Uniform polyhedra

Nonconvex great rhombicuboctahedron

In geometry, the nonconvex great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17. It has 26 faces (8 triangles and 18 squares), 48 edges, and 24 vertices. It is represented by the SchlΓ€fli symbol rr{4,3⁄2} and Coxeter-Dynkin diagram of . Its vertex figure is a crossed quadrilateral. This model shares the name with the convex great rhombicuboctahedron, also called the truncated cuboctahedron. An alternate name for this figure is quasirhombicuboctahedron. From that derives its Bowers acronym: querco. (Wikipedia).

Nonconvex great rhombicuboctahedron
Video thumbnail

Using the pythagorean theorem to a rhombus

πŸ‘‰ 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

πŸ‘‰ 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

πŸ‘‰ 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

How to find the missing angle of a rhombus

πŸ‘‰ 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 a set of points determine if the figure is a parallelogram using the midpoint formula

πŸ‘‰ Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

What are the properties that make up a rhombus

πŸ‘‰ 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

Determining a missing length using the properties of a rhombus

πŸ‘‰ 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

Yuxin Chen: "The Effectiveness of Nonconvex Tensor Completion: Fast Convergence & Uncertainty Qu..."

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity "The Effectiveness of Nonconvex Tensor Completion: Fast Convergence and Uncertainty Quantification" Yuxin Chen - Princeto

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

Video thumbnail

How to determine if points are a rhombus, square or rectangle

πŸ‘‰ Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

Determining if a set of points makes a parallelogram or not

πŸ‘‰ Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

Xiadong Li: Phase Retrieval from Convex to Nonconvex Methods

Xiadong Li: Phase Retrieval from Convex to Nonconvex Methods Abstract: In phase retrieval, one aims to recover a signal from magnitude measurements. In the literature, an effective SDP algorithm, referred to as PhaseLift, was proposed with numerical success as well as strong theoretical g

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Video thumbnail

Dog BUTT Floss! And More: LÜT #21

LINKS TO BUY THESE THINGS: @tweetsauce matchbook wallet: http://ow.ly/8Dxvo edible spray paint: http://www.the-deli-garage.com/FOOD-FINISH_detail_16.html spam mints: http://www.neatoshop.com/product/SPAM-Mints lucky charms lip balm: http://www.baronbob.com/lipbalm-luckychar

From playlist LUT

Video thumbnail

Robert Luce: Local and global solution of nonconvex quadratic problems

We review some of the key techniques Gurobi uses to solve nonconvex quadratic optimization problems to global optimality. In particular we will discuss the McCormick relaxation, powerful cutting planes in this context, and local heuristics.

From playlist Workshop: Continuous approaches to discrete optimization

Video thumbnail

Geared Cuboctahedral Jitterbug

3d print available at http://shpws.me/R8NY. This variant jitterbug mechanism is based on the cuboctahedron, expanding to become a rhombicuboctahedron. For this mechanism the rotation rates of the triangular and square parts are not linearly related to each other. This means that our gear

From playlist 3D printing

Video thumbnail

Class 17: D-Forms

MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces the pita form and Alexandrov-Pogorelov Theorem. D-forms are discussed with a construction exercise, followed

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

Video thumbnail

Class 16: Vertex & Orthogonal Unfolding

MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class reviews covers topologically convex vertex-ununfoldable cases and unfolding for orthogonal polyhedra, including the app

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

Video thumbnail

Fifth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, November 1, 10:00am EDT Speaker: Xiaoqun Zhang, Shanghai Jiao Tong University Title: Stochastic primal dual splitting algorithms for convex and nonconvex composite optimization in imaging Abstract: Primal dual splitting algorithms are largely adopted for composited optim

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

Video thumbnail

Henry Segerman - Geared Mechanisms - G4G14 Apr 2022

We will present various 3D printed geared mechanisms. Two of these are octahedral and cuboctahedral variants of Buckminster Fuller's Jitterbug mechanism. Here the gears help stabilize the mechanism and prevent jamming. In the cuboctahedral case, the added gears rotate non-linearly, so requ

From playlist G4G14 Videos

Video thumbnail

How to use proportions for an isosceles triangle

πŸ‘‰ Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

Video thumbnail

Masterclass for optimisation - Professor Coralia Cartis, University of Oxford

Bio Coralia Cartis (BSc Mathematics, Babesh-Bolyai University, Romania; PhD Mathematics, University of Cambridge (2005)) has joined the Mathematical Institute at Oxford and Balliol College in 2013 as Associate Professor in Numerical Optimization. Previously, she worked as a research scien

From playlist Data science classes

Related pages

Great cubicuboctahedron | Square | Truncated cuboctahedron | Great rhombihexahedron | Truncated cube | Geometry | Pseudo great rhombicuboctahedron | Triangle | Vertex arrangement | Quadrilateral | Vertex figure