Magic shapes

Magic hexagon

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).

Magic hexagon
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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

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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

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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

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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

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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

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Square and Regular Hexagon Action: Challenge Problem

Link: https://www.geogebra.org/m/dxsNFYWQ

From playlist Geometry: Challenge Problems

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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

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Magic Hexagon - Numberphile

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

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The Meaning of Pi

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

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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

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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

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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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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

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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

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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

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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

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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

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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

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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

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Chaos Game in a Hexagon

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

Related pages

Magic constant | Magic hexagram | Triangular number | Parity (mathematics) | Mathematical proof | Integer | Centered hexagonal number | Hexagonal tortoise problem