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#Spherical Geometry

Showing: 15 courses
Coding Train

3D Supershapes and Spherical Geometry

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Explore 3D Supershapes and spherical geometry in Processing and p5.js. Learn to create spheres, generate 3D Supershapes, and transpose them to web browsers using WebGL.
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6 Lesons
2 hours 17 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Floating Bodies and Duality in Spaces of Constant Curvature

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Explores p-affine surface area and floating bodies in curved spaces, extending Meyer & Werner's Euclidean results to spherical and hyperbolic geometries. Examines limiting behavior as curvature approaches zero.
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1 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

Spherical and Elliptic Geometries - Universal Hyperbolic Geometry

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Explore spherical and elliptic geometries, from ancient Greek astronomy to modern concepts. Learn about longitude, latitude, measurement techniques, and key theorems in non-Euclidean spaces.
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7 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

Spherical and Elliptic Geometries - An Introduction

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Explore spherical geometry fundamentals: great circles, antipodal points, triangles, and circles. Learn key concepts and visualize ideas with physical models, connecting to 3D space and Euclidean geometry.
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8 Lesons
32 minutes
On-Demand
Free-Video
Fields Institute

Donald Coxeter and Geometry

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Explore Donald Coxeter's contributions to geometry, including non-Euclidean geometries, higher dimensions, and connections to art and music in this engaging mathematical journey.
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11 Lesons
55 minutes
On-Demand
Free-Video
Mathemaniac

Why All Maps Are Wrong - Theorema Egregium

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Explore Theorema Egregium's geometric proof, revealing why no world map can preserve both area and angles. Understand curvature, spherical areas, and the Gauss map in this mathematical journey.
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8 Lesons
40 minutes
On-Demand
Free-Video
Insights into Mathematics

Sphere Geometry and Complex Analysis - Algebraic Topology Lecture 4

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Explore advanced concepts in sphere geometry, including inversive geometry, Riemann sphere, complex analysis, and projective lines, enhancing understanding of algebraic topology.
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8 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

The Geometry of Surfaces - Algebraic Topology Lecture 20

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Explore the connection between 2D surfaces and classical geometries, focusing on isometries and introducing hyperbolic geometry through circle inversions in the Beltrami Poincare disk model.
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1 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

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Explore the relationship between polyhedron curvature and Euler number using rational formulation. Learn about Harriot's theorem and analyze various polyhedra, including tetrahedron, cube, and dodecahedron.
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13 Lesons
35 minutes
On-Demand
Free-Video
Insights into Mathematics

The Rotation Problem and Hamilton's Discovery of Quaternions - Part 2 - Famous Math Problems 13b

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Explore 3D rotations, their composition, and algebraic representation. Learn about Euler's theorem, vector operations, and the foundations for understanding quaternions in graphics and rocket science.
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10 Lesons
1 hour
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Existence and Stability of Corotational Wave Maps into Perturbed Spheres

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Explore corotational wave maps from Minkowski space to perturbed spheres, examining existence and stability of self-similar solutions in energy-supercritical scenarios.
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1 Lesons
13 minutes
On-Demand
Free-Video
Banach Center

Rigidity of Convex Surfaces in Space-Forms

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Explore rigidity properties of convex surfaces in space-forms, focusing on mathematical concepts and geometric analysis techniques.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Matsuno-Gill Model on the Sphere - Extended Analysis and Applications

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Explore the extended Matsuno-Gill model on a sphere, analyzing its parameters and solutions across different damping and rotation rates. Gain insights into planetary-scale fluid dynamics.
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1 Lesons
36 minutes
On-Demand
Free-Video
Conference GSI

Casimir Dissipation Stabilized Stochastic Rotating Shallow Water Equations on the Sphere

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Explore stochastic rotating shallow water equations on the sphere, focusing on Casimir dissipation stabilization techniques and their applications in geophysical fluid dynamics.
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1 Lesons
23 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Cartesian, Spherical, and Lobachewskian Geometries - Wave Equation - Lecture 3

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Explore Cartesian, spherical, and Lobachewskian geometries, and delve into the wave equation's fundamental role in dynamical theories of physics.
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1 Lesons
1 hour 41 minutes
On-Demand
Free-Video