Lecture

Conicité Parabolique

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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 continues the exploration of conicity by analyzing a second case, focusing on a parabolic conicity characterized by faces cutting a sphere at a convex angle. The instructor demonstrates how to address issues arising from non-converging edges and introduces additional constraints to transform the vertex into a cone, aligning the faces parallel to the cone's axis.

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

Ontological neighbourhood

Mathematics

Geometry: Euclidean geometry

Related concepts (21)

Parabola

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from the directrix and the focus.

Cone

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex. Depending on the author, the base may be restricted to be a circle, any one-dimensional quadratic form in the plane, any closed one-dimensional figure, or any of the above plus all the enclosed points.

Convex polygon

In geometry, a convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is a simple polygon (not self-intersecting). Equivalently, a polygon is convex if every line that does not contain any edge intersects the polygon in at most two points. A strictly convex polygon is a convex polygon such that no line contains two of its edges.

Angle

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays. Angles are also formed by the intersection of two planes; these are called dihedral angles. Two intersecting curves may also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Spherical segment

In geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes. It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum. The surface of the spherical segment (excluding the bases) is called spherical zone. If the radius of the sphere is called R, the radii of the spherical segment bases are r_1 and r_2, and the height of the segment (the distance from one parallel plane to the other) called h, then the

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