Lattice points

Hexagonal lattice

The hexagonal lattice or triangular lattice is one of the five two-dimensional Bravais lattice types. The symmetry category of the lattice is wallpaper group p6m. The primitive translation vectors of the hexagonal lattice form an angle of 120° and are of equal lengths, The reciprocal lattice of the hexagonal lattice is a hexagonal lattice in reciprocal space with orientation changed by 90° and primitive lattice vectors of length (Wikipedia).

Hexagonal lattice
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How Many Faces, Edges And Vertices Does A Hexagonal Prism Have?

How Many Faces, Edges And Vertices Does A Hexagonal Prism Have? Here we’ll look at how to work out the faces, edges and vertices of a hexagonal prism. We’ll start by counting the faces, these are the flat surfaces that make the shape. A hexagonal prism has 8 faces altogether - 2 hexagon

From playlist Faces, edges and Vertices of 3D shapes

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Hexagonal Tiling Explained!

There is more than one way to tile the plane. In this video we'll explore hexagonal tiling. Hexagonal tiling can be used to make many cool effects. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode PayPal Donation

From playlist Tools

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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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Chemistry - Liquids and Solids (45 of 59) Crystal Structure: Covalent: Glass

Visit http://ilectureonline.com for more math and science lectures! In this video I explain the glass crystal structure and amorphous solids.

From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS

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Lattice Structures in Ionic Solids

We've learned a lot about covalent compounds, but we haven't talked quite as much about ionic compounds in their solid state. These will adopt a highly ordered and repeating lattice structure, but the geometry of the lattice depends entirely on the types of ions and their ratio in the chem

From playlist General Chemistry

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Waves colliding with a hexagonal grid

This variant of the video https://youtu.be/yt3T4ZaAJas shows a wave interacting with a hexagonal lattice of circular obstacles, as opposed to a square lattice. Here the color scheme represents the wave height instead of the energy density. I realize this makes comparison difficult, but I p

From playlist Mangroves vs tsunamis (sort of)

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HCP crystal structure

Another classic metal structure is HCP, hexagonal close-packed. Where do the atoms touch? Along the basal plane and the central atom in the basal plane sits at the center of 3 atoms above and below. What is the lattice parameter if we know the atomic radius? a=2*R and c/a ratio is defined.

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

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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

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Understanding spin-1 kagome antiferromagnet through Hida model by Brijesh Kumar

Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne

From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism

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Lec 24 | MIT 6.451 Principles of Digital Communication II

Linear Gaussian Channels View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.451 Principles of Digital Communication II

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Bernoulli site percolation on a honeycomb lattice

This new variant of percolation simulation features a hexagonal, or honeycomb lattice. Note that when joining the centers of the hexagons, one obtains a triangular lattice, which is sometimes used to describe this type of configuration. The graph shows the proportion of flooded hexagons (t

From playlist Percolation

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Zinc Blende crystal structure

The zinc blende crystal structure is the structure named for the low-temperature phase of the ceramic ZnS. It is cubic with two interpenetrating FCC lattices. One at the normal position and one at (1/4,1/4,1/4). Another way to think of it is an FCC lattice with half of its tetrahedral inte

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

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Supersolid in the kagome antiferromagnet in a magnetic field by Tsutomu Momoi

Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne

From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism

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Constructing a Hexagon (with a compass)

This video focuses on how to construct a regular hexagon with a compass and straightedge. I also explain the concept of why the construction works by exploring the anatomy of a regular hexagon. If you found this video helpful, please click the LIKE and SUBSCRIBE buttons below, it helps me

From playlist Geometry

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2020 Theory Winter School: Oskar Vafek (pt 2)

Topic: Topology and interactions in twisted bilayer graphene narrow bands Part 2 For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school

From playlist 2020 Theory Winter School

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Number of clusters for Bernoulli site percolation on a honeycomb lattice

This simulation shows percolation on a hexagonal, or honeycomb lattice, like the video https://youtu.be/z1-ru_OrPqc . The difference is that here, instead of showing only one percolation cluster, originating from the left side of the lattice, all clusters are shown in different colors. The

From playlist Percolation

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Cluster size distribution for Bernoulli site percolation on a honeycomb lattice

This variant of the video https://youtu.be/vdyborErvjs also shows all clusters for percolation on a hexagonal, or honeycomb lattice, but the clusters are now color-coded according to their size. Closed hexagons are shown in dark blue, while open clusters are shown in purple, pink, orange o

From playlist Percolation

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Theory of a Hexamerized Quantum Paramagnet Exhibiting Magnetization Plateaus by Brijesh kumar

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)

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Area of an interior hexagon (visual proof) - plus a bonus area!

This is a short, animated visual proof of a relatively recent proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has been created from the region obtained by connecting vertices of the outer hexagon to appropriate edge midpoints of the outer

From playlist Proofs Without Words

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Stanislav Smirnov, Percolation crossings and complex analysis

2018 Clay Research Conference, CMI at 20

From playlist CMI at 20

Related pages

Point group | Wallpaper group | Bravais lattice | Reciprocal lattice | Square lattice | Coxeter notation | Symmetry | Centered hexagonal number | Voronoi diagram | Hexagonal tiling | Eisenstein integer | Orbifold notation