The Islamic Crossed-Arch Domes in Cordoba: Geometry and Structural Analysis of the “Capilla de Villaviciosa”

Crossed-arch domes are a singular type of ribbed vaults. Their characteristic feature is that the ribs that form the vault are intertwined, forming polygons or stars, leaving an empty space in the centre. The earliest known vaults of this type are found in the Great Mosque of Córdoba, built ca. 960 a.C. The type spread through Spain, and the north of Africa in the 10th to the 16th Centuries, and was used by Guarini and Vittone in the 17th and 18th Centuries in Italy. However, it was used only in a few buildings. Though the literature about the structural behaviour of ribbed Gothic vaults is extensive, so far no structural analysis of crossed arch domes has been made. The purpose of this work is, first to show the way to attack such an analysis within the frame of Modern Limit Analysis of Masonry Structures (Heyman 1995), and then to apply the approach to study the stability of the dome of the Capilla de Villaviciosa. The work may give some clues to art and architectural historians to understand better the origin and development of Islamic dome architecture.

Explotación de servicios de la Infraestructura de Datos Espaciales de España (IDEE) en dispositivos móviles

En los últimos años el número de dispositivos móviles y smartphones ha aumentado drásticamente, así como el número de aplicaciones destinadas a estos. Los desarrolladores siempre se han visto frenados en la creación de estas aplicaciones debido a la complejidad que supone la diversidad de sistemas operativos (Android, iOS, Windows Phone, etc), que utilizan lenguajes de programación diferentes, haciendo que, para poder desarrollar una aplicación que funcione en estas plataformas, en verdad haya que implementar una aplicación independiente para cada una de las plataformas. Para solucionar este problema han surgido frameworks, como Appcelerator Titanium, que permiten escribir una sola vez la aplicación y compilarla para las diferentes plataformas móviles objetivo. Sin embargo, estos frameworks están aún en estado muy temprano de desarrollo, por lo que no resuelven toda la problemática ni dan una respuesta completa a los desarrolladores. El objetivo de este Trabajo de Fin de Grado ha sido contribuir a la evolución de estos frameworks mediante la creación de un módulo para Appcelerator Titanium que permita construir de manera ágil aplicaciones multiplataforma que hagan uso de visualizadores de información geográfica. Para ello se propone el desarrollo de un módulo de mapa con soporte para capas WMS, rutas y polígonos en WKT, KML y GeoJSON. Se facilitará además que estas aplicaciones puedan acceder a capacidades del hardware como la brújula y el GPS para realizar un seguimiento de la localización, a la vez que se hace uso de la aceleración por el hardware subyacente para mejorar la velocidad y fluidez de la información visualizada en el mapa. A partir de este módulo se ha creado una aplicación que hace uso de todas sus características y posteriormente se ha migrado a la plataforma Wirecloud4Tablet como componente nativo que puede integrarse con otros componentes web (widgets) mediante técnicas de mashup. Gracias a esto se ha podido fusionar por un lado todas las ventajas que ofrece Wirecloud para el rápido desarrollo de aplicaciones sin necesidad de tener conocimientos de programación, junto con las ventajas que ofrecen las aplicaciones nativas en cuanto a rendimiento y características extras. Usando los resultados de este proyecto, se pueden crear de manera ágil aplicaciones composicionales nativas multiplataforma que hagan uso de visualización de información geográfica; es decir, se pueden crear aplicaciones en pocos minutos y sin conocimientos de programación que pueden ejecutar diferentes componentes (como el mapa) de manera nativa en múltiples plataformas. Se facilita también la integración de componentes nativos (como es el mapa desarrollado) con otros componentes web (widgets) en un mashup que puede visualizarse en dispositivos móviles mediante la plataforma Wirecloud. ---ABSTRACT---In recent years the number of mobile devices and smartphones has increased dramatically as well as the number of applications targeted at them. Developers always have been slowed in the creation of these applications due to the complexity caused by the diversity of operating systems (Android, iOS, Windows Phone, etc), each of them using different programming languages, so that, in order to develop an application that works on these platforms, the developer really has to implement a different application for each platform. To solve this problem frameworks such as Appcelerator Titanium have emerged, allowing developers to write the application once and to compile it for different target mobile platforms. However, these frameworks are still in very early stage of development, so they do not solve all the difficulties nor give a complete solution to the developers. The objective of this final year dissertation is to contribute to the evolution of these frameworks by creating a module for Appcelerator Titanium that permits to nimbly build multi-platform applications that make use of geographical information visualization. To this end, the development of a map module with support for WMS layers, paths, and polygons in WKT, KML, and GeoJSON is proposed. This module will also facilitate these applications to access hardware capabilities such as GPS and compass to track the location, while it makes use of the underlying hardware acceleration to improve the speed and fluidity of the information displayed on the map. Based on this module, it has been created an application that makes use of all its features and subsequently it has been migrated to the platform Wirecloud4Tablet as a native component that can be integrated with other web components (widgets) using mashup techniques. As a result, it has been fused on one side all the advantages Wirecloud provides for fast application development without the need of programming skills, along with the advantages of native apps, such as performance and extra features. Using the results of this project, compositional platform native applications that make use of geographical information visualization can be created in an agile way; ie, in a few minutes and without having programming skills, a developer could create applications that can run different components (like the map) natively on multiple platforms. It also facilitates the integration of native components (like the map) with other web components (widgets) in a mashup that can be displayed on mobile devices through the Wirecloud platform.

