Concept

Tetrahedron

Related lectures (22)

Vector Calculus: 3D Orientation and Cross Product

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.

Molecular Geometry: Tetrahedron Abstracts

Covers the concept of molecular geometry, focusing on the tetrahedron shape and the repulsion between linked atoms.

Explores manipulation of 3D arrays, barycenters, shape matrices, Jacobians, eigendecomposition, and visualization in elastic solids.

Symmetry & Boundary Conditions

Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.

Regular Polyhedra: Definitions and Symmetries

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

Shape Preservation: Optimization

Delves into shape preservation through minimizing elastic energy and optimizing centroid projection.

Space Trusses & Frames

Covers space trusses, frames, and machines, emphasizing equilibrium analysis and structural design principles.

Projection in Descriptive Geometry

Explores projection in Descriptive Geometry, emphasizing alignment and parallelism in spatial representations.

Coordination Chemistry: Ligands and Geometries

Covers coordination numbers, common ligands, and preferred geometries in coordination chemistry, emphasizing the spatial distribution between ligands and the role of d⁸ electron configurations.

Approximation of Ellipses by Ovals

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Matsubara Dynamics: Theory and Spectra

Explores mean-field Matsubara dynamics theory, rovibrational spectroscopy, and spurious instantons in spectra analysis.

Elastic Deformation: Material Properties

Explores material properties, stress, strain, and deformation gradient in elastic deformation.

Geometric Projections: Orthogonal and Monge Projections

Covers orthogonal and Monge projections in descriptive geometry, focusing on geometric properties and visualization techniques.

Symmetry in Finite Element Models

Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.

Make it stand

Focuses on determining the stability of geometric objects and achieving static equilibrium.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Orthogonal Base Change

Explores orthogonal base change in linear algebra, focusing on matrices and transformations.

Continuum Mechanics: Introduction

Introduces the fundamental concepts of Continuum Mechanics and discusses the density of flux and mass conservation.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Interpretation of Entropy

Explores the concept of entropy expressed in bits and its relation to probability distributions, focusing on information gain and loss in various scenarios.