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 Post subject: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 2:18 pm 
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Ok... before scrolling down, please wear your sunglasses -----> 8-) , as the colours are too dazzling!


This is where you start...

Attachment:
Happier_Cube_00.jpg
Happier_Cube_00.jpg [ 33.92 KiB | Viewed 3269 times ]




... and this is where you end up!

Attachment:
Happier_Cube_01.jpg
Happier_Cube_01.jpg [ 33.65 KiB | Viewed 3269 times ]

Attachment:
Happier_Cube_02.jpg
Happier_Cube_02.jpg [ 34.81 KiB | Viewed 3269 times ]



This is the much Hyped Happier Hyper Cube (can you say this ten times?),
which can change its dazzling colors when going inside out. The goal (as seen)
is to exchange the outside blue cube with the inside red cube, and vice versa.

It is based on a 3D projection of the HyperCube (duh!) and it is equipped with
four dimensional symmetry to exchange any of edges.

It is not as rigid as the Hyperion (the other HyperCube variant that I made),
so it is easier to manipulate it. However, adjusting and calibrating can take some time!!!

And here are some of his friends, the Cute Cube and the Pink Star!
(can you find which of the previous telescopic puzzles they correspond to?)

Attachment:
Happier_Cube_03.jpg
Happier_Cube_03.jpg [ 40.17 KiB | Viewed 3269 times ]



VIDEO HERE
(The video was taken at the headquarters of the Mechanical & Mathematical Puzzle Club)

I somehow cannot stand how cute and fluffy they are!!!

:lol:


Pantazis

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Last edited by kastellorizo on Thu Aug 12, 2010 6:46 pm, edited 1 time in total.

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 2:21 pm 
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They look fantastic. :D

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 2:21 pm 
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THAT is what you HAVE to mass-produce !!! :shock: :D :D :D

- Greg :lol:

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 2:26 pm 
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Can you make instructions for it because I want one! :mrgreen:

Edit : Are those chinese finger traps :lol:

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 2:37 pm 
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Pink star is the pentachoron, right?

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 2:44 pm 
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Bingo!!

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 3:40 pm 
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Seeing this cube made me... happy :D I bet it's quite amazing playing around with it.


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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 4:15 pm 
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IT'S SO HAPPY I'M GONNA DIE!

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 4:18 pm 
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Congratulations Pantazis! This new design style is MUCH more simple!
NOW I cant wait to get one!!

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 6:25 pm 
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this new design looks awesome, and slightly more durable, and it sounds like Velcro.


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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 6:42 pm 
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This looks so pretty! I definitely think these puzzles look better in this format. Also, puzzle on the left is the pentachoron (Chronos? doing that by memory, could be wrong) and on the right I think is the Houlis Cube.

After looking at the video, it looks like it could easily be tied in knots. Makes it a good representation of the brain of someone when they first try to understand 4D shapes like the tesseract! Looks like a lot of fun though :D

Matt


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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 6:54 pm 
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Literally a must-have.

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Thu Aug 12, 2010 10:49 pm 
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Thanks for the kind words everyone, I am now Happier than the Cube! :lol:

Yes, I believe it will be mass produced, but please do not ask me when!
(definitely before I die LOL)

The puzzle looks simple to make, but its structure is based on some
not so obvious principles which allow it to be stable. I would love to
give the instructions, but then, I am sure people who are not so
innocent will use it for more sinister reasons! (and we *don't* want this!)

And yes, the Pink Star is Chronos' little sister, while the Cute Cube
is the Houlis Cube's cousin (we are such a big family LOL)

One thing is for sure... by only watching this little mesmerizing object
makes me happy, while playing with it, makes me giggle!

Hyperion's moves are less obvious, because it is rigid and you cannot
go around certain moves like you can with the easy-to-bend Happier Cube.

But the Happier Cube is certainly more colorful, lighter, difficult to break
because it has no hard parts, and did I say colorful?

:lol:


Pantazis

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sat Aug 14, 2010 7:53 am 
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Location: Kaunas, Lithuania
Pantazis,

those are much more appealing, compared to ones you demonstrated at IPP. And now, after I've watched those movies on
http://www.dimensions-math.org/
I feel much better prepared to meet those aliens you brought from higher dimensions and your creativity.
And one more thing... I like my signature, especially replying to the post like this :wink:

Juozas

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sat Aug 14, 2010 3:19 pm 
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Juozas Granskas wrote:
Pantazis, those are much more appealing, compared to ones you demonstrated at IPP.


Hi Juozas! :)

Indeed, the telescopic ones look very intimidating, but they work better! I like the fact
that they can keep their straight shape, but that at the same time makes them vulnerable
to someone who gets frustrated and then bends them (and in the end they break!)

The plastic ones are virtually unbreakable, and the challenge is much easier, but they are more
tedious when it comes to the final calibration. This is why in the telescopic video it took me
around 2-3 minutes to solve Hyperion, but it took around 7-8 minutes to solve the Happier Cube!



Juozas Granskas wrote:
And now, after I've watched those movies on http://www.dimensions-math.org/
I feel much better prepared to meet those aliens you brought from higher dimensions and your creativity.


