Stackable tessellations

Creators: Enrique Monzo, Lluís; Jaume Deyà, Rafel; Díaz Báñez, José Miguel (Coordinador); Garijo Royo, Delia (Coordinador); Márquez Pérez, Alberto (Coordinador); Urrutia Galicia, Jorge (Coordinador)

Others:: Díaz Báñez, José Miguel; Garijo Royo, Delia; Márquez Pérez, Alberto; Urrutia Galicia, Jorge; Universidad de Sevilla. Departamento de Matemática Aplicada II

Description

We introduce a class of solids that can be constructed gluing stackable pieces, which has been proven to have advantages in architectural construction. We derive a necessary condition for a solid to belong to this class. This helps to specify a simple sufficient condition for the existence of a stackable tessellation of a given solid. Finally, we show the compatibility of our method with some discretization techniques appearing in the literature.

Stackable tessellations

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Abstract

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