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 Post subject: Kaleidocode, the very first complete triaflip puzzle!Posted: Fri Feb 01, 2008 2:00 pm

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Well, I said I would do some theme with a line and use transparent tiles.
Then I thought, this is the very *first* triaflip, and I must do it PERFECT!!!

So I put all my maths stuff down and even used graph theory to make sure
all combinations work perfectly. Using five colors on some 3d shapes
(for the rules below) is like testing the limits of graph theory!

The strings were also made using my fishing nots, so some are very loose.
But as stated, the puzzle is extremely stable, even using loose strings!

I proudly present to you the *drums rolling*... Kaleidocode!!!

It is as colorful as it gets, and the help of tiles makes it look even more spectacular.
It is made of two open-loop 3-triangle-tile pieces, which must be combined.
Each tile is made of 9 small colorful triangles which I will call kaleidocolors.
After making the calculations, I gave to this puzzle three challenges:

**********************************************

First Challenge: Easy Kaleidocode
(only 9 two dimensional combinations).

In this challenge, you must bring the puzzle into its kaleidoflat form
(i.e. two flat pieces, each made by three triangles) and put them beside
each other to form a hexagon.

The rules are:
1. You cannot have kaleidocolors of the same color adjacent to each other.
2. No kaleidocolor should be adjacent to two (or more) other kaleidocolors
of the same color.

Photo below:

Kaleidoflat form.
It is not a solved position, e.g. there are a couple of green kaleidocolors
which have the same cyan neighbour!

**********************************************

Second Challenge: Medium Kaleidocode
(162 three dimensional combinations, but easy to form).

In this challenge, you must bring the puzzle into kaleidostar form (i.e. each
piece must have all tiles meeting at the same edge; see first photo below).
Then, they must be connected to form a tetrahedron, while the other two
tiles will hang outside.

There is only one rule:
1. You cannot have kaleidocolors of the same color adjacent to each other.

Photos below:

Kaleidostar form.

By joining the kaleidostars, a tetrahedron with wings is made!

**********************************************

Third Challenge: Die Die Kaleidocode
(144 three dimensional combinations, but very hard to form! Die Die!!! )

In this challenge, you must bring the two pieces into their kaleidoflat form,
but this time, they must be placed in a 3d way to form a triangular dipyramid
which can fit nicely on a stand.

The rules are the same with the Easy Kaleidocode, plus an extra one for the corners:
1. You cannot have kaleidocolors of the same color adjacent to each other.
2. No kaleidocolor should be adjacent to two (or more) other kaleidocolors
of the same color.
3. All the kaleidocolors at each corner (with three or four kaleidocolors) should be
DIFFERENT.

The rules above apply even for the corners which have four kaleidocolors!!!
(I *told* you I did my maths homework LOL)

Photos below:

The triangular dipyramid form fits nicely on the stand!

Even the corners with four kaleidocolors have different colors!

Proudly displayed...

*************************

I don't care if you call me vain, but I feel really proud of myself right now LOL
Both the kaleidocode theme design theme and the mechanical design are unique
and it took many months of frustrating work till I managed to make it reality.
Even when I made puzzles like the Secret of Atlantis, the odd number tile concept
was also unique, but it was based on the Rubik's Magic mechanism.
This time though, the puzzle is based on my very own new type of movement
plus the hidden maths for 3 different challenges.

Time to sleep now, it's already 4am, and tomorrow (I mean today!!!) is my dad's birthday!

Pantazis

PS For a video of how each of the two parts of the kaleidocode works, please visit
my previous post with my test tiles demonstrating the movement.
PS2 Yes, this puzzle is destined to be present at this year's puzzle competition.
PS3 The corners of the edges are too sharp, but those are the only tiles I have right now.

Last edited by kastellorizo on Tue Apr 01, 2008 9:24 am, edited 2 times in total.