Planar point sets with large minimum convex decompositions

We show the existence of sets with n points (n ? 4) for which every convex decomposition contains more than (35/32)n?(3/2) polygons,which refutes the conjecture that for every set of n points there is a convex decomposition with at most n+C polygons. For sets having exactly three extreme pointswe show that more than n+sqr(2(n ? 3))?4 polygons may be necessary to form a convex decomposition.

Crossed-arch vaults in late-gothic and early Renaissance vaulting: a problem in building technology transfer

Crossed-arch vaults are a particular type of ribbed vaults. Their main feature is that the ribs that form the vault are intertwined, forming polygons or stars and leaving an empty space in the middle. The firsts appear in Córdoba in the second half of the 10th Century. Afterwards, the type diffused through Spain and North Africa, 11th_13th Centuries. These vaults reappear in Armenia in the 13th Century. In the 14th and 15th Century a few examples are found both in England (Durham, Raby) and Central Europe (Prague, Landshut, Vienna). At about the same time, Leonardo da Vinci produced designs for the Tiburio (Ciborium) of Milan cathedral with a cross-arched structure and proposed tests to assess the strength; he also, made use of the same pattern of vault for Renaissance centralized churches. Eventually, the type can be tracked through the 17th (Guarini) and 18th (Vittone) Centuries, until Spanish post war architecture in the 1940-60s (Moya). Some questions arose, which so far, have not been answered. How was it possible that a particular type of vault had such enormous geographical spread? How was it transmitted from Córdoba to the Caucasus? The matter is one of transfer of knowledge, ideas, and technology; it relates both aesthetics and construction.

Onomástica, ecología y territorio. La toponimia de La Rioja como indicador biogeográfico y de la dinámica del paisaje forestal

