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 Post subject: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 3:46 am 
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At long last I have a new transformation – Greenhill’s Icosahedron.
The initial design dates back to November 2002 when I finished Greenhill’s Dodecahedron, as it was intended to follow that puzzle – it didn’t, other puzzle 'committments' took preference. Still, it’s only seven years and a few other transformations late.

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Anthony


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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 4:00 am 
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:shock: :shock:
I love this puzzle. Its just perfect!
Great job Anthony.

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 4:00 am 
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Very nice! What puzzle is this made from?

Alex

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 4:21 am 
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Looks great. How large is this in comparison to the original Square-1?

APJ wrote:
Very nice! What puzzle is this made from?

Alex


Square-1.

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 4:24 am 
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Thanks Cubicle.

I thought that it was a square 1 as the middle layer is bandaged similarly to a square 1.

Alex

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 4:26 am 
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It looks fantastic!

Reading the topic I first thought that someone had bumped an old thread. :-)

Thomas

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 5:42 am 
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Anthony,

It is a great to see a new design from you again.
As usual it looks perfect.

Geert


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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 7:22 am 
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PERFECT BUILD! Must be a great achievement for you :wink:

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 7:28 am 
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:shock: Looks very finished and perfected, awesome build! :D I am in complete awe! :wink:

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 8:52 am 
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That looks incredible, Anthony. Have you now constructed all of the Square 1 platonic solids?

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 11:43 am 
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Anthony,

this is a very attractive transformation and I am sure, it is one of your typically high quality works.

Congrats! Hope to see you with the puzzle at the DCD :)

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 11:46 am 
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Great build Anthony. You certainly have a knack for those tricky Square-1 transformations.

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 12:26 pm 
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I swear I've seen this before. :shock: I really like this, but I imagine it would be rather easy to solve, because t he shape isn't changed that drastically. (In other words, the middle 10 triangles are the middle band on the sq-1, and the 10 'polar' triangles are the faces)

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 12:51 pm 
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Amazing build! Best square 1 mod ever!

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 1:42 pm 
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I love it but I think your definition of "only" is far different from mine. :D

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 3:37 pm 
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Monopoly wrote:
I imagine it would be rather easy to solve, because t he shape isn't changed that drastically.


You might want to take a closer look. This doesn't look like a standard Square-1 mod to me. Instead, it looks like each type of piece is paired up. You can see this pattern on a standard Square-1 puzzle by rotating half the puzzle, turning top and bottom by a quarter turn clockwise, then rotating again. This means that, if true, all patterns to get it into its default shape and most patterns for edge swaps would need to be thrown out the window. The same thing may or may not be true for the corners as well.


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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 4:35 pm 
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Truly amazing, Anthony.
I absolutely adore your puzzles and this one is another prrof that you are puzzle-making genius!
Tony did once say that making a perfect Icosahedron is extremely difficult.
Well, You've done it, nevertheless!
Fantastic job.
Vadim


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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sat Sep 19, 2009 8:02 pm 
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Tim Browne wrote:
Monopoly wrote:
I imagine it would be rather easy to solve, because t he shape isn't changed that drastically.


You might want to take a closer look. This doesn't look like a standard Square-1 mod to me. Instead, it looks like each type of piece is paired up. You can see this pattern on a standard Square-1 puzzle by rotating half the puzzle, turning top and bottom by a quarter turn clockwise, then rotating again. This means that, if true, all patterns to get it into its default shape and most patterns for edge swaps would need to be thrown out the window. The same thing may or may not be true for the corners as well.

Sorry, looking at the pics again, I see that the pieces are positioned differently. I think this is probably much harder, now that I recognive the pattern.

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sun Sep 20, 2009 6:09 am 
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Well done!

Correct me if I am wrong:
You made a tetrahedron, a dodecahedron and now an icosahedron from an square-1. Is the octahedron the only plytonic shape missing or have I missed it?


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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Tue Sep 22, 2009 8:01 am 
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Greenhill transformations are always a critical hit with the puzzle community.




Subtle D&D inside joke there. Damn I AM a geek...

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Tue Sep 22, 2009 2:59 pm 
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Incredible ..... again

congratulations Anthony

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 Post subject: Re: GREENHILL'S ICOSAHEDRON
PostPosted: Sun Oct 04, 2009 8:27 am 
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First of all thanks for all your comments.

Cubicle wrote:
Looks great. How large is this in comparison to the original Square-1?


It is the same size of a Dogic. All my Icosahedron puzzle transformations are this size.

Kapusta wrote:
That looks incredible, Anthony. Have you now constructed all of the Square 1 platonic solids?
Andreas Nortmann wrote:
Well done!

Correct me if I am wrong:
You made a tetrahedron, a dodecahedron and now an icosahedron from an square-1. Is the octahedron the only plytonic shape missing or have I missed it?

I still have to complete the Octahedron (Square 1). Bit of a change happening at the moment. Hopefully this will be complete before seven years.

Frank Tiex wrote:
Anthony,

this is a very attractive transformation and I am sure, it is one of your typically high quality works.

Congrats! Hope to see you with the puzzle at the DCD :)

I will be bringing a sample to the Cube Day.

I did not want to repeat the arrangement that I used on Greenhill's Dodecahedron, where the Dodecahedron shape was simply placed over the standard Square 1, I've done that. Like all my transformations they tend to go through various ideas before they are fixed, some get changed during construction. I first thought of doing the half twist thing so that the middle layer was not continuous, but this was disregarded at the time when I first started this puzzle. That idea was to be used on Greenhill's Tetrahedron later.
I finally decided on using one of the standard Square 1 symmetrical arrangements instead. Then - how to place the Icosahedron form over the Square 1. Again, I did not want to repeat the standard (dare I say expected) arrangement used on Greenhill's Dodecahedron. The Icosahedron form was in all sorts of positions in relation to the Square 1, I still wished to have some symmetry. What was finally decided is what you see. Personally I really like this arrangement.
I didn't go for the normal 20 colour arrangement as this would have resulted in the puzzle being easier to solve, so I went for 10 (duplicated opposite) colours, this adds a little bit more difficluty to it, along with the Square 1 arrangement inside.


Anthony


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