Polyhedral compounds | Polyhedra

Small complex rhombicosidodecahedron

In geometry, the small complex rhombicosidodecahedron (also known as the small complex ditrigonal rhombicosidodecahedron) is a degenerate uniform star polyhedron. It has 62 faces (20 triangles, 12 pentagrams and 30 squares), 120 (doubled) edges and 20 vertices. All edges are doubled (making it degenerate), sharing 4 faces, but are considered as two overlapping edges as a topological polyhedron. It can be constructed from the vertex figure 3(5/2.4.3.4), thus making it also a cantellated great icosahedron. The "3" in front of this vertex figure indicates that each vertex in this degenerate polyhedron is in fact three coincident vertices. It may also be given the Schläfli symbol rr{5⁄2,3} or t0,2{5⁄2,3}. (Wikipedia).

Small complex rhombicosidodecahedron
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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

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Great Rhombicosidodecahedron

Palm Springs Art Museum

From playlist Differential Equations

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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

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Class 5: Tessellations & Modulars

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 more examples of origami models that use a variety of techniques and media. At the end of the session, the c

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Rhombuses, Rectangles, and Squares

I introduce the properties of Rhombuses, Rectangles, and Squares and finish by working through five examples to help you through your homework. Rhombus examples 5:39 Rectangle examples 14:05 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a

From playlist Geometry

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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

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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

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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

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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

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Geometry: Ch 4 - Geometric Figures (5 of 18) The Rhombus

Visit http://ilectureonline.com for more math and science lectures! In this video I will define the rhombus, and explain the equations of its parameter and area. Next video in this series can be seen at: https://youtu.be/W9gVgwAoLms

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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Nexus Trimester - Bruno Bauwens (Higher School of Economics)

Asymmetry of online Kolmogorov complexity Bruno Bauwens (Higher School of Economics) February 29, 2016 Abstract: In order for a source to reveal a string , it needs to store at least [Math Processing Error] bits of information ([Math Processing Error] represents the Kolmogorov complexity)

From playlist Nexus Trimester - 2016 - Central Workshop

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Thick And Localising Subcategories Of Derived Categories (Lecture-2) by Srikanth Iyengar

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

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Žiga Virk (9/25/19): Geometric interpretation of persistence

Title: Geometric interpretation of persistence Abstract: Given a reasonably nice metric space X, its filtration by complexes and the corresponding persistent homology provide a multi-scale representation of X. At small scales the complexes usually reconstruct the homotopy type of the spac

From playlist AATRN 2019

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Daniel Kral: Parametrized approach to block structured integer programs

Integer programming is one of the most fundamental problems in discrete optimization. While integer programming is computationally hard in general, there exist efficient algorithms for special instances. In particular, integer programming is fixed parameter tractable when parameterized by

From playlist Workshop: Parametrized complexity and discrete optimization

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More Examples Rhombus & Rectangle

I continue my examples with Rhombuses, Rectangles, and Squares. These two algebraic examples require slightly more advanced algebra techniques and a need to check your answers with the original Geometric shape. EXAMPLES AT 0:05 12:01 Find free review test, useful notes and more at http:/

From playlist Geometry

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A PSPACE construction of a hitting set for the closure of small algebraic circuits - Amir Shpilka

Computer Science/Discrete Mathematics Seminar II Topic: A PSPACE construction of a hitting set for the closure of small algebraic circuits Speaker: Amir Shpilka Affiliation: Tel Aviv University Date: December 12, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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ITHT: Part 12- Model Structure on Topological Spaces

Credits: nLab: https://ncatlab.org/nlab/show/Introduction+to+Homotopy+Theory#TheClassicalModelStructureOfTopologicalSpaces Animation library: https://github.com/3b1b/manim​​​​​​​​​​ My own code/modified library: https://github.com/treemcgee42/youtub...

From playlist Introduction to Homotopy Theory

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Toward Better Formula Lower Bounds: An Information Complexity Approach... - Or Meir

Toward Better Formula Lower Bounds: An Information Complexity Approach to the KRW Composition Conjecture Or Meir Institute for Advanced Study; Member, School of Mathematics November 26, 2013 One of the major open problems in complexity theory is proving super-polynomial lower bounds for ci

From playlist Mathematics

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Stable Homotopy Seminar, 7: Constructing Model Categories

A stroll through the recognition theorem for cofibrantly generated model categories, using it to construct (1) the Quillen/Serre model structure on topological spaces and (2) the levelwise model structure on spectra. The latter captures the idea that spectra are sequences of spaces, but no

From playlist Stable Homotopy Seminar

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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

Related pages

Cantellation (geometry) | Vertex configuration | Coxeter–Dynkin diagram | Wythoff construction | Ditrigonal dodecadodecahedron | Faceting | Small stellated dodecahedron | Compound of five cubes | Uniform star polyhedron | Schläfli symbol | Great ditrigonal icosidodecahedron | Dodecahedron | Great icosahedron | Coincidence point | Truncated great icosahedron | Rhombicosahedron | Great stellated dodecahedron | Regular icosahedron | Polyhedron | Regular dodecahedron | Great icosidodecahedron | Great dodecahedron | Small ditrigonal icosidodecahedron | Small complex icosidodecahedron | Degeneracy (mathematics) | Triangle | Great snub icosidodecahedron | Pentagram | Great complex icosidodecahedron