Regular graphs | Individual graphs
In the mathematical field of graph theory, the Pappus graph is a bipartite 3-regular undirected graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus configuration. It is named after Pappus of Alexandria, an ancient Greek mathematician who is believed to have discovered the "hexagon theorem" describing the Pappus configuration. All the cubic distance-regular graphs are known; the Pappus graph is one of the 13 such graphs. The Pappus graph has rectilinear crossing number 5, and is the smallest cubic graph with that crossing number (sequence in the OEIS). It has girth 6, diameter 4, radius 4, chromatic number 2, chromatic index 3 and is both 3-vertex-connected and 3-edge-connected. It has book thickness 3 and queue number 2. The Pappus graph has a chromatic polynomial equal to: . The name "Pappus graph" has also been used to refer to a related nine-vertex graph, with a vertex for each point of the Pappus configuration and an edge for every pair of points on the same line; this nine-vertex graph is 6-regular, is the complement graph of the union of three disjoint triangle graphs, and is the complete tripartite graph K3,3,3. The first Pappus graph can be embedded in the torus to form a self-Petrie dual regular map with nine hexagonal faces; the second, to form a regular map with 18 triangular faces. The two regular toroidal maps are dual to each other. (Wikipedia).
http://demonstrations.wolfram.com/PappusChain/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The Pappus chain extends across at least two millennia of mathematics. Its origins trace back to the ancient Greek ma
From playlist Wolfram Demonstrations Project
This geometry video tutorial provides a basic introduction into the pythagorean theorem. It explains how to use it to find missing sides and solve for x. In addition, it provides examples of solving word problems using pythagorean theorem for shapes such as right triangles, squares, rhom
From playlist Geometry Video Playlist
Theorem of Pappus to find Volume of Revolution Calculus 2
If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profrobbob I introduce the Theorem of Pappus and then work through 2 examples. The first example is finding the volume of a Tarus at 2:40 and the second ex
From playlist Calculus 2
Tree Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Mechanical Engineering: Centroids & Center of Gravity (30 of 35) Area, Vol=? using Pappus-Guldinus
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the area and volume of a ½ circle rotated about the x-axis. Next video in this series can be seen at: https://youtu.be/fDJWSK-wWtk
From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY
What is a Graph? | Graph Theory
What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each
From playlist Graph Theory
Let’s Get To Know The Pythagorean Theorem….Step-by-Step….
TabletClass Math: https://tcmathacademy.com/ Math help with the Pythagorean Theorem. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes: https://tabletclass
From playlist GED Prep Videos
Graph of x^2 + y^2 + pxy as p varies
From playlist 3d graphs
Linear graphs for Physics and Maths -: from fizzics.org
Graphs are an important visual means of proving and displaying numerical connections. Linear or straight line graphs are produced for example when plotting current against PD for a fixed resistance, distance against time for a given speed and the energy of a photon plotted against frequenc
From playlist Maths for physics
finding the volume of a Krispy Kreme donut by using calculus
Use my link today to get $250 off of the Polygence program! https://bit.ly/3tQV85h We will find the volume of a Krispy Kreme donut by using calculus! I always show my students how to find the volume of a donut (aka the volume of a torus) during my last calculus 1 lecture. I would also bu
From playlist Binge-able math for fun videos (2022)
Mechanical Engineering: Centroids & Center of Gravity (25 of 35) Pappus-Guldinus Theorem 2 Explained
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the first theorem of Pappus-Guldinius of finding the volume of an object. Next video in this series can be seen at: https://youtu.be/Ca-hf-1RtY8
From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY
Theorem of Pappus (KristaKingMath)
► My Applications of Integrals course: https://www.kristakingmath.com/applications-of-integrals-course Learn how to use the Theorem of Pappus to find the volume of a solid, in this particular case, a right circular cone. Theorem of Pappus tells us that volume is equal to area of the plane
From playlist Calculus II
Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,
From playlist Introducing graph theory
Mechanical Engineering: Centroids & Center of Gravity (26 of 35) Area=? using Pappus-Guldinus
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the area of a straight line from the origin rotated about the axis (hollow cone). Next video in this series can be seen at: https://youtu.be/YoGMKCUBxyI
From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY
Mechanical Engineering: Centroids & Center of Gravity (29 of 35) Area=? using Pappus-Guldinus
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the area (hollow doughnut) of a circle away from the origin rotated about the x-axis. Next video in this series can be seen at: https://youtu.be/3tqdTQavUt8
From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY
Mechanical Engineering: Centroids & Center of Gravity (24 of 35) Pappus-Guldinus Theorem 1 Explained
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the first theorem of Pappus-Guldinius of finding the area of an object. Next video in this series can be seen at: https://youtu.be/ZQv-eF80FA0
From playlist MECHANICAL ENGINEERING 4 - CENTER OF GRAVITY
Finding the Equation of the Parabola Given a Point and the Vertex
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Equation of the Parabola Given a Point and the Vertex. We are also told which way the parabola opens.
From playlist Parabolas