España: evolutionism & religion, Century XIX

From the Englightenment to the middle of the 19th century, geological time and the antiquity of human beings received ever growing attention. This was caused by a series of events, such as: *the beginnings of experimentation in Geology (Buffon, 1778) *the development of the transformism (Lamarck, 1809) *the recognition and description of extinct animals (Cuvier, 1812) *as well as the studies made in alluvial deposits, caves and gravel beds, with brought to light artefacts, human rest and bone of extinguished animals (from John Frere, 1797, to Albert Gaudry, 1859). The development towards evolutionism (Darwin, 1859) came gradually. In Spain, all these currents found their echo: Spain, e.g. was the third country where the Palaeolithic remains were discovered (Verneuil and Lartet, 1863). Also the Darwin ideas were introduced forcefully, right from the beginning. But the change in worldview, which was prerequisite to these ideas, lead to polemic controversies in the political and religious realm. The most significant evidence was the official prohibition of the teaching Darwinism in public educational centres (1875). At theological level, thanks to the advance of the geologic knowledge, went leaving the literal interpretations of Biblical texts was eventually discontinued and replaced by more liberal interpretation. In some case, the process was difficult because some political, religious and scientific authors and researchers didn’t understand the new scientific ideas.

Wedges and plate-bandes: mechanical theories after De la Hire

Plate-bandes are straight masonry arches (they are called, also, flat arches or lintel arches). Ideally they have the surfaces of extrados and intrados plane and horizontal. The stones or bricks have radial joints converging usually in one centre. The voussoirs have the form of wedges and in French they are called "claveaux". A plate-bande is, in fact, a lintel made of several stones and the proportions of lintels and plate-bandes are similar. Proportions of plate-bandes, that is the relationship between the thickness t and the span s (t/s)varies, typically between 1/4–1/3 in thick plate-bandes, and is less than 1/20 in the most slender ones. A ratio of circa 1/8 was usual in the 18th Century and follows a simple geometrical rule: the centre form with the intrados an equilateral triangle and the plate-bande should contain an arc of circle. The joints are usually plane, but in some cases present a «rebated» or «stepped» form. Plate-bandes exert an inclined thrust as any masonry arch. This thrust is usually very high and it requires either massive buttresses, or to be built in the middle of thick walls. Master builders and architects have tried since antiquity to calculate the abutment necessary for any arch. A modern architect or engineer will measure the arch thrust in units of force, kN or tons. Traditionally, the thrust has been measured as the size of the buttresses to resist it safely. Old structural rules, then, addressed the design problem establishing a relationship between the span and the depth of the buttress. These were empirical rules, particular for every type of arch or structure in every epoch. Thus, the typical gothic buttress is 1/4 of the vault span, but a Renaissance or baroque barrel vault will need more than 1/3 of the span. A plate-bande would require more than one half of the span; this is precisely the rule cited by the French engineer Gautier, who tried unsuccessfully to justify it by static reasons. They were used, typically, to form the lintels of windows or doors (1-2 m, typically); in Antiquity they were used, also, though rarely, at the gates of city walls or in niches (ca. 2 m, reaching 5.2 m). Plate-bandes may show particular problems: it is not unusual that some sliding of the voussoirs can be observed, particularly in thick plate-bandes. The stepped joints on Fig. 1, left, were used to avoid this problem. There are other «hidden» methods, like iron cramps or the use of stone wedges, etc. In seismic zones these devices were usual. Another problem relates to the deformation; a slight yielding of the abutments, or even the compression of the mortar joints, may lead to some cracking and the descent of the central keystone. Even a tiny descent will convert the original straight line of the intrados in a broken line with a visible «kink» or angle in the middle. Of course, both problems should be avoided. Finally, the wedge form of the voussoirs lead to acute angles in the stones and this can produce partial fractures; this occurs usually at the inferior border of the springers at the abutments. It follows, that to build a successful plate-bande is not an easy matter. Also, the structural study of plate-bandes is far from simple, and mechanics and geometry are related in a particular way. In the present paper we will concentrate on the structural aspects and their constructive consequences, with a historical approach. We will outline the development of structural analysis of plate-bandes from ca. 1700 until today. This brief history has a more than purely academic interest. Different approaches and theories pointed to particular problem, and though the solution given may have been incorrect, the question posed was often pertinent. The paper ends with the application of modern Limit Analysis of Masonry Structures, developed mainly by professor Heyman in the last fifty years. The work aims, also, to give some clues for the actual architect and engineer involved in the analysis or restoration of masonry buildings.

Modelización del registro y proceso de datos espectrales, referidos a superficies líticas, en un ámbito arqueológico.

