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Faces, Facets and Vertices
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Related lectures (27)
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.
Convex Concave Configuration
Demonstrates the process of including beams and correcting orientations for complex configurations.
Shadows: Proper and Cast Shadows in Descriptive Geometry
Covers proper and cast shadows in descriptive geometry with practical examples and exercises.
Symmetries of Regular Polyhedra
Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.
Harmonic Ratio in Geometry
Explores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.
Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Untitled
Symmetry in Geometry
Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Linear constraints, Feasible directions
MOOC: Optimization: principles and algorithms - Linear optimization
Explores feasible directions in optimization algorithms and how to determine them.
2D Case: Polynomial Encroaching
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Covers the 2D case of polynomial encroaching and vertices of polyhedra.
Regular Polyhedra: Definitions and Symmetries
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Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Basic Solutions and Polyhedra
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Explores extreme points, vertices, and basic feasible solutions in polyhedra, emphasizing their properties and construction.
Convex Polyhedra and Linear Programs
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Explores convex polyhedra, linear programs, and their optimization importance.
Separating Hyperplanes: Theory and Applications
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Explores separating hyperplanes for two sets X and Y, discussing conditions for separation and implications of convexity.
Integer Cones
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Covers the concept of integer cones and Carathéodory's theorem with illustrative examples.
Untitled
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Sparsest Cut: ARV Theorem
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Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Linear and Integer Programming
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Covers the theory of linear and integer programming, focusing on the integer hull and rational polyhedra.
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