Se presenta un trabajo de investigación toponímica en La Rioja con enfoque geobotánico. La premisa de partida es que la toponimia relacionada con especies y agrupaciones vegetales, productos forestales y usos del suelo proporciona información valiosa sobre la corología y la dinámica de la vegetación al ser clasificada y analizada con criterios biogeográficos y ecológicos. Se ha elegido la región riojana como zona piloto, al concurrir distintos tipos fisonómicos de vegetación y un conjunto muy diverso de comunidades vegetales representativas del paisaje peninsular. Se añade una larga historia de usos agrícolas en la llanura del Ebro que contrasta con la predominante actividad forestal en las zonas montañosas, en particular la potenciación de los pastos para ganadería trashumante. La Rioja tiene carácter de encrucijada no sólo fitocorológica: es también tierra de fronteras políticas y transiciones lingüísticas. En el léxico y la toponimia conviven variantes puras del castellano, rasgos del romance navarro-aragonés, elementos genuinos de una variante medieval riojana, palabras mozárabes y un numeroso y significativo elenco de topónimos de origen vasco. El trabajo se inicia con unas consideraciones epistemológicas. Se establece un planteamiento de la Toponimia como ciencia interdisciplinar, la etiología de los nombres geográficos, así como su valor apelativo descriptor de los atributos del paisaje. Se enumeran los condicionantes metodológicos de la investigación toponímica y se desarrolla una reflexión sobre las particularidades de la toponimia geobotánica. Se dedica un epígrafe a reseñar estudios precedentes de toponimia botánica y ecológica y el estado actual de conocimientos sobre la toponimia de La Rioja. La delimitación superficial de los parajes designados por los nombres geográficos es clave para un análisis orientado a detectar la correspondencia entre los elementos aludidos por el topónimo y las especies y comunidades vegetales. Las áreas de distribución y presencia, así como las transformaciones del paisaje, quedan definidas en superficies acotadas territorialmente. La metodología seguida se basa en la revisión exhaustiva de fuentes toponímicas ya existentes; destacadamente, los datos procedentes de la cartografía del Castro de Rústica, adscritos a polígonos con dimensión espacial. Las denominaciones de las parcelas catastrales se han complementado con los nombres geográficos del Diccionario de Toponimia Actual de La Rioja (DTALR) (González Blanco, 1987), el nomenclátor NomGeo del IGN, y algunas recopilaciones toponímicas municipales. De la base de datos conjunta se han seleccionado los topónimos con significado geobotánico. Se propone una taxonomía de grupos semánticos basada en categorías de estructura (arbolado, matorral, cubiertas herbáceas y áreas de vegetación escasa o rala) y en la adscripción a tipos de vegetación potencialmente dominantes, ordenados según una escala de higrofilia decreciente). También se reseñan topónimos referentes a usos y aprovechamientos en el medio rural: dehesas, ganadería, productos forestales y algunos cultivos agrícolas. El trabajo reúne en un repertorio sistemático los datos toponímicos, acopiados por comarcas y términos municipales. Se incluye la relación de nombres geográficos encontrados por campos nocionales y se comentan los nombres vernáculos que les han dado origen y su etimología. Quedan señalados los topónimos georreferenciados y asignados a entidades superficiales en la cartografía digital catastral, que se ha superpuesto a mapas forestales a escalas 1:200.000 y 1:50.000, en cuya elaboración participamos. El análisis ha permitido definir “topónimo externo” como el recinto catastral en que la especie o agrupación aludida no tiene presencia en la vegetación actual, al menos como dominante. Los topónimos externos más significativos de cada grupo han sido analizados describiendo la cubierta vegetal actual correspondiente, lo que permite interpretar, junto con las características fisiográficas del paraje, las causas posibles de ausencia del elemento aludido, teniendo en cuenta criterios generales de mesología, de dinámica de la vegetación y de la historia de la acción humana. El trabajo se cierra con un capítulo de conclusiones generales, conceptuales y metodológicas, así como una relación de líneas de profundización de la investigación que quedan apuntadas. Se completa con una relación de fuentes y referencias bibliográficas fundamentales. ABSTRACT This paper presents a study of the toponymy of La Rioja with a specific focus on place names reflecting the region’s geobotany. Its underlying premise is that the toponymy associated with plant species and communities, forest products and land uses can provide valuable information about the chorology and vegetation dynamics when classified and analysed using biogeographical and ecological criteria. La Rioja has been chosen for this pilot study because it concentrates vegetation types of distinct physiognomy and a highly diverse set of plant communities that can be considered representative of the vegetation of the peninsula’s landscapes. This combines with a long history of different agricultural uses on the Ebro plain that contrast with the predominance of forestry activity in the more mountainous areas, in particular the promotion of pasture for livestock transhumance. Indeed, La Rioja is not only a crossroads in terms of its phytochorology, but it is also a land of political boundaries and language transitions. Coexisting in its lexicon and toponymy, we find pure Castilian variants, features from the Romance language of Navarro-Aragonese, genuine elements of the medieval variant of the Riojan dialect, words of Mozarabic and a large and significant list of place names of Basque origin. The paper begins by outlining a number of epistemological considerations and establishes an interdisciplinary approach to toponymy, the aetiology of geographical names, and their value in the descriptive naming of the features of a landscape. It continues by enumerating the methodological determinants of toponymic research and reflects on the specific characteristics of geobotanical toponyms. The next section is dedicated to examining previous studies of botanical and ecological place names and providing a state-of-the-art review of the toponymy of La Rioja. Delimiting the sites designated by the geographical names is essential to any analysis designed to detect the correspondence between the elements alluded to by the toponyms and plant species and communities. These areas of distribution and presence, as well as the landscape changes, are defined in terms of spatially delimited surface areas. The methodology adopted involves an exhaustive review of existing toponymic sources; in particular, data obtained from the maps of the Rustic Cadastre, assigned to spatial polygons. The names of these cadastral parcels are complemented by the geographical names taken from the Diccionario de Toponimia Actual de La Rioja (DTALR) (González Blanco, 1987); the gazetteer – NomGeo, published by Spain’s Instituto Geográfico Nacional; and, various municipal list of toponyms. Place names with a geobotanical meaning were then selected from this joint database. The paper proposes a taxonomy of semantic groups based on structural categories (namely wooded areas, brushland, grassy areas and areas of scanty or sparse vegetation) and assignment to the potentially dominant type of vegetation (ordered on a scale of decreasing hygrophilic trends). Place names referring to land uses and practices in rural areas – including, pasture, livestock, forest products and some agricultural crops – are also described. The study produces a systematic list of toponyms ordered by counties and municipalities. The geographical names are organised by notional fields and the vernacular names that have given rise to them and their etymology are discussed. The toponyms are georeferenced and assigned to surface elements on the digital cadastral map, superimposed on forest maps at scales of 1:200,000 and 1:50,000, in the production of which the authors participated. The analysis has allowed us to define “external toponyms” as those cadastral parcels in which the plant species or group alluded to is no longer present in the vegetation, at least as the dominant type. The most significant external toponyms in each group have been analysed by describing the corresponding, present-day vegetation cover, which allows us to interpret, along with the physiographic features of the site, the possible causes of the absence of the aforementioned element, bearing in mind general criteria of mesology, vegetation dynamics and the history of human action. The paper finishes by offering a number of general conceptual and methodological conclusions, and a list of areas that future research can usefully examine. The study is supplemented with a list of sources and key references.