La determinación del origen de un material utilizado por el hombre en la prehistoria es de suma importancia en el ámbito de la arqueología. En los últimos años, los estudios de procedencia han utilizado técnicas que suelen ser muy precisas pero con el inconveniente de ser metodologías de carácter destructivo. El fenómeno de la minería a gran escala es una de las características que acompaña al Neolítico, de ahí que la revolución correspondiente a este periodo sea una de las etapas más importantes para la humanidad. El yacimiento arqueológico de Casa Montero es una mina de sílex neolítica ubicada en la Península Ibérica, de gran importancia por su antigüedad y su escala productiva. Este sitio arqueológico corresponde a una cantera de explotación de rocas silícicas desarrollada en el periodo neolítico en la que solamente se han encontrado los desechos de la extracción minera, lo cual incrementa la variabilidad de las muestras analizadas, de las que se desconoce su contexto económico, social y cultural. Es de gran interés arqueológico saber por qué esos grupos neolíticos explotaban de forma tan intensiva determinados tipos de material y cuál era el destino de la cadena productiva del sílex. Además, por ser una excavación de rescate, que ha tenido que procesar varias toneladas de material, en un tiempo relativamente corto, requiere de métodos expeditivos de clasificación y manejo de dicho material. Sin embargo,la implementación de cualquier método de clasificación debe evitar la alteración o modificación de la muestra,ya que,estudios previos sobre caracterización de rocas silícicas tienen el inconveniente de alterar parcialmente el objeto de estudio. Por lo que el objetivo de esta investigación fue la modelización del registro y procesamiento de datos espectrales adquiridos de rocas silícicas del yacimiento arqueológico de Casa Montero. Se implementó la metodología para el registro y procesamiento de datos espectrales de materiales líticos dentro del contexto arqueológico. Lo anterior se ha conseguido con la aplicación de modelos de análisis espectral, algoritmos de suavizado de firmas espectrales, reducción de la dimensionalidad de las características y la aplicación de métodos de clasificación, tanto de carácter vectorial como raster. Para la mayoría de los procedimientos se ha desarrollado una aplicación informática validada tanto por los propios resultados obtenidos como comparativamente con otras aplicaciones. Los ensayos de evaluación de la metodología propuesta han permitido comprobar la eficacia de los métodos. Por lo que se concluye que la metodología propuesta no solo es útil para materiales silícicos, sino que se puede generalizar en aquellos procesos donde la caracterización espectral puede ser relevante para la clasificación de materiales que no deban ser alterados, además, permite aplicarla a gran escala, dado que los costes de ejecución son mínimos si se comparan con los de métodos convencionales. Así mismo, es de destacar que los métodos propuestos, representan la variabilidad del material y permiten relacionarla con el estado del yacimiento, según su contenido respecto de las tipologías de la cadena operativa. ABSTRACT: The determination of the origin of a material used by man in prehistory is very important in the field of archaeology. In recent years the provenance studies have used techniques that tend to be very precise but with the drawback of being destructive methodologies. The phenomenon of mining on a large scale is a feature that accompanies the Neolithic period; the Neolithic revolution is one of the most important periods of humanity. The archaeological site of Casa Montero is a Neolithic flint mine located in the Iberian Peninsula of great importance for its antiquity and its scale. This archaeological site corresponds to a quarry exploitation of silicic rocks developed in the Neolithic period, in which only found debris from mining, which increases the variability of the samples analyzed, including their economic, social and cultural context is unknown. It is of great archaeological interest to know why these Neolithic groups exploited as intensive certain types of material and what the final destination of flint was in the productive chain. In addition, being an excavation of rescue that had to process several tons of material in a relatively short time requires expeditious methods of classification and handling of the material. However, the implementation of any method of classification should avoid the alteration or modification of the sample, since previous studies on characterization of silicic rocks have the disadvantage of destroying or partially modify the object of study. So the objective of this research wasthe modeling of the registration and processing of acquired spectral data of silicic rocks of the archaeological site of Casa Montero. The methodology implemented for modeling the registration and processing of existing spectral data of lithic materials within the archaeological context, was presented as an alternative to the conventional classification methods (methods destructive and expensive) or subjective methods that depend on the experience of the expert. The above has been achieved with the implementation of spectral analysis models, smoothing of spectral signatures and the dimensionality reduction algorithms. Trials of validation of the proposed methodology allowed testing the effectiveness of the methods in what refers to the spectral characterization of siliceous materials of Casa Montero. Is remarkable the algorithmic contribution of the signal filtering, improve of quality and reduction of the dimensionality, as well the proposal of using raster structures for efficient storage and analysis of spectral information. For which it is concluded that the proposed methodology is not only useful for siliceous materials, but it can be generalized in those processes where spectral characterization may be relevant to the classification of materials that must not be altered, also allows to apply it on a large scale, given that the implementation costs are minimal when compared with conventional methods.

The spanish professional soccer foundations. (Las fundaciones clubes de futbol profesionales en España)

Sports foundations aiming at promoting sports activities partly outline the nonprofit area with specific concern. This study attempts to know the functions, general interests of professional soccer foundations in Spain, to describe their main characteristics and to ascertain if there are significant differences among them, according to their descriptive features. A document survey and analysis was carried out, with an assistance of own establishment of documental database. The findings not only indicate a significant difference between the classification of Spanish soccer foundations and their antiquities, but also manifest the tendency of the existence of physical person in members of founders with regard to its antiquity. The results of the present work implied that there were great dissimilarities of the elaboration of regulations depending on different regions in Spain.

