Space-filling polyhedra | Zonohedra | Prismatoid polyhedra

Rhombohedron

In geometry, a rhombohedron (also called a rhombic hexahedron or, inaccurately, a rhomboid) is a three-dimensional figure with six faces which are rhombi. It is a special case of a parallelepiped where all edges are the same length. It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells. A cube is a special case of a rhombohedron with all sides square. In general a rhombohedron can have up to three types of rhombic faces in congruent opposite pairs, Ci symmetry, order 2. Four points forming non-adjacent vertices of a rhombohedron necessarily form the four vertices of an orthocentric tetrahedron, and all orthocentric tetrahedra can be formed in this way. (Wikipedia).

Rhombohedron
Video thumbnail

Using the pythagorean theorem to a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

Applying the properties of a rhombus to determine the length of a diagonal

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

What are the properties that make up a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

Using the properties of a rhombus to determine the missing value

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

Using the properties of a rhombus to determine the side of a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

Rhombofoam in Zome – Scott Vorthmann

Rhombofoam is a pattern that fills 3D space in all the ways that a golden rhombohedron does, while forming dodecahedral and 16-sided cells that have the topology of foam: three cells around each edge, and four around each vertex. The result is a foam model that has the symmetries of a quas

From playlist G4G12 Videos

Video thumbnail

How to find the missing angle of a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

Geometric proof - properties of a rhombus (GCSE mathematics)

Proving the properties of a rhombus such as the diagonals bisect, they are perpendicular and the area is half the product of the diagonals. Support the channel: https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join

From playlist Geometry Revision

Video thumbnail

Macroscopic Characteristics of Minerals Part 2: Cleavage and Hardness

After examining color and luster, let's look at two more characteristics of minerals, cleavage and hardness. How do minerals break apart? How well do they scratch certain surfaces? Let's get a closer look! Script by Jared Matteucci Watch the whole Geology playlist: http://bit.ly/ProfDave

From playlist Geology

Video thumbnail

The Composition of Rocks: Mineral Crystallinity and Bonding Types

We've been focusing on the layers of the Earth for a while now, so let's start looking at rocks themselves. Rocks are assemblages of minerals. So what's a mineral? What are their properties? What kinds of bonds occur within them? Let's take a look! Script by Jared Matteucci Watch the who

From playlist Geology

Video thumbnail

Determining a missing length using the properties of a rhombus

👉 Learn how to solve problems with rhombuses. A rhombus is a parallelogram such that all the sides are equal. Some of the properties of rhombuses are: all the sides are equal, each pair of opposite sides are parallel, each pair of opposite angles are equal, the diagonals bisect each other,

From playlist Properties of Rhombuses

Video thumbnail

Roger Penrose: Forbidden crystal symmetry - Event Q&A

The event question and answer session from an Ri event with Sir Roger Penrose in October 2013. The famous mathematician provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in design and architecture. It is a rigorous

From playlist Celebrating Crystallography

Video thumbnail

MIT 3.60 | Lec 2b: Symmetry, Structure, Tensor Properties of Materials

Part 2: Introduction to Crystallography View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

Video thumbnail

Reasoning about Areas Part 2

The basic area formulas presented as reasoned methods rather than formulas to be memorized. Part 2 deals with the rhombus, regular polygons, and circles. The area of a circle is derived several different ways.

From playlist Lessons of Interest on Assorted Topics

Video thumbnail

The Search for Natural Quasicrystals - Paul Steinhardt

Paul Steinhardt Center for Theoretical Science, Princeton University March 7, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Rhombus, Basic Introduction - Geometry

This geometry video tutorial provides a basic introduction into the rhombus. It explains how to calculate the area of a rhombus as well as the perimeter. It discusses the basic properties of a rhombus as it relates to parallelograms and quadrilaterals. A rhombus has all of the propertie

From playlist Geometry Video Playlist

Related pages

Order (group theory) | Orthocentric tetrahedron | Rhomboid | Square | Trigonal trapezohedron | Prism (geometry) | Octahedral symmetry | Rhombus | Cube | Octahedron | Geometry | Parallelepiped | Zonohedron | Convex set | Honeycomb (geometry)