"Trazar una bóveda cónica cuadrada" La trompa volada de Tomás Vicente Tosca

Abstract

<div data-canvas-width="82.4750337835114"><p>The squinches isa very versatile construction type in the field of stonework. It is defined in its most elementary case as the covering of a triangular area with a conical surface, but, nevertheless, there are an infinite number of variants increasing the complexity of the layout and its execution.The studied case in this paper is the development of the layout of the "square conical vault" (actually, a cantilevered vault), in the treatise on stonework by Tomás Vicente Tosca, published in 1727. This author's work reflectsthe tradition of the local area (which comes mainly from the brilliant episode of the 15th century in Valencia), but it is also part of the pre-illustrated cultural trends of the time. The traces that appear are the result of combining ancient graphic habits with the development, to a certain extent, already scientific, of geometry and mathematics.All this leads, in the case of the "conical-square vault", to the development of a fundamentally descriptive trace, result of a mentality that is more analytical than practical, but that does not manage to emancipate itself from the old building tradition, as this study makes evident, and also the detected graphic habits.The research is also based on other examples of a documentary nature, such as the cantilevered domes of Vandelvira, Philibert de l'Orme, Gelabert, and on a built example; the squinch of the palace of the Generalitat de Valencia.</p></div><div data-canvas-width="145.94326164079826"> </div>

Cultural Heritage Restoration of a Hemispherical Vault by 3D Modelling and Projection of Video Images with Unknown Parameters and from Unknown Locations

“…For the restoration of paintings, the surface is usually modelled and developed mathematically in 2D (using cartographic projections) to perform the restoration on a plane and then transfer it to the surface of the structure [30,31]. However, there are cases in which it is not possible, mainly because there are surfaces that cannot be developed mathematically [32,33]. Sometimes it happens because the construction has not been well executed (mainly due to the constructive means of the era in question), because the surface is not mathematically developable (mainly irregular spherical surfaces), or for both things at the same time [34].…”