The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is internal to its dual, the small stellated dodecahedron. This can be seen as one of the two three-dimensional equivalents of the compound of two pentagrams ({10/4} "decagram"); this series continues into the fourth dimension as compounds of star 4-polytopes. (Wikipedia).
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
Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51
The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str
From playlist Universal Hyperbolic Geometry
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
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
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
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
Adam Savage's One Day Builds: Hyperdodecahedron Model Kit!
A perfect weekend project is this beautiful model kit: the Hyperdo from Zometools. Adam received one based on the recommendation of his good friend Kevin Kelly, and spends the day putting this complex geometric object together. It's a hyperdodecahedron--or more specifically the 3D projecti
From playlist Adam Savage's One Day Builds
Live CEOing Ep 201: Unity Game Interface in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Unity Game Interface in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
The Mathologer gets carried away making sense of some of his favourite math toys. Featuring the amazing Yoshimoto cube, a cute 3d version of the Yin and Yang symbol, the stellated rhombic dodecahedron in its many puzzling guises, etc. Since a couple of people have asked here are links for
From playlist Recent videos
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
Instruction to download http://singingbanana.com/popupdodecahedron.pdf More information about the dodecahedron that I would have like to have gone into in this video http://uk.youtube.com/watch?v=-lqpSpje42o Dodecahedron at wikipedia http://en.wikipedia.org/wiki/Dodecahedron Plato
From playlist My Maths Videos
Adam Savage's One Day Builds: Rhombic Dodecahedron with Matt Parker!
Buy Matt Parker's Humble Pi: https://amzn.to/367UmBV In this special One Day Build filmed earlier this year, mathematician Matt Parker visits the cave to build a rhombic dodecahedron with Adam! Be prepared for lots of fun geometry discussion as Adam and Matt try to make abstract math conc
From playlist Adam Savage's One Day Builds
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
A fold-up, slice-and-dice dodecahedron and its complement. With a 3D printer, you can make your own using the files here: http://georgehart.com/rp/T-O-M/t-o-m.html
From playlist Odds and Ends
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
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
Dissecting a Playdough Rhombic Dodecahedron with Miles
This is a playful demonstration of how a rhombic dodecahedron can be diced up and the pieces rearranged to make three of the Platonic solids. Three cuts yield eight pieces that form two cubes. Four cuts yield 14 pieces that form two tetrahedrons and one octahedron. Special thanks to 10-
From playlist Recreational Math Videos
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
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
Demolition with dodecahedrons of various masses, trajectories, and velocities.
From playlist Physics