MATH-126: Geometry for architects II

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Lectures in this course (64)

Surfaces with Variable Curvature

Explores surfaces with variable curvature, discussing their construction and properties.

Surfaces with Variable Curvature

Explores surfaces with variable curvature, analyzing Gaussian and mean curvature, distinguishing convex and concave regions.

Surfaces and Curvature in Geometry

Explores surfaces with variable curvature and the profound impact of curvature sign on geometric properties.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Surfaces and Curvature in 3D Modeling

Explores surfaces and curvature in 3D modeling, covering zero curvature, variable curvature, and constant canonical curvatures.

Geometric Principles in Architecture: Hyperboloids and Paraboloids

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

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.

Geometric Transformations: Projective Geometry Fundamentals

Covers the fundamentals of projective geometry and its applications in architecture.

Gothic Surfaces: Evolution and Construction Techniques

Explores the evolution of Gothic surfaces in architecture, focusing on construction techniques and innovative solutions developed over time.

Historical Overview of Perspective Techniques in Geometry

Explores the evolution of perspective techniques from Antiquity to the Renaissance, highlighting key figures and their contributions to geometry and representation.

Gothic Surfaces: Analysis and Construction

Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.

Geometry II: Modern Geometric Transformations

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Gothic Architecture: Surfaces and Curvature

Delves into the intricate geometry of Gothic architecture, exploring surfaces with variable and constant curvature and the historical evolution of vaults.

Introduction to Projections

Introduces the basics of geometry projections, including isometric and modern perspectives, and their historical context.

Historical Overview: Antiquity & Renaissance

Explores the evolution of representation techniques from Antiquity to the Renaissance, analyzing different perspectives on projection and perspective.

Historical Overview of Perspective in Art

Explores the historical evolution of perspective in art, from ancient times to the Renaissance.

Geometric Transformations: Introduction and History

Explores the historical evolution of geometric transformations, from the Renaissance to modern times.

Projective Geometry: Historical Overview

Explores the historical development of projective geometry and the contributions of key figures like Alberti and Piero della Francesca.

Projective Geometry: Fundamentals and Applications

Explores the fundamentals of projective geometry and its practical applications in solving geometric problems.

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