8-polytopes

Rectified 8-cubes

In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube. There are unique 8 degrees of rectifications, the zeroth being the 8-cube, and the 7th and last being the 8-orthoplex. Vertices of the rectified 8-cube are located at the edge-centers of the 8-cube. Vertices of the birectified 8-cube are located in the square face centers of the 8-cube. Vertices of the trirectified 8-cube are located in the 7-cube cell centers of the 8-cube. (Wikipedia).

Rectified 8-cubes
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Ex 2: Factor a Sum or Difference of Cubes

This video provides and example of how to factor a sum or difference of cubes with common factors. Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com

From playlist Factoring a Sum or Difference of Cubes

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Rectified Tesseract

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2Uh3

From playlist 3D printing

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Adding and Subtracting Polynomials

adding and subtracing polynomials

From playlist Common Core Standards - 8th Grade

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Geometry: Ch 4 - Geometric Figures (1 of 18) Squares and Rectangles

Visit http://ilectureonline.com for more math and science lectures! In this video I will define the square and rectangle, explain the equations of their parameters, areas, and diagonals. Next video in this series can be seen at: https://youtu.be/yDgpmhYrKw4

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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#MegaFavNumbers: 4x4x4 Snake Cube Square Enumeration

How many uniques snakes exist that can form both an 8x8 square and a 4x4x4 cube? #MegaFavNumbers https://hal.archives-ouvertes.fr/file/index/docid/172308/filename/ham_chains_v1.pdf https://iopscience-iop-org.ezproxy.library.wisc.edu/article/10.1088/1751-8113/49/36/369501/pdf

From playlist MegaFavNumbers

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Elliptic measures and the geometry of domains - Zihui Zhao

Analysis Seminar Topic: Elliptic measures and the geometry of domains Speaker: Zihui Zhao Affiliation: Member, School of Mathematics Date: February 14, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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p- groups - 1 by Heiko Dietrich

DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra

From playlist Group Theory and Computational Methods

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Christina Sormani - Sequences of manifolds with lower bounds on their scalar curvature

If one has a weakly converging sequence of manifolds with a uniform lower bound on their scalar curvature, what properties of scalar curvature persist on the limit space? What additional hypotheses might be added to provide stronger controls on the limit space? What hypotheses are requ

From playlist Not Only Scalar Curvature Seminar

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Difference of Two Cubes - Practice 3

Another practice set with the difference of two cubes

From playlist Algebra

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Higher order rectifiability and Reifenberg parametrizations - Silvia Ghinassi

Analysis Seminar Topic: Higher order rectifiability and Reifenberg parametrizations Speaker: Silvia Ghinassi Affiliation: Member, School of Mathematics Date: March 9, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Quantifying nonorientability and filling multiples of embedded curves - Robert Young

Analysis Seminar Topic: Quantifying nonorientability and filling multiples of embedded curves Speaker: Robert Young Affiliation: New York University; von Neumann Fellow, School of Mathematics Date: October 5, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Fourth Dimension rotation of 4D spheres, tetrahedrons, and cubes

Rotation of 4D tetrahedrons, tesseracts, and spheres. My Patreon account: https://www.patreon.com/EugeneK

From playlist Physics

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AI Weekly News #8 October 13th, 2019

0:50 Overview 3:05 PyTorch 1.3 https://ai.facebook.com/blog/pytorch-13-adds-mobile-privacy-quantization-and-named-tensors/ 6:30 The Gradient PyTorch vs. Tensorflow https://thegradient.pub/state-of-ml-frameworks-2019-pytorch-dominates-research-tensorflow-dominates-industry/ 8:20 AllenAI PyT

From playlist AI Research Weekly Updates

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Examples: Subtraction of Decimals

This video provides 4 examples of subtracting decimals. Complete video list: http://www.mathispower4u.com

From playlist Adding and Subtracting Decimals

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Level Sets of Weakly Lipschitz Functions - Bobby Wilson

Seminar in Analysis and Geometry Topic: Level Sets of Weakly Lipschitz Functions Speaker: Bobby Wilson Affiliation: University of Washington Date: March 22, 2022  We will discuss the regularity properties and size of generic level sets of functions that satisfy weak local Lipschitz condi

From playlist Mathematics

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J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 1)

Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar

From playlist Rencontres du GDR AFHP 2019

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The Rectangle Area Puzzle - The Trick To Solve Without Formulas

This is a video I made a long time ago but forgot to publish! Consider this puzzle as a bite-size holiday bonus. A rectangle is divided into 4 rectangles, and you know the areas of 3 of them are 16, 13, and 39. What is the area of the other rectangle? Watch the video for a solution. My bl

From playlist Math Puzzles, Riddles And Brain Teasers

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Xavier Tolsa: The weak-A∞ condition for harmonic measure

Abstract: The weak-A∞ condition is a variant of the usual A∞ condition which does not require any doubling assumption on the weights. A few years ago Hofmann and Le showed that, for an open set Ω⊂ℝn+1 with n-AD-regular boundary, the BMO-solvability of the Dirichlet problem for the Laplace

From playlist Analysis and its Applications

Related pages

7-cube | 8-cube | Uniform 8-polytope | Convex polytope | Schläfli symbol | Rectification (geometry) | Coxeter group | Geometry | Harold Scott MacDonald Coxeter | 8-orthoplex | Vertex figure