Toroidal polyhedra

Small cubicuboctahedron

In geometry, the small cubicuboctahedron is a uniform star polyhedron, indexed as U13. It has 20 faces (8 triangles, 6 squares, and 6 octagons), 48 edges, and 24 vertices. Its vertex figure is a crossed quadrilateral. The small cubicuboctahedron is a faceting of the rhombicuboctahedron. Its square faces and its octagonal faces are parallel to those of a cube, while its triangular faces are parallel to those of an octahedron: hence the name cubicuboctahedron. The small suffix serves to distinguish it from the great cubicuboctahedron, which also has faces in the aforementioned directions. (Wikipedia).

Small cubicuboctahedron
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Octahedron Fractal Graph

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/19O1

From playlist 3D printing

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What is an acute triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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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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What is the difference between convex and concave

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is the difference between convex and concave polygons

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is an obtuse triangle

πŸ‘‰ Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is a concave polygon

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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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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Scotland Ruby 2011 - What Ruby Can Learn From Smalltalk

by: Steven Baker Smalltalk is one of the forefathers of Object Oriented programming, and has a long history of being used in the field. One of the quiet players, many have heard of Smalltalk without having worked with it, but Smalltalk is indispensable in many industries including insuran

From playlist Scotland Ruby 2011

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MountainWest RubyConf 2014 - But Really, You Should Learn Smalltalk

By Noel Rappin Smalltalk has mystique. We talk about it more than we use it. It seems like it should be so similar to Ruby. It has similar Object-Oriented structures, it even has blocks. But everything is so slightly different, from the programming environment, to the 1-based arrays, to t

From playlist MWRC 2014

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Lec 11 | MIT 6.002 Circuits and Electronics, Spring 2007

Small signal circuits View the complete course: http://ocw.mit.edu/6-002S07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.002 Circuits and Electronics, Spring 2007

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How to find the volume of a pentagonal pyramid

πŸ‘‰ Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b

From playlist Volume and Surface Area

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PrepTest 5 Game 2: A Grouping Game with No Groups // Logic Games [#18] [LSAT Analytical Reasoning]

We've seen a grouping game with no elements before (https://youtu.be/5U0mlFdeZ6c), so how about a grouping game with no groups. This is the second game of the June 1992 LSAT games section. I suppose it's not quite right to say it has no groups. The way I diagram it is as if there are three

From playlist LSAT Games

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Lec 7 | MIT 6.002 Circuits and Electronics, Spring 2007

Incremental analysis View the complete course: http://ocw.mit.edu/6-002S07 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.002 Circuits and Electronics, Spring 2007

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A tale of two dynamos: turbulent large-scale and small-scale dynamos by Pallavi Bhat

Abstract: Coherent magnetic fields are ubiquitous in the universe as in the Sun, stars, galaxies and galaxy clusters. The theory of turbulent dynamos is the leading paradigm to understand the origin of these magnetic fields. A particularly generic process in turbulent astrophysical system

From playlist ICTS Colloquia

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Grigorios Paouris: Non-Asymptotic results for singular values of Gaussian matrix products

I will discuss non-asymptotic results for the singular values of products of Gaussian matrices. In particular, I will discuss the rate of convergence of the empirical measure to the triangular law and discuss quantitive results on asymptotic normality of Lyapunov exponents. The talk is bas

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

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Emily Riehl: On the ∞-topos semantics of homotopy type theory: The simplicial model of...- Lecture 2

HYBRID EVENT Recorded during the meeting "Logic and Interactions" the February 22, 2022 by the Centre International de Rencontres MathΓ©matiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual M

From playlist Topology

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Ruby Conference 2008 - Ruby Persistence in MagLev

By: Bob Walker, Allan Ottis Help us caption & translate this video! http://amara.org/v/GH3J/

From playlist Ruby Conference 2008

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What are four types of polygons

πŸ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Related pages

Rhombicuboctahedron | Uniformization theorem | Toroidal polyhedron | Vertex arrangement | Vertex figure | Compound of five small cubicuboctahedra | Faceting | Uniform star polyhedron | List of uniform polyhedra | Great cubicuboctahedron | Constant curvature | Mathieu group | Small rhombihexahedron | Quadrilateral | Immersion (mathematics) | Abstract polytope | Riemann surface | Wythoff symbol | Square | Klein quartic | Stellated truncated hexahedron | Cube | Octagon | Uniform tilings in hyperbolic plane | Octahedron | Geometry | Triangle | Order-7 triangular tiling