La habitación subterránea en la Península Ibérica : investigación geológica

La habitación rupestre en la Península Ibérica conforma un amplio conjunto de manifestaciones cuyos orígenes son difíciles de dilucidar. Existen conjuntos primitivos, posiblemente horadados durante la Antigüedad Clásica y Tardía, y otros que probablemente se originaron y excavaron en la Alta Edad Media, en los que se mezclan grupos de origen religioso y otros de probable uso defensivo. El conjunto peninsular es sin duda el más variado de Europa Occidental, pues recibió influencias árabes y usos de la cristiandad antigua, importados de Oriente Próximo, que por tanto relacionan estas manifestaciones con otras del arco mediterráneo. La supervivencia del uso de las cuevas a lo largo de la Baja Edad Media -una vez afianzada la Reconquista- es una incógnita, pero los usos rupestres volvieron a generalizarse en ciertos sectores de la Península durante la Edad Moderna, toda vez que el hábitat cuevero manifestó una eclosión relacionada con la peripecia de los moriscos, primero desterrados de sus habitaciones en el Sur y Este peninsular y luego expulsados en los albores del siglo XVII. Los que quedaron, nominalmente conversos, debieron habitar de nuevo cuevas en sus lugares de origen. Esos núcleos son los más abundantes, particularmente en la provincia de Granada y aledañas. Este substrato fue seguramente el punto de apoyo para la proliferación de las cuevas de habitación a partir del siglo XIX, en el cual un creciente proletariado agrícola y urbano necesitó de alojamientos baratos y no hizo sino imitar usos preexistentes, que se pueden rastrear en muchos de los núcleos rupestres que sobrevivieron mayoritariamente hasta bien entrado el siglo XX, y que se abandonaron gradualmente a partir de los años 60 de esa centuria. Para entonces, existían barrios de cuevas extensos en muchas provincias, destacando, aparte de las andaluzas, ciertas zonas de la Cuenca del Ebro (aragonesa, navarra y riojana), del arco periurbano de Valencia, del Sur de Madrid, de la Mancha toledana, o de las provincias de Albacete, Guadalajara, Murcia e incluso de Palencia. Los núcleos antiguos se excavaron -en razón de su origen dedicado a defensa y refugio- en lugares poco accesibles, que mayoritariamente se dan en relieves anfractuosos, en las orlas marginales detríticas y carbonatadas de las cuencas terciarias y en terrenos más antiguos de la geológicamente denominada Cuenca Vasco Cantábrica, en las cuales florecieron centros de eremitismo del primitivo condado de Castilla. También son lugares inaccesibles los riscos asomados a cantiles fluviales, cuya regularización morfológica natural ha sido causa de la ruina de múltiples hipogeos que se labraron con las mismas intenciones de refugio, defensa o retiro espiritual. Los núcleos modernos se han excavado ya en terrenos más propicios (los que componen las cuencas terciarias o "España arcillosa", mayoritariamente), y por ello observamos cómo abundan las litologías sedimentarias, que son aquellas en las que se horadaron casi todas las "colmenas" de habitación moderna en la Península. En unos casos y otros, existen rasgos comunes en lo relativo a la litología y comportamiento de los materiales excavados, y también en lo relativo a su evolución, meteorización y conservación. Se han estudiado por ello estas pautas comunes -como un posible avance para el establecimiento futuro de estudios de geoconservación del patrimonio rupestre habitado-, que se traducen en la determinación de los procesos de meteorización más característicos en los antros de la Península Ibérica -sean modernos o antiguos- y en la determinación de las relaciones más habituales entre geomorfología y tipología de las cuevas de habitación. También se exponen algunas conclusiones relativas a la resistencia de los tipos pétreos en relación a la antigüedad de los emplazamientos. Esta relación se explica bien si tenemos en cuenta que las cuevas antiguas trataban de ser lugares apartados en los que dominan rocas más resistentes -como se ha explicado- y que en las modernas se ha buscado la habitación permanente, en los materiales más blandos ocupan las depresiones terciarias del Centro, Este y Sur de la Península, colonizados no ya como refugios sino de modo seguro, y ya en arrabales "extramuros" de las ciudades. Geomorfológicamente, esta razón histórica tiene consecuencias sobre la posición de las cuevas, sobre su organización, y sobre su conservación. La extensión del dominio estudiado obliga prácticamente a bosquejar algunas de estas conclusiones geológicas, pero permite a su vez proporcionar una visión global acerca del patrimonio troglodítico desde una perspectiva geológica, y en ello radica la principal novedad de la investigación. Cave dwelling in the Iberian Peninsula comprises a great deal of examples whose origins are sometimes difficult to elucidate. There are primitive groups of caves, probably belonging to Classical and Late Antiquity, and other settlements that appear to have been created and excavated in the Early Middle Ages. Some of them are due to religious reasons and some others may probably have served for defensive uses. The Peninsular group is very likely the most diverse in Western Europe, for it was not only influenced by Arabs, but it also assimilated uses from the Antique Christendom, imported from the Middle East. In this sense, Iberian cave dwellings connect with those of the Mediterranean area. There is not total certainty about the survival of caves serving for dwelling throughout the Late Middle Ages, once the Reconquista was a fact. However, underground excavations for human habitation were once again dispread in certain zones of the Peninsula during the Early Modern period. This growth of underground habitats appears in connexion with Morisco’s vicissitudes; first of all, their removal from their settlements in South and Eastern Peninsula, and finally their expulsion from Spanish territory at the very beginning of XVII th century. Those of them who rested in Spain –and that were nominally “converts”- seem to have returned to cave dwelling in their places of origin, particularly in the province of Granada and its neighbouring zones. This substrate may have been the toehold for a new spreading of cave dwellings since XIX th century, when the increasing rural and urban proletariat returned to the pre-existent uses of caves in order to solve the necessity of affordable housing. This fact can still be detected in many of the rock settlements that have survived during a great part of the XX th century and which were gradually abandoned from the 60´s onwards. There were important cave dwelling districts in many Spanish territories by that time, and not only in Andalusia. We also find them in certain areas of the Ebro basin (those of Aragon, Navarra and La Rioja), in the peri-urban arc of Valencia, in the South of Madrid province and also in the provinces of Toledo (the so called “Mancha toledana”), Albacete, Guadalajara, Murcia or even Palencia as well. Due to their defensive and refuge uses, primitive underground habitats were dug in hardly accessible places. The majority of them are located in mountainous and rough areas, when not in the marginal borders of Tertiary basins, where coarse detritic and carbonate formations outcrop. Cave dwellings can also be found in more ancient rock masses, such as those of the Basque Cantabrian Mesozoic Basin, which is the area where hermit centres of the primitive County of Castile first flourished. Cliffs surrounding fluvial valleys are as well inaccessible places, but here we find that geological evolution has caused the destruction of many rock sanctuaries and cliff dwellings that were originally dug with the same purposes of defence, refuge and spiritual retreat. Later modern cave settlements were dug in quite more favourable terrains, mainly in the soils that compose the Tertiary basins, generally known as “España arcillosa” or “Clayey Spain”. Therefore, we find abundant sedimentary fine and medium grained lithologies, which are the ones that have hosted the majority of Modern Era warren cave dwellings in the Iberian Peninsula. Actually, both types of cave dwelling share some standards regarding the lithology of the excavated materials, and they share as well certain patterns that affect to their evolution, weathering and preservation. These common patterns have been studied here in order to determine the most characteristic weathering processes that affect the majority of the Iberian caves, both Antique and Modern. And also with a view to establish the most habitual relationships between geomorphology and typology of cave dwellings. The study may as well provide a first basis for future studies on geo-preservation of cave dwellings heritage. We also reach some conclusions about the strength of different rocks concerning the antiquity of the sites. As we have already pointed out, this relation comes from the fact that ancient caves were placed in remote or isolated locations, where harder rocks outcrop, while more modern ones result from people´s search of permanent dwelling. In this sense, the softer rocks of the Tertiary Basins of Middle, East and South Peninsula provided a secure colonization to this second and modern group. And moreover, considering geomorphological features, this historical reason has had an effect not only on the position and location of the caves, but also on their organisation/structure/distribution and preservation. The huge extension of our domain of interest almost forces to sketch out some of these geological conclusions. But at the same time it gives a global panorama of Spanish troglodyte heritage, seen from a geological perspective. And here is the main novelty of this research.

Modelo gráfico para la datación de vías romanas empedradas a partir del estudio de sus estados de frecuentación y del análisis superficial de roderas

