Paper Info
Title
Tiling the Space by Polycube Analogues of Fedorov's Polyhedra.
Abstract
We investigate minimal polycubes in terms of volume that tile the R-3 space like the Fedorov's polyhedra. In fact the 5 Fedorov's polyhedra are convex polyhedra that tile the space by translation and we construct geometrical discrete objects formed by union of cubes with the same number of faces than the Fedorov's polyhedra.
Year
DOI
Venue
2016
10.3233/FI-2016-1381
FUNDAMENTA INFORMATICAE
Keywords
Field
DocType
Tilings of R-3,polycubes,tilings by translation,Fedorov's polyhedra,lattice periodic tilings
Discrete mathematics,Combinatorics,Polycube,Polyhedron,Mathematics
Journal
Volume
Issue
ISSN
146
2
0169-2968
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Ian Gambini1102.47
Laurent Vuillon218626.63