delaunay triangulation are presented in this article. The construction of the triangulation described here has not been encountered by the authors in the known literature…
A Note on a Generalized Dynamical System Occurs in Modelling ‘The Battle of the Sexes’: Chaos in Sociobiology
Nikolay Kyurkchiev1,2), Anton Iliev1), Vesselin Kyurkchiev1),
Angel Golev1), Todorka Terzieva1), Asen Rahnev1)
1)University of Plovdiv „Paisii Hilendarski“ (Bulgaria)
2)Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences (Bulgaria)
https://doi.org/10.53656/math2025-1-2-ano
Abstract. In this paper, we propose a new system that occurs in modelling “the battle of the sexes” in evolutionary biology (Hofbauer & Sigmund 1988)…
Apollonian Sphere and Properties of Stereographic Projection around the Lemoine Point
Vladislav Natchev
American College of Sofia (Bulgaria)
https://doi.org/10.53656/math2025-1-3-apo
Abstract. The definition and some of the properties of the Apollonian circle in the plane find their analogies in the Euclidean three-dimensional space. Thus, we manage to introduce a new concept in solid geometry that we call an “Apollonian sphere”…
Educational Resources for Studying Midsegment of Triangle and Trapezoid
Toni Chehlarova 1), Neda Chehlarova 2), Georgi Gachev 1)
1)Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences (Bulgaria)
2)Institute of Robotics “St. Ap. and Gospeller Matthew”
Bulgarian Academy of Sciences (Bulgaria)
https://doi.org/10.53656/math2025-1-4-edu
Abstract. Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described…
Digital Competency Self-assessment of Computer Science Teachers in Bulgarian Secondary Schools
Ivaylo Staribratov, Muharem Mollov
University of Plovdiv Paisii Hilendarski – Plovdiv (Bulgaria)
https://doi.org/10.53656/math2025-1-5-dig
Abstract. This article presents a study on the self-assessment of digital competencies among computer science and IT teachers in Bulgarian secondary education…
Utilizing Geographical Information System for Mapping Schools Distribution. Case Study: the 4th Lower Secondary in Florina City, Greece
Ilias Solakis, Irena Atanasova
South-West University “Neofit Rilski” – Blagoevgrad, (Bulgaria)
https://doi.org/10.53656/math2025-1-6-uti
Abstract. The Geographic Information System (GIS) is still a special tool for mapping schools, comprehending urban planning, and allocating educational resources…
Addressing Data Literacy in Information Systems Education
Kalinka Kaloyanova1,2)
1)Faculty of Mathematics and Informatics Sofia University St. Kliment Ohridski (Bulgaria)
2)Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria)
https://doi.org/10.53656/math2025-1-7-add
Abstract. Data literacy is essential in our data-driven society…
