3 papers
math.MG2019
Locating diametral points
Jin-ichi Itoh, Costin Vîlcu, Liping Yuan +1
Let be a convex body in , with . We determine sharp sufficient conditions for a set composed of , , or points of , to contain a…
math.CO2017
A note on discrete lattice-periodic sets with an application to Archimedean tilings
Matthias Schymura, Liping Yuan
Cao & Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the plane by regular hexagons. Observing that every Archimedean tiling is the union of…
math.CO2012
Acute Triangulations of the Cuboctahedral Surface
Xiao Feng, Liping Yuan
In this paper we prove that the surface of the cuboctahedron can be triangulated into 8 non-obtuse triangles and 12 acute triangles. Furthermore, we show that both bounds are the b…