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It is an educational escape room on math. For teenagers aged 15 and 16., Es un escape room educativo sobre las matemáticas. Para adolescentes de 15 y 16 años., Es un escape room educatiu per adolescents de 15 y 16 anys.

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© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0, Zero forcing is an iterative coloring process on a graph that has been widely used in such different areas as the modelling of propagation phenomena in networks and the study of minimum rank problems in matrices and graphs. This paper deals with zero forcing on hypergraphs. (Representing a network by a hypergraph allows us to account for its community structure and for more general interactions between different subsets of nodes.) We consider two natural generalizations to hypergraphs of zero forcing on graphs (one of them already known) and, for each one of these generalizations we look into two clutters that play a significant role in the forcing process: the clutter of minimal forcing sets and the one of minimal immune sets. A formulation of immune sets in terms of neighbourhoods (hence without making reference to the iterative zero forcing process) is presented, highlighting the different behaviour of the distinct forcing rules. Moreover, we obtain the families of minimal forcing and minimal immune sets in the case of complete hypergraphs and we provide a full characterization of forcing and immune uniform clutters, both in the graph and in the hypergraph case., Partially supported by the Ministerio de Ciencia e Innovaci´on/Agencia Estatal de Investigaci´on, Spain, and the European Regional Development Fund under project PGC2018- 095471-B-I00; and by AGAUR from the Catalan Government under project 2017SGR–1087., Peer Reviewed, Postprint (author's final draft)

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[EN] Throughout the second quarter of the 13th century, the Castilian crown conquered the extensive region of the Sierra de Segura, which for the most part passed into the hands of the Order of Santiago. From that moment on, begun a process of organization of the territory that included the transformation of the old Andalusian settlements; the construction of villages to host Christian repopulation and castles for wardens and commanders; as well as the construction of towers distributed throughout the territory and destined to secure the region against the Muslims who threatened them from a very close border. We will deal with these phenomena in this work, taking as examples two of the main towns of this area: Tayvilla and Socovos, whose historical circumstances have left us archaeological remains and a documentary set that allows us to examine in detail the patterns of change experimented by these Andalusian villages after the conquest., [ES] A lo largo del segundo cuarto del siglo XIII tuvo lugar la conquista castellana de la extensa comarca de la Sierra de Segura, que pasó en su mayor parte a manos de la Orden de Santiago. A partir de ese momento tuvo lugar un proceso de organización del territorio que incluía la transformación de los antiguos asentamientos andalusíes; la construcción de pueblas para acoger a los repobladores cristianos y de castillos para alcaides y comendadores; así como la edificación de una serie de torres distribuidas por el territorio y destinadas a asegurar su control frente a los musulmanes que los amenazaban desde una frontera muy próxima. De estos fenómenos nos ocuparemos en el presente trabajo, tomando como ejemplos dos de las principales poblaciones de este señorío: Tayvilla y Socovos, cuyas circunstancias históricas nos han legado unos restos arqueológicos y un conjunto documental que nos permite examinar de manera detallada las pautas del cambio experimentado por estos núcleos andalusíes tras la conquista.

[EN] In this paper, we will study the fortress of Taibilla, a defensive complex built by the Order of Santiago in the middle of the thirteenth century in a strategic point of the Sierra de Segura, currently belonging to the municipality of Nerpio (Albacete). Although the complex was built at the top of the hill on whose hillside a relatively important town existed in Andalusian times, the archaeological excavations proved that most of the remains of the fortification currently visible were built after the Christian conquest. It is a stately castle and the outer enclosure that protected the Christian town, both of notable importance since they were destined to accommodate a comendador and a council respectively. The Encomienda de Taibilla, however, disappeared within a few years due to the avatars of the border, leaving its territory incorporated to that of Yeste. For this reason, the fortress of Taibilla hardly underwent modifications in the medieval period, so that it has been fossilized as an excellent example of the santiaguista stately architecture of the middle of the thirteenth century.