La presente tesis doctoral se orienta al estudio y análisis de los caminos empedrados antiguos, desde la época prerromana, tanto desde el punto de vista histórico como desde el técnico. La cuantificación de la romanidad de un camino representa un objetivo importante para la mayoría de los estudiosos de la caminería antigua, así como para los arqueólogos, por los datos que ofrece acerca del uso del territorio, los trazados de caminos en la antigüedad y los tráficos asociados. Cuantificar la romanidad de un camino no es tarea sencilla debido a que intervienen multitud de condicionantes que están vivos y son cambiantes como consecuencia del dinamismo inherente al propio camino. En cuanto al aspecto histórico, se realiza una descripción y análisis de la evolución del camino en la Península Ibérica desde sus orígenes hasta mediados del siglo XX, que permite diferenciar la red itineraria según su momento histórico. Así mismo, se describen y analizan: las ruedas y los carros desde sus orígenes, especialmente en la época romana -incluyendo una toma de medidas de distintos tipos de carro, existentes en instituciones y colecciones particulares-; las técnicas de transporte en la antigüedad y las características de la infraestructura viaria de época romana, detallando aspectos generales de sus técnicas de ingeniería y construcción. Desde el punto de vista técnico, el enfoque metodológico ha sido definir un Índice de Romanidad del Camino (IRC) para la datación de vías romanas empedradas, basado en un análisis multicriterio, a partir de los distintos factores que caracterizan su romanidad. Se ha realizado un exhaustivo estudio de campo, con la correspondiente toma de datos en las vías. Se han realizado una serie de ensayos de laboratorio con un prototipo creado exprofeso para simular el desgaste de la piedra producido por el traqueteo del carro al circular por el camino empedrado y dar una hipótesis de datación del camino. Se ha realizado un tratamiento estadístico con la muestra de datos medidos en campo. Se ha definido además el concepto de elasticidad de rodera usando la noción de derivada elástica. En cuanto a los resultados obtenidos: se ha calculado el Índice de Romanidad del Camino (IRC) en una serie de vías empedradas, para cuantificar su romanidad, obteniéndose un resultado coherente con la hipótesis previa sobre la datación de dichas vías; y se ha formulado un modelo exponencial para el número de frecuentaciones de carga que lo relaciona con la elasticidad de rodera y con su esbeltez y que se ha utilizado para relacionar la elasticidad de la rodera con la geología de la roca. Se ha iniciado una línea de investigación sobre la estimación de tráficos históricos en la caminería antigua, considerando que el volumen de tráfico a lo largo del tiempo en un tramo de vía está relacionado con los valores de elasticidad de rodera de dicho tramo a través de la tipología de la roca. En resumen, la presente tesis doctoral proporciona un método para sistematizar el estudio de los caminos antiguos, así como para datarlos y estimar la evolución de sus tráficos. The present Ph. D. Thesis aims to study and to analyze ancient cobbled ways, since pre-roman times, both from the historical and technical points of view. The quantification of the Roman character of a way represents an important target for most of the researchers of ancient ways, as well as for the archaeologists, due to information that it offers about the use of the territory, the tracings of ways in the antiquity and the associate flows. To quantify the Roman character of a way is not a simple task because it involves multitude of influent factors that are alive and variable as a result of the dynamism inherent to the way. As for the historical aspect, a description and analysis of the evolution of the way in the Iberian Peninsula from its origins until the middle of the twentieth century has been done. This allows us to distinguish between elements of the network according to its historical moment. Likewise, a description and analysis is given about: the wheels and the cars since their origins, especially in the Roman time - including a capture of measurements of different types of car, belonging to institutions and to particular collections-; the transport techniques on the antiquity and the characteristics of the road infrastructure of Roman epoch, detailing general technical engineering and constructive aspects. From the technical point of view, the methodological approach has been to define an Index of the Roman Character of the Way (IRC) for the dating of cobbled Roman routes, based on a multi-criterion analysis, involving different factors typical of Roman ways. An exhaustive field study has been realized, with the corresponding capture of information in the routes. A series of laboratory essays has been realized with an ad hoc prototype created to simulate the wear of the stone produced by cars circulating along the cobbled way, and to give a dating hypothesis of the way. A statistical treatment has been realized with the sample of information measured in field. There has been defined also the concept of elasticity of rolling trace using the notion of elastic derivative. As for the obtained results: there has been calculated the Index of Roman Character of the Way (IRC) in a series of cobbled routes, to quantify its Roman character, obtaining a coherent result with the previous dating hypothesis of the above mentioned routes; and an exponential model has been formulated for the number of frequent attendances of load that relates this number to the elasticity of rolling trace and to its slenderness and that has been used to relate the elasticity of the rolling trace to the geology of the rock. An investigation line has been opened about the estimation of historical flows in ancient ways, considering that the traffic volume over the course of time in a route stretch is related to the values of elasticity of rolling trace of the above mentioned stretch by means of the typology of the rock. In short, the present Ph. D. Thesis provides a method to systematize the study of ancient ways, as well as to date them and to estimate the evolution of their flows.

Extension of Euskalduna Conference Centre and Concert Hall: A Contemporary Application of Irregular Reciprocal Frames

Reciprocal frame structures, formed by a set of self-supported elements in a closed circuit, have long been used since antiquity to cover large spans with small elements. The roof structure of the Euskalduna conference centre and concert hall extension in Bilbao, covering an irregu- lar geometry of 3000 m2 with a maximum span of 45 m, presented an interesting opportunity to revisit the concept and to apply these classical systems. Furthermore, its analysis and develop- ment led to an interesting discussion on reciprocal frames. They showed great sensitivity of these systems to the local modification of a particular element, establishment of irregular load paths, mobilisation of almost the entire sys- tem when locally applying a punctual load and, finally, its large deformability. Besides, reciprocal frames present particular construction complexities and possibilities due to the moderate length of the structural elements, the predominance of shear-only connec- tions and the necessity of the entire system to be completely erected to guarantee its stability. Euskalduna extension, completed in 2012, is one of the largest and a very par- ticular case of irregular reciprocal frame structures built in the world. It shows the formal possibilities and potentiality of reciprocal frames to respond to free and irregular geometries.

Outreach Testing of Ancient Astronomy

This work is an outreach approach to an ubiquitous recent problem in secondary-school education: how to face back the decreasing interest in natural sciences shown by students under ‘pressure’ of convenient resources in digital devices/applications. The approach rests on two features. First, empowering of teen-age students to understand regular natural events around, as very few educated people they meet could do. Secondly, an understanding that rests on personal capability to test and verify experimental results from the oldest science, astronomy, with simple instruments as used from antiquity down to the Renaissance (a capability restricted to just solar and lunar motions). Because lengths in astronomy and daily life are so disparate, astronomy basically involved observing and registering values of angles (along with times), measurements being of two types, of angles on the ground and of angles in space, from the ground. First, the gnomon, a simple vertical stick introduced in Babylonia and Egypt, and then in Greece, is used to understand solar motion. The gnomon shadow turns around during any given day, varying in length and thus angle between solar ray and vertical as it turns, going through a minimum (noon time, at a meridian direction) while sweeping some angular range from sunrise to sunset. Further, the shadow minimum length varies through the year, with times when shortest and sun closest to vertical, at summer solstice, and times when longest, at winter solstice six months later. The extreme directions at sunset and sunrise correspond to the solstices, swept angular range greatest at summer, over 180 degrees, and the opposite at winter, with less daytime hours; in between, spring and fall equinoxes occur, marked by collinear shadow directions at sunrise and sunset. The gnomon allows students to determine, in addition to latitude (about 40.4° North at Madrid, say), the inclination of earth equator to plane of its orbit around the sun (ecliptic), this fundamental quantity being given by half the difference between solar distances to vertical at winter and summer solstices, with value about 23.5°. Day and year periods greatly differing by about 2 ½ orders of magnitude, 1 day against 365 days, helps students to correctly visualize and interpret the experimental measurements. Since the gnomon serves to observe at night the moon shadow too, students can also determine the inclination of the lunar orbital plane, as about 5 degrees away from the ecliptic, thus explaining why eclipses are infrequent. Independently, earth taking longer between spring and fall equinoxes than from fall to spring (the solar anomaly), as again verified by the students, was explained in ancient Greek science, which posited orbits universally as circles or their combination, by introducing the eccentric circle, with earth placed some distance away from the orbital centre when considering the relative motion of the sun, which would be closer to the earth in winter. In a sense, this can be seen as hint and approximation of the elliptic orbit proposed by Kepler many centuries later.

