In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices. Coxeter labels an alternation by a prefixed h, standing for hemi or half. Because alternation reduces all polygon faces to half as many sides, it can only be applied to polytopes with all even-sided faces. An alternated square face becomes a digon, and being degenerate, is usually reduced to a single edge. More generally any vertex-uniform polyhedron or tiling with a vertex configuration consisting of all even-numbered elements can be alternated. For example, the alternation of a vertex figure with 2a.2b.2c is a.3.b.3.c.3 where the three is the number of elements in this vertex figure. A special case is square faces whose order divides in half into degenerate digons. So for example, the cube 4.4.4 is alternated as 2.3.2.3.2.3 which is reduced to 3.3.3, being the tetrahedron, and all the 6 edges of the tetrahedra can also be seen as the degenerate faces of the original cube. (Wikipedia).
From playlist Transformations of the Number Line
From playlist Transformations of the Number Line
From playlist Transformations of the Number Line
Solving a multi-step equation by multiplying by the denominator
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solving an equation with variables on both side and one solution
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist Solve Multi-Step Equations......Help!
From playlist Transformations of the Number Line
Jessica Purcell - Lecture 1 - Hyperbolic knots and alternating knots
Jessica Purcell, Monash University Title: Hyperbolic knots and alternating knots Hyperbolic geometry has been used since around the mid-1970s to study knot theory, but it can be difficult to relate geometry of knots to a diagram of a knot. However, many results from the 1980s and beyond s
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Are the lines parallel? (BECARFUL)
TabletClass Math: https://tcmathacademy.com/ How to determine if two lines are parallel using alternate interior angles. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes:
From playlist GED Prep Videos
Angles (part 3) | Angles and intersecting lines | Geometry | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry-angles/old-angles/v/angles-part-3 Angles formed when a transversal intersects parallel lines. Watch the next lesson: https://www.khanacad
From playlist Angles and intersecting lines | Geometry | Khan Academy
Parallel Lines and Transversals – Find the Angles
How to find the angles of a parallel lines and transversal - alternate interior angles, vertical angles, corresponding angles, same side interior angles. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand mat
From playlist GED Prep Videos
Hyperbolic Knot Theory (Lecture - 2) by Abhijit Champanerkar
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Adding and Subtracting Linear Expressions
This video is about Adding and Subtracting Linear Expressions
From playlist Expressions and Equations
Parallel Lines and Transversals (Geometry Made Easy)
Parallel lines and transversal form many angles in geometry. These angles include vertical angles, alternate interior angles, same side interior angles and corresponding angles.
From playlist Geometry
Understand Parallel Lines and Transversals in 15 min
https://tabletclass-academy.teachable.com/p/tabletclass-math-geometry1 This video explains the geometry topic of parallel Lines and transversals.
From playlist Geometry
Proof: Diagonals of a parallelogram bisect each other | Quadrilaterals | Geometry | Khan Academy
Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-angles-of-parallelogram-congruent?utm_source=YT&utm_medium=Desc&utm_c
From playlist High School Geometry | High School Math | Khan Academy
Proving Parallel Lines With Two Column Proofs - Geometry, Practice Problems
This geometry video tutorial explains how to prove parallel lines using two column proofs. This video contains plenty of examples and practice problems for you to learn the concept. Geometry Playlist: https://www.youtube.com/watch?v=w8wdKOsUD-4&index=3&list=PL0o_zxa4K1BVkRxCZubMPcCJ5Q5Qw
From playlist Geometry Video Playlist
Messing with Mona: Introduction to Geometric Transformations
Link: https://www.geogebra.org/m/KFtdRvyv
From playlist Geometry: Dynamic Interactives!
Proof: Opposite sides of parallelogram congruent | Quadrilaterals | Geometry | Khan Academy
Proving that a figure is a parallelogram if and only if opposite sides are congruent Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-diagonals-of-a-parallelogram-bisect-each-other?utm_source=YT&utm_medium=Desc&utm_campaig
From playlist Mathematics I | High School Math | Khan Academy