In geometry, a corner-point grid is a tessellation of a Euclidean 3D volume where the base cell has 6 faces (hexahedron). A set of straight lines defined by their end points define the pillars of the corner-point grid. The pillars have a lexicographical ordering that determines neighbouring pillars. On each pillar, a constant number of nodes (corner-points) is defined. A corner-point cell is now the volume between 4 neighbouring pillars and two neighbouring points on each pillar. Each cell can be identified by integer coordinates , where the coordinate runs along the pillars, and and span each layer. The cells are ordered naturally, where the index runs the fastest and the slowest. Data within the interior of such cells can be computed by trilinear interpolation from the boundary values at the 8 corners, 12 edges, and 6 faces. In the special case of all pillars being vertical, the top and bottom face of each corner-point cell are described by bilinear surfaces and the side faces are planes. Corner-point grids are supported by most reservoir simulation software, and has become an industry standard. (Wikipedia).
Concurrence of Medians (2 of 2: Proof via coordinate geometry)
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From playlist Further Linear Relationships
Overview of points lines plans and their location
👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
Find the midpoint between two points w(–12,–7), T(–8,–4)
👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv
From playlist Points Lines and Planes
Determine the midpoint of two points on a line graph
👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv
From playlist Points Lines and Planes
CCSS How to label collinear and coplanar points
👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
CCSS How to Label a Line, Line Segment and Ray
👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
What is the midpoint formula and how do you find the midpoint between
👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv
From playlist Points Lines and Planes
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
Name the opposite rays in the given figure
👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
Why We Care About Functions #SoME2
Made for 3Blue1Brown's Summer of Mathematical Exposition #SoME2 Many people are taught that functions are mathematical objects which take in an input, and somehow transform it into an output. This understanding only views what functions "do" to individual inputs, and while not wrong, we t
From playlist Summer of Math Exposition 2 videos
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
Coding Math: Episode 42 - Isometric 3D Part II
3D layout strategies and simple character interaction. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath
From playlist Episodes
Heegaard Floer Homology and Legendrian Knots = Vera Vertesi
Vera Vertesi Massachusetts Institute of Technology; Member, School of Mathematics October 5, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
From playlist Inkscape for teachers
This video is for Magic Egg Mega enthusiasts. If you just want an Inkscape file containing a completed magic egg, download any of my Magic Egg Inkscape files from www.maths-pro.com (see the "Geoff's Inkscape files" link). However - if you wish to see the exact specifications of a Magic Eg
From playlist Inkscape for teachers
Today's puzzle is by one of our most favourite authors, Phistomefel! Just for a change it's not a sudoku but a little logic problem. At first it looks impossible, can you find the trick to get started?! Play the puzzle on either of these links: https://cracking-the-cryptic.web.app/sudok
From playlist Phistomefel Puzzles
CSS hosting plans interface (no SVG, no images other than CSS gradients)
Live demo https://codepen.io/thebabydino/pen/zYpxBaV 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
How to determine the midpoint between two points on a coordinate axis
👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv
From playlist Points Lines and Planes
Solving the Listener no 4,482 (by Zero)
Mark his explains his solve of this entertaining Listener: A Paper Construction by Zero
From playlist Listener crossword guides