Summa de arithmetica geometria proportioni et proportionalita [Title page]

This illustration is the title page for Summa de arithmetica geometria proportioni et proportionalita, by Luca Pacioli. Tusculano : Paganino de Paganini, 152

Divina proportione

En el registro del CPBE constan las secuencias de lám. como insertas en la primera parte de la obraEl nombre del autor figura en h. A2rColofones en hs. E9v y en c10rSign.: A6, B-D8, E10 a-b8, c10 []62Iniciales xil

The time resolution of the St. Petersburg paradox

A resolution of the St. Petersburg paradox is presented. In contrast to the standard resolution, utility is not required. Instead, the time-average performance of the lottery is computed. The final result can be phrased mathematically identically to Daniel Bernoulli's resolution, which uses logarithmic utility, but is derived using a conceptually different argument. The advantage of the time resolution is the elimination of arbitrary utility functions.Comment: 20 pages, 1 figur

Modelling the underlying principles of human aesthetic preference in evolutionary art

Our understanding of creativity is limited, yet there is substantial research trying to mimic human creativity in artificial systems and in particular to produce systems that automatically evolve art appreciated by humans. We propose here to study human visual preference through observation of nearly 500 user sessions with a simple evolutionary art system. The progress of a set of aesthetic measures throughout each interactive user session is monitored and subsequently mimicked by automatic evolution in an attempt to produce an image to the liking of the human user

Anthropometric Analysis of the Mosque-Cathedral of Cordoba

Este estudio forma parte de una investigación más amplia sobre metrología histórica de la arquitectura. Se pretende en primer lugar divulgar los principios científicos del primer método técnico desarrollado para analizar las modulaciones de obras realizadas con el antiguo sistema antropométrico. Como aplicación práctica se presentan parte de los resultados obtenidos en la mezquita-catedral de Córdoba, un complejo ejemplo entre los numerosos edificios analizados hasta ahora que responden al mismo sistema milenario de control métrico. Para el análisis se utiliza el método de dimensionado por doble escala √2 sobre un levantamiento del alzado oeste del edificio realizado por Antonio Almagro Gorbea, complementado con otras bases gráficas y mediciones directas. Se destaca la utilización de un único codo hispano-musulmán frente a 3 varas distintas en los añadidos cristianos, las diferencias entre sillerías emirales y califales, la composición estática de portadas, y la modulación dinámica de otros numerosos elementos.This study forms part of a more extensive research on metrology in historic architecture. Its primary intention is to disseminate the scientific principles of the first technical method that was developed to analyze the modulations of works that were carried out with the old anthropometric system. As a practical application, parts of the results obtained in the Cathedral-Mosque of Cordoba are also presented, a complex example among many others analyzed, corresponding to buildings of millenarian metric system. To perform the analysis I used the Method of Modulation and Sizing of Historic Architecture applied to a survey of the west elevation of the building executed by Antonio Almagro, supplemented with other graphic bases and direct measurements. The use of a unique Hispanic Muslim cubit stands out next to 3 distinct rods in the Christian additions. Differences can also be appreciated among the emiral and califal ashlar masonry, as well as the static composition in the entrances. Also highlighted are the dynamic modulations of numerous other elements in the building

The visual and material dimensions of legitimacy:Accounting and the search for Socie-ties

We are grateful to the Fondation Audencia for the financial support provided for our archival research.The aim of this article is to contribute to the literature on legitimacy by investigating its material and visual dimensions. By drawing on studies on rhetoric as a means of composing visions of social order and on an historical analysis of accounts in three paradigmatic eras (Roman times, Renaissance and Modernity), it shows how symmetry in accounts constituted an aesthetic code which tied members of a community together in ‘socie-ties’. We investigate the rhetorical process of ratiocinatio and explore how the visual and material dimensions of accounts provided social actors with an opportunity to explore their positions and ties within a community. This process augmented social actors’ understanding of their current relations by reducing them to a series of entries into an account, thus allowing them to reflect on what it meant to be a legitimate member of a society.PostprintPeer reviewe