A magic hexagon of order n is an arrangement of numbers in a centered hexagonal pattern with n cells on each edge, in such a way that the numbers in each row, in all three directions, sum to the same magic constant M. A normal magic hexagon contains the consecutive integers from 1 to 3n2 − 3n + 1. It turns out that normal magic hexagons exist only for n = 1 (which is trivial, as it is composed of only 1 cell) and n = 3. Moreover, the solution of order 3 is essentially unique. Meng also gave a less intricate constructive proof. The order-3 magic hexagon has been published many times as a 'new' discovery. An early reference, and possibly the first discoverer, is (1887). (Wikipedia).
What's a Hexagon? Geometry Terms and Definitions
Some polygons have 6 sides. Some animals have 6 legs. Coincidence?? Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://w
From playlist Socratica: The Geometry Glossary Series
Area of an interior hexagon (visual proof) - plus a bonus area!
This is a short, animated visual proof of a relatively recent proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has been created from the region obtained by connecting vertices of the outer hexagon to appropriate edge midpoints of the outer
From playlist Proofs Without Words
Area of a Regular Hexagon in a Regular Hexagon (visual proof)
This is a short, animated visual proof of a classic proof about the area of the certain regular hexagon inside of a regular hexagon. The inner hexagon has side length equal to the distance between corresponding vertices on the two hexagons. #manim #math #mathvideo #mathshorts #geometry #he
From playlist Proofs Without Words
Constructing an Inscribed Regular Hexagon Inside a Circle with a Compass
Learn how to construct an inscribed regular hexagon in this free math video tutorial by Mario's Math Tutoring. 0:10 Draw a Circle 0:27 Locate Center Point and Draw Arcs Around the Circle with the Same Distance as the Radius 1:13 Use Points of Intersection to Draw Line Segments 1:37 Defi
From playlist Geometry Constructions
Constructing a Hexagon (with a compass)
This video focuses on how to construct a regular hexagon with a compass and straightedge. I also explain the concept of why the construction works by exploring the anatomy of a regular hexagon. If you found this video helpful, please click the LIKE and SUBSCRIBE buttons below, it helps me
From playlist Geometry
Square and Regular Hexagon Action: Challenge Problem
Link: https://www.geogebra.org/m/dxsNFYWQ
From playlist Geometry: Challenge Problems
How To Make a Hexaflexagon: The Definitive Guide
Printable patterns: http://vihart.com/hexaflexagons Shirts (we only printed a limited run, sorry if we're sold out of your favourite!): https://store.dftba.com/collections/vi-hart This video is supported not mostly by shirts but mostly by viewers like you! Thanks especially to: Caleb Wri
From playlist Hexaflexagon Series
Dr James Grime talking Magic Hexagons (and magic squares). More links & stuff in full description below ↓↓↓ Support us on Patreon and get extra stuff: http://www.patreon.com/numberphile James Grime: http://singingbanana.com Support us on Patreon: http://www.patreon.com/numberphile NUMB
From playlist James Grime on Numberphile
More important than knowing a bunch of digits in the decimal approximation of Pi is to understand what Pi means. Pi is the ratio of the Circumference to the Diameter of any circle. Multiply the diameter by Pi to get the circumference or divide the circumference by pi to get the diameter.
From playlist Lessons of Interest on Assorted Topics
Geometry: Ch 4 - Geometric Figures (11 of 18) The Regular Hexagon Analyzed with Trig
Visit http://ilectureonline.com for more math and science lectures! In this video I will further explain the regular hexagon using trigonometry the details of the regular hexagon. Next video in this series can be seen at: https://youtu.be/oaT0pSYDVZI
From playlist GEOMETRY 4 - GEOMETRIC FIGURES
David Hall - Recipe for a 'bola Honeycombs - G4G13 Apr 2018
Develop a honeycomb grid of integers which becomes the basis for a 3D parabolic polyheda.
From playlist G4G13 Videos
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
Phase space representation of billiards interpolating between a circle and a hexagon
In this simulation, I wanted to see what happens when you continuously deform the boundary of a billiard from a circle to a regular hexagon. The billiard in a circle has very regular dynamics (the technical work is "integrable"), because a given trajectory always hits the boundary with the
From playlist Particles in billiards
Can you solve Dongle's Difficult Dilemma? - Dennis E. Shasha
Practice more problem-solving at https://brilliant.org/TedEd -- According to legend, three galactic terraformers shaped your planet into a paradise. When their work was done, they left the source of their power behind: three golden hexagons, hidden in dungeons full of traps and monsters.
From playlist New TED-Ed Originals
Pure CSS 🌀 grid wave with Houdini magic 🎩🐇✨
Live demo https://codepen.io/thebabydino/pen/yLJreRz If the work I've been putting out for over 8 years now has helped you in any way or you just like it, you can support it and help me stay afloat: * you can be a cool cat 😼🎩 and become a patron on Patreon https://www.patreon.com/anatudo
From playlist CSS variables
The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes?
I only stumbled across the amazing arctic circle theorem a couple of months ago while preparing the video on Euler's pentagonal theorem. A perfect topic for a Christmas video. Before I forget, the winner of the lucky draw announced in my last video is Zachary Kaplan. He wins a copy of m
From playlist Recent videos
Amazing Physics Gadgets You Didn't Know Exist
Hi Everyone :) Welcome back! I get asked often: "Where did you get all this stuff?" My goal is to share the real magic of science and physics- and to this end I will update here (and in my store) suggestions on where to get some of these toys, kinetic art pieces, and scientific curiositi
From playlist Recently added
Super Hexagon for Trigonometric Identities | Trigonometry | Don't Memorise
✅Register here ➡️ https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=T7D1W1oD8wo&utm_term=%7Bkeyword%7D 👉Recorded Classes 👉Access to Assessments 👉Excellent Content by Experts in Field This magical hexagon will help you with ALL the tr
From playlist Middle School - Trigonometry
Hugo Duminil Copin - Compter les chemins auto-évitants sur le réseau en nid d'abeille
IHES, Prix Jacques Herbrand 2017 Réalisation technique : Antoine Orlandi (GRICAD) | Tous droits réservés
From playlist Des mathématiciens primés par l'Académie des Sciences 2017
In this video, we explore the differences between starting with a random dot in a regular hexagon and iterating the procedure of choosing a hexagon vertex at random and moving either half the distance from the current dot to the chosen vertex OR two thirds the distance from the current dot
From playlist Fractals