Magic squares

Pandiagonal magic cube

In recreational mathematics, a pandiagonal magic cube is a magic cube with the additional property that all broken diagonals (parallel to exactly two of the three coordinate axes) have the same sum as each other. Pandiagonal magic cubes are extensions of diagonal magic cubes (in which only the unbroken diagonals need to have the same sum as the rows of the cube) and generalize pandiagonal magic squares to three dimensions. In a pandiagonal magic cube, all 3m planar arrays must be panmagic squares. The 6 oblique squares are always magic. Several of them may be panmagic squares.A proper pandiagonal magic cube has exactly 9m2 lines plus the 4 main triagonals summing correctly (no broken triagonals have the correct sum.) The smallest pandiagonal magic cube has order 7. (Wikipedia).

Video thumbnail

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

Video thumbnail

Magic Folding Cube Variations

Maigc Folding Cube is very cool magical toy. And these toys are easy to make.

From playlist Handmade geometric toys

Video thumbnail

PARABOLIC DISH MIRROR REFLECTOR SPHERICAL SUN PARABOLIC SOLAR COOKER REFLECTIVE ALUMINUM

http://www.greenpowerscience.com/ This is a video demonstrating the 24" paraboloid which is roughly a 75% mirror vs. a spherical shape with a 95% mirror lining.

From playlist NEW VIDEOS

Video thumbnail

"Cube" Cube

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/L5R

From playlist 3D printing

Video thumbnail

Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

Video thumbnail

Magic Squares part 2: The odd 5×5 can make you win a bet.

Making the panmagic square with any number as the magic constant is a little tricky but the result is worth it. Playlist:https://youtube.com/playlist?list=PLV_8Ld73yCWEJlCA4LQrioGYgMCn4gN7x Part 1: https://youtu.be/dvkREHaqQWM Part 2: https://youtu.be/-r2VPdxjCqE Part 3: https://youtu.be

From playlist Magic Squares

Video thumbnail

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

Video thumbnail

Follow-up: Birthday Magic Square

This is my follow-up video to my birthday magic squares video https://youtu.be/hNn0j4Kay8g --- Yeah, I know the audio is messed up. It's not the mic, it's because I recorded via OBS, and that messed up the audio. Sometimes it's difficult to get all the tech working. I tried. If the audio

From playlist My Maths Videos

Video thumbnail

Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

Magic Squares part 3: The magic in the mirror.

Time to start to learn how to build even-order magic squares! Playlist:https://youtube.com/playlist?list=PLV_8Ld73yCWEJlCA4LQrioGYgMCn4gN7x Part 1: https://youtu.be/dvkREHaqQWM Part 2: https://youtu.be/-r2VPdxjCqE Part 3: https://youtu.be/seCFxxnid_0 Part 4: https://youtu.be/2h3DHubiROo

From playlist Magic Squares

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Determine if a set of points is a parallelogram using the distance formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Related pages

Pandiagonal magic square | Diagonal magic cube | Magic cube | Magic cube classes | Broken diagonal | Recreational mathematics | Magic square