Técnicas y materiales de la construcción fortificada altomedieval en el centro de la Península Ibérica: métodos de análisis a través de la arqueología y la historia de la construcción

Esta tesis doctoral tiene como objeto el acercamiento histórico-constructivo a la realidad material de las fortificaciones edificadas en el centro de la Península Ibérica durante los primeros siglos de la Edad Media. El marco geográfico se extiende desde el cauce del río Duero, delimitado por los valles de sus afluentes, el Duratón, al oeste, y el Escalote al este, hasta las cumbres del Sistema Central oriental en su entronque con el Ibérico, para descender por la falda sur de la sierra hasta los valles altos del Lozoya, Jarama y Henares. Siguiendo las demarcaciones actuales, el marco de estudio ocupa parcialmente las provincias de Soria, Guadalajara, Madrid, Segovia, Burgos y Valladolid. Desde un punto de vista cronológico, el espacio temporal se inicia con la conquista musulmana de la Península Ibérica de 711 y culmina con la incorporación definitiva al reino de Castilla de las zonas estudiadas, en torno al año 1150. Se trata de un espacio de transición, tanto desde el punto de vista social como ecológico. Los territorios al sur de la sierra correspondían a los confines septentrionales de la Marca Media de al-Andalus, mientras que la falta norte, los extrema durii, fueron un territorio escasamente poblado y desorganizado, foco de la expansión de los reinos de León y Castilla y zona de conflicto con al-Andalus a principios del siglo X. Un territorio tan amplio y heterogéneo, unido a una compleja evolución histórica y social y la parquedad de las fuentes escritas, ha necesitado de un acercamiento con una metodología de tipo mixto, en la que han convergido las técnicas propias de la documentación histórica, de la arqueología y de la historia de la construcción. Esta metodología parte de un exhaustivo vaciado bibliográfico, tras lo cual se planteó una prospección arqueológica dirigida que permitió realizar un catálogo de elementos fortificados en el área de estudio susceptibles de contener fases altomedievales. Sobre cada uno de los elementos localizados se realizó una toma de datos de tipo gráfico métrico y constructivo. Cruzando los datos recabados en cada edificio con técnicas propias de la estratigrafía e historia de la construcción se identificaron y aislaron las fases de la cronología analizada. Entre las fortificaciones que evidenciaron fases altomedievales y atendiendo a su singularidad, representatividad y calidad estratigráfica se ha profundizado en el análisis de nueve casos de estudio: el conjunto fortificado de Atienza, el castillo de Cogolludo, el recinto amurallado de Buitrago de Lozoya, el castillo de Caracena, la iglesia parroquial de la Inmaculada Concepción de Mezquetillas, la alcazaba de Gormaz, la torre de San Andrés de Sepúlveda, la iglesia parroquial de San Miguel de Ayllón y la fortificación rupestre de Alcolea de las Peñas. La investigación ha servido para dos fines principales. El primero se centra en el aspecto material. En este sentido no solo se ha identificado la presencia o ausencia de fases altomedievales en cado uno de los edificio lo que ha permitido realizar una lectura territorial, la caracterización de las diferentes técnicas y materiales constructivos y valorar la posibilidad de establecer una cronotipología. El segundo se centra en aspectos históricos y sociales. La vinculación de estos restos materiales con la documentación histórica ha devenido en un medio para conocer la historia de las gentes que construyeron estos edificios, la motivación que les llevó a emprender tales proyectos, así como el contexto en el que cada una de estas fortificaciones desempeñó las funciones para las que fue creada. Este estudio ha puesto de manifiesto la ruptura que supuso la ocupación estatal de esta zona por parte del ejército cordobés desde mediados del siglo X, tanto desde el punto de vista social como constructivo. Se ha podido documentar materialmente esta ocupación tras la restauración de Medinaceli, en torno a 946, y la sucedida tras la toma de Sepúlveda por parte de Almanzor en 984, diferenciándose claramente las técnicas constructivas propias de este momento, ejecutadas directamente por talleres foráneos, procedentes de Córdoba y Toledo. La posición estratigráfica de estas fábricas diagnósticas ha permito identificar fases constructivas inmediatamente anteriores y posteriores a este momento. También se ha podido comprobar la hipótesis inicial en relación a la pérdida de conocimientos constructivos durante el final de la Antigüedad y los primeros siglos del medievo en la zona estudiada. La sillería y la explotación de canteras, así como el ciclo productivo del ladrillo por completo, son recuperados sin recurrir a un sustrato tecnológico local, propiciados de manera efímera por la ocupación califal. Cuando se produce el desmembramiento del califato a partir del año 1010 estas técnicas se vuelven a abandonar. A finales del siglo XI y principios del siglo XII se produce un nuevo cambio en la construcción, recuperándose de nuevo estas técnicas de la mano del románico y del establecimiento de la red parroquial diocesana. En una zona y periodo histórico apenas explotado por la investigación, esta tesis doctoral busca no solo establecer una metodología de trabajo sino sentar las bases para futuros estudios, tanto desde el punto de vista particular, profundizando en el estudio constructivo y estratigráfico de cada uno de los elementos recogidos, como en otros aspectos más trasversales. ABSTRACT This doctoral thesis has a constructive historical material approach to the reality of the fortifications built in the center of the Iberian Peninsula during the first centuries of the middle Ages. The geographical framework extends from the Duero´s riverbed, bounded by the valleys of its tributaries, the Duratón on the west, and the Escalote on the east, until to the peaks of the eastern Central System at its connection with the Iberian, to descend the hillside of the mountain range to the high valleys of Lozoya, Jarama and Henares. Following the current demarcations under this framework study, partially cover the provinces of Soria, Guadalajara, Madrid, Segovia, Burgos and Valladolid. From a chronological point of view, the temporal space began with the Muslim conquest of the Iberian Peninsula in 711 A.D and ends with the final incorporation into the Kingdom of Castile in the studied areas, around the year 1150 A.D. It is a transitional gathering point, both socially and ecologically. The southern territories of the Sierra or mountain range corresponded to the northern boundaries of the Middle mark of al- Andalus , while the northern missing, the extrema Durii , were a disorganized sparsely populated territory and point of the expansion of the kingdoms of Leon and Castile and zone of conflict with al- Andalus at the beginning of the tenth century. Such a wide and diverse territory, connected with a complex historical, social evolution and the lack of written sources , has required an approach with a mixed type methodology, which have converged the techniques of historical documentation of the archeology and building history. This methodology comes from a comprehensive bibliographic study, after which an archaeological survey was directed that allowed building a fortified elements ‘catalog in the study area likely to contain high medieval period phases were raised. On each of the elements located one metric data collection and constructive graphic type was performed. Checking against the data collected in each building with its own history of stratigraphy and construction techniques and finally, they were identified and isolated the timing analysis phases. Among the early medieval fortifications that showed high period Medieval phases and according to its uniqueness , representativeness and stratigraphy’s quality of the nine case studies : the fortified complex of Atienza, Cogolludo Castle, the Buitrago de Lozoya´s walled enclosure , the Caracena´s castle , the Mezquetillas´ parish church, the Gormaz´s fortress, the San Andres toser in Sepulveda, the church of San Miguel de Ayllón and the Alcolea de las Peñas´ rock fortress. This research study has served two main purposes. The first focuses on the material side. In this sense it does not only identified the presence or absence of early medieval period phases in each one of the building, which has allowed a territorial reading and the characterization of the different construction techniques and materials, but it also assess the possibility of establishing a chrono–typology. The second focuses on historical and social aspects. The bound of these materials remains with the historical documentation has become a means to know the history of the people who built these buildings, the motivation that led them to undertake such projects as well as the context in which each of these fortifications played the functions for which it was created. This study has revealed the breach that led to the state occupation of the Cordovan army in this area by since mid-tenth century, from the social point of view and also from the structural one. It has been materially document this occupation after the restoration of Medinaceli, around 946, and succeeded after taking Sepulveda by Almanzor in 984, clearly differentiating their own building techniques currently implemented directly by foreign workshops, from Cordova and Toledo. The stratigraphic position of these factories has made it possible to identify earlier and later construction phases at this time. It has also been able to verify the initial hypothesis in relation with constructive knowledge loss during late antiquity and early medieval centuries in the studied area. Also ashlar, masonries as well as the brick production is recovered without resorting to a local technological substrate, fleetingly brought about by the Caliphate occupation. When the dismemberment of the Caliphate is produced from the year 1010 these techniques were abandoned again. In the late eleventh and early twelfth century these techniques are recovered from Romanesque and a new change came, also from the establishment of the diocesan parish network. In one historical period that has been hardly exploited by research, this thesis seeks not only to establish a working methodology but lay the groundwork for future studies, both from the particular point of view, paying special attention in the constructive and stratigraphic studies of each of the evidence collected , and additionally in other more transversal aspects.

