7-polytopes

A7 polytope

In 7-dimensional geometry, there are 71 uniform polytopes with A7 symmetry. There is one self-dual regular form, the 7-simplex with 8 vertices. Each can be visualized as symmetric orthographic projections in Coxeter planes of the A7 Coxeter group, and other subgroups. (Wikipedia).

A7 polytope
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A-Level Maths: E7-01 [Trig Equations: Solve sin(x) = 1/2 between 0 and 360 degrees]

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From playlist A-Level Maths E7: Trig Equations

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A-Level Maths: B8-04 Functions: One-to-One, Many-to-One, One-to-Many, Many-to-Many

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From playlist A-Level Maths B8: Functions

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A-Level Maths: B7-18 [Graphs: Introducing Reciprocal Graphs of the form y = a/x]

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From playlist A-Level Maths B7: Graphs & Proportion

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A-Level Maths: B7-23 [Graphs: Introducing finding Points of Intersection]

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From playlist A-Level Maths B7: Graphs & Proportion

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A-Level Maths: B7-01 [Graphs: Introducing Cubic Graphs]

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From playlist A-Level Maths B7: Graphs & Proportion

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A-Level Maths: E7-27 [Trig Equations: Solve sin(2x) = 0.8 between 0 and 360 degrees]

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From playlist A-Level Maths E7: Trig Equations

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A-Level Maths: E7-55 Trig Equations: Solve sec(x) = tan(x) between 0 and 2π

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From playlist A-Level Maths E7: Trig Equations

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A-Level Maths: B7-25 [Graphs: Examples of finding Points of Intersection between Two Curves]

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From playlist A-Level Maths B7: Graphs & Proportion

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A-Level Maths: B7-02 [Graphs: Sketching Quadratics, Cubics, Quartics and Quintics]

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ My LIVE Google Doc has the new A-Level Maths specification and

From playlist A-Level Maths B7: Graphs & Proportion

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Stephan Weltge: Binary scalar products

We settle a conjecture by Bohn, Faenza, Fiorini, Fisikopoulos, Macchia, and Pashkovich (2015) concerning 2-level polytopes. Such polytopes have the property that for every facet-defining hyperplane H there is a parallel hyperplane H0 such that H and H0 contain all vertices. The authors con

From playlist Workshop: Tropical geometry and the geometry of linear programming

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Raman Sanyal: Polyhedral geometry of pivot rules

Geometrically, a linear program gives rise to a polyhedron together with an orientation of its graph. A simplex method selects a path from any given vertex to the sink and thus determines an arborescence. The centerpiece of any simplex method is the pivot rule that selects the outgoing edg

From playlist Workshop: Tropical geometry and the geometry of linear programming

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Steffen Borgwardt: The role of partition polytopes in data analysis

The field of optimization, and polyhedral theory in particular, provides a powerful point of view on common tasks in data analysis. In this talk, we highlight the role of the so-called partition polytopes and their studies in clustering and classification. The geometric properties of parti

From playlist Workshop: Tropical geometry and the geometry of linear programming

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Tropical Geometry - Lecture 8 - Surfaces | Bernd Sturmfels

Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)

From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

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Tropical Geometry - Lecture 9 - Tropical Convexity | Bernd Sturmfels

Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)

From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

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James Lee: Semi Definite Extended Formulations and Sums of Squares (Part 1)

The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization

From playlist HIM Lectures 2015

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The quantum query complexity of sorting under (...) - J. Roland - Main Conference - CEB T3 2017

Jérémie Roland (Brussels) / 15.12.2017 Title: The quantum query complexity of sorting under partial information Abstract: Sorting by comparison is probably one of the most fundamental tasks in algorithmics: given $n$ distinct numbers $x_1,x_2,...,x_n$, the task is to sort them by perfor

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Karim Alexander Adiprasito: New Construction for projectively unique polytopes

K. Adiprasitos lecture was held within the framework of the Hausdorff Trimester Program Universality and Homogeneity during the special seminar "Universality of moduli spaces and geometry" (06.11.2013)

From playlist HIM Lectures: Trimester Program "Universality and Homogeneity"

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EEVblog #883 - Orange Pi One vs Raspberry Pi 2

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From playlist Arduino & Microcontrollers

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Alexander Black: Modifications of the Shadow Vertex Pivot Rule

The shadow vertex pivot rule is a fundamental tool for the probabilistic analysis of the Simplex method initiated by Borgwardt in the 1980s. More recently, the smoothed analysis of the Simplex method first done by Spielman and improved upon by Dadush and Huiberts relied on the shadow verte

From playlist Workshop: Tropical geometry and the geometry of linear programming

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A-Level Maths: E7-09 [Trig Equations: Solve 1/cos(x) = 5 between 0 and 360 degrees]

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ My LIVE Google Doc has the new A-Level Maths specification and

From playlist A-Level Maths E7: Trig Equations

Related pages

Uniform 7-polytope | 7-simplex | Schläfli symbol | Geometry | Harold Scott MacDonald Coxeter | Orthographic projection