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#Platonic Solids

Showing: 22 courses
Centre International de Rencontres Mathématiques

Le Petit Prince sur le Dodécaèdre

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Explorez les liens fascinants entre "Le Petit Prince" et la géométrie du dodécaèdre dans cette conférence mathématique captivante.
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1 Lesons
45 minutes
On-Demand
Free-Video
Insights into Mathematics

The Language of Geometry - Math Terminology

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Comprehensive review of geometry terminology for university students, covering Euclidean concepts, shapes, transformations, 3D geometry, and coordinate systems. Includes subtitles and supplementary materials.
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9 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

A Brief History of Geometry - Sociology and Pure Mathematics

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Explore geometry's evolution from ancient times to 1400 AD, covering key theorems, Platonic solids, and applications in astronomy, surveying, and construction. Highlights include Islamic contributions to spherical geometry.
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7 Lesons
27 minutes
On-Demand
Free-Video
Insights into Mathematics

The Classification of Platonic Solids I - Universal Hyperbolic Geometry

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Exploring the classification of Platonic solids using modern notation and turn angles. Examines planar, spherical, and higher-dimensional cases, highlighting mathematical constructions and challenges in Euclid's proof.
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7 Lesons
28 minutes
On-Demand
Free-Video
Insights into Mathematics

Petrie Polygons of a Polyhedron - Universal Hyperbolic Geometry

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Explore Petrie polygons on polyhedra, focusing on Platonic solids. Learn about tesselations, Schlafli symbols, and orthogonal projections in this geometric journey.
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7 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

The Remarkable Platonic Solids II- Symmetry - Universal Hyperbolic Geometry

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Explore the symmetries of Platonic solids through rigid motions and rotations, examining tetrahedron, cube, and dodecahedron symmetries while connecting rotations to directed edges and discussing duality.
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8 Lesons
31 minutes
On-Demand
Free-Video
Insights into Mathematics

The Remarkable Platonic Solids I - Universal Hyperbolic Geometry

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Explore the fascinating world of Platonic solids, their symmetry, history, and mathematical properties. Learn about Euclid's contributions and Euler's fundamental relation for polyhedra.
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9 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

The Klein Bottle and Projective Plane - Algebraic Topology - NJ Wildberger

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Explore the Klein bottle, projective plane, and Platonic solids in this algebraic topology lecture. Learn about Euler's formula and its proof using triangulation and sphere flow.
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8 Lesons
40 minutes
On-Demand
Free-Video
Insights into Mathematics

Polyhedra and Euler's Formula - Algebraic Topology

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Explore Platonic solids, Euler's formula, and spherical geometry in this engaging lecture on algebraic topology, featuring proofs and insights into fundamental mathematical concepts.
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12 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

Greek Geometry - Math History - NJ Wildberger

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Explore ancient Greek geometry, from Euclid's Elements to Apollonius' conics, covering key concepts, constructions, and the Platonic solids in this comprehensive lecture on mathematical history.
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10 Lesons
51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Geometry and Topology of Surfaces - Lecture 1

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Introductory lecture on geometry and topology of surfaces, covering polyhedrons, Euler numbers, and the Gauss-Bonnet theorem. Includes exercises and Q&A for university lecturers.
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13 Lesons
57 minutes
On-Demand
Free-Video
ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1

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Explore the deep connections between the Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more in this accessible mathematical lecture.
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19 Lesons
1 hour 17 minutes
On-Demand
Free-Video
ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 4

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Exploración profunda de las identidades Rogers-Ramanujan, su conexión con el icosaedro y sus implicaciones en teoría de números, formas modulares, combinatoria y teoría de campos conformes.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Numberphile

Perfect Shapes in Higher Dimensions

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Explore platonic solids and regular polytopes in higher dimensions with Carlo Sequin, delving into complex geometric concepts and their fascinating properties.
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1 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

Platonic Solids and Their Symmetries - Dynamics on Graphs 10

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Explore Platonic solids' symmetries, focusing on rotations and reflections. Discover connections to exceptional structures in mathematics and physics, laying groundwork for understanding 4D regular solids.
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7 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

Applications of Euler's Formula and Graphs in Algebraic Topology

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Explore Euler's formula applications to Platonic solids, polyhedra, and higher dimensions. Learn about planar graphs and delve into advanced geometric concepts in algebraic topology.
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1 Lesons
42 minutes
On-Demand
Free-Video
Insights into Mathematics

Canonical Structures Inside the Platonic Solids - Tetrahedron Symmetry - Lecture 49

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Explore the hidden symmetries within the tetrahedron, uncovering a surprising three-fold structure and its connection to group theory in this insightful mathematical journey.
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6 Lesons
27 minutes
On-Demand
Free-Video
Insights into Mathematics

Euler's Relation Between Vertices, Edges, and Faces of Platonic Solids - Famous Math Problems 15

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Explore Euler's famous formula relating vertices, edges, and faces of Platonic solids. Discover its historical context, proof, and significance in modern topology.
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1 Lesons
36 minutes
On-Demand
Free-Video
Galileo Galilei Institute

The Mathematics of the Football

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Explore the fascinating intersection of mathematics and football, uncovering geometric principles and physical laws that shape the beautiful game.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Is the Universe Geometric or Algebraic? by Minhyong Kim

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Explore the interplay between geometry and algebra in understanding the universe, from ancient concepts to modern physics, with insights on perception, reality, and mathematical foundations.
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32 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Institute for Quantum Computing

Platonic Ququart Benchmarking - Characterizing 4-Level Quantum Systems

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Explore ququart systems, implement character randomized benchmarking, and assess quantum gate errors using platonic solid symmetries and NMR techniques.
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1 Lesons
27 minutes
On-Demand
Free-Video
MITCBMM

The Platonic Representation Hypothesis

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Explore the Platonic Representation Hypothesis with MIT's Phillip Isola, delving into philosophical concepts and their applications in modern computational theory.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video