El fragmento y la abstracción

El tema objeto de esta Tesis, el Fragmento y la Abstracción, es una propuesta de análisis sobre el diálogo entre el fragmento como object trouvé y la abstracción, como un modo de proceder por parte del autor en el proyecto de arquitectura. En un principio, tal vez la creación artística nació como un intento por comprender la complejidad del mundo en que el ser humano vivía. Y se dedica a establecer un diálogo con el fragmento, a veces buscando su significado como parte de una historia desconocida, otras como parte de su propia historia pero también como referencia a una etapa mítica, convirtiéndose en símbolo de un paraíso perdido. El fragmento ha dado lugar al diálogo entre obra y autor tanto en música como en literatura o pintura. Esta tesis intenta analizar dicho diálogo en la arquitectura. Esta investigación comienza interrogándose sobre el sentido del fragmento y la abstracción como el modo de pensamiento leve, en definición de Italo Calvino, que nos permite conectar las ideas más alejadas. Para ello, se propusieron cinco modelos para explorar dicha relación. Los edificios elegidos fueron 1.- Villa Adriana 2.- Palacio de Carlos V en la Alhambra 3.- La casa- museo de Sir John Soane 4.- El Carmen de Rodríguez-Acosta 5.- Castelvecchio Dos de ellos residencies imperiales (1 y 2) Dos fortalezas (2 y5) Dos casas-estudio (3 y 4) Las cinco tienen relación con jardines De sus autores no todos son conocidos Tres de ellos se dedicaron a la docencia en arquitectura. Los cinco tienen carácter museográfico. P.D. Durante la investigación, para relacionar a unos y otros, se introdujo a Gian Battista Piranesi como importante nexo de unión entre antigüedad y modernidad. ABSTRACT The subject of this Thesis “Fragment and Abstraction, is a purpose of analysis about the dialogue between fragment as object trouvé and abstraction, as a way to do by the author in the architectural project. At first, we suppose historically that artistic creation is born as a way to understand the complexity of the world where the human beings lives. They tried to stablish a dialogue with the fragment, looking for its meaning, sometimes as the part of an unknown story, sometimes as part of their own history, but sometimes as reference of mythic times, becoming a symbol of a lost paradise. In arts, fragment is at beginning of many dialogues between craft and the author, as we know in music, literature or painting. This thesis try to analyze this dialogue in architecture. This investigation began asking for the meaning of fragment as something what was broken out from something we do not know, and abstraction as an immaterial way of thinking which let us connecting the most far ideas. Therefore, five architectural model were proposed, in order to explain that relationship. The chosen buildings were: 1- Villa Adriana 2- Charles V Imperator’s Palace at la Alhambra 3- Sir John Soane House -Museum 4- Rodríguez –Acostas’s Carmen 5- Castelvecchio by Carlo Scarpa There are: Two Imperial palaces (the 1st and 2nd), Two fortresses (the 2nd and 5th) Two House-Artist Studio (the 3rd and 4th) Five types of relationship with gardens. The authors, from them, we do not know some of them Three of the architects used to teach architecture All of them went to Rome Now the five buildings have become museum institution.During the investigation, in order to explain the relationship between them, I introduced Giambattista Piranesi as an important nexus to understand the transition from the antiquity to the modernity.

