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
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.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
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
👉 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
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/positive_and_zero_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-al
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
From playlist iLecturesOnline: What Every 5th Grader Should Know about Math
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
From playlist 6th Grade | Get Ready for Grade Level | Khan Academy
All Prime Numbers are Nearly Divisible by 6 ! [ Epic NUMBERPHILE Reacc video :0 ]
GET 15% OFF EVERYTHING! THIS IS EPIC! https://teespring.com/stores/papaflammy?pr=PAPAFLAMMY Help me create more free content! =) https://www.patreon.com/mathable AC Playlist: https://www.youtube.com/watch?v=jmD1CWzHjzU&list=PLN2B6ZNu6xmdvtm_DdFUaHIK_VB84hG_m Here's quite an interesting
From playlist Advent Calendar 2018
How to Find Orthocenter Given 3 Vertices (Algebraically)
Learn how to find the orthocenter algebraically given 3 vertices of a triangle in this math video tutorial by Mario's Math Tutoring. We discuss what the orthocenter is and how to find it. We make use of the slope equation as well as the point slope form of a line in this lesson to find t
From playlist Geometry