An Application of Iterative Pushdown Automata to Contour Words of Balls and Truncated Balls in Hyperbolic Tessellations. (29th March 2012)

• Record Type: Journal Article
• Authors: Margenstern, Maurice
• Other Names: Kelarev A. V. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2012(2012)
• Publication Date: 2012-03-29
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.5402/2012/742310
• Languages: English
• ISSNs: 2090-6285

Abstract

Abstract : We give an application of iterated pushdown automata to contour words of balls and two other domains in infinitely many tilings of the hyperbolic plane. We also give a similar application for the tiling { 5, 3, 4 } of the hyperbolic 3D space and for the tiling { 5, 3, 3, 4 } of the hyperbolic 4D space as well.