4 papers
Solution of ErdÅs Problem 633
Michael Beeson, Miklos Laczkovich, Yan X. Zhang
We classify triangles that can be tiled only into a square number of congruent triangles, settling ErdÅs Problem 633.
Tiling Triangles with Angles
Yan X Zhang
Motivated by a question of Erdös and inquiries by Beeson and Laczkovich, we explore the possible for which a triangle can tile into congruent copies of a triangle .…
Rationality of certain triangle tilings
Michael Beeson, Yan X Zhang
We consider tilings of a triangle by congruent copies of a triangle that has one angle equal to , has non-commensurable angles (that is, not all angles are rationa…
Pure Simplicial and Clique Complexes with a Fixed Number of Facets
Kassahun H Betre, Yan X Zhang, Carter Edmond
We study structural and enumerative aspects of pure simplicial complexes and clique complexes. We prove a necessary and sufficient condition for any simplicial complex to be a cliq…