Polyhedra

Decahedron

In geometry, a decahedron is a polyhedron with ten faces. There are 32300 topologically distinct decahedra, and none are regular, so this name does not identify a specific type of polyhedron except for the number of faces. Some decahedra have regular faces: * Octagonal prism (uniform 8-prism) * Square antiprism (uniform 4-antiprism) * Square cupola (Johnson solid 4) * Pentagonal bipyramid (Johnson solid 13, 5-bipyramid) * Augmented pentagonal prism (Johnson solid 52) The decahedra with irregular faces include: * Pentagonal trapezohedron (5-trapezohedron, antiprism dual) – often used as a die in role playing games, known as d10 * Enneagonal pyramid (9-pyramid) * Ten of diamonds decahedron - a space-filling polyhedron with D2d symmetry. (Wikipedia).

Decahedron
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What's an Octagon? Geometry Terms and Definitions

An introduction to the octagon, a fundamental geometric shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patre

From playlist Socratica: The Geometry Glossary Series

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What is CERN?

A tour of CERN and its research facilities. Find out more about CERN: http://home.cern/ Produced by: CERN Video Productions Director: CERN Video Productions You can follow us on: cern.ch youtube.com/cerntv facebook.com/cern twitter.com/cern/ linkedin.com/company/cern instagram.com/cern

From playlist CERN - the Laboratory

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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

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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

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Foldable Polyhedron 1

Delta-Star is a polyhedral object which I invented in 1996. The type of Delta-Star corresponds to Deltahedrons. It expands and shrinks. Especially highly symmetric tetrahedron,octahedron,icosahedron types and hexahedron,decahedron types can transform smoothly.

From playlist Handmade geometric toys

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A space-filling polyhedron, based on the Weaire-Phelan foam

The Weaire-Phelan foam is a relaxation of a packing of irregular dodecahedra and tetrakaidecahedra. Dissect the dodecahedra into pentagon-based pyramids by adding a vertex at the center, then glue their bases to the surrounding tetrakaidecahedra. Amazingly the faces line up and the result

From playlist Geometry

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Bjoern Muetzel - Mirror Solids - G4G14 Apr 2022

We attached mirror surfaces to the faces of Archimedean and Platonic solids. Looking inside a fascinating fractal landscape reveals itself.

From playlist G4G14 Videos

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Eleftherios Pavlides - Tetradecahedron as Palimpsest of the Monododecahedral 1- G4G14 Apr 2022

Tetradecahedron as Palimpsest of the Monododecahedral 1-Parameter Family of the Polymorphic Elastegrity Subtitle: Making Paper Bubbles The polymorphic elastegrity was discovered in 1982 through paper folding and weaving in response to two basic design exercises given in 1971 and 1972 at

From playlist G4G14 Videos

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Is the Universe Finite or Infinite? The Implications of an Infinite Universe

Two possibilities exist: either the Universe is finite and has a size, or it's infinite and goes on forever. Both possibilities have mind-bending implications. Support us at: http://www.patreon.com/universetoday More stories at: http://www.universetoday.com/ Follow us on Twitter: @universe

From playlist Cosmic Microwave Background Radiation

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Piotr Sniady: Representation theory from the random matrix perspective

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In many cases a representation of a group can be viewed as a "random matrix with non-commutative entries". This viewpoint gives a heuristic explanation for many links

From playlist Noncommutative geometry meets topological recursion 2021

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Quaternions EXPLAINED Briefly

This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for

From playlist Quaternions

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Algebraic Tilings

A previously unknown substitution tiling can be built from powers 0 to 4 of a complex root of x^3 == x^2 + 1. In this talk, Ed Pegg discusses how algebraic numbers and barycentric coordinates can be used to explore both a new branch of tiling systems and simple representations for some old

From playlist Wolfram Technology Conference 2020

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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

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What is CERN? - Sixty Symbols

Professor Ed Copeland gives his own explanation and brief history of CERN - a Mecca for physicists and home of the Large Hadron Collider. CERN website: http://public.web.cern.ch/public/ Visit our website at http://www.sixtysymbols.com/ We're on Facebook at http://www.facebook.com/sixtysym

From playlist Large Hadron Collider - Sixty Symbols

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2020 Auction Fundraiser - Zoom Preview

2020 Auction Webpage: http://www.gathering4gardner.org/auction2020/ ** Auction Preview Timestamps: ** 00:20 – Bob Hearn – introduction and auction explanation 05:00 – G4G branded face mask give-away 05:45 – John Conway’s traveling backgammon game 06:00 – Autographed books 07:15 – Adam Rubi

From playlist Celebration of Mind

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Octahedron in Geogebra

Octahedron in Geogebra Step by step tutorial here: https://youtu.be/LmCs6dzZreA In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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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

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Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021

If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc

From playlist Celebration of Mind 2021

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Urs Lang (2/3/23): Combinatorial dimension and higher-rank hyperbolicity

Dress characterized metric spaces of combinatorial dimension at most n in terms of a 2(n+1)-point inequality. We investigate a relaxed version of this inequality, which in the case n = 1 reduces to Gromov's quadruple definition of δ-hyperbolicity and which we experimentally call (n,δ)-hype

From playlist Vietoris-Rips Seminar

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Using a set of points determine if the figure is a parallelogram using the midpoint 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

Related pages

Pentagonal bipyramid | Dice | Pyramid (geometry) | Prism (geometry) | Square cupola | Pentagonal trapezohedron | Polyhedron | Geometry | Johnson solid | Face (geometry) | Augmented pentagonal prism | Topology | Square antiprism | Bipyramid | Trapezohedron | Octagonal prism | Antiprism