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).
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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]
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
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
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
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