Thank you for this link, I watched some of those videos, and I must say they were very enjoyable!
(I got a few flashbacks from my undergraduate years!). And I liked the fact that the narrator felt
the same way I feel for the 24-cell (icositetrachoron). It is an astounding polytope, the perfect paradigm
of the amazing symmetry only found in the four dimensions, one of a kind!!!



Juozas Granskas wrote:
And one more thing... I like my signature, especially replying to the post like this :wink: Juozas


Juozas, this is a very flattering comment, especially coming from such a distinguished academic like you.
I am a firm believer that all of us have some big talent, but the even bigger challenge is to find it.

And I may use this as a chance to underline (again) the importance of those designs. I am not sure
if most people have actually completely grasped the achievement. At the IPP many people were
simply picking up Chronos, looked at it for 4-5 seconds, and then put it down. But there were five
people who understood the symmetry and we had some terrific discussions. And all of those five
people were mathematicians or their profession was related to mathematics.

I know that time is my friend, and that in time, people will realise what had happened in July 2010.
Which is one of the many reasons, I baptised the first 4D symmetry puzzle as Chronos (= The God of Time).

To finish off with some related information to the Happier Cube: It clearly does not use any
telescopic design, but it uses a collection of two engineering and two mathematical concepts
to make it work without glitches. Anyone can build it, but then, they may hit some wall when
they realise it is not stable! There is always much more behind those puzzles than meets the eye...

:)


Pantazis

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sat Aug 14, 2010 9:19 pm 
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Couldn't you solve it like this?

Image

Unless there's some bandaging or blocked moves going on that I can't see in the video.

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sat Aug 14, 2010 11:50 pm 
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I really like this version compared to the prototype. It makes the solution much clearer (at least to me!).

It makes a lot more sense to me to use this stretchable mesh instead of telescoping rods. Very creative and, most importantly, BRIGHT! :lol:

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sun Aug 15, 2010 2:34 am 
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SaiyanKirby wrote:
Couldn't you solve it like this?
Image
Unless there's some bandaging or blocked moves going on that I can't see in the video.



Yes, this is how it is solved (there is no bandaging for this version). There is a small danger
of going the wrong way, but then, someone may want to make other (symmetric) patterns!

In fact, this is more clear when solving the Hyperion. In the case of the Happier Cube,
(and as seen in the video) I did two of those moves simultaneously! But maybe people
can understand this better when doing those moves at the same time (like Garrett stated).

The engineering I mentioned is related to the stability of the shape. If some factors are not taken
into account, it will look more like a mess up collection of tubes than a predetermined 4D projection. :)


Garrett wrote:
I really like this version compared to the prototype. It makes the solution much clearer (at least to me!).
It makes a lot more sense to me to use this stretchable mesh instead of telescoping rods. Very creative and, most importantly, BRIGHT! :lol:


The plastic one is more colorful, stronger (for frustrated solvers and kids), and easier to mass produce.
But the telescopic one are more classy and elegant, something like a more "academic" version.

Hmmm... I could spray some telescopic rods and Hyperion will look quite nice too. But I understand that
this one is very likable... it is sooooo cute and no one is scared to touch it!

:)


Pantazis

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sun Aug 15, 2010 2:35 am 
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I really like this puzzle, actually. It looks great!

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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sun Aug 15, 2010 2:47 am 
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kastellorizo wrote:
Hmmm... I could spray some telescopic rods and Hyperion will look quite nice too. But I understand that this one is very likable... it is sooooo cute and no one is scared to touch it!

Couldn't you could wrap these colorful tubes around the telescopic rods?

That's exactly what I thought you'd done in the first picture. It's an elegant way to make the Hyperion more approachable by the average user, while still retaining its academically hypercube traits.


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 Post subject: Re: The... Happier Cube! :-)
PostPosted: Sun Aug 15, 2010 3:00 am 
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VeryWetPaint wrote:
kastellorizo wrote:
Hmmm... I could spray some telescopic rods and Hyperion will look quite nice too. But I understand that this one is very likable... it is sooooo cute and no one is scared to touch it!

Couldn't you could wrap these colorful tubes around the telescopic rods?

That's exactly what I thought you'd done in the first picture. It's an elegant way to make the Hyperion more approachable by the average user, while still retaining its academically hypercube traits.


Yes, I thought of that, and it is also a possibility. But I have already experienced so many breakages
of the telescopic rods at the hands of frustrated people, that it was heartbreaking! Yes, even at the
design competition, I sometimes had to spent time to fix Chronos during its presentation, while there
had been cases where it broke by accident. Or even my very first prototype was broken in the hands of
a clumsy friend (and before I had been playing with it for months without breaking it!).

That was a bad and a good thing, as it forced me to search for more ways to make it strong enough,
most of them I had already anticipated before, but did not have the chance to apply their theory.

So this time, I used another approach, where breakage can only occur when someone extremely violent
handles it. And despite made of plastic, this version is pretty strong, and violent puzzlers could even hurt
themselves if they dare to lash out to this cutie! (aaaaah... payback time!!! LOL)

An ideal version will include any combination of what has been done so far. Weight, length, and all other
properties (telescopic/stretching, shape, etc) matter significantly when putting together such a structure.
And I agree that the appearance also matters a lot too!

:)


Pantazis

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