Un deseo moderno todavía pendiente : la casa patio, una posible técnica de agrupación de vivienda colectiva vertical

La idea de aportar a la vivienda en altura las cualidades de la casa patio, se ha estudiado durante años. Podemos decir que el origen de este análisis se inició en 1922 cuando Le Corbusier empezó a investigar a cerca de los Inmuebles Villa; sin duda sabemos que ha llegado hasta la actualidad. Ayudado por la labor de búsqueda de diferentes arquitectos a lo largo de la historia, podemos afirmar que todos los casos conforman una idea única de proyecto. La idea de agrupar casas patio en altura manteniendo las características propias de este tipo de viviendas, privacidad, espacio libre, apertura cenital, comunicación interior‐exterior… Los Inmuebles‐Villa serán repetidamente aludidos, citados o retomados como un tipo paradigmático entre las propuestas de agrupaciones de casas patio en altura. Si pensamos en el concepto tradicional de patio, denominarlo como un espacio de viviendas apiladas en altura no parece una elección adecuada, no obstante la noción de patio permite una gran cantidad de asociaciones. Su valor radica en el traslado de una idea conocida a un nuevo contexto, produciendo así una reformulación del problema. Elegimos para este proceso, la vivienda colectiva, entendiendo la colectividad como agrupación, pues es esta agrupación de vivienda la encargada de crear ciudad; así no sólo vale la pena dar importancia a una célula con su independencia, sino en la relación que estas establecen con sus semejantes. De ahí la idea de que esa colectividad de casas patio, pueda darse también en vertical, buscando las condiciones antes mencionadas. Un deseo que apareció en el Movimiento Moderno y que desde ese momento ha sido algo anhelado por la arquitectura hasta nuestros días. El patio se presenta en la mayoría de las ocasiones como un espacio con múltiples afecciones, desde el patio que aporta a la vivienda una zona de esparcimiento hasta un espacio destinado a la ventilación, aunque en definitiva, podemos decir que consiste en un espacio capaz de contener un lugar. Quizás por eso aparece de diversas formas en nuestra arquitectura, sin importar su ubicación o forma. Simplemente un espacio que aporta al interior unas características que esas viviendas nunca alcanzarían sin él. Por eso lo que conocemos como casa patio es un tipo de arquitectura que se extiende hasta la antigüedad. Ese concepto de espacio exterior incorporado a la vivienda es una de las piezas fundamentales en nuestra arquitectura. Una idea ampliamente estudiada que deja a un lado los diferentes tipos de “patio” que fueron apareciendo, así como las múltiples funciones que dichos espacios fueron capaces de llevar a cabo, primando en definitiva la forma en la que cambiaron la idea de habitar. A lo largo de este análisis se han ido hallando evidencias de los múltiples mecanismos empleados en los casos estudiados. Como se ha visto, en ellos aparecen características que únicamente pueden aparecer en un espacio exterior cuando se trata de un patio. Los patios estudiados se consideran patios tradicionales, independientemente de la cota a la que se encuentren, aunque no cumplan alguna de las características a priori necesarias para la definición de patio. Para captar la esencia de esos espacios, no es necesario traspasar sus límites, ya que ésta se irradia al interior e invade la atmósfera de los espacios contiguos. Se plantea como objetivo principal rastrear las huellas de una investigación proyectual que Le Corbusier inaugura y deja abierta; se trata de descubrir qué ecos, qué rebotes, qué repercusiones tiene el concepto de patio en altura a lo largo de su historia. En esta búsqueda de identificación de las características de estos espacios, hemos seleccionado tres casos, partiendo de las experiencias tanto en patios tradicionales como en patios en altura de tres maestros como son Le Corbusier, José Luis Sert y Charles Correa. Los casos estudiados podrían haber sido muchos más. Este número supone solo un ejemplo de un universo mayor, que ha sido operativo para el desarrollo de este trabajo. Ellos nos guiarán por su arquitectura para intentar resolver la idea de los patios en altura. Hemos analizado las influencias proyectuales existentes entre algunos de los casos que forman parte de esta reflexión, entre los que existen unos vínculos claros, que pueden ser esas claves que estamos buscando para resolver la agrupación de casa patio en altura. A través de este trabajo se ha puesto de manifiesto que la aplicación del concepto de casas patio en altura depende tanto de su ubicación, del clima y la cultura local, como el tipo de patio del que se parte. De estos conceptos surgen soluciones diferentes entre ellas y por tanto no pueden extrapolarse una sola idea a todos los casos. Algunas ideas están presentes durante toda la investigación: fachadas como resultado de la repetición de células, sucesión de espacios, plantas de casas patio tradicional, dobles alturas…Otros casos destacan por su singularidad, por haber buscado la solución del problema mediante la originalidad. En definitiva buscamos casas patio en altura. Y si esta tesis contribuye, en alguna medida, a obtener las claves para que esta tipología edificatoria funcione, de sus características, sus necesidades, y su resultado, es decir, de su búsqueda de ese deseo moderno que presentábamos al principio, será entonces que esa tipología ilusoria, sea una arquitectura real, y por lo tanto también podrá llevarse a cabo y dejar de ser un deseo para convertirse en realidad. Sera que el deseo moderno se ha cumplido. ABSTRACT The idea of giving housing the height of the patio housing qualities, it has been studied for ages. It can be said that the origin of this analysis was started in 1922, when Le Cobustier began investigating about The Villa Building: obviously it is known nowadays due to different architect’s labor of searching through the history. It’s easy to say that all the cases shape a single project idea , the idea of gathering patio houses with the same height keeping the inner characteristics of traditional patio houses such privacy, free space, zenithal opening, inside –outside communication…etc. If we thought about the traditional concept of patio, to define it, in the case of gathering because of the height, it is not suitable to consider it like a pile of houses with the same height. Nevertheless the concept of patio allows a wide variety of settlements. Its worth is based on the transference of a renowned idea into a new context, producing thus a reformulation of the problem. The patio is frequently disposed like a zone with multiple utilities, from the leisure zone patio to an air circulating space, definitively it can be said that it consists on a space which is able to content a place. Maybe that is why it appears in various forms in our architecture, regardless of its placement or shape. It is simply a space which provides many features which are impossible to reach without it. That is what we know as patio house is a type of architecture which is spread till antiquity. This concept of outdoors space joined housing is one of the main pieces of our architecture. It is an idea wide analyses which lefts aside the different types of patios which were developed, focusing mainly the way they changed the idea of inhabiting. We have chosen for this analysis process, the collective housing, we understood collective like group, thus it is the group of housing responsible to built up a city, not just it is worth to give importance to an independent cell, in addition to the relation which those ones can stablish with their similar ones. Due to the idea of collectivity of patio houses, it can be also developed in vertical, looking for the previously mention condition. A wish which appeared with the modern movement and since then it has been something desired by architecture just nowadays. It is understood as the main target to follow the trail about a project investigation which was begun and left open by Le Cobustier: the task is discovering the resonances, the bounces and repercussions which belong to the patio concept in height through its history. In this quest to distinguish the characteristics of these spaces, we have chosen three cases, starting from the experiences as traditional patios as in the height of patios of the masters such as Le Cobustier, Jose Luis Sert and Charles Correa. The studied cases could be even more. This number is just an example of a huger universe, which has been operational for the developing of this work. We will be managed through their architecture trying to solve the idea of patios according to their height. Over this analysis evidences there are found multiple mechanics used in the studied cases. As we could see later, in these ones there are characteristics which are only found in an outdoors space when it is a patio. The studied patios are considered traditional patios, independently of the level they have, although they do not fit at first some of the necessary characteristics included in a patio definition. To catch the essence of those spaces, it is not necessary to go through its limits, since it is transmitted to the interior and pervades the adjoining spaces. It has been analyzed the project influences exiting among several cases which build up part of this consideration , among them there are some clear links, which may be these keys we are looking for to solve the joint of patio houses in height. With this work it has been highlighted that the application of the patios houses in height concept depends not only on its placement, the weather and the local culture, but also on the type of patio we are using. From these considerations different solutions were given by themselves as consequence they can be extrapolated into a single idea for all the cases. Some ideas are present along the complete investigation: facades resulting from cells repetition, series of spaces, traditional patio house floor, double height… Some other cases stand out due to it singularity, because they have searched for a solution to the problem by means of originality. To sum up, we look for patio houses in height. And if this thesis contributes, in some way, to get the clues to make work this type of building, about its characteristics, its necessities and its result, in other words, its searching of this modern desire that we showed at the beginning, then this imaginary typo will be a real architecture therefore it can also come truth and can abandon the form of wish to became into a reality. So the modern desire has been fulfilled.

