Platonic solid

How to Construct a Dodecahedron

How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode

From playlist Platonic Solids

How to construct a Regular Hexahedron (Cube)

How the greeks constructed the 3rd platonic solid: the regular hexahedron Source: Euclids Elements Book 13, Proposition 15 https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry

From playlist Platonic Solids

Images in Math - Platonic Solids

This video is about the different platonic solids.

From playlist Images in Math

Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

9MAT Platonic Solids

Just letting some of you know about platonic solids - very cool

From playlist 2013 Measurement for Year 9 and Year 10

How to construct an Octahedron

How the greeks constructed the 2nd platonic solid: the regular octahedron Source: Euclids Elements Book 13, Proposition 14. In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Plat

From playlist Platonic Solids

The classification of Platonic solids I | Universal Hyperbolic Geometry 53 | NJ Wildberger

Euclid showed in the last Book XIII of the Elements that there were exactly 5 Platonic solids. Here we go through the argument, but using some modern innovations of notation: in particular instead of talking about angles that sum to 360 degrees around the circle, or perhaps 2 pi radians, w

From playlist Universal Hyperbolic Geometry

The remarkable Platonic solids I | Universal Hyperbolic Geometry 47 | NJ Wildberger

The Platonic solids have fascinated mankind for thousands of years. These regular solids embody some kind of fundamental symmetry and their analogues in the hyperbolic setting will open up a whole new domain of discourse. Here we give an introduction to these fascinating objects: the tetra

From playlist Universal Hyperbolic Geometry

Plato: Biography of a Great Thinker

The Greek philosopher Plato was a student of Socrates, and teacher of Aristotle. He wrote on a wide variety of topics including Politics, Aesthetics, Cosmology, and Epistemology. To this day, we refer to “Platonic Love” and “Platonic Ideals.” Plato’s search for knowledge and truth formed t

From playlist It Starts With Literacy

Math Mornings at Yale: Asher Auel - Wallpaper, Platonic Solids, and Symmetry

The Platonic solids-the tetrahedron, cube, octahedron, dodecahedron, and icosahedron-are some of the most beautiful and symmetric geometrical objects in 3-dimensional space. Their mysteries started to be unraveled by the ancient Greeks and still fascinate us today. In 1872, the German geom

From playlist Math Mornings at Yale

Perfect Shapes in Higher Dimensions - Numberphile

Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions. More links & stuff in full description below ↓↓↓ Extra footage (Hypernom): https://youtu.be/unC0Y3kv0Yk More videos with with Carlo: http://bit.ly/carlo_videos Edit and animation by Pete McPartlan Pete

From playlist Carlo Séquin on Numberphile

AlgTop8: Polyhedra and Euler's formula

We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and the flow down a sphere. This is the eighth lecture in this beginner's

From playlist Algebraic Topology: a beginner's course - N J Wildberger

AlgTop9: Applications of Euler's formula and graphs

We use Euler's formula to show that there are at most 5 Platonic, or regular, solids. We discuss other types of polyhedra, including deltahedra (made of equilateral triangles) and Schafli's generalizations to higher dimensions. In particular in 4 dimensions there is the 120-cell, the 600-c

From playlist Algebraic Topology: a beginner's course - N J Wildberger

How to Construct an Icosahedron

How the greeks constructed the icosahedron. Source: Euclids Elements Book 13, Proposition 16. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices. It is one of the five Platonic solids, and the one with the most faces. https://www.etsy.com/lis

From playlist Platonic Solids

MegaFavNumbers: 4,608,000

#MegaFavNumbers The Making of The Elements is a series in which I am documenting the process of my latest musical composition, which will fulfill my senior Honors project at Belmont University. This video is part of the MegaFavNumbers project, and documents the total number of combinatio

From playlist MegaFavNumbers

5 Platonic Solids - Numberphile

Why are there just five platonic solids (and what are platonic solids!?) More links & stuff in full description below ↓↓↓ The solids are the tetrahedron, hexahedron (cube), octahedron, icosahedron and dodecahedron. Featuring Katie Steckles and James Grime - https://twitter.com/stecks and

From playlist Women in Mathematics - Numberphile

Plato's Theory of Ideas or Forms

A few clips which provide a pretty good explanation of Plato's Theory of Forms or Ideas. I believe all the clips come from the Multimedia Encyclopedia of the Philosophical Sciences, but I'm not 100% sure, it has been such a long time since I originally put it together on the previous chann

From playlist Socrates & Plato