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 Post subject: Poseidon's Trident (three difficult solutions)
PostPosted: Tue Apr 29, 2008 1:30 pm 
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Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
This is a magic I wanted to do for a long time, i.e. a ten-tile flat magic which can also
become a 2x1x1 shaped cuboid.

Just like Magic Daze, this magic has not one, not two, but three solutions.
Mathematical equations have also been exhaustively used in this one, to ensure that all tiles
are being used twice with success.

The goal is to have all tridents connected, forming a single continuous loop.

To make things easier (for this horribly difficult magic), I have done two things:
(a) one side is colored with a blue background and the other with a green background,
(b) the blue side uses a dolphin to (partially) help orientation.


As stated, there are three solutions:
(1) The double flat solution goes through all 20 single (not double!) tiles.
(2) A 2x1x1 cuboid with the blue background, the solution goes through 10 single tiles.
(3) A 2x1x1 cuboid with the green background, the solution goes through 10 single tiles.
(for the last solution, you could try to guess if there is one, two, three, or four loops,
which are all continuous. But I will NEVER confess the exact number! LOL)

And trust me, the main difficulty in this magic arises from the fact that there is NO unique
way to create a 2x1x1 cuboid, unlike the magic Daze, where there is only one cubic way.
(and mind you, Magic Daze, is not easy itself, as many of you might have discovered!)

Pictures time! :)


Image
This is not the flat (2x5) solution. It is just another flat shape that can be achieved.



Image
Cuboid 2x1x1 blue background solution.



Image
Cuboid 2x1x1 with green backround. It is not solved, as three tridents converge to the
same corner disturbing the continuity.



Image
The dolphins (as well as the fine quality of the papers tile) can be clearly seen in the blue background.


Enjoy!

:)


Pantazis

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Educational R&D, Gravity, 4D Symmetry, Puzzle Ninja, Matrix Mech, Alien Technology.


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 Post subject: Re: Poseidon's Trident (three difficult solutions)
PostPosted: Tue Apr 29, 2008 1:46 pm 
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Joined: Sun Sep 18, 2005 3:03 pm
Location: Madrid -Spain -Europe
mr magic again

well done PETER :wink:

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 Post subject: Re: Poseidon's Trident (three difficult solutions)
PostPosted: Wed Apr 30, 2008 6:09 am 
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Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
One of the best parts in this magic, is that it can form a 2x1x1 cuboid without stretching any strings.
(for example, the Magic Daze uses the secret cube move, which requires some... tile snapping!)

But I am very proud of the maths behind it. Using a theme in such a way where the diagonal directions
can be used twice in a non-symmetrical fashion, is not an easy task! (you could try that at home LOL)
(doing things with horizontal and vertical directions, has only one - easy enough to find - symmetrical solution)

:)


Pantazis

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Educational R&D, Gravity, 4D Symmetry, Puzzle Ninja, Matrix Mech, Alien Technology.


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