Planar graphs | Parametric families of graphs

Nested triangles graph

In graph theory, a nested triangles graph with n vertices is a planar graph formed from a sequence of n/3 triangles, by connecting pairs of corresponding vertices on consecutive triangles in the sequence. It can also be formed geometrically, by gluing together n/3 − 1 triangular prisms on their triangular faces.This graph, and graphs closely related to it, have been frequently used in graph drawing to prove lower bounds on the area requirements of various styles of drawings. (Wikipedia).

Nested triangles graph
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Label the parts of a triangle ex 1

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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What is an Included Side of a Triangle - Congruent Triangles

👉 Learn about the included angles of a triangle. An included angle of a triangle is the angle between two sides of a triangle. An included side of a triangle is the side between two angles. To show that two triangles are congruent by the side angle side (SAS) congruency theorem, we must s

From playlist Congruent Triangles

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How do you find all of the sides for a equilateral triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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What is an Included Angle - Congruent Triangles

👉 Learn about the included angles of a triangle. An included angle of a triangle is the angle between two sides of a triangle. An included side of a triangle is the side between two angles. To show that two triangles are congruent by the side angle side (SAS) congruency theorem, we must s

From playlist Congruent Triangles

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Determining if Two Triangles are Congruent by Plotting Points

👉 Learn how to show whether two triangles are congruent from the coordinate (x-y) plane. Two or more triangles are said to be congruent if they have the same shape and size. To show whether two triangles whose points on the coordinate plane are given we first plot the points on the coordin

From playlist Congruent Triangles

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"Hubness" from graph theory

This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.

From playlist NEW ANTS #4) Synchronization

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How to Determine if an Angle is Included or Not - Congruent Triangles

👉 Learn about the included angles of a triangle. An included angle of a triangle is the angle between two sides of a triangle. An included side of a triangle is the side between two angles. To show that two triangles are congruent by the side angle side (SAS) congruency theorem, we must s

From playlist Congruent Triangles

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Learn how to determine the missing variable given an isosceles triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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What are congruent polygons - Congruent Triangles

👉 Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the

From playlist Congruent Triangles

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Tao Hou (5/13/20): Computing minimal persistent cycles: Polynomial and hard cases

Title: Computing minimal persistent cycles: Polynomial and hard cases Abstract: Persistent cycles, especially the minimal ones, are useful geometric features functioning as augmentations for the intervals in the purely topological persistence diagrams (also termed as barcodes). In our ear

From playlist AATRN 2020

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Science & Technology Q&A for Kids (and others) [Part 31]

Stephen Wolfram hosts a live and unscripted Ask Me Anything about science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Q&A: 0:00 Stream starting 2:40 Stephen begins th

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Automated Planar Geometry

We present updates to the automated geometric functionality of the Wolfram Language introduced in Version 12 and display new functionality for automated geometric reasoning.

From playlist Wolfram Technology Conference 2021

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What is the Definition of Congruent Triangles - Congruent Triangles

👉 Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the

From playlist Congruent Triangles

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Lukas NABERGALL - Tree-like Equations from the Connes-Kreimer Hopf Algebra...

Tree-like Equations from the Connes-Kreimer Hopf Algebra and the Combinatorics of Chord Diagrams We describe how certain analytic Dyson-Schwinger equations and related tree-like equations arise from the universal property of the Connes-Kreimer Hopf algebra applied to Hopf subalgebras o

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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AMMI 2022 Course "Geometric Deep Learning" - Seminar 2 (Subgraph GNNs) - Fabrizio Frasca

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 Seminar 2 - Subgraphs for more powerful GNNs - Fabrizio Frasca (Twitter) Slides: https://www.dropbox.com/s/tnuhppf1fqmv6y9/AIMS%202020%20-%20Seminar%202%20-%20Subgra

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

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Set Chasing, with an application to online shortest path - Sébastien Bubeck

Computer Science/Discrete Mathematics Seminar I Topic: Set Chasing, with an application to online shortest path Speaker: Sébastien Bubeck Affiliation: Microsoft Research Lab - Redmond Date: April 18, 2022 Since the late 19th century, mathematicians have realized the importance and genera

From playlist Mathematics

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Hierarchy Hyperbolic Spaces (Lecture - 02) by Jason Behrstock

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

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Using the Isosceles triangle theorem to find the measure of x

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

Related pages

Graph theory | Integer lattice | Fáry's theorem | Area (graph drawing) | K-vertex-connected graph | Vertex (graph theory) | Planar graph | Triangular bifrustum | Steinitz's theorem | Triangular prism