Planar graphs | Regular graphs

Archimedean graph

In the mathematical field of graph theory, an Archimedean graph is a graph that forms the skeleton of one of the Archimedean solids. There are 13 Archimedean graphs, and all of them are regular, polyhedral (and therefore by necessity also 3-vertex-connected planar graphs), and also Hamiltonian graphs. Along with the 13, the set of infinite prism graphs and antiprism graphs can also be considered Archimedean graphs. (Wikipedia).

Archimedean graph
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Device for milling Archimedean spiral groove 1

Combination of bevel gear satellite drive and nut-screw one.

From playlist Mechanisms

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The Archimedean Spiral | Visually Explained (animation code also explained)

This is a video explaining what is so extraordinary about Archimedes, and the geometric things he did back in the BC. This is a partial explanation of the topic, and a partially explaining the code. Timecodes: 0:00 - Intro 0:11 - Archimedean Spirals 3:40 - The Exhaustion Method 5:38 - Ma

From playlist ManimCE Tutorials 2021

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Archimedean Spire

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

From playlist 3D printing

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Archimedean drive 3a

The green and orange coaxial wheels of Archimedean grooves are identical. The pink pin slides in both grooves and in a straight slot of a fixed bar. The two wheels rotate in opposite directions with the same speed. Pitch of the Archimedean groove must be big enough to prevent possible jam.

From playlist Mechanisms

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Archimedean drive 2b

The green and orange wheels of Archimedean grooves are identical. The green one is input. The pink pin slides in both grooves and in a straight slot of a immobile bar. The slot is on the line connecting axes of the two wheels. Two wheels rotate in the same direction with the same speed, li

From playlist Mechanisms

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What is the Archimedes’ Principle? | Gravitation | Physics | Don't Memorise

We can bet you've heard about the Archimedes' principle at least once in your life. But do you know what it really means? Watch this video to find out. To get access to the entire course based on Gravitation, enroll here - https://infinitylearn.com/microcourses?utm_source=youtube&utm_med

From playlist Physics

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The Archimedean Property and How to Use it in a Proof

The Archimedean Property and How to Use it in a Proof

From playlist Advanced Calculus

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Archimedes Spiral Gear Mechanism

This unusual gear mechanism is based around an Archimedes Spiral. Tim was given it by a friend, who made it using 3D printing. Happy New Year to you all from everyone at Grand Illusions!

From playlist Engineering

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Raf Cluckers: Pfaffian functions: real and non-archimedean, and an application to...

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Jean-Morlet Chair - Hauser/Rond

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Archimedean Theory - Alex Kontorovich

Speaker: Alex Kontorovich (Rutgers/IAS) Title: Archimedean Theorem More videos on http://video.ias.edu

From playlist Mathematics

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Maxim Kontsevich - 4/4 Bridgeland Stability over Non-Archimedean Fields

Bridgeland stability structure/condition on a triangulated category is a vast generalization of the notion of an ample line bunlde (or polarization) in algebraic geometry. The origin of the notion lies in string theory, and is applicable to derived categories of coherent sheaves, quiver re

From playlist Maxim Kontsevitch - Bridgeland Stability over Non-Archimedean Fields

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Algebraic curves, tropical geometry, and moduli - Sam Payne

Sam Payne Yale University February 11, 2015 Tropical geometry gives a new approach to understanding old questions about algebraic curves and their moduli spaces, synthesizing techniques that range from Berkovich spaces to elementary combinatorics. I will discuss an outline of this method,

From playlist Mathematics

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Thin Groups and Applications - Alex Kontorovich

Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu

From playlist Analysis and Beyond

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First steps of non-archimedean enumerative geometry - Tony Yue Yu

Short talks by postdoctoral members Topic: First steps of non-archimedean enumerative geometry Speaker: Tony Yue Yu Affiliation: Member, School of Mathematics Date: January 30, 2017 For more video, visit http://video.ias.edu

From playlist Mathematics

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Archimedes Parabolic Area Formula for Cubics! | Algebraic Calculus One | Wild Egg

The very first and arguably most important calculation in Calculus was Archimedes' determination of the slice area of a parabola in terms of the area of a suitably inscribed triangle, involving the ratio 4/3. Remarkably, Archimedes' formula extends to the cubic case once we identify the ri

From playlist Old Algebraic Calculus Videos

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AlgTop8: Polyhedra and Euler's formula

We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and the flow down a sphere. This is the eighth lecture in this beginner's

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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Maxim Kontsevich - New Life of D-branes in Math

One of the most wonderful gifts from string theory to pure mathematics comes from Mike Douglas' ideas on the decay of D-branes and walls of marginal stability. Tom Bridgeland formalized structures discovered by Mike as stability conditions in abstract triangulated categories. This notion b

From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday

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Archimedean drive 1c

The green and orange cams have different Archimedean profiles (pitches p1 and p2, p1 = 2.p2). The green one is input. Two cams rotate in opposite directions with different speeds, like in a drive of two gears of different tooth numbers. Transmission ratio = 1/2. Pitch of the Archimedean p

From playlist Mechanisms

Related pages

Platonic graph | Graph theory | K-vertex-connected graph | Graph (discrete mathematics) | Order (graph theory) | Antiprism graph | Archimedean solid | Regular graph | Mathematics | Prism graph | Vertex (graph theory) | Planar graph | Quartic graph | Wheel graph | Cubic graph | Degree (graph theory) | Polyhedral graph