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 Post subject: Can you fudge an FTI into a non-jumbling puzzle?
PostPosted: Wed Aug 21, 2013 7:55 pm 
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Just checking. I'm pretty sure this is impossible because of the icosahedron itself, but is it possible to fudge an FTI somehow so that, say, each face has nine or twelve possible rotational states and no moves are blocked?


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 Post subject: Re: Can you fudge an FTI into a non-jumbling puzzle?
PostPosted: Wed Aug 21, 2013 8:26 pm 
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Most likely. If you unbandage it enough and remove the tiny pieces, then it would always turn. Just a guess though.

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 Post subject: Re: Can you fudge an FTI into a non-jumbling puzzle?
PostPosted: Wed Aug 21, 2013 10:26 pm 
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Jared wrote:
Just checking. I'm pretty sure this is impossible because of the icosahedron itself, but is it possible to fudge an FTI somehow so that, say, each face has nine or twelve possible rotational states and no moves are blocked?

Your suggestion would fundamentally change the geometry of the puzzle. It'd look like an Icosahedron and it'd have 20 grips but adding twist states to the faces would make it no longer icosahedral.

That said, the jumbling is a result of the angle that the axes meet each other so I don't think adding additional rotation stops to the faces will affect whether it jumbles or not. I also wouldn't call adding these rotations "fudging".

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 Post subject: Re: Can you fudge an FTI into a non-jumbling puzzle?
PostPosted: Wed Aug 21, 2013 10:55 pm 
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How about regular fudging? Unbandage the FTI without changing fundamental geometries until it has really tiny pieces, then keep the largest ones.

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