The class of diagonal magic cubes is the second of the six magic cube classes (when ranked by the number of lines summing correctly), coming after the simple magic cubes. In a diagonal magic cube of order m, all 6m of the diagonals in the m planes parallel to the top, front, and sides of the cube must sum correctly. This means that the cube contains 3m simple magic squares of order m.Because the cube contains so many magic squares, it was considered for many years to be "perfect" (although other types of cubes were also sometimes called a "perfect magic cube"). It is now known that there are three higher classes of cubes. The (proper) diagonal magic cube has a total of 3m2 + 6m + 4 correctly summing lines and 3m + 6 simple magic squares. The new definition perfect magic cube has a total of 13m2 correct lines and 9m pandiagonal magic squares. (Wikipedia).
This geometry video tutorial explains how to calculate the diagonal length of a cube. Geometry Playlist: https://www.youtube.com/watch?v=w8wdKOsUD-4&index=3&list=PL0o_zxa4K1BVkRxCZubMPcCJ5Q5QwZdEM Access to Premium Videos: https://www.patreon.com/MathScienceTutor Facebook: https://ww
From playlist Geometry Video Playlist
The Diagonalization of Matrices
This video explains the process of diagonalization of a matrix.
From playlist The Diagonalization of Matrices
Every operator on a finite-dimensional complex vector space has a matrix (with respect to some basis of the vector space) that is a block diagonal matrix, with each block itself an upper-triangular matrix that contains only one eigenvalue on the diagonal.
From playlist Linear Algebra Done Right
This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com
From playlist Introduction to Matrices and Matrix Operations
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From playlist Geometry
Linear Algebra - Lecture 35 - Diagonalizable Matrices
In this lecture, we discuss what it means for a square matrix to be diagonalizable. We prove the Diagonalization Theorem, which tells us exactly when a matrix is diagonalizable.
From playlist Linear Algebra Lectures
Determine if a set of points makes up a rectangle using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Erik Demaine - New Ways to Fold a Cube from Paper - CoM Oct 2021
What shapes of paper can fold into a unit cube? This seemingly simple question has many interesting answers and open problems, depending on what type of folding is allowed. In particular, we’ll see a new way to fold a 3 × 3 square into a unit cube using horizontal, vertical, and diagonal c
From playlist Celebration of Mind 2021
The Parker Square - Numberphile
Matt Parker reveals his pride and joy - the mysterious Parker Square! More links & stuff in full description below ↓↓↓ Merch: https://numberphile.creator-spring.com/listing/the-parker-square More magic square videos: http://bit.ly/MagicSquareVideos Matt Parker: https://www.youtube.com/s
From playlist Matt Parker (standupmaths) on Numberphile
A double feature on magic squares featuring Bachet's algorithm embedded in the Korean historical drama series Tree with deep roots and the Lee Sallow's geomagic squares. 00:00 Intro 02:52 Part 1: The king's magic squares 09:40 Proof 18:22 The order 5 and 7 magic squares 19:17 Part 2: Geom
From playlist Recent videos
Bronna Butler - Math Glass - CoM Apr 2021
Abstract: Can an ancient, non-crystalline, transparent amorphous solid, such as glass, illustrate recent mathematical discoveries, and perhaps create compelling puzzles? Glass can be formed in a variety of ways, for example, it can be a result of volcanic action, lightning striking sand,
From playlist Celebration of Mind 2021
Yossi Elran - All you need is paper! - CoM Oct 2020
It’s amazing how much math you can do with nothing but a sheet of paper. Just grab a few sheets of paper from your printer, and join me! I’ll challenge you to fold maximum-area geometric shapes, solve some intriguing puzzles, make some impossible objects and get you thinking out of the bo
From playlist Celebration of Mind
Determining if a set of points makes a parallelogram or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Determine if a set of points is a parallelogram using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Linear elasticity theory. Part 1. Stress tensor
Part1 of our derivation of a more general theory of linear elasticity. In this lecture we introduce the idea of the stress tensor. Video lectures created for Mechanics of Solids and Structures course at Olin College.
From playlist Lectures for mechanics of solids and structures
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
Lec 32 | MIT 18.085 Computational Science and Engineering I, Fall 2008
Lecture 32: Convolution (part 2); filtering License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008
Solving Systems of Differential Equations with Eigenvalues and Eigenvectors
We now show how to solve a generic matrix system of linear ordinary differential equations (ODEs) using eigenvalues and eigenvectors. This is one of the most powerful techniques in linear systems theory, with applications in stability theory and control. Code examples are given in Pyt
From playlist Engineering Math: Differential Equations and Dynamical Systems
Number of Diagonals in a Polygon
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook â–º https
From playlist Geometry
This video explores the eigenvalues and eigenvectors of a matrix "A". This is one of the most important concepts in linear algebra. The eigenvectors represent a change of coordinates in which the "A" matrix becomes diagonal, with entries given by the eigenvalues. This allows us to easil
From playlist Engineering Math: Differential Equations and Dynamical Systems