Recognizability of Tetrahedral Picture Languages
F. Sweety1, T. Kalyani2, R. Stella Maragatham3, D.Gnanaraj Thomas4
1F. Sweety, Department of Mathematics, St. Joseph’s College of Engineering, Chennai, Tamilnadu, India.
2T. Kalyani, Department of Mathematics, St. Joseph’s Institute of Technology, Chennai, Tamilnadu, , India.
3R. Stella Maragatham, Department of Mathematics, Queen Mary’s College, Chennai, Tamilnadu, India.
D.Gnanaraj Thomas, Department of Science and Humanities (Mathematics Division) Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, India.
Manuscript received on November 20, 2019. | Revised Manuscript received on November 28, 2019. | Manuscript published on 30 November, 2019. | PP: 7379-7383 | Volume-8 Issue-4, November 2019. | Retrieval Number: D5302118419/2019©BEIESP | DOI: 10.35940/ijrte.D5302.118419

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Abstract: In two dimensions, tiling the plane plays a vital role. Many picture generative models were attempted to tile the three dimensional space. A. Dharani et al. [6] introduced a new theoretical picture generative model to tile a three dimensional space using tetrahedral tile in two different ways namely Sequential Space Filling Grammar (SSFG) and Parallel Space Filling Grammar (PSFG). Local and recognizable tetrahedral picture languages are introduced in this paper and some of its properties are studied.
Keywords: Tetrahedral Tiles, Picture Languages, Local and Recognizable Tetrahedral Picture Languages.
Scope of the Article: Natural Language Processing.