The topic of this thesis is digital methods in process of architectonic designing, analysis, research and application of new methods. This thesis describes theoretical sources, which are useful for creating new digital methods. Thesis systematically describes existing methods and analyzes application on various projects. In thesis is also described research of new, own methods and preview of application.

Thesis (M.S.)--University of Missouri-Columbia, 2004. / Typescript. Includes bibliographical references (leaves 110-111). Also available on the Internet.

Thesis (M.S.)--University of Missouri-Columbia, 2004. / Typescript. Includes bibliographical references (leaves 110-111). Also available on the Internet.

Durability, Utility and Beauty are the three Vitruvian principles of architecture. They are also my belief of what constitutes architecture. In order to pursue the essence of architecture, I hope to find at least in part an answer through the study of classical buildings that adhere to those principles. Classical architecture is often organized through basic geometric elements such as square, circle and triangle. These geometric elements have endured the history of architecture and suggest being applicable to any contemporary building. Since ancient time, humans had intimate relationships with animals, including horses. Even today, where the utility of the horse is no longer important, people still love to engage with horses on many levels. From this perspective, a horse is in a way a symbol that syncretize ancient and modern times. A horse stable offers itself as a great example to study the relationship between man and horse. As a site, Blacksburg, a small town with a significant animal research branch of the university has rich pasture resources. The proposed architecture seeks to recognize the long-standing horse culture in classical terms, a very usable and beautiful ensemble, based on strong principal geometric elements. / Master of Architecture

Girard Desargues (1951-1662) was a key figure in the transformation of architectural geometry from its ancient and venerated status as transcendental knowledge and supreme reality to a mere technological instrument for the control of building construction practice. As a friend of Rene Descartes and Marin Mersenne, Desargues participated in the development of the mechanistic worldview which accompanied the emergence of experimental science and the renewed interest in mathematics and geometry as axiomatic, deductive systems. This dissertation examines in detail Desargues' methods of stereotomy (the geometrical basis of architectural stone cutting) and his system of perspective construction without vanishing points beyond the picturespace. Desargues' theorem and other key discoveries for which he is still known in the history of mathematics are discussed as they bear upon his methods of stereotomy and perspective. Desargues' stereotomy is almost certainly the first attempt at a universal descriptive geometry such as Gaspard Monge finally developed after the French revolution. Desargues' work in this area may thus be seen as a precocious foreshadowing of the engineering geometry in common use today. The writings of Desargues have been consulted in the original French. Extensive passages are quoted and translated, and a number of illustrations from the original texts are reproduced. Supplementary illustrations are also provided. Appendices list the known architectural works of Desargues, his writings and those of his friend and student Bosse which bear upon the exposition of Desargues' methods. / Ph. D.