Non-Euclidean Geometry Courses and Certifications

Insights into Mathematics

Apollonius and Harmonic Conjugates - Universal Hyperbolic Geometry 2 - NJ Wildberger

Explore harmonic conjugates in geometry, including their relation to circles, conics, and quadrangles. Learn about harmonic ranges, pencils, and vector combinations in this advanced mathematical discussion.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Insights into Mathematics

Apollonius and Polarity - Universal Hyperbolic Geometry

Explore Apollonius' polarity concept in hyperbolic geometry, focusing on the crucial role of circles and their relationship to points and lines in the projective plane.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Insights into Mathematics

Universal Hyperbolic Geometry - NJ Wildberger

Discover a revolutionary approach to hyperbolic geometry, simplifying complex concepts using high school algebra and projective geometry, with connections to Einstein's special relativity theory.

• YouTube
• 23 minutes
• On-Demand
• Free Video

The Royal Institution

The Secrets of Einstein's Unknown Equation - Spacetime Curvature and General Relativity

Explore Einstein's lesser-known equation on spacetime curvature, its significance in general relativity, and its applications in understanding gravity, black holes, and the universe's structure.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Michael Penn

The Strangest Circle - Mathematical Curiosities and Paradoxes

Explore a fascinating mathematical concept: a circle with peculiar properties that challenge conventional geometry, offering unique insights into advanced mathematical thinking.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Explore cutting-edge developments in hyperbolic geometry and group theory through expert lectures and hands-on minicourses from leading mathematicians worldwide.

• YouTube
• 1 day 6 hours 39 minutes
• On-Demand
• Free Video

ICTP Mathematics

Advanced School and Workshop on Geometry of Discrete Actions

Explore discrete group actions in geometry through hyperbolic spaces, complex dynamics, Teichmüller theory, and holomorphic dynamics with leading mathematicians.

• YouTube
• 1 day 16 hours 38 minutes
• On-Demand
• Free Video

Insights into Mathematics

Applications of Rational Spherical Trigonometry - Universal Hyperbolic Geometry Lecture 43

Exploring rational spherical trigonometry through a specific spherical triangle example, demonstrating its connection to hyperbolic geometry and three-dimensional space.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Insights into Mathematics

Relativistic Velocity and Core Circles in Rational Geometry - Lecture 4

Exploring relativistic velocity and core circles in rational geometry, extending Paul Miller's protractor concept to projective quadrance and comparing Euclidean and relativistic geometries.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Insights into Mathematics

Trigonometric Laws in Hyperbolic Geometry Using Geometer's Sketchpad - Universal Hyperbolic Geometry 26

Explore trigonometric laws in hyperbolic geometry using Geometer's Sketchpad. Learn about Pythagoras' theorem, Triple quad formula, Spread law, and Cross law with practical examples and custom tools.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Insights into Mathematics

Reflections in Hyperbolic Geometry - Universal Hyperbolic Geometry Lecture 14

Explore reflections in hyperbolic geometry, comparing with Euclidean counterparts. Discover unique properties and surprising connections to circle geometry in this advanced mathematical exploration.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Insights into Mathematics

Null Points and Null Lines in Universal Hyperbolic Geometry - Lecture 12

Explore null points and null lines in universal hyperbolic geometry, including rational and projective parametrization, joins and meets theorems, and a triply nil triangle.

• YouTube
• 36 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1

Introducción a la geometría hiperbólica: modelos, propiedades y trigonometría. Exploración de los modelos del semiplano superior, disco y hiperboloide, con énfasis en geodésicas, ángulos y curvatura constante.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Hyperbolic Surfaces and Their Teichmüller Spaces - Lecture 2

Explore hyperbolic surfaces, Teichmüller spaces, and surface group representations. Delve into geometric structures, developing maps, and holonomy representations in this advanced mathematics lecture.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

TipTut

Make an Impossible 3-Worlds-In-1 Pyramid in Blender - Eevee & Cycles

Learn to create a mind-bending 3-worlds-in-1 pyramid using Blender's view layers and compositing techniques. Master non-Euclidean geometry in both Eevee and Cycles rendering engines.

• YouTube
• 22 minutes
• On-Demand
• Free Video