In geometry, the orthobifastigium (digonal orthobicupola), is formed by gluing together two triangular prisms on their square faces, but without twisting. With regular faces, it has coplanar faces, so it is a limiting case of a Johnson solid. More generally the square can be isosceles trapezoids. It is topologically a self-dual polyhedron and can also be called an elongated octahedron and self-dual octahedron. These polyhedra resemble the dual gyrobifastigium in that both shapes have eight vertices and eight faces, with the faces forming a belt of four quadrilaterals separating two pairs of triangles from each other. However, in the dual gyrobifastigium the two pairs of triangles are twisted with respect to each other while in the orthobifastigium they are not. (Wikipedia).
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)
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
Orthogonal and Orthonormal Sets of Vectors
This video defines orthogonal and orthonormal sets of vectors.
From playlist Orthogonal and Orthonormal Sets of Vectors
Math 060 Fall 2017 111317C Orthonormal Bases
Motivation: how to obtain the coordinate vector with respect to a given basis? Definition: orthogonal set. Example. Orthogonal implies linearly independent. Orthonormal sets. Example of an orthonormal set. Definition: orthonormal basis. Properties of orthonormal bases. Example: Fou
From playlist Course 4: Linear Algebra (Fall 2017)
Orthonormal bases. The Gram-Schmidt Procedure. Schuur's Theorem on upper-triangular matrix with respect to an orthonormal basis. The Riesz Representation Theorem.
From playlist Linear Algebra Done Right
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
Orthogonal + orthonormal vectors
What are orthogonal and orthonormal vectors? Find out here! Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/EqfOfx0Z9N
From playlist Introduction to Vectors
Phylum Gastrotricha: Hairybellies
Gastrotrichs are odd little creatures that have cilia on their bellies. They are found all over the world, making up an important part of the meiofauna of various ecosystems. What's their anatomy? How do they reproduce? Let's learn all about these little critters! Script by Ryan Helcoski
From playlist Zoology
Ornithoscelida: What Now? (Your Dinosaurs Are Wrong Synapisode #4)
Were's moving to a new YT channel! Find it here: https://www.youtube.com/c/YourDinosaursAreWrong Part 2 of 2. What can we learn from the choices researchers made when testing this new phylogeny? Find us on our new social media pages as well, where we post updates and other fun things:
From playlist Your Dinosaurs Are Wrong
Ortogonalización y ortonormalización (Teorema de Gram-Schmidt) #SoME1
Be sure to ACTIVATE ENGLISH SUBTITLES!!! Also, English translations for both text-based scenes can be found (with timestamps) here: https://drive.google.com/drive/folders/1Zd5nR-gg3SkqA-hROpJZGpdlCVWJZnA5?usp=sharing. In this video, we will see how to obtain an orthogonal or orthonormal s
From playlist Summer of Math Exposition Youtube Videos