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 Post subject: Posted: Fri Feb 01, 2008 2:15 pm

Joined: Sun Jun 04, 2006 10:05 am
Location: Eastern Michigan University (Minnesota at heart)
Congratulations! Impressive!

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3x3 PB 22.63
3x3 Av 30.57

20, Male
Started cubing Oct 15 '05

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 Post subject: Posted: Fri Feb 01, 2008 2:26 pm

Joined: Sat Apr 01, 2006 8:55 pm
Location: Dallas, TX
could you post the photos in another format. I cannot view them. Maybe downloadable?? Thanks.

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Torturing the puzzling community for 2 years [and finally terminated by the same - moderator].~ Happy 2 year anniversary!

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 Post subject: Posted: Fri Feb 01, 2008 2:34 pm

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Here are the photos as attachments (just in case you cannot view them above)

 Attachments: kaleidocode_06.jpg [ 17.8 KiB | Viewed 2194 times ] kaleidocode_05.jpg [ 23.77 KiB | Viewed 2159 times ] kaleidocode_04.jpg [ 14.58 KiB | Viewed 2149 times ] kaleidocode_03.jpg [ 15.17 KiB | Viewed 2153 times ] kaleidocode_02.jpg [ 18.57 KiB | Viewed 2151 times ] kaleidocode_01.jpg [ 16.67 KiB | Viewed 2167 times ]
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 Post subject: Posted: Fri Feb 01, 2008 3:18 pm

Joined: Thu Mar 09, 2006 12:19 pm
Superb! Congrats on getting this done Pantazis!

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 Post subject: Posted: Fri Feb 01, 2008 3:30 pm

Joined: Tue Oct 09, 2001 6:14 am
Location: Orange County, CA, USA
Sweet. I love seeing the magic concept being applied to other regular polygons like this. Very nice, Pantazis.

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 Post subject: Posted: Fri Feb 01, 2008 5:15 pm

Joined: Sat Apr 21, 2007 11:21 pm
Location: Marin, CA
This is beautiful! I love the look of it. Congratulations on this Pantazis!

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 Post subject: Posted: Fri Feb 01, 2008 6:02 pm

Joined: Sun Sep 02, 2007 10:24 pm
Location: Carnegie Mellon
congratulations on developing your own mechanism

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 Post subject: Posted: Fri Feb 01, 2008 6:08 pm

Joined: Sun Oct 28, 2007 5:23 pm
I do not have much knowledge in magics, so that makes it all the more mystifying how it works. Good Job!
On a more specific note, i am particularly fond of how the pattern deals with the unsightly lines so common on magic. They are almost unnoticeable.

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 Post subject: Posted: Fri Feb 01, 2008 6:43 pm

Joined: Sat Aug 12, 2006 6:40 pm
Location: California
That' is so great, we need a new word for it:

Kaleidocool!

Are you going to string them in larger chains sometime? Is that possible/simple?

_________________
www.garron.us
Nothing takes time from expanding your knowledge like doing your homework and applying to college...

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 Post subject: Posted: Fri Feb 01, 2008 7:01 pm

Joined: Mon Aug 27, 2007 3:50 pm
Location: Copenhagen, Denmark
we wanna see a star shape and prism shape magic theme..

but for now I am all satisfied with the first puzzle!! good job!

would magics with pentagonal tiles be possible?

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 Post subject: Posted: Sat Feb 02, 2008 1:03 am

Joined: Mon Nov 19, 2007 9:44 pm
Location: St. Louis, MO
im confused, how to you solve this

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 Post subject: Posted: Sat Feb 02, 2008 1:55 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Thank you all for the comments!
*vanity level increased* LOL

contrabass wrote:
i am particularly fond of how the pattern deals with the unsightly lines so common on magic. They are almost unnoticeable.

You have mentioned a good point there!

Lucas Garron wrote:
That' is so great, we need a new word for it:
Kaleidocool!?

LOL don't give me ideas!

