Uniform polyhedra

Dodecadodecahedron

In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U36. It is the rectification of the great dodecahedron (and that of its dual, the small stellated dodecahedron). It was discovered independently by Hess, Badoureau and Pitsch. The edges of this model form 10 central hexagons, and these, projected onto a sphere, become 10 great circles. These 10, along with the great circles from projections of two other polyhedra, form the 31 great circles of the spherical icosahedron used in construction of geodesic domes. (Wikipedia).

Dodecadodecahedron
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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

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Dodecahedron in Geogebra

Dodecahedron in Geogebra Step by step tutorial on this link: https://youtu.be/FPDOfPhheFk In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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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

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The Pop-up Dodecahedron

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

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Dodecahedron in Geogebra [Tutorial]

Dodecahedron in Geogebra [Tutorial] In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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Area of dodecagon from a square!

This is a short, animated visual proof demonstrating that the area of a regular dodecagon inscribed in the unit circle has an area of exactly 3. #math​ #manim​ #visualproof​ #mathvideo​ #geometry #mathshorts​ #geometry #mtbos​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #proof​ #it

From playlist MathShorts

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Dodecaplex: the puzzle from the fourth dimension!

Check out Dodecaplex on Maths Gear! https://mathsgear.co.uk/products/dodecaplex-puzzle Dodecaplex is based on the mathematics of Saul Schleimer and Henry Segerman. Henry Segerman http://www.segerman.org/ Saul Schleimer http://homepages.warwick.ac.uk/~masgar/ You can read more about the

From playlist Guest appearances

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Inside-Out Logic

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

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Regular Dodecagon Surprises

Regular dodecagon surprises. How to prove? Source: Antonio Gutierrez. https://geogebra.org/m/wxywrnwh #GeoGebra #MTBoS #ITeachMath #geometry #math #maths #proof #ProofWithoutWords #EdTech #MathChat #GeomChat

From playlist Geometry: Challenge Problems

Related pages

Hexagon | Small dodecahemicosahedron | Rhombus | Convex hull | 31 great circles of the spherical icosahedron | Rhombic triacontahedron | Truncated great dodecahedron | Order-4 pentagonal tiling | Wythoff construction | Small stellated dodecahedron | Isohedral figure | List of uniform polyhedra | Quotient space (topology) | Pentagon | Icosidodecahedron | Regular polyhedron | Schläfli symbol | Hyperbolic geometry | Dodecahedron | Small rhombidodecahedron | Truncation (geometry) | Great circle | Truncated dodecadodecahedron | Rectification (geometry) | Polyhedron | Stellation | Sphere | Schwarz triangle | Great dodecahedron | Great dodecahemicosahedron | Degeneracy (mathematics) | Geometry | Order-5 square tiling | Dual polyhedron | Pentagram