In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron. (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
Demolition with dodecahedrons of various masses, trajectories, and velocities.
From playlist Physics
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]
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
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
Post-it Note Dodecahedron: Your Photos
From playlist My Maths Videos
2014 Hari Shankar Memorial lecture: "How to make sculptures of 4-dimensional things"
The Hari Shankar Memorial Lecture is an annual public lecture held at the University of Northern Iowa. Slides: https://www.math.okstate.edu/~segerman/talks/how_to_make_sculptures_of_4d_things.pdf
From playlist 3D printing
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
Area of a Regular Dodecagon III (visual proof)
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 Geometric Constructions
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
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
AlgTop9: Applications of Euler's formula and graphs
We use Euler's formula to show that there are at most 5 Platonic, or regular, solids. We discuss other types of polyhedra, including deltahedra (made of equilateral triangles) and Schafli's generalizations to higher dimensions. In particular in 4 dimensions there is the 120-cell, the 600-c
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Amina Buhler - The Magic of Polytopes-Mandalas - CoM July 2021
Polytopes are 3-Dimensional shadows from higher dimensional polyhedra (4-Dimensional & above). These 3-D shadows, when rotated suddenly out of chaos, line-up & reveal, cast mandala patterns into 2-D of 2,3, & 5-fold symmetry. While constructing a stainless steel 120-cell (4-D dodecahed
From playlist Celebration of Mind 2021
Hypernom.com talk at Bridges 2015 in Baltimore (Rectangular version)
Talk I gave with Vi Hart and Andrea Hawksley on the virtual reality artgame "Hypernom" we made with Marc ten Bosch. The game is playable at http://hypernom.com. Slides for the talk: http://math.okstate.edu/people/segerman/talks/hypernom_talk.pdf Spherical version of the video: https://ww
From playlist GPU shaders