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Of a special interest are tilings in hyperbolic n–space . It is natural to extend the study of tiling problems to the hyperbolic plane as well as hyperbolic spaces of higher dimension. In this work we consider Karoly Böröczky tilings in hyperbolic space in arbitrary dimension, study some properties and some useful consequences of this Böröczky’s construction. In the given work it will be shown, that Böröczky tiling has one more remarkable property using them it is simple to make examples of not face-to-face tilings of the hyperbolic n–dimensional space composed of congruent (equal), convex and compact polyhedral tiles. Additionally, these tilings also cannot be transformed in isohedral tilings using polytopes permutation as well. The obtained tilings of n– dimensional hyperbolic space are important as well, due to the fact that the examples of isohedral tilings of hyperbolic n–dimensional space by compact polyhedral tiles are not yet constructed. The proposed construction could be considered as well as constructive demonstration related to the theorem of existence of not face-to-face tilings of hyperbolic n – dimensional space by equal, convex and compact polytopes.
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PROPERTIES OF BÖRÖCZKY S CONSTRUCTION
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LAP LAMBERT Academic Publishing, 2023
ISBN 10: 6206181413
ISBN 13: 9786206181415
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: BALCAN VLADIMIRAssociated Professor of Mathematics, Academy of Economic Studies of Moldova. Main field of research is discrete geometry, hyperbolic geometry, author of more 80 publications. His publications cover a topics including: . Bestandsnummer des Verkäufers 894333943
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PROPERTIES OF BÖRÖCZKY¿S CONSTRUCTION
Verlag:
LAP LAMBERT Academic Publishing Jun 2023, 2023
ISBN 10: 6206181413
ISBN 13: 9786206181415
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Taschenbuch. Zustand: Neu. Neuware -Of a special interest are tilings in hyperbolic n¿space . It is natural to extend the study of tiling problems to the hyperbolic plane as well as hyperbolic spaces of higher dimension. In this work we consider Karoly Böröczky tilings in hyperbolic space in arbitrary dimension, study some properties and some useful consequences of this Böröczky¿s construction. In the given work it will be shown, that Böröczky tiling has one more remarkable property using them it is simple to make examples of not face-to-face tilings of the hyperbolic n¿dimensional space composed of congruent (equal), convex and compact polyhedral tiles. Additionally, these tilings also cannot be transformed in isohedral tilings using polytopes permutation as well. The obtained tilings of n¿ dimensional hyperbolic space are important as well, due to the fact that the examples of isohedral tilings of hyperbolic n¿dimensional space by compact polyhedral tiles are not yet constructed. The proposed construction could be considered as well as constructive demonstration related to the theorem of existence of not face-to-face tilings of hyperbolic n ¿ dimensional space by equal, convex and compact polytopes.Books on Demand GmbH, Überseering 33, 22297 Hamburg 52 pp. Englisch. Bestandsnummer des Verkäufers 9786206181415
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PROPERTIES OF BÖRÖCZKY¿S CONSTRUCTION
Verlag:
LAP LAMBERT Academic Publishing Jun 2023, 2023
ISBN 10: 6206181413
ISBN 13: 9786206181415
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Of a special interest are tilings in hyperbolic n-space . It is natural to extend the study of tiling problems to the hyperbolic plane as well as hyperbolic spaces of higher dimension. In this work we consider Karoly Böröczky tilings in hyperbolic space in arbitrary dimension, study some properties and some useful consequences of this Böröczky's construction. In the given work it will be shown, that Böröczky tiling has one more remarkable property using them it is simple to make examples of not face-to-face tilings of the hyperbolic n-dimensional space composed of congruent (equal), convex and compact polyhedral tiles. Additionally, these tilings also cannot be transformed in isohedral tilings using polytopes permutation as well. The obtained tilings of n- dimensional hyperbolic space are important as well, due to the fact that the examples of isohedral tilings of hyperbolic n-dimensional space by compact polyhedral tiles are not yet constructed. The proposed construction could be considered as well as constructive demonstration related to the theorem of existence of not face-to-face tilings of hyperbolic n - dimensional space by equal, convex and compact polytopes. 52 pp. Englisch. Bestandsnummer des Verkäufers 9786206181415
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PROPERTIES OF BÖRÖCZKY¿S CONSTRUCTION : IN HIGH-DIMENSIONAL HYPERBOLIC SPACES
Verlag:
LAP LAMBERT Academic Publishing, 2023
ISBN 10: 6206181413
ISBN 13: 9786206181415
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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Of a special interest are tilings in hyperbolic n-space . It is natural to extend the study of tiling problems to the hyperbolic plane as well as hyperbolic spaces of higher dimension. In this work we consider Karoly Böröczky tilings in hyperbolic space in arbitrary dimension, study some properties and some useful consequences of this Böröczky's construction. In the given work it will be shown, that Böröczky tiling has one more remarkable property using them it is simple to make examples of not face-to-face tilings of the hyperbolic n-dimensional space composed of congruent (equal), convex and compact polyhedral tiles. Additionally, these tilings also cannot be transformed in isohedral tilings using polytopes permutation as well. The obtained tilings of n- dimensional hyperbolic space are important as well, due to the fact that the examples of isohedral tilings of hyperbolic n-dimensional space by compact polyhedral tiles are not yet constructed. The proposed construction could be considered as well as constructive demonstration related to the theorem of existence of not face-to-face tilings of hyperbolic n - dimensional space by equal, convex and compact polytopes. Bestandsnummer des Verkäufers 9786206181415
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