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PROPRIEDADES DA CONSTRUÇÃO DE BÖRÖCZKY

PROPRIEDADES DA CONSTRUÇÃO DE BÖRÖCZKY

VLADIMIR BALCAN

38,05 €
IVA incluido
Disponible
Editorial:
KS OmniScriptum Publishing
Año de edición:
2023
Materia
Geometría
ISBN:
9786206243762
38,05 €
IVA incluido
Disponible

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De interesse especial são as ladrilhos no espaço n hiperbólico. É natural estender o estudo dos problemas de ladrilhos ao plano hiperbólico, bem como aos espaços hiperbólicos de dimensão superior. Neste trabalho consideramos ladrilhos de Karoly Böröczky no espaço hiperbólico em dimensão arbitrária, estudamos algumas propriedades e algumas consequências úteis desta construção de Böröczky. No trabalho apresentado, será mostrado que o ladrilho de Böröczky tem mais uma propriedade notável usando-o é simples fazer exemplos de ladrilhos não face a face do espaço n-dimensional hiperbólico composto por congruentes (iguais), convexos e compactos telhas poliédricas. Além disso, esses ladrilhos também não podem ser transformados em ladrilhos isoédricos usando a permutação de politopos. Os ladrilhos obtidos do espaço hiperbólico n-dimensional são importantes também, devido ao fato de que os exemplos de ladrilhos isoédricos do espaço hiperbólico n-dimensional por ladrilhos poliédricos compactos ainda não foram construídos. A construção proposta pode ser considerada como também uma demonstração construtiva relacionada ao teorema da existência de ladrilhos não face a face do espaço hiperbólico n - dimensional por politopos iguais, convexos e compactos.

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