Polyhedral stellation | Polyhedra
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram. That is, every three intersecting face planes of the icosahedral core intersect either on a vertex of this polyhedron, or inside of it. This polyhedron is the seventeenth stellation of the icosahedron, and given as Wenninger model index 42. As a geometrical figure, it has two interpretations, described below: * As an irregular with 20 identical self-intersecting enneagrammic faces, 90 edges, 60 vertices. * As a with 180 triangular faces (60 isosceles, 120 scalene), 270 edges, and 92 vertices. This interpretation is useful for polyhedron model building. Johannes Kepler researched stellations that create regular star polyhedra (the Kepler-Poinsot polyhedra) in 1619, but the complete icosahedron, with irregular faces, was first studied in 1900 by Max Brückner. (Wikipedia).
Fractal Snowflakes, Symmetries, and Beautiful Math Decorations
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription. Today is MATH CRAFTS day! We're going to make some holiday decorations and then also chat about the cool math behind them. We'll learn a
From playlist Cool Math Series
Michael Tanoff - Son of O'Gara - G4G12 April 2016
Mathematical philately over the past half century
From playlist G4G12 Videos
Live CEOing Ep 186: Polyhedra in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Polyhedra in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Magnet Satisfaction Extreme | Magnetic Games
I think this is my most satisfying video ever, what do you think? A bit of magnetic sculptures, lights and diamagnetic levitation. And the sounds? I love the sound of pyrolytic graphite falling on magnets, I hope also like lovers of ASMR. Here the magnets used to build those magnetic scul
From playlist WAVES
Robert Fathauer - Tessellations: Mathematics, Art, and Recreation - CoM Apr 2021
A tessellation, also known as a tiling, is a collection of shapes (tiles) that fit together without gaps or overlaps. Tessellations are a topic of mathematics research as well as having many practical applications, the most obvious being the tiling of floors and other surfaces. There are n
From playlist Celebration of Mind 2021
Solving a quadratic by completing the square | Part 1
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. This is done
From playlist Solve a Quadratic by Completing the Square | x^2+bx+c
Solving an equation by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term in the right ha
From playlist Solve a Quadratic by Completing the Square | Fractions
Interactivity: Building and App in 60 Seconds
With the Wolfram Language and Mathematica, you really can build a useful, interactive app for exploring ideas in just 60 seconds. Starting with the 60-second app, this talk covers the ins and outs of the Wolfram Language function Manipulate, the key to instantly interactive interfaces. You
From playlist Geek Out with Wolfram Virtual Workshop 2014
Number Theory - Wilson's Theorem
From playlist Proofs
Solving a quadratic by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term in the right ha
From playlist Solve a Quadratic by Completing the Square | Fractions
Solving a quadratic by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term in the right ha
From playlist Solve a Quadratic by Completing the Square | Fractions
Solving a quadratic by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term in the right ha
From playlist Solve a Quadratic by Completing the Square | Fractions
My #MegaFavNumbers 19,958,400 and stellated polygons
from what I have found online, stellations don't seem to be all that well known, so I hope this video will help it become a more commonly talked about concept, because I found it very interesting, especially after I had to do the proof myself, I got a lot of good insights out of it.
From playlist MegaFavNumbers
Solving a quadratic by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. Timestamps: 0
From playlist Solve a Quadratic by Completing the Square | x^2+bx+c
Solving an equation by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. This is done
From playlist Solve a Quadratic by Completing the Square | x^2+bx+c
Solving an equation by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. This is done
From playlist Solve a Quadratic by Completing the Square | x^2+bx+c
Solving by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term in the right ha
From playlist Solve a Quadratic by Completing the Square | Fractions
Laura Taalman - 3D printed Hinged Dissections and Foldable Polyhedra - CoM Apr 2021
We’ll talk briefly about 3D printing foldable and hinged models for polygonal and polyhedral dissections, and a new idea for “volume nets” for which I am seeking feedback. Included will be access to 3D design files that people can use to create their own models. Q&A at the end can extend t
From playlist Celebration of Mind 2021
Step by step process explaining completing the square to solve
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. This is done
From playlist Solve a Quadratic by Completing the Square | x^2+bx+c