Mathematical notation | Goldberg polyhedra | Polyhedra

Chamfered dodecahedron

In geometry, the chamfered dodecahedron is a convex polyhedron with 80 vertices, 120 edges, and 42 faces: 30 hexagons and 12 pentagons. It is constructed as a chamfer (edge-truncation) of a regular dodecahedron. The pentagons are reduced in size and new hexagonal faces are added in place of all the original edges. Its dual is the pentakis icosidodecahedron. It is also called a truncated rhombic triacontahedron, constructed as a truncation of the rhombic triacontahedron. It can more accurately be called an order-5 truncated rhombic triacontahedron because only the order-5 vertices are truncated. (Wikipedia).

Chamfered dodecahedron
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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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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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Regular polyhedra

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

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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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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

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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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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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Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

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How to model compound gears, and how to chamfer the teeth of gears. (Gears pt 1.5/7)

Chamfering starts at 4:35 Part 2: https://www.youtube.com/watch?v=ogCGq1aSM80 Full series playlist: https://www.youtube.com/playlist?list=PL4Yme23PQa9njUgvH2o2HP03-4RtZObzO You can also check out This old Tony’s video on cutting gears using a gear cutter, mill and dividing head: https://

From playlist All about gears

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CNC Basics 2

Before you dive it: this video likely ain't for everyone. A follow up video to the previous CNC intro. Baby steps. If they're helpful I can keep turning up the difficulty knob -- otherwise it's back to making vise handles. Can never have enough vise handles.

From playlist All Uploads

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How To Model Articulated Action Figurine For 3D Printing | Session 04 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to model articulated action figurines for 3D printing. In this tutorial, we will be designing Futurama's Bender articulated figurine for 3D printing. It will have fully articulated arms and legs (these will utilize mu

From playlist Model Articulated Action Figurine For 3D Printing

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How To Make Spaceship Interior using 3ds Max & Vray | Session 02 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to make a spaceship interior using 3ds Max & Vray. This tutorial will go through the process of creating a spaceship interior in 3ds Max and preparing the environment for render with VRay renderer. By using elemental

From playlist Make Spaceship Interior using 3ds Max & Vray

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How To Model Articulated Action Figurine For 3D Printing | Session 11 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to model articulated action figurines for 3D printing. In this tutorial, we will be designing Futurama's Bender articulated figurine for 3D printing. It will have fully articulated arms and legs (these will utilize mu

From playlist Model Articulated Action Figurine For 3D Printing

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SHOP TIPS #213 Part 1 of 2 Fitting a Backing Plate to a Lathe Chuck tubalcain

I demonstrate how to mount a backing plate onto a BUCK Adjust-Tru three jaw lathe chuck. This is part 1 of a 2 part video. Please subscribe & watch all 600 of my videos.

From playlist #3 MACHINE SHOP TIPS tubalcain playlist #201 thru #300

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How To Make Spaceship Interior using 3ds Max & Vray | Session 05 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to make a spaceship interior using 3ds Max & Vray. This tutorial will go through the process of creating a spaceship interior in 3ds Max and preparing the environment for render with VRay renderer. By using elemental

From playlist Make Spaceship Interior using 3ds Max & Vray

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How To Create Viking Village With 3ds Max and VRay | Session 02 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to create a Viking village with 3ds Max VRay. This tutorial will go through the process of creating a Viking village environment in 3ds Max and preparing the environment for render with VRay renderer. By using elemen

From playlist Create Viking Village With 3ds Max and VRay

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How To Model Articulated Action Figurine For 3D Printing | Session 07 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to model articulated action figurines for 3D printing. In this tutorial, we will be designing Futurama's Bender articulated figurine for 3D printing. It will have fully articulated arms and legs (these will utilize mu

From playlist Model Articulated Action Figurine For 3D Printing

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How To Model Articulated Action Figurine For 3D Printing | Session 10 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to model articulated action figurines for 3D printing. In this tutorial, we will be designing Futurama's Bender articulated figurine for 3D printing. It will have fully articulated arms and legs (these will utilize mu

From playlist Model Articulated Action Figurine For 3D Printing

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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

Related pages

Hexagon | Icosahedral symmetry | Chamfer (geometry) | Goldberg polyhedron | Rhombus | Vertex configuration | Convex polygon | Face (geometry) | Rhombic triacontahedron | Pentagon | Vertex (geometry) | Taxicab geometry | Truncation (geometry) | Convex polytope | Truncated icosahedron | Polyhedron | Expansion (geometry) | Regular dodecahedron | 120-cell | Pentakis icosidodecahedron | Edge (geometry) | Snub (geometry) | Near-miss Johnson solid | Conway polyhedron notation | Geodesic polyhedron | Geometry | Regular polygon | Dual polyhedron | Convex set