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Concept

Polyhedron

Related lectures (29)

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Regular Polyhedra: Symmetries & Generation

Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.

Shadows: Proper and Cast Shadows in Descriptive Geometry

Covers proper and cast shadows in descriptive geometry with practical examples and exercises.

Linear Constraints and Vertices MOOC: Optimization: principles and algorithms - Linear optimization

Explores the significance of vertices in optimization and outlines a method to identify them using linear algebra.

Linear constraints, Degeneracy MOOC: Optimization: principles and algorithms - Linear optimization

Covers linear constraints and degeneracy in polyhedrons, focusing on basic solutions and degenerate cases.

Linear Constraints: Basic Solutions MOOC: Optimization: principles and algorithms - Linear optimization

Explores basic solutions in linear constraints and the equivalence with vertices.

The transhipment problem: Total unimodularity MOOC: Optimization: principles and algorithms - Network and discrete optimization

Covers the transhipment problem, optimal solutions, and total unimodularity in matrices.

Convex Concave Configuration

Demonstrates the process of including beams and correcting orientations for complex configurations.

Document de FOND PAVILLON: Énoncé du Rendu 2a

Provides detailed guidelines for a pavilion project, emphasizing effective resource utilization.

Designing Pavilion Structures

Explores the design process of pavilion structures, emphasizing the creation of a topological polyhedron as the foundation document.

Abstract Interpretation in Stainless

Explores abstract interpretation in Stainless, demonstrating its application in program verification and discussing future directions for the project.

Polygons & Polyhedra: Regular & Starred

Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.

Harmonic Ratio in Geometry

Explores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.

Platonic Solids: Misinterpretations and Correspondences

Explores misinterpretations of Platonic solids and their correspondence with elements, emphasizing the importance of rigor in mathematical integration into architectural culture.

Symmetries in Space

Introduces the fundamentals of geometry and explores symmetries in space.

Cellular Approximation Theorem

Focuses on proving the Cellular Approximation Theorem, introducing polyhedra and piecewise linear maps.

Symmetries of Regular Polyhedra

Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.

Symmetry in Geometry

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Regular Polyhedra: Definitions and Symmetries Log in to Mediaspace to watch this video

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Convex Sets: Theory and Applications Log in to Mediaspace to watch this video

Explores convex sets, their properties, and applications in optimization.