Polyhedra

Icositetrahedron

In geometry, an icositetrahedron is a polyhedron with 24 faces. There are many symmetric forms, and the ones with highest symmetry have chiral icosahedral symmetry: Four Catalan solids, convex: * Triakis octahedron - isosceles triangles * Tetrakis hexahedron - isosceles triangles * Deltoidal icositetrahedron - kites * Pentagonal icositetrahedron - pentagons 27 uniform star-polyhedral duals: (self-intersecting) * Small rhombihexacron, Great rhombihexacron * Small hexacronic icositetrahedron, Great hexacronic icositetrahedron * Great deltoidal icositetrahedron * Great triakis octahedron (Wikipedia).

Icositetrahedron
Video thumbnail

Octahedron Fractal Graph

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/19O1

From playlist 3D printing

Video thumbnail

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

Video thumbnail

levitron

This levitron manufactured by my friend İzzet Özgöçmen. We enjoyed playing with it.

From playlist Izzet Özgöçmen

Video thumbnail

Into the heart of ICARUS

Dive into the heart of ICARUS with this 360 immersive video. ICARUS is a neutrino hunter, a giant detector designed to find extremely elusive particles and tell us more about them and about our universe. Born in Italy at INFN - Istituto Nazionale di Fisica Nucleare, it came to CERN for a

From playlist 360° videos

Video thumbnail

What's an Octagon? Geometry Terms and Definitions

An introduction to the octagon, a fundamental geometric shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patre

From playlist Socratica: The Geometry Glossary Series

Video thumbnail

Group theory 27: The icosahedral group

This lecture is part of an online math course on group theory. The lecture is about a few examples of groups, in particular the icosahedral group. In it we see that the icosahedral group is the only simple group of order 60, and show that all larger alternating groups are simple.

From playlist Group theory

Video thumbnail

il Large Hadron Collider (Italiano)

Una panoramica sul progetto LHC ed i suoi campi di ricerca.

From playlist Italiano

Video thumbnail

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

Video thumbnail

d24 deltoidal icositetrahedron

See http://thedicelab.com/ for more details. These dice are available at http://www.mathartfun.com/shopsite_sc/store/html/DiceLabDice.html

From playlist Dice

Related pages

Icosahedral symmetry | List of uniform polyhedra | Small hexacronic icositetrahedron | Small rhombihexacron | Great triakis octahedron | Great hexacronic icositetrahedron | Pentagonal icositetrahedron | Polyhedron | Triakis octahedron | Geometry | Deltoidal icositetrahedron | Great deltoidal icositetrahedron | Catalan solid | Tetrakis hexahedron | Great rhombihexacron