Thesis (Selection of subject)Thesis (Selection of subject)(version: 354)
Assignment details
   Login via CAS
Dláždění simplexů simplexy
Thesis title in Czech: Dláždění simplexů simplexy
Thesis title in English: Tiling of simplices by simplices
Key words: k-reptile simplex, dláždění
English key words: k-reptile simplex, tiling
Academic year of topic announcement: 2022/2023
Type of assignment: Bachelor's thesis
Thesis language:
Department: Department of Applied Mathematics (32-KAM)
Supervisor: doc. Mgr. Jan Kynčl, Ph.D.
Úkolem bude zkoumat dláždění vícerozměrných simplexů svými zmenšenými kopiemi (tzv. reptiles), a zjišťovat, pro které počty dlaždic taková dláždění existují.

The student will investigate tilings of higher-dimensional simplices by their shrinked copies (so-called reptiles), and determine for which numbers of tiles such tilings exist.
J. Matoušek, Nonexistence of 2-reptile simplices, Discrete and Computational Geometry: Japanese Conference, JCDCG 2004, vol. 3742 of Lecture Notes in Comput. Sci., Springer, Berlin (2005) 151-160; erratum at
J. Matoušek and Z. Safernová, On the nonexistence of k-reptile tetrahedra, Discrete Comput. Geom. 46(3) (2011), 599-609.
J. Kynčl and Z. Patáková, On the nonexistence of k-reptile simplices in R^3 and R^4, The Electronic Journal of Combinatorics 24 (2017), Issue 3, P3.1, 44 pp.
Preliminary scope of work
Více informací na
Preliminary scope of work in English
See for more information.
Charles University | Information system of Charles University |