Mathematical notation | Polyhedra | Elementary geometry
In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations. Conway and Hart extended the idea of using operators, like truncation as defined by Kepler, to build related polyhedra of the same symmetry. For example, tC represents a truncated cube, and taC, parsed as t(aC), is (topologically) a truncated cuboctahedron. The simplest operator dual swaps vertex and face elements; e.g., a dual cube is an octahedron: dC = O. Applied in a series, these operators allow many to be generated. Conway defined the operators a (ambo), b (bevel), d (dual), e (expand), g (gyro), j (join), k (kis), m (meta), o (ortho), s (snub), and t (truncate), while Hart added r (reflect) and p (propellor). Later implementations named further operators, sometimes referred to as "extended" operators. Conway's basic operations are sufficient to generate the Archimedean and Catalan solids from the Platonic solids. Some basic operations can be made as composites of others: for instance, ambo applied twice is the expand operation (aa = e), while a truncation after ambo produces bevel (ta = b). Polyhedra can be studied topologically, in terms of how their vertices, edges, and faces connect together, or geometrically, in terms of the placement of those elements in space. Different implementations of these operators may create polyhedra that are geometrically different but topologically equivalent. These topologically equivalent polyhedra can be thought of as one of many embeddings of a polyhedral graph on the sphere. Unless otherwise specified, in this article (and in the literature on Conway operators in general) topology is the primary concern. Polyhedra with genus 0 (i.e. topologically equivalent to a sphere) are often put into canonical form to avoid ambiguity. (Wikipedia).
What is the definition of scientific notation
π Learn about scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the number of digits up to t
From playlist Scientific Notation | Learn About
Twitch Talks - Polygons & Polyhedra
Presenter: Charles Pooh Wolfram Research developers demonstrate the new features of Version 12 of the Wolfram Language that they were responsible for creating. Previously broadcast live on June 13, 2019 at twitch.tv/wolfram. For more information, visit: https://www.wolfram.com/language/12
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Remembering John Conway - Part 4
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From playlist Tributes & Commemorations
Find the quotient between two numbers by converting to scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation
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π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Amina Buhler-Allen & Paul Hildebrandt - Tribute to Marc Pelletier - G4G13 Apr 2018
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Some comments on the notation used in Calculus, and how the notation relates to a function that it represents.
From playlist Calculus Chapter 5 (selected videos)
Thanks to John and Jane Kosticks (http://www.kosticks.com) for telling me about the geometry this is based on. Five racks, each with two beams, slide through each other. In Thurston-Conway orbifold notation, this has symmetry type 5x. Available at http://shpws.me/QGcX.
From playlist 3D printing
Dividing two numbers in scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation
Finding product of two numbers when they are in scientific notation
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Multiplying numbers in scientific notation
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Remembering John Conway - Full Video
Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories
From playlist Tributes & Commemorations
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Everything you need to know about scientific notation. Like what scientific notation and standard notation is, a detailed explanation of what the typical scientific notation template looks like. You'll learn how to convert from scientific notation to standard notation and from standard not
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Igor Rivin Temple University; Member, School of Mathematics March 16, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Determine the product of two very large numbers by converting to scientific notation
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
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AlgTop16: Rational curvature of polytopes and the Euler number
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Determining the quotient of two numbers in scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation