This uniform polyhedron compound is a composition of 5 great icosahedra, in the same arrangement as in the compound of 5 icosahedra. The triangles in this compound decompose into two orbits under action of the symmetry group: 40 of the triangles lie in coplanar pairs in icosahedral planes, while the other 60 lie in unique planes. (Wikipedia).
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
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
33. Bacteria and Antibiotic Resistance
MIT 7.016 Introductory Biology, Fall 2018 Instructor: Barbara Imperiali View the complete course: https://ocw.mit.edu/7-016F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63LmSVIVzy584-ZbjbJ-Y63 Professor Imperiali goes through the mechanisms of how bacteria develop
From playlist MIT 7.016 Introductory Biology, Fall 2018
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
Ionic Solids, Molecular Solids, Metallic Solids, Network Covalent Solids, & Atomic Solids
This chemistry video tutorial provides a basic introduction into solids. It explains how to classify a solid as ionic solids, molecular solids or atomic solids. There are 3 different types of atomic solids that you need to be familiary with - metallic solids, Group 8A solids, and network
From playlist New AP & General Chemistry Video Playlist
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
Periodic Table Part 4: Boron Group (B, Al, Ga, In, Tl, Nh)
It's time to check out Group 13 on the periodic table, the boron group. This includes boron, aluminum, gallium, indium, thallium, and nihonium. What can we say about their properties, reactivities, and applications? Let's find out! Watch the whole Inorganic/Organometallic Chemistry playli
From playlist Inorganic/Organometallic Chemistry
Local structure in nucleation of hard spheres in experiments and simulation by Paddy Royall
Conference and School on Nucleation Aggregation and Growth URL: https://www.icts.res.in/program/NAG2010 DATES: Monday 26 July, 2010 - Friday 06 Aug, 2010 VENUE : Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru DESCRIPTION: Venue: Jawaharlal Nehru Centre for Advance
From playlist Conference and School on Nucleation Aggregation and Growth
Bridges 2018 talk - Visualizing hyperbolic honeycombs
This is a talk I gave at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 27th July 2018, about my JMA paper with Roice Nelson: https://www.tandfonline.com/doi/abs/10.1080/17513472.2016.1263789 Many high resolution images at hyperbolichoneycombs.org Ray-m
From playlist Talks
Growth of Order and its role in the Dynamics of Supercooled Liquids by Smarajit Karmakar
Program Entropy, Information and Order in Soft Matter  ORGANIZERS Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE & TIME 27 August 2018 to
From playlist Entropy, Information and Order in Soft Matter
Colloidal Glasses: Bringing Glass Physics Into Focus by Rajesh Ganapathy
ICTS COLLOQUIUM Colloidal Glasses: Bringing Glass Physics Into Focus SPEAKER: Rajesh Ganapathy (Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore) DATE: 14 DECEMBER 2020 VENUE: Online ABSTRACT: Colloidal suspensions consist of micrometer-sized particles that remain s
From playlist ICTS Colloquia
Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51
The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str
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
Science & Technology Q&A for Kids (and others) [Part 100]
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Live CEOing Ep 163: Geometric Computing in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Geometric Computing in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Atomistically inspired origami
Oxford Mathematics Public Lectures - Richard James - Atomistically inspired origami The World population is growing at about 80 million per year. As time goes by, there is necessarily less space per person. Perhaps this is why the scientific community seems to be obsessed with folding t
From playlist Oxford Mathematics Public Lectures
1.1 IB Chemistry terminology: Atoms, elements, compounds, molecules, formula units, mixtures
1.1 IB Chemistry terminology: Atoms, elements, compounds, molecules, formula units, mixtures Chemistry terminology: Atoms elements compounds molecules formula units mixtures and a lot more! Everything you need for IB Chemistry: http://www.mrwengibchemistry.com/ 0:18 Matter 0:28 Mixture v
From playlist Topic 1 Stoichiometry - register for free www.mrwengibchemistry.com
Phi and the TRIBONACCI monster
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today's video is about explaining a lot of the miracles associated with the golden ratio phi, the Fibona
From playlist Recent videos
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane