Magic squares

Pantriagonal magic cube

A pantriagonal magic cube is a magic cube where all 4m2 pantriagonals sum correctly. There are 4 one-segment pantriagonals, 12(m − 1) two-segment pantriagonals, and 4(m − 2)(m − 1) three-segment pantriagonals. This class of magic cubes may contain some simple magic squares and/or pandiagonal magic squares, but not enough to satisfy any other classifications. The magic constant for magic cubes is S = m(m3 + 1)/2. A proper pantriagonal magic cube has 7m2 lines summing correctly. It contains no magic squares. The smallest pantriagonal magic cube has order 4. A pantriagonal magic cube is the 3-dimensional equivalent of the pandiagonal magic square – instead of the ability to move a line from one edge to the opposite edge of the square with it remaining magic, you can move a plane from one edge to the other. (Wikipedia).

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Converse Pythagorean Theorem & Pythagorean Triples

I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. Find free review test, useful notes and more at http://www.mathplane.com 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/Profro

From playlist Geometry

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Canonical structures inside Platonic solids II | Universal Hyperbolic Geometry 50 | NJ Wildberger

The cube and the octahedron are dual solids. Each has contained within it both 2-fold, 3-fold and 4-fold symmetry. In this video we look at how these symmetries are generated in the cube via canonical structures. Along the way we discuss bipartite graphs. This gives us more insight into t

From playlist Universal Hyperbolic Geometry

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The Pythagorean Theorem I: Two Proofs and a Corollary

Are you interested in math or physics tutoring for you or someone you know? Please check out my website for more details of my registered business, or give me a call or email anytime! https://www.whatthehectogon.com/ +1 (973) 597-8775 sam@whatthehectogon.com In this video lesson, I intr

From playlist Geometry

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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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The Beauty of Fractal Geometry (#SoME2)

0:00 — Sierpiński carpet 0:18 — Pythagoras tree 0:37 — Pythagoras tree 2 0:50 — Unnamed fractal circles 1:12 — Dragon Curve 1:30 — Barnsley fern 1:44 — Question for you! 2:05 — Koch snowflake 2:26 — Sierpiński triangle 2:47 — Cantor set 3:03 — Hilbert curve 3:22 — Unnamed fractal squares 3

From playlist Summer of Math Exposition 2 videos

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Cracking the 4D Rubik's Cube with simple 3D tricks

This video is an introduction to the mysterious 4D Rubik's cube. Here my main focus is on revealing some ingenious tricks that will allow you to design your own algorithms for this crazy puzzle based on what you already know about the normal Rubik's cube. Part 2 of this video is a hands

From playlist Recent videos

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Bronna Butler - Math Glass - CoM Apr 2021

Abstract: Can an ancient, non-crystalline, transparent amorphous solid, such as glass, illustrate recent mathematical discoveries, and perhaps create compelling puzzles? Glass can be formed in a variety of ways, for example, it can be a result of volcanic action, lightning striking sand,

From playlist Celebration of Mind 2021

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A simple trick to design your own solutions for Rubik's cubes

The vast majority of people who tackle the Rubik's cube never succeed in solving it without looking up somebody else's solution. In this video the Mathologer reveals a simple insight that will enable all those of you who can solve the first layer to design your own full solution for the Ru

From playlist Recent videos

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AI + AR Superpowers!

Do you remember the name of every person you've ever met? Where you've left your keys? Would you like to? What if face recognition and an Augmented Reality headset could give you this ability? This inspiring talk will show you the key ingredients of developing an application that integrate

From playlist Machine Learning

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Pythagorean Theorem Exploration in Mathigon Polypad

#Mathigon Links: https://mathigon.org/polypad/ZQJA7AWTSalm4Q & https://mathigon.org/polypad/X27ApMYVw3Y3Fw

From playlist Mathigon Demos and Ideas

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Pythagorean Theorem (via Areas of Similar Parallelograms)

GeoGebra Resource: https://www.geogebra.org/m/qmnh7cep Note: The parallelograms built off the sides of this right triangle are all similar.

From playlist Geometry: Dynamic Interactives!

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The cube shadow theorem (pt.2): The best hypercube shadows

NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Make sure to watch part 1 of this video before you watch part 2: https://youtu.be/rAHcZGjKVvg In this s

From playlist Recent videos

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Mark Setteducati - The Magic of Inventing - CoM Apr 2021

For more than 40 years, Mark Setteducati has created games, puzzles and magic tricks that he has sold to toy companies around the world. Where do his ideas come from? Watch and find out how he does it. Mark is a co-founder and past President of the Gathering for Gardner. He is a Magician

From playlist Celebration of Mind 2021

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The magic of physics - with Felix Flicker

Join Felix Flicker as he introduces the magic of condensed matter physics, from the subtle spells that conjure crystals from chaos, to creating new particles which have never before been seen. Watch the Q&A here: https://youtu.be/gfk0Y6STlNw Felix's book 'The Magick of Matter: Crystals, C

From playlist Ri Talks

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Lattice Multiplication Explained - Math Animation

Lattice multiplication is a fast and easy way to multiply numbers and even polynomials. You write the digits of one number as different columns and the digits of the other number as different rows. Then you multiply the digits in the columns and the rows, one by one, and add up the numbers

From playlist Mental Math Tricks

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Magician Reacts To ACTUAL Black Magic!!

Today we're havin a look at the blackmagic****ery subreddit. Twitch: https://www.twitch.tv/chrisramsay52 Playing Cards: http://www.artofplay.com?rfsn=727406.8b95f CHRIS RAMSAY MERCH: https://ramfamshop.com/ INSTAGRAM: https://www.instagram.com/chrisramsay52 TWITTER: https://www.twitter

From playlist REACTING TO MAGIC

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Finding Moonshine: A Mathematician's journey through symmetry

Professor Marcus du Sautoy, University of Oxford Filmed at The Royal Society, London on Thu 21 Feb 2008 6.30pm-7.30pm For more information visit http://royalsociety.org/events/2008/finding-moonshine

From playlist Latest talks and lectures

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Magician Reacts to ACTUAL Magic!!

Today I'm taking a look at some of my favorite magic accounts on Instagram, be sure to give them all a follow!! UNCUT SHEETS: http://www.chris-ramsay.com/store/p20/1ST_Playing_Cards_V2_Uncut_Sheet.html Shinlim: https://www.instagram.com/shinlimmagic/ Felix Bodden: https://www.instagram.co

From playlist REACTING TO MAGIC

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3D Cube in Geogebra

3D Cube in Geogebra 3D Kocka u Geogebri In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

Related pages

Pandiagonal magic square | Magic cube | Magic cube classes | Magic square