Is water structure around hydrophobic groups clathrate-like?

The term "clathrate structure" is quantified for solvation of nonpolar groups by enumerating hydrogen-bonded ring sizes both in the solvation shell and through the shell-bulk interface and comparing it to a bulk control using the ST4 water model. For clathrate-like structure to be evident, the distributions along the hydrophobic surface are expected to be dominated by pentagons, with significant depletion of hexagons and larger polygons. While the distribution in this region is indeed distinguished by a large number of pentagons, there are significant contributions from hexagons and larger rings as well. Calculated polygon distributions through the shell-bulk interface indicate that when water structure is highly cooperative along the hydrophobic surface, hydrogen-bonded pathways leading back into bulk are then reduced. These results are qualitatively consistent with the observation that hydrophobicity is proportional to the nonpolar solute surface area.

Lake-effect snow as the dominant control of mesic-forest distribution in Michigan, USA

1Recent studies demonstrated the sensitivity of northern forest ecosystems to changes in the amount and duration of snow cover at annual to decadal time scales. However, the consequences of snowfall variability remain uncertain for ecological variables operating at longer time scales, especially the distributions of forest communities. 2The Great Lakes region of North America offers a unique setting to examine the long-term effects of variable snowfall on forest communities. Lake-effect snow produces a three-fold gradient in annual snowfall over tens of kilometres, and dramatic edaphic variations occur among landform types resulting from Quaternary glaciations. We tested the hypothesis that these factors interact to control the distributions of mesic (dominated by Acer saccharum, Tsuga canadensis and Fagus grandifolia) and xeric forests (dominated by Pinus and Quercus spp.) in northern Lower Michigan. 3We compiled pre-European-settlement vegetation data and overlaid these data with records of climate, water balance and soil, onto Landtype Association polygons in a geographical information system. We then used multivariate adaptive regression splines to model the abundance of mesic vegetation in relation to environmental controls. 4Snowfall is the most predictive among five variables retained by our model, and it affects model performance 29% more than soil texture, the second most important variable. The abundance of mesic trees is high on fine-textured soils regardless of snowfall, but it increases with snowfall on coarse-textured substrates. Lake-effect snowfall also determines the species composition within mesic forests. The weighted importance of A. saccharum is significantly greater than of T. canadensis or F. grandifolia within the lake-effect snowbelt, whereas T. canadensis is more plentiful outside the snowbelt. These patterns are probably driven by the influence of snowfall on soil moisture, nutrient availability and fire return intervals. 5Our results imply that a key factor dictating the spatio-temporal patterns of forest communities in the vast region around the Great Lakes is how the lake-effect snowfall regime responds to global change. Snowfall reductions will probably cause a major decrease in the abundance of ecologically and economically important species, such as A. saccharum.

