The Tiling of the Hyperbolic 4D Space by the 120-Cell Is Combinatoric

Show simple item record Margenstern, M en 2009-04-16T23:13:04Z en 2009-04-16T23:13:04Z en 2003-02 en
dc.identifier.citation CDMTCS Research Reports CDMTCS-211 (2003) en
dc.identifier.issn 1178-3540 en
dc.identifier.uri en
dc.description.abstract The splitting method, which was defined by the author in [9,10] is at the basis of the notion of combinatoric tilings. As a consequence of this notion, there is a recurrence sequence which allows us to compute the number of tiles which are at a fixed distance from a given tile. A polynomial is attached to the sequence as well as a language which can be used for implementing cellular automata on the tiling. We give here the polynomial and, as a first consequence, the language of the splitting is not regular, as it is the case in the tiling of hyperbolic 3D space by regular dodecahedra which is also combinatoric. en
dc.publisher Department of Computer Science, The University of Auckland, New Zealand en
dc.relation.ispartofseries CDMTCS Research Report Series en
dc.rights.uri en
dc.source.uri en
dc.title The Tiling of the Hyperbolic 4D Space by the 120-Cell Is Combinatoric en
dc.type Technical Report en
dc.subject.marsden Fields of Research::280000 Information, Computing and Communication Sciences en
dc.rights.holder The author(s) en
dc.rights.accessrights en

Files in this item

Find Full text

This item appears in the following Collection(s)

Show simple item record


Search ResearchSpace