# Octahedron

In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case of the more general concept of a cross polytope. A regular octahedron is a 3-ball in the Manhattan (â„“1) metric. (Wikipedia).

Octal to Binary Conversion

From playlist Number Systems

Octal to Decimal Conversion

This video tutorial explains how to convert octal to decimal numbers. The octal system is a base 8 system while the decimal system is a base 10 system. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Access to Premium Videos: https://www.patreon.co

From playlist Number Systems

Binary to Octal Conversion

From playlist Number Systems

Octal to Hexadecimal Conversion - The Easy Way!

From playlist Number Systems

What is the definition of scientific notation

ðŸ‘‰ Learn about scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the number of digits up to t

From playlist Scientific Notation | Learn About

What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

Set Theory (Part 18): The Rational Numbers are Countably Infinite

Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a

From playlist Set Theory by Mathoma

From playlist Number Systems

Number theory Full Course [A to Z]

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio

From playlist Number Theory

Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

Octahedron Fractal Graph

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/19O1

From playlist 3D printing

Math Mornings at Yale: Asher Auel - Wallpaper, Platonic Solids, and Symmetry

The Platonic solids-the tetrahedron, cube, octahedron, dodecahedron, and icosahedron-are some of the most beautiful and symmetric geometrical objects in 3-dimensional space. Their mysteries started to be unraveled by the ancient Greeks and still fascinate us today. In 1872, the German geom

From playlist Math Mornings at Yale

JournÃ©e de la Revue dâ€™histoire des mathÃ©matiques - Veronica Gavagna - 01/12/17

JournÃ©e de la Revue dâ€™histoire des mathÃ©matiques (sÃ©ance prÃ©parÃ©e par la rÃ©daction de la RHM) Veronica Gavagna (UniversitÃ  degli Studi di Firenze), Â« Studies on regular polyhedra in the Renaissance: the case of Francesco Maurolico Â» ---------------------------------- Vous pouvez nous re

d8 truncated octahedron

See http://thedicelab.com/ for more details. These dice are available at http://www.mathartfun.com/shopsite_sc/store/html/DiceLabDice.html

From playlist Dice

Tetrahedron decomposition (pure CSS 3D)

You can see the live demo here https://codepen.io/thebabydino/pen/OjgWQG/ If the work I've been putting out since early 2012 has helped you in any way or you just like it, please consider supporting it to help me continue and stay afloat. You can do so in one of the following ways: * yo

From playlist CSS variables

How to construct an Octahedron

How the greeks constructed the 2nd platonic solid: the regular octahedron Source: Euclids Elements Book 13, Proposition 14. In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Plat

From playlist Platonic Solids

Unique way to divide a tetrahedron in half

This is an interesting geometry volume problem using tetrahedrons. We use the volume of a tetrahedron and Cavalieri's principle in 3D.

From playlist Platonic Solids

Scott Kim - Motley Dissections - G4G13 April 2018

This talk discusses motley dissections â€” polygons cut into polygons and polyhedra cut into polyhedra such that no two pieces every completely share an edge or a face. The most famous motley dissection is the squared square. My contribution extends this to triangled triangles, pentagoned pe

From playlist G4G13 Videos

Learn how to find the value c that creates a perfect square trinomial, x^2 - 7x + c

ðŸ‘‰ Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants. The value c that we create is what will turn our qua

From playlist Find the Value C that Completes the Square

Perfect Shapes in Higher Dimensions - Numberphile

Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions. More links & stuff in full description below â†“â†“â†“ Extra footage (Hypernom): https://youtu.be/unC0Y3kv0Yk More videos with with Carlo: http://bit.ly/carlo_videos Edit and animation by Pete McPartlan Pete

From playlist Carlo SÃ©quin on Numberphile