Space-filling polyhedra

Trapezo-rhombic dodecahedron

In geometry, the trapezo-rhombic dodecahedron or rhombo-trapezoidal dodecahedron is a convex dodecahedron with 6 rhombic and 6 trapezoidal faces. It has D3h symmetry. A concave form can be constructed with an identical net, seen as excavating trigonal trapezohedra from the top and bottom. (Wikipedia).

Trapezo-rhombic dodecahedron
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What is the difference of a trapezoid and an isosceles trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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What is a trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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What are some characteristics of an isosceles trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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Learning to solve for the midsegment of a trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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What is an isosceles trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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What is the trapezoid midsegment theorem

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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Jane Kostick - Coordinated Motion Around a Dodecahedron - G4G12 April 2016

The presentation included a demonstration of wooden sculptures that come apart in two-stages, like a coordinated motion puzzle. They are composed of four sets of a dozen sticks surrounding a 12-sided block.

From playlist G4G12 Videos

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How to solve for the midsegment of a trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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Developing the Martin Gardner Modular Origami G4G12 Rhombic Dodecahedron – Peter Knoppers

How I designed a modular origami object for the 12th gathering for Gardner. Files available for download on http://www.buttonius.com/G4G12/

From playlist G4G12 Videos

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d12 rhombic dodecahedron

See http://thedicelab.com/ for more details. These dice are available at http://www.mathartfun.com/shopsite_sc/store/html/DiceLabDice.html

From playlist Dice

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The cube shadow theorem (pt.2): The best hypercube shadows

NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Make sure to watch part 1 of this video before you watch part 2: https://youtu.be/rAHcZGjKVvg In this s

From playlist Recent videos

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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 β€œvolume 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

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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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Jane Kostick - 13-Piece Puzzles - G4G13 April 2018

Geometric constructions with 13 pieces

From playlist G4G13 Videos

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Applying the midsegment theorem to find the base of a trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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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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How to determine the missing measures of an isosceles trapezoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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How to find the missing length of an isosceles trapazoid

πŸ‘‰ Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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Three space-filling shapes hiding in the structure of diamond

Diamond is an arrangement of carbon atoms called the diamond cubic structure. As well as the cubes there are two other space-filling shapes that are found within it. In the unit cell I say "three more inside". It should of course be "four more inside". https://en.wikipedia.org/wiki/Diamo

From playlist Geometry

Related pages

Rhombus | Three-dimensional space | Dodecahedron | Johnson solid | Voronoi diagram | Trapezoid | Honeycomb (geometry) | Convex polytope | Rhombic dodecahedron | Cube | Sphere | Hexagonal prism | Hexagonal tiling | Rhombille tiling | Plesiohedron | Elongated dodecahedron | Geometry | Dual polyhedron | Triangular orthobicupola