7-polytopes

Truncated 7-cubes

In seven-dimensional geometry, a truncated 7-cube is a convex uniform 7-polytope, being a truncation of the regular 7-cube. There are 6 truncations for the 7-cube. Vertices of the truncated 7-cube are located as pairs on the edge of the 7-cube. Vertices of the bitruncated 7-cube are located on the square faces of the 7-cube. Vertices of the tritruncated 7-cube are located inside the cubic cells of the 7-cube. The final three truncations are best expressed relative to the 7-orthoplex. (Wikipedia).

Truncated 7-cubes
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Regular polyhedra

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

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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

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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

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Identifying Geometric Solids

u07_l3_t1_we1 Identifying Geometric Solids

From playlist Developmental Math

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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

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"Cube" Cube

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

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Squares in cubes

Calculating the side of a square that is resting inside a cube.

From playlist Middle School - Worked Examples

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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

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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

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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

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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

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The Log Tables of Napier, Burgi and Briggs | Algebraic Calculus One | Wild Egg

In this video we explore how the general relations Log and Exp between a point z on a central conic, and the signed area of the sector formed by that point z and a fixed point 1 on the conic are related, particularly in the green geometry. This general format allows us a larger view of the

From playlist Old Algebraic Calculus Videos

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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

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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

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EDEXCEL GCSE Maths. November 2018. Paper 2. Higher. Calculator. 2H.

GCSE past paper for the (9-1) specification. I use the 'CLASSWIZ' calculator for all my videos, as it prepares you extremely well for exams beyond GCSE too. Very easy to use, in my opinion! https://amzn.to/2V3Ef31 Pearson Education accepts no responsibility whatsoever for the accuracy o

From playlist NEW SPEC (9-1) GCSE PAST PAPERS

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Manim Tutorial | Surface Revolutions | Tutorial 7, Manim Explained

Beginning of the Manim Explained series to help people understand how to use Manim (the 3Blue1Brown animation program). IF you are struggling to install Manim, here are some links to help; ManimCE: https://www.youtube.com/watch?v=KEg_Z... Manim3B1B: https://www.youtube.com/watch?v=Jfgtl.

From playlist ManimCE Tutorials 2021

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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

Related pages

7-cube | Truncation (geometry) | Permutation | 7-orthoplex | Uniform 7-polytope | Vertex figure | Convex polytope | Schläfli symbol | Coxeter group | Bitruncation | Cube | Geometry | Harold Scott MacDonald Coxeter | Hypercube