In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol {3,5,5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is constructed by 5 icosahedra around each edge in a pentagrammic figure. The vertex figure is a great dodecahedron. (Wikipedia).
Group theory 28: Groups of order 120, 168
This lecture is part of an online math course on group theory. It discusses some examples of groups of order 120 or 168: the binary icosahedral group, the symmetric group, and the symmetries of the Fano plane.
From playlist Group theory
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
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
Chemistry - Liquids and Solids (32 of 59) Crystal Structure: Seven Types of Unit Cells
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the 7 types of unit cells.
From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/68hu
From playlist 3D printing
From playlist Linear Algebra Ch 6
Sudoku Colorings of a 16-cell Pre-Fractal – Hideki Tsuiki
This is a joint work with Yasuyuki Tsukamoto. 16-cell is a 4-dimensional polytope with a lot of beautiful properties, in particular with respect to cubic projections of a fractal based on it. We define SUDOKU-like colorings of a 3D cubic lattice which is defined based on properties of a
From playlist G4G12 Videos
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2A3R
From playlist 3D printing
Rhombofoam in Zome – Scott Vorthmann
Rhombofoam is a pattern that fills 3D space in all the ways that a golden rhombohedron does, while forming dodecahedral and 16-sided cells that have the topology of foam: three cells around each edge, and four around each vertex. The result is a foam model that has the symmetries of a quas
From playlist G4G12 Videos
Joint work with Saul Schleimer. Shapeways shop: http://shpws.me/rcuu
From playlist 3D printing
This is lecture 9 of an online mathematics course on groups theory. It covers the quaternions group and its realtion to the ring of quaternions.
From playlist Group theory
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/nFtC.
From playlist 3D printing
The physics of virus self-assembly by Vinothan N. Manoharan
COLLOQUIUM : THE PHYSICS OF VIRUS SELF-ASSEMBLY SPEAKER : Vinothan N. Manoharan (Harvard University, US) DATE : 05 April 2021 VENUE : Online Colloquium ABSTRACT Simple viruses consist of RNA and proteins that form a shell (called a capsid) that protects the RNA. The capsid is highly
From playlist ICTS Colloquia
algebraic geometry 39 Du Val singularities
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses the Du Val singularites, and sketches how to desingularize the E8 Du Val singularity.
From playlist Algebraic geometry I: Varieties
Virus structure and classification | Cells | MCAT | Khan Academy
Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/viruses/v/viral-replicaiton-lytic-vs-lysogenic?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/prokaryotes-bacteria/v/bacterial-genetic-reco
From playlist Cells | MCAT | Khan Academy
GT20.2 Sylow Theory for Simple 60
EDIT: At 6:50, 1, 3, 5, 7 should be 1, 3, 7, 9. At 9:35, n3 should be n2. Abstract Algebra: Using Sylow theory, we show that any simple, non-abelian group with 60 elements is isomorphic to A_5, the alternating group on 5 letters. As an application, we show that A_5 is isomorphic to t
From playlist Abstract Algebra
Mod-01 Lec-12 Surface Effects and Physical properties of nanomaterials
Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.
From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org
