Types of polygons

Unicursal hexagram

The unicursal hexagram is a hexagram or six-pointed star that can be traced or drawn unicursally, in one continuous line rather than by two overlaid triangles. The hexagram can also be depicted inside a circle with the points touching it. It is often depicted in an interlaced form with the lines of the hexagram passing over and under one another to form a knot. It is a specific instance of the far more general shape discussed in Blaise Pascal's 1639 Hexagrammum Mysticum Theorem. (Wikipedia).

Unicursal hexagram
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Unicursal Graphs and Unicursal Lines | Semi-Eulerian Trails, Graph Theory

What are unicursal graphs and unicursal lines in graph theory? We'll define them, and provide examples in today's lesson! A unicursal line of a graph is an open trail containing every edge of the graph. By definition of open trail, it contains each edge exactly once, but may repeat vertic

From playlist Graph Theory

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Algebra and Artificial Intelligence

This is the audio from a talk I gave in May 2018 for the Melbourne logic seminar on the subject of algebra and artificial intelligence. The aim was to explain to an audience of logicians and mathematicians some of the recent progress in machine learning, and how events like the AlphaGo mat

From playlist Talks

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Ex 3: Simplify a Trigonometric Expression

This video explains how to simplify two trigonometric expressions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Reciprocal, Quotient, Negative, and Pythagorean Trigonometric Identities

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Spinons and magnetization plateaus in s=1/2 Kagome antfierromagnet YCu3(OH)6+xBr3-x -Kwang Yong Choi

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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What's on Your Mind: Series 3 - A Sam Howison Special

Take a mathematician with an endless curiosity about the world around him & the capacity of his subject to interpret it, & you have Series 3 of our #WhatsonYourMind films: a Sam Howison special featuring geometry, flying spiders &, of course, introducing Professor Pointyhead. Cast in orde

From playlist What's on Your Mind - 60 seconds inside the mind of an Oxford Mathematician

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Scripting a logo graph using Python

https://community.constellationlabs.io/ https://en.wikipedia.org/wiki/NetworkX https://en.wikipedia.org/wiki/Hexagon

From playlist Programming

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Solving a natural logarithmic equation using quadratic formula

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe

From playlist Solve Logarithmic Equations with Logs on Both Sides

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How to verify a trigonometric identity by using pythagorean identities

👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify that the term(s) on the left-hand side of the equality

From playlist Verify Trigonometric Identities

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Understand where the reciprocal and Quotient Identities come from

👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I

From playlist Learn About Trigonometric Identities

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Jewish Pirates - Lies - Extra History

Welcome Extra Historians to Lies, where we talk about the mistakes we made and the details we couldn't quite squeeze into the episode proper. All the flags we flipped and who was Sinan Reis? (We are all Sinan Reis) If you want to check out our recommended reading, you can find it on our P

From playlist Extra History: Jewish Pirates

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What is this Enormous Hexagon in the Australian Desert?

What on Earth? You may know of Area 51... but can you identify this top secret spot in Australia? Full Episodes Streaming FREE on Science GO: https://www.sciencechannelgo.com/what-on-earth/ Dig into more mysteries: http://www.sciencechannel.com/tv-shows/what-on-earth/ Subscribe to Scienc

From playlist What on Earth?

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What do I need to know for Simplifying Trigonometric Expressions

👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal, half-angle, double angle, Pythagorean, sum, and difference. I

From playlist Learn About Trigonometric Identities

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Verify an identity by multiplying by the conjugate

👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify that the term(s) on the left-hand side of the equality

From playlist Verify Trigonometric Identities

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Using the Pythagorean identity to verify an identity

👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify that the term(s) on the left-hand side of the equality

From playlist Verify Trigonometric Identities

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Verify trig identities with multiple identities

👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify that the term(s) on the left-hand side of the equality

From playlist Verify Trigonometric Identities

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What are parallel lines

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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離散数学入門#6: オイラーグラフと郵便配達員問題

早稲田大学の全学部の3〜4年生を対象とする全学オープン科目「離散数学入門」(担当教員:早水 桃子)の授業動画です.文理を問わず,誰でもグラフ理論やグラフアルゴリズムの初歩を学ぶことができます.グラフ理論の定理やグラフに関するアルゴリズムを正しく理解して,現実の諸問題を解決するための応用力を身につけましょう. --------------------------------------------------------------------------------------- 全ての辺をちょうど1回ずつ通過して一筆書きで巡回できるグラフをオイラーグラフといい,その一筆書

From playlist 離散数学入門Ⅲ

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Solve a logarithmic equation with quadratic formula

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe

From playlist Solve Logarithmic Equations with Logs on Both Sides

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