NARVÁEZ RODRÍGUEZ , Roberto

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A graphic conjecture is presented based on a singular property stated by Archimedes [287-212 B.C.] in his work On Conoids and Spheroids. This ancient text constitutes the starting argument for graphic research that has revealed an unknown property regarding the intersection of rotational quadratic surfaces which they share one of their foci....

This paper is presented under the assumption that 3D CAD systems are nowadays powerful tools, not only in advanced geometry but also as learning environments for elementary levels in university undergraduate courses. Their use at these levels is continuously increasing; however, they may be applied without taken into account both the...

Since the early nineties until these days, the amount of contributions about the benefits of CAD systems in the development of the Descriptive Geometry has significantly increased. The reasons why these innovations should be assumed have never been clearly expressed, and if they were, they were not understood at all. In any case, the current...

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El uso de la computación en el diseño arquitectónico, junto con la aplicación de técnicas de fabricación digital para la materialización, ha traído un nuevo paradigma donde las aportaciones de los autores clásicos vinculados a la Geometría Descriptiva podrían parecer inadecuadas. Esta comunicación muestra un estudio de caso sobre un prototipo a...

The use of certain quadratic surface theorems has mainly been associated in architecture with the design of classical vaults, domes and piping. The work presented by the authors is intended to explore the potential of these theorems to be used in the generation law for more complex shapes in contemporary architecture. The paper shows the case...

Although initially intended for academic purposes, the research shown in this paper was drawn towards the development of hollow lightweight conical com-ponents to materialise rotational parabolic domes. The starting point is a projec-tive interpretation of an Archimedean property of rotational paraboloid planar sections. This is used to...