Lecture

Hyperbolic Conicity

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In course

AR-211: Stereotomy

La Stéréotomie est l'art de concevoir et fabriquer des volumes complexes en pierre et des assemblages en bois. Ce cours propose une réinterprétation de la Stéréotomie avec différents outils, une réflexion sur la géométrie, les processus de fabrication, les ...

Description

This lecture covers the hyperbolic conicity case, where the instructor demonstrates the process of transforming a pavilion roof into a conical shape to address structural issues, ensuring that all faces converge properly.

Instructors (5)

Marie-Pierre Zufferey

Diplôme d'Architecture à l'EPFL en 1988 (prix SIA, section Vaud, du meilleur travail pratique de diplôme). Collaboration avec plusieurs bureaux d'architecture et, en parallèle, rédaction d'une thèse de doctorat suivie de l'obtention en 1992 du titre de Docteur ès Sciences. Bureau indépendant de 1996 à 2008; enseignement dans plusieurs écoles (dessin technique, peinture, couleurs). De 1999 à 2004, première assistante chez les professeurs Arduino Cantàfora (CRE) et Georges Abou Jaoudé (LIV, cours théorique, visualisation et représentation informatique). De 2005 à 2011, collaboratrice scientifique et chargée de cours auprès du professeur A. Cantàfora (CRE, chaire de représentation et expression) : enseignement pratique du dessin, peinture, et taille de la pierre, et théorique, analyse d'images, techniques de représentation, modes de communication, auprès des étudiants d'architecture de différents niveaux; rédaction de documentation pédagogique (cahiers d'appui des cours). Charge de cours pour une Unité d'Enseignement ENAC intitulée "Lectures du paysage par le biais de l'image et de l'art" avec Robert Ireland de 2006 à 2008. Responsable d'une nouvelle Unité d'Enseignement ENAC sur "les murs de soutènement urbains", printemps 2009 et 2010, avec O. Burdet, A. Parriaux, J-L. Moret. Participation ponctuelle en 2011, 2013 et 2014, pour l'UE-ENAC "Learning from vernacular", du professeur Pierre Frey sur la pierre et les traces de la main dans l'architecture vernaculaire. Recherche personnelle en cours sur les socles à la Renaissance italienne et française, en lien avec les professeurs Volker Hoffmann (Würzburg) et Roberto Gargiani (EPFL). Domaines d'intérêt spécifique: l'architecture à la Renaissance; la taille de la pierre et la stéréotomie; le dessin d'observation scientifique, la peinture et la gravure; la philosophie.

Bernard Cache

Sebastian Duque Mahecha

Teaching & PhD Courses Stereotomy AR-211 Stereotomy is the art of designing and crafting complex stone volumes and wooden assemblies. This course offers a reinterpretation of Stereotomy with various tools, a reflection on geometry, manufacturing processes, modes of representation, visualization, and communication.

Ignacio Ferrer Perez-Blanco

Official source

Related concepts (28)

Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: For any given line R and point P not on R, in the plane containing both line R and point P there are at least two distinct lines through P that do not intersect R. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) The hyperbolic plane is a plane where every point is a saddle point.

Geometry

Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

Differential geometry

Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky.

Elliptic geometry

Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel lines since any two lines must intersect. However, unlike in spherical geometry, two lines are usually assumed to intersect at a single point (rather than two). Because of this, the elliptic geometry described in this article is sometimes referred to as single elliptic geometry whereas spherical geometry is sometimes referred to as double elliptic geometry.

Euclidean geometry

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated earlier, Euclid was the first to organize these propositions into a logical system in which each result is proved from axioms and previously proved theorems.

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