Lucas Garron wrote:
Are you going to string them in larger chains sometime? Is that possible/simple?

It is possible indeed, but the configuration I am currently using, makes it
more simple rather than complex.
Unless... something I am planning to do works well...

Doubleyou wrote:
would magics with pentagonal tiles be possible?

Yes. My technique is applicable to triangles, pentagon, heptagons etc.
It can even work with even numbered sides too (like square), but it will be
less complex and more stable.

TheCube wrote:
im confused, how to you solve this

The rules are explained, if you can tell me which part you don't understand
I could help you with it. I could also make a another small video clip, but
regarding the movement, wasn't good enough the one I have already made?

Pantazis

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 Post subject: Posted: Sat Feb 02, 2008 2:36 am

Joined: Mon Nov 19, 2007 9:44 pm
Location: St. Louis, MO
wut you made is awesome, far beyond wut i could ever do, but im just confused about the colors

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 Post subject: Posted: Sat Feb 02, 2008 2:46 am

Joined: Sun Mar 11, 2007 3:11 am
Location: Oregon, USA
TheCube wrote:
wut you made is awesome, far beyond wut i could ever do, but im just confused about the colors

The rules are easy to understand, but evidently hard to explain without pictures.

As I understand Pantazis's rules: each colored triangle touches three other triangles. The goal is arrange it so that none of the triangles it touches are the same color as the center triangle or each other.

 Attachments: File comment: This is how i interpreted the puzzle rules. Triaflip sample.JPG [ 45.81 KiB | Viewed 3279 times ]

Last edited by VeryWetPaint on Sat Feb 02, 2008 2:38 pm, edited 1 time in total.
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 Post subject: Posted: Sat Feb 02, 2008 6:28 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
VeryWetPaint wrote:
As I understand Pantazis's rules: each colored triangle touches three other triangles. The goal is arrange it so that none of the triangles it touches are the same color as the center triangle or each other.

Very precise explanation VeryWetPaint! Thanks for helping me out with the rules.
And it is indeed true that a picture is like a thousand words.

Pantazis

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 Post subject: Posted: Sat Feb 02, 2008 12:36 pm

Joined: Sat Dec 15, 2007 3:40 pm
TheCube wrote:
wut you made is awesome, far beyond wut i could ever do, but im just confused about the colors

The instructions are rather simple to understand...

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 Post subject: Posted: Sat Feb 02, 2008 4:09 pm

Joined: Mon Nov 19, 2007 9:44 pm
Location: St. Louis, MO
VeryWetPaint wrote:
TheCube wrote:
wut you made is awesome, far beyond wut i could ever do, but im just confused about the colors

The rules are easy to understand, but evidently hard to explain without pictures.

As I understand Pantazis's rules: each colored triangle touches three other triangles. The goal is arrange it so that none of the triangles it touches are the same color as the center triangle or each other.

oh thanks verywetpaint, the pictures helped

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 Post subject: Posted: Wed Feb 06, 2008 8:38 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
UPDATE:

After giving the puzzle to three different people, none of them could solve it. It is not
because of the combinations (which are very limited), but it is because of using two
types of combinations (folding + geometric shape). I will not post the solution for
the kaleidocode and I decided to use it as a future design that might be for sale.

For the moment, I am focusing on the tetrahedron which is of medium difficulty
(i.e. two 2-tile triaflips).
I also plan to connect the two 2-tile triaflips in a non-restrictive way which will allow
free movement, and make it look like a one piece twisty puzzle.
The coloring will be the similar to the Kaleidocode, and I must think of a name too.
Will be finalising its theme and will build it in the next days, so keep tuned!

Pantazis

PS Regarding some huge change of plans, I have decided to go to the IPP this year,
even if that means that my credit card will explode! LOL (I hope to see you there,
and will be going to my island in Greece too, so expect me to be tanned!)
The idea of participating at the exchange is simply too tempting to control!

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