5-polytopes | Honeycombs (geometry)
In four-dimensional Euclidean geometry, the stericated 24-cell honeycomb (or stericated 16-cell honeycomb) is a uniform space-filling honeycomb. It can be seen as a sterication of the regular 24-cell honeycomb, containing 24-cell, 16-cell, octahedral prism, tetrahedral prism, and 3-3 duoprism cells. (Wikipedia).
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/11g4
From playlist 3D printing
These sculptures are joint work with Roice Nelson. They are available from shapeways.com at http://shpws.me/oNgi, http://shpws.me/oqOx and http://shpws.me/orB8.
From playlist 3D printing
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
David Hall - Recipe for a 'bola Honeycombs - G4G13 Apr 2018
Develop a honeycomb grid of integers which becomes the basis for a 3D parabolic polyheda.
From playlist G4G13 Videos
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
Reaching for Infinity Through Honeycombs – Roice Nelson
Pick any three integers larger than 2. We describe how to understand and draw a picture of a corresponding kaleidoscopic {p,q,r} honeycomb, up to and including {∞,∞,∞}.
From playlist G4G12 Videos
Number Theory | Integer Congruence Example 1
We give a few examples involving integer congruence.
From playlist Modular Arithmetic and Linear Congruences
Cyclohexanes: Crash Course Organic Chemistry #7
Hexagons appear all over the natural world from honeycomb to bubbles, and they even appear in organic chemistry! In this episode of Crash Course Organic Chemistry, we're learning all about cyclohexanes, including how rings pucker to relieve strain, the boat and chair conformations, and how
From playlist Organic Chemistry
4. Honeycombs: In-plane Behavior
MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson This session includes a review of honeycombs, and explores the mechanical properties of honeycombs. License: Creative Commons BY-N
From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015
Particle distribution in a honeycomb maze with rounded cells
This simulation shows the particle distribution in a honeycomb maze, which was introduced in the video https://youtu.be/a3ICP1wQyR8 . The walls of each hexagonal cell are part of a same circle which is inscribed in the hexagon. As we have seen in the previous video, particles can spend lon
From playlist Illumination problem
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
MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson Professor Gibson takes questions from students in order to review concepts that will be covered on the midterm exam. License: Crea
From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015
Studies of Magnetic Quantum Disorder on Jeff=1/2 Triangular Lattices by Stephen Wilson
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Supersymmetry on the lattice: Geometry, Topology, and Spin Liquids by Simon Trebst
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Topological Defects Control Collective Dynamics in Active Matter by Masaki Sano
Stochastic Thermodynamics, Active Matter and Driven Systems DATE: 07 August 2017 to 11 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore. Stochastic Thermodynamics and Active Systems are areas in statistical physics which have recently attracted a lot of attention and many intere
From playlist Stochastic Thermodynamics, Active Matter and Driven Systems - 2017
Fano Lineshape of the Optical Phonons in Kitaev Materials by Swetlana Swarup
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
3. Structure of Cellular Solids
MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson The structure of cellular materials, honeycombs and modeling honeycombs are explored in this session. License: Creative Commons BY
From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015
Dance of the bees: Heat map representation of a billiard in a honeycomb maze with rounded corners
The maze featured in this simulation is a honeycomb maze with rounded corners. The circular arcs of a given cell all share the middle point of the hexagon as common center. This seems to slow down the diffusion of the particles through the maze, probably because the billiard in a circle ha
From playlist Illumination problem
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/17d5
From playlist 3D printing
13. Tissue Engineering Scaffolds: Processing and Properties
MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015 View the complete course: http://ocw.mit.edu/3-054S15 Instructor: Lorna Gibson This session covers fabrication, microstructure and mechanical properties of osteochondral scaffold. License: Creative Commons BY-
From playlist MIT 3.054 Cellular Solids: Structure, Properties and Applications, Spring 2015