Lattice points | Tessellation | Mesh generation

Regular grid

A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). Its opposite is irregular grid. Grids of this type appear on graph paper and may be used in finite element analysis, finite volume methods, finite difference methods, and in general for discretization of parameter spaces. Since the derivatives of field variables can be conveniently expressed as finite differences, structured grids mainly appear in finite difference methods. Unstructured grids offer more flexibility than structured grids and hence are very useful in finite element and finite volume methods. Each cell in the grid can be addressed by index (i, j) in two dimensions or (i, j, k) in three dimensions, and each vertex has coordinates in 2D or in 3D for some real numbers dx, dy, and dz representing the grid spacing. (Wikipedia).

Regular grid
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Gridlines in nonstandard coordinate systems.

Description: We use gridlines to conveniently plot points in the standard coordinate system all the time. But in a coordinate system defined by some other basis, there is a natural analogue of coordinate systems. Learning Objectives: 1) Given a basis, sketch a few gridlines 2) Find a poi

From playlist Older Linear Algebra Videos

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Grid Network - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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What Exactly are Grid Lines in Coordinate Systems?

I always put up grid lines when I represent vectors or transformations in Linear Algebra. But what, exactly, are they? Now that we have established what coordinate systems are in the previous videos, I zoom in to study grid lines. This is particularly useful in funkier subspaces, say of R^

From playlist Linear Algebra (Full Course)

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A Dev's Guide to CSS Grid

There's plenty of buzz about CSS Grid, but from a distance, it can seem intimidating - especially for developers who don't often write CSS. Grid feels daunting for good reason: the Grid layout module added over 30 new properties, values, and units to CSS! While all of those additions are

From playlist Web Design: CSS / SVG

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Area of a Regular Polygon: 2 Conceptual Approaches

Links: https://www.geogebra.org/m/aHvgEm9v https://www.geogebra.org/m/wxJFqM9P

From playlist Geometry: Dynamic Interactives!

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Basic Drawing: 3pt. Cityscape #8

Continuing...

From playlist THE BASICS

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What does this prove? Some of the most gorgeous visual "shrink" proofs ever invented

Bit of a mystery Mathologer today with the title of the video not giving away much. Anyway it all starts with the quest for equilateral triangles in square grids and by the end of it we find ourselves once more in the realms of irrationality. This video contains some extra gorgeous visual

From playlist Recent videos

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The Graph Removal Lemma - Jacob Fox

Jacob Fox Massachusetts Institute of Technology November 8, 2010 Let H be a fixed graph with h vertices. The graph removal lemma states that every graph on n vertices with o(nh) copies of H can be made H-free by removing o(n2) edges. We give a new proof which avoids Szemeredi's regularity

From playlist Mathematics

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Using the Difference of Squares Factoring Pattern to Simplify a Mental Math Calculation

Check out the main channel @polymathematic ! Today's suspiciously nice mental math calculation is an example of a factoring pattern called the difference of two squares (or sometimes just the difference of squares). Subscribe: https://bit.ly/polymathematic | Enable ALL push notificatio

From playlist polymathematic #shorts

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Determining if a set of points makes a parallelogram or not

👉 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

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Timothy Gowers: The afterlife of Szemerédi's theorem

Abstract: Szemerédi's theorem asserts that every set of integers of positive upper density contains arbitrarily long arithmetic progressions. This result has been extraordinarily influential, partly because of the tools that Szemerédi introduced in order to prove it, and partly because sub

From playlist Abel Lectures

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Ahmed Ratnani: Towards complex and realistic tokamaks geometries in computational plasma physics

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Physics

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Protein Folding Characterization via Persistent Homology - Marcio Gameiro

Workshop on Topology: Identifying Order in Complex Systems Topic: Protein Folding Characterization via Persistent Homology Speaker: Marcio Gameiro Affiliation: University of Sao Paolo Date: April 7, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Scikit Learn Workshop with Andreas Mueller 3-30-2015

Scikit-learn is a machine learning library in Python, that has become a valuable tool for many data science practitioners. This talk will cover some of the more advanced aspects of scikit-learn, such as building complex machine learning pipelines, model evaluation, parameter search, and o

From playlist talks

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Further adventures in stereographic projection

These stereographic projection models are available from my Shapeways shop: https://www.shapeways.com/shops/henryseg?section=Stereographic+Projection The torch/flashlight is a Mini Maglite AAA LED flashlight (http://maglite.com/shop/mini-maglite-led-2-cell-aaa-flashlight.html).

From playlist 3D printing

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Andreas Mueller - Machine Learning with Scikit-Learn

PyData Amsterdam 2016 Description Scikit-learn has emerged as one of the most popular open source machine learning toolkits, now widely used in academia and industry. scikit-learn provides easy-to-use interfaces to perform advances analysis and build powerful predictive models. The tutor

From playlist talks

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Möbius strip with CSS trigonometric functions

Live demo https://codepen.io/thebabydino/pen/wvybyMo If the work I've been putting out since early 2012 has helped you in any way or you just like it, please consider supporting it to help me continue and stay afloat. You can do so in one of the following ways: * you can be a cool cat 😼🎩

From playlist CSS variables

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HUMAN WATT POWER Stationary Bike Grid Tie Inverter Solar Electric Bicycle anti-islanding

Grid tie inverter and human power using a stationary bike and anti-islanding protection explained. FITNESS CLUB BUSINESS IDEA. If a company made a bunch of plug n play bikes to a KW Meter, Users could compete, who produces more power over a week, month, year. Green Gym Solar Fitness Club o

From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS

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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

Related pages

Congruence (geometry) | Unit square | Unstructured grid | Rhombus | Cuboid | Unit cube | Finite volume method | Dimension | Vertex (geometry) | Quadrilateral | Tessellation | Rectangle | Point (geometry) | Parallelogram | Rhombohedron | Graph paper | Logarithmic scale | Parallelepiped | Euclidean space | Integer lattice | Finite difference method