# 6-orthoplex

In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces. It has two constructed forms, the first being regular with Schläfli symbol {34,4}, and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,3,31,1} or Coxeter symbol 311. It is a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 6-hypercube, or hexeract. (Wikipedia).

Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger

In classical hyperbolic geometry, orthocenters of triangles do not in general exist. Here in universal hyperbolic geometry, they do. This is a crucial building block for triangle geometry in this subject. The dual of an orthocenter is called an ortholine---also not seen in classical hyperb

From playlist Universal Hyperbolic Geometry

Orthogonality and Orthonormality

We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one

From playlist Mathematics (All Of It)

What are four types of polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Seminar on Applied Geometry and Algebra (SIAM SAGA): Dustin Mixon

Title: Packing Points in Projective Spaces Speaker: Dustin Mixon Date: Tuesday, March 8, 2022 at 11:00am Eastern Abstract: Given a compact metric space, it is natural to ask how to arrange a given number of points so that the minimum distance is maximized. For example, the setting of the

From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

Linear Algebra: Orthonormal Basis

Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/ More on unit vectors: https://www.youtube.com/watch?v=C6EYJVBYXIo

From playlist Basics: Linear Algebra

Linear Algebra - Lecture 39 - Orthonormal Sets

In this lecture, we discuss orthonormal sets of vectors. We investigate matrices with orthonormal columns. We also define an orthogonal matrix.

From playlist Linear Algebra Lectures

finding the orthocenter - coordinate geometry

In this video, I show how to find the coordinates of the orthocenter. I go through a step by step process of writing the equation of the 3 altitudes of a triangle. Then using algebra to find the point of intersection of the 3 altitudes. The concepts of linear equations and perpendicular li

From playlist Geometry

Example of Fourier's Trick

Linear Algebra: Given an orthonormal basis of R^n, we present a quick method for finding coefficients of linear combination in terms of the basis. We also give an analogue of Parseval's Identity, which relates these coefficients to the squared length of the vector.

What are the names of different types of polygons based on the number of sides

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

What is a concave polygon

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

This Problem Stumped Vietnamese Students - Solution To Viral Puzzler

This problem was asked to students in Vietnam. Can you figure it out? Place the numbers 1 to 9, using each number once, to make a valid equation. In this video I explain how you can solve this problem logically. UPDATE: I've posted all 136 solutions, at the end of this description, found

From playlist Viral Math Memes

Graphing a Rational Function, Harder Example

Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Graphing a Rational Function, Harder Example. Here we have a 3rd degree polynomial divided by a 2nd degree polynomial making for some extra algebra steps to s

From playlist All Videos - Part 2

Exponent example 2 | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy

From playlist Foundations | Algebra Basics | Khan Academy

AP Calculus BC: Lesson 6.7: Area and Arc Length of Polar Curves

AP Calculus BC Unit 6: Planar Curves Lesson 7: Area and Arc Length of Polar Curves

From playlist AP Calculus BC

A-Level Maths: N1-14 [Binomial Distribution: Introducing Binomial Probabilities]

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 Statistics

Math: What Every 5th Grader Should Know (8 of 25) Ch 3: Multiplication: Multiply by "6"

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the rules and tricks of multiplying by “6”. Next video in this series can be seen at: https://youtu.be/KJMjiixccNw

Regulation of Metabolism

MIT 5.07SC Biological Chemistry, Fall 2013 View the complete course: http://ocw.mit.edu/5-07SCF13 Instructor: John Essigmann In this final video, Professor Essigmann considers cell to organ and organ to organism metabolism. He reviews the key organ systems and hormones, and describes the

From playlist MIT 5.07SC Biological Chemistry I, Fall 2013

Using fractions as division to create mixed numbers | Fractions | 5th grade | Khan Academy

Understand the relationship between fractions, division, and mixed numbers. Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-div-frac-whole-word-prob/v/dividing-a-whole-number-by-a-fraction-word-problem?utm_source=YT&utm_medium=Desc