(Table 1) Radiocarbon and OSL ages of sediment cores C1-C5 drilled during the COAST expedition to Cape Mamontov Klyk in April 2005

The palaeoenvironmental development of the western Laptev Sea is understood primarily from investigations of exposed cliffs and surface sediment cores from the shelf. In 2005, a core transect was drilled between the Taymyr Peninsula and the Lena Delta, an area that was part of the westernmost region of the non-glaciated Beringian landmass during the late Quaternary. The transect of five cores, one terrestrial and four marine, taken near Cape Mamontov Klyk reached 12 km offshore and 77 m below sea level. A multiproxy approach combined cryolithological, sedimentological, geochronological (14C-AMS, OSL on quartz, IR-OSL on feldspars) and palaeoecological (pollen, diatoms) methods. Our interpretation of the proxies focuses on landscape history and the transition of terrestrial into subsea permafrost. Marine interglacial deposits overlain by relict terrestrial permafrost within the same offshore core were encountered in the western Laptev Sea. Moreover, the marine interglacial deposits lay unexpectedly deep at 64 m below modern sea level 12 km from the current coastline, while no marine deposits were encountered onshore. This implies that the position of the Eemian coastline presumably was similar to today's. The landscape reconstruction suggests Eemian coastal lagoons and thermokarst lakes, followed by Early to Middle Weichselian fluvially dominated terrestrial deposition. During the Late Weichselian, this fluvial landscape was transformed into a poorly drained accumulation plain, characterized by widespread and broad ice-wedge polygons. Finally, the shelf plain was flooded by the sea during the Holocene, resulting in the inundation and degradation of terrestrial permafrost and its transformation into subsea permafrost.

An approximation method for solving the sofa problem,

"C00-2118-0026."

Diophantus von Alexandrien, über die polygonzahlen. Uebers., mit zusätzen,

Mode of access: Internet.

Über bizentrische Polygone steinersche Kreis und Kugelreihen und die Erfindung der Inversion /

Mode of access: Internet.

Premiers éléments d'une théorie du quadrilatère complet /

Mode of access: Internet.

Expansion-based algorithms for finding single pair shortest path on surface

Finding single pair shortest paths on surface is a fundamental problem in various domains, like Geographic Information Systems (GIS) 3D applications, robotic path planning system, and surface nearest neighbor query in spatial database, etc. Currently, to solve the problem, existing algorithms must traverse the entire polyhedral surface. With the rapid advance in areas like Global Positioning System (CPS), Computer Aided Design (CAD) systems and laser range scanner, surface models axe becoming more and more complex. It is not uncommon that a surface model contains millions of polygons. The single pair shortest path problem is getting harder and harder to solve. Based on the observation that the single pair shortest path is in the locality, we propose in this paper efficient methods by excluding part of the surface model without considering them in the search process. Three novel expansion-based algorithms are proposed, namely, Naive algorithm, Rectangle-based Algorithm and Ellipse-based Algorithm. Each algorithm uses a two-step approach to find the shortest path. (1) compute an initial local path. (2) use the value of this initial path to select a search region, in which the global shortest path exists. The search process terminates once the global optimum criteria are satisfied. By reducing the searching region, the performance is improved dramatically in most cases.

Computer aided design and manufacture for three dimensional milling

Advances in both computer technology and the necessary mathematical models capable of capturing the geometry of arbitarily shaped objects has led to the development in this thesis of a surface generation package called 'IBSCURF' aimed at providing a more economically viable solution to free-form surface manufacture. A suit of computer programs written in FORTRAN 77 has been developed to provide computer aids for every aspect of work in designing and machining free-form surfaces. A vector-valued parametric method was used for shape description and a lofting technique employed for the construction of the surface. The development of the package 'IBSCURF' consists of two phases. The first deals with CAD. The design process commences in defining the cross-sections which are represented by uniform B-spline curves as approximations to give polygons. The order of the curve and the position and number of the polygon vertices can be used as parameters for the modification to achieve the required curves. When the definitions of the sectional curves is complete, the surface is interpolated over them by cubic cardinal splines. To use the CAD function of the package to design a mould for a plastic handle, a mathematical model was developed. To facilitate the integration of design and machining using the mathematical representation of the surface, the second phase of the package is concerned with CAM which enables the generation of tool offset positions for ball-nosed cutters and a general post-processor has been developed which automatically generates NC tape programs for any CNC milling machine. The two phases of these programs have been successfully implemented, as a CAD/CAM package for free-form surfaces on the VAX 11/750 super-minicomputer with graphics facilities for displaying drawings interactively on the terminal screen. The development of this package has been beneficial in all aspects of design and machining of free form surfaces.