Lecture
Surfaces and Curvature in Geometry
In course
DEMO: commodo dolore duis cillum
Proident adipisicing ut ipsum culpa est sunt est ipsum do ut anim exercitation nulla non. Non amet deserunt ea exercitation aliqua ut qui duis amet adipisicing. Adipisicing proident proident ullamco sit pariatur veniam enim occaecat fugiat minim adipisicing. Culpa enim adipisicing ea anim excepteur do minim do sunt ipsum enim sit laboris laborum. Reprehenderit amet dolore dolor tempor cupidatat ullamco cupidatat dolor sit dolor voluptate non nostrud esse. Exercitation excepteur minim ad sit in quis ea et culpa fugiat aute labore proident. Excepteur Lorem et proident aute proident.
Description
This lecture covers the concept of surfaces with constant null curvature, focusing on their development and properties. It explains how these surfaces can be easily manufactured by cutting them flat and discusses the construction of networks of curves in hyperbolic paraboloids. The presentation also delves into the rules between two lines, specifically parabolas and hyperbolas, within the parabolic hyperboloid. The instructor demonstrates the projection of these curves onto a normal plane and the determination of critical points. The lecture concludes with an exercise on deepening the understanding of these concepts.
Instructor
magna ea consequat
Enim esse incididunt esse consequat sit veniam eiusmod culpa deserunt Lorem. Eiusmod aute commodo reprehenderit nostrud nostrud pariatur dolore eiusmod amet incididunt eiusmod minim. Dolor nisi aliquip magna aute commodo Lorem qui dolor proident nulla velit. Amet pariatur ipsum enim culpa ut non incididunt enim sunt labore non.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (46)
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Surfaces in Geometry
Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Surfaces in Geometry II
Explores geometric surfaces, rules between shapes, and architectural applications.
Gothic Surfaces: Analysis and Construction
Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.