Simulation of thermal performance of glazing in architecture using scale models = Simulación del comportamiento térmico de los acristalamientos en la arquitectura mediante modelos a escala

El propósito de esta tesis es estudiar la aproximación a los fenómenos de transporte térmico en edificación acristalada a través de sus réplicas a escala. La tarea central de esta tesis es, por lo tanto, la comparación del comportamiento térmico de modelos a escala con el correspondiente comportamiento térmico del prototipo a escala real. Los datos principales de comparación entre modelo y prototipo serán las temperaturas. En el primer capítulo del Estado del Arte de esta tesis se hará un recorrido histórico por los usos de los modelos a escala desde la antigüedad hasta nuestro días. Dentro de éste, en el Estado de la Técnica, se expondrán los beneficios que tiene su empleo y las dificultades que conllevan. A continuación, en el Estado de la Investigación de los modelos a escala, se analizarán artículos científicos y tesis. Precisamente, nos centraremos en aquellos modelos a escala que son funcionales. Los modelos a escala funcionales son modelos a escala que replican, además, una o algunas de las funciones de sus prototipos. Los modelos a escala pueden estar distorsionados o no. Los modelos a escala distorsionados son aquellos con cambios intencionados en las dimensiones o en las características constructivas para la obtención de una respuesta específica por ejemplo, replicar el comportamiento térmico. Los modelos a escala sin distorsión, o no distorsionados, son aquellos que mantienen, en la medida de lo posible, las proporciones dimensionales y características constructivas de sus prototipos de referencia. Estos modelos a escala funcionales y no distorsionados son especialmente útiles para los arquitectos ya que permiten a la vez ser empleados como elementos funcionales de análisis y como elementos de toma de decisiones en el diseño constructivo. A pesar de su versatilidad, en general, se observará que se han utilizado muy poco estos modelos a escala funcionales sin distorsión para el estudio del comportamiento térmico de la edificación. Posteriormente, se expondrán las teorías para el análisis de los datos térmicos recogidos de los modelos a escala y su aplicabilidad a los correspondientes prototipos a escala real. Se explicarán los experimentos llevados a cabo, tanto en laboratorio como a intemperie. Se han realizado experimentos con modelos sencillos cúbicos a diferentes escalas y sometidos a las mismas condiciones ambientales. De estos modelos sencillos hemos dado el salto a un modelo reducido de una edificación acristalada relativamente sencilla. Los experimentos consisten en ensayos simultáneos a intemperie del prototipo a escala real y su modelo reducido del Taller de Prototipos de la Escuela Técnica Superior de Arquitectura de Madrid (ETSAM). Para el análisis de los datos experimentales hemos aplicado las teorías conocidas, tanto comparaciones directas como el empleo del análisis dimensional. Finalmente, las simulaciones nos permiten comparaciones flexibles con los datos experimentales, por ese motivo, hemos utilizado tanto programas comerciales como un algoritmo de simulación desarrollado ad hoc para esta investigación. Finalmente, exponemos la discusión y las conclusiones de esta investigación. Abstract The purpose of this thesis is to study the approximation to phenomena of heat transfer in glazed buildings through their scale replicas. The central task of this thesis is, therefore, the comparison of the thermal performance of scale models without distortion with the corresponding thermal performance of their full-scale prototypes. Indoor air temperatures of the scale model and the corresponding prototype are the data to be compared. In the first chapter on the State of the Art, it will be shown a broad vision, consisting of a historic review of uses of scale models, from antiquity to our days. In the section State of the Technique, the benefits and difficulties associated with their implementation are presented. Additionally, in the section State of the Research, current scientific papers and theses on scale models are reviewed. Specifically, we focus on functional scale models. Functional scale models are scale models that replicate, additionally, one or some of the functions of their corresponding prototypes. Scale models can be distorted or not. Scale models with distortion are considered scale models with intentional changes, on one hand, in dimensions scaled unevenly and, on the other hand, in constructive characteristics or materials, in order to get a specific performance for instance, a specific thermal performance. Consequently, scale models without distortion, or undistorted scale models scaled evenly, are those replicating, to the extent possible, without distortion, the dimensional proportions and constructive configurations of their prototypes of reference. These undistorted and functional scale models are especially useful for architects because they can be used, simultaneously, as functional elements of analysis and as decision-making elements during the design. Although they are versatile, in general, it is remarkable that these types of models are used very little for the study of the thermal performance of buildings. Subsequently, the theories related to the analysis of the experimental thermal data collected from the scale models and their applicability to the corresponding full-scale prototypes, will be explained. Thereafter, the experiments in laboratory and at outdoor conditions are detailed. Firstly, experiments carried out with simple cube models at different scales are explained. The prototype larger in size and the corresponding undistorted scale model have been subjected to same environmental conditions in every experimental test. Secondly, a step forward is taken carrying out some simultaneous experimental tests of an undistorted scale model, replica of a relatively simple lightweight and glazed building construction. This experiment consists of monitoring the undistorted scale model of the prototype workshop located in the School of Architecture (ETSAM) of the Technical University of Madrid (UPM). For the analysis of experimental data, known related theories and resources are applied, such as, direct comparisons, statistical analyses, Dimensional Analysis and last, but not least important, simulations. Simulations allow us, specifically, flexible comparisons with experimental data. Here, apart the use of the simulation software EnergyPlus, a simulation algorithm is developed ad hoc for this research. Finally, the discussion and conclusions of this research are exposed.