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id eaea2009_loerincz_szilagyi_urbin
authors Loerincz, Daniel; Brigitta Szilagyi, Agnes Urbin
year 2011
title Space Representation with Six Vanishing Points
source Projecting Spaces [Proceedings of the 9th European Architectural Endoscopy Association Conference / ISBN 978-3-942411-31-8 ], pp. 161-171
summary Even the antique world’s scientists were interested in the problem of realistic space representation. Renaissance artists realized the first significant results with the one landmark perspective: in this mode the relative positions of objects are easy to define. Leonardo da Vinci discovered that the one-point perspective shows in different measure the objects in the same distances from the viewer but different distances from the landmark. To eliminate this problem he applied the natural perspective for the first time (two-point perspective). With this method he extended the field of view to 90° (in line with the horizon). Later the three-point perspective made possible to represent those objects which have quite large extension in all directions. Because of the feature of the human eye in everyday life we only need these three space representations. The extension of the field of view raises the problem that parallel lines seem to run to different landmarks. So we can conclude that in case of large field of view the images of straight lines are usually not straight lines. This paradox is possible because in case of perspectives with one two and three vanishing points we represent only half lines on the paper and we neglect three more landmarks. It’s easy to see that if two parallel lines meet in front of us, it must happen in the same way behind us. The six- point perspective is a space representation which takes these problems into consideration. In this way we are able to represent on a terminate field the whole space around us except the viewpoint. This system can terminate the rank of the perspectives started with the traditional one-, two- and three- point perspectives and continued with the four- and five-point perspectives. In literature we can find some book about art which is engaged in this system and gives alternative solutions against the conventional space representations and some enterprising artist are making experiments in this field.
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100%; open Kirsti Andersen (2007) Find in CUMINCAD THE GEOMETRY OF AN ART: The History of the Mathematical Theory of Perspective from Alberti to Monge , Springer

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