In six-dimensional geometry, a truncated 6-cube (or truncated hexeract) is a convex uniform 6-polytope, being a truncation of the regular 6-cube. There are 5 truncations for the 6-cube. Vertices of the truncated 6-cube are located as pairs on the edge of the 6-cube. Vertices of the bitruncated 6-cube are located on the square faces of the 6-cube. Vertices of the tritruncated 6-cube are located inside the cubic cells of the 6-cube. (Wikipedia).
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.
From playlist 3D printing
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/L5R
From playlist 3D printing
Geometry: Ch 4 - Geometric Figures (16 of 18) The Right Circular Cone Truncated
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the right circular truncated cone, and explain the equations of its surface area and volume. Next video in this series can be seen at: https://youtu.be/zNxXORWmA2E
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
How to construct a Tetrahedron
How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th
From playlist Platonic Solids
How Many Faces, Edges And Vertices Does A Cube Have?
How Many Faces, Edges And Vertices Does A Cube Have? Here we’ll look at how to work out the faces, edges and vertices of a cube. We’ll start by counting the faces, these are the flat surfaces that make the cube. A cube has 6 faces altogether - all square in shape. Next we’ll work out ho
From playlist Faces, edges and Vertices of 3D shapes
How to take the odd root of a negative integer, cube root
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
How to take the cube root of negative 64 using prime factorization, cuberoot(-64)
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
CTNT 2020 - Non-vanishing for cubic L-functions - Alexandra Florea
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Frits Beukers: A supercongruence and hypergeometric motive
Abstract : In this lecture I discuss joint work with Eric Delaygue on supercongruences for certain truncated hypergeometric functions. There will also be a discussion of the hypergeometric motives that underlie these congruences. Recording during the meeting "Algebra, Arithmetic and Combi
From playlist Number Theory
Simplifying the Cube Root of a 64 Using the Identify Element, Cube Root(64)
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
Subderivatives and Lagrange's Approach to Taylor Expansions | Algebraic Calculus Two | Wild Egg
The great Italian /French mathematician J. L. Lagrange had a vision of analysis following on from the algebraic approach of Euler (and even of Newton before them both). However Lagrange's insights have unfortunately been largely lost in the modern treatment of the subject. It is time to re
From playlist Algebraic Calculus Two
The k-Poly Algebra and truncations | Algebraic Calculus Two | Wild Egg Maths
We introduce finite algebraic approximations to the algebra of polynumbers called k-polys, where k is a natural number. The key notion here is that of an algebra: which is a linear or vector space with an additional (associative) multiplication that distributes with the linear structure o
From playlist Algebraic Calculus Two
Gradually varied flow computations RK method
Advanced Hydraulics by Dr. Suresh A Kartha,Department of Civil Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Advanced Hydraulics | CosmoLearning.org Civil Engineering
Bi Polynumbers and Tangents to Algebraic Curves | Algebraic Calculus One | Wild Egg
We introduce the important technology of defining, and computing the tangent line to an algebraic curve at a point lying on it. We start with a discussion on bi polynumbers, which are two dimensional arrays that are equivalent to polynomials in two variables, but without us having to fret
From playlist Algebraic Calculus One from Wild Egg
Take the cube root of a number using the product of cubed numbers, cuberoot(250)
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
AlgTop8: Polyhedra and Euler's formula
We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and the flow down a sphere. This is the eighth lecture in this beginner's
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Visual Group Theory, Lecture 2.3: Symmetric and alternating groups
Visual Group Theory, Lecture 2.3: Symmetric and alternating groups In this lecture, we introduce the last two of our "5 families" of groups: (4) symmetric groups and (5) alternating groups. The symmetric group S_n is the group of all n! permutations of {1,...,n}. We see several different
From playlist Visual Group Theory
Liouville's number, the easiest transcendental and its clones (corrected reupload)
This is a corrected re-upload of a video from a couple of weeks ago. The original version contained one too many shortcut that I really should not have taken. Although only two viewers stumbled across this mess-up it really bothered me, and so here is the corrected version of the video, ho
From playlist Recent videos
Best Practices For Creating Game Prototypes In Unity | Session 12 | #unity | #gamedev
Don’t forget to subscribe! This project series is about best practices for creating game prototypes in Unity. This project will teach you all the tools you need to create quick and dirty prototypes in general as a game developer, but the examples will be in Unity. We'll be seeing some g
From playlist Creating Game Prototypes In Unity
How to Construct a Dodecahedron
How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode
From playlist Platonic Solids