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 Post subject: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 7:43 am 
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Hi Twisty Puzzles fans,

Icosaix is a face-turning icosahedron twisty puzzle. Some faces go over other faces while turning. The puzzle jumbles, resulting in some unexpected shape-shifting.

Many people have contributed to this puzzle, intellectually or otherwise.
    Jason Smith and Bob Hearn independently designed and prototyped a face-turning icosahedron early 2010.
    Matt Galla discovered that the face-turning icosahedron geometry jumbles.
    Bob Hearn stimulated me to keep pursuing this design.
    Jason Smith introduced the mushroomed core for stability.
    Eric Vergo shared his Pentagram design for inspiration.
    Sky Zangas introduced me in silicone lubricating twisty puzzles.

My main contribution to this design are the "steps" in the defining curve of the puzzle, which result in consistent hidden "filler" pieces that keep the corner pieces stably in place. The close-up photo below shows a filler piece, which becomes visible only midway turns. Of course, I did also all 3D designing and prototyping. Another innovation is the split core. One of the 20 screws is very long and holds the two hemispherical core pieces together. For the final assembly, I just have to release that screw a bit to have the final pieces fit and, and then tighten it again. . Finally, after two failed prototypes, I managed to build an Icosaix prototype that works.

Watch the YouTube video.
Buy the puzzle at my Shapeways Shop.
Read more at the Shapeways Forum.
Check out the photos below.

Enjoy!

Oskar
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Last edited by Oskar on Sat Mar 05, 2011 12:11 pm, edited 1 time in total.

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 8:01 am 
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Great puzzle Oskar! Hopefully this will be the next mass produced puzzle from Meffert's (along with the Gear Shift). I've been wanting to see a version like this ever since the first Face Turning Icosahedron. Absolutely beautiful.

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 8:09 am 
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Wow, that look's cool :shock: .

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 8:43 am 
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SUPER!

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 8:46 am 
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Wow! I didn't even expect the shape-shifting part. How many degrees do you turn the face to shape-shift?


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 8:56 am 
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Wow, this looks great!

The world really does need a mass-produced face-turning icosahedron. I really hope that this is progress in that direction!


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 10:01 am 
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:shock:


Nice! But don't you dare make me solve that... monster

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 10:39 am 
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This is a fantastic puzzle! I also think that it would be great if this were mass produced.


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 11:33 am 
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This is one absolutely amazing puzzle! I hope I have a chance to own it one day!

Chris


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 12:17 pm 
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Superbud9123 wrote:
How many degrees do you turn the face to shape-shift?
Answer from Matt Galla: "... about 44.5 degrees". Read Matt's full analysis here.

Oskar

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 2:16 pm 
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Beautiful puzzle! I'd been wondering where this went, as it disappeared from your Shapeways shop a while ago. I absolutely love it's geometry. Too bad it has so many tiny pieces, otherwise it would be a good candidate for Mass-production.

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 2:41 pm 
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It's superb. This puzzle should be THE face-turning icosahedron, because of its neat appearance and the similarity to the face-turning octahedron. If it's mass-produced, I would like to buy one.


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 2:52 pm 
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Yes finally! An face turning icosahedron that does not have those annoyingly small "corners"! Too bad the turning is not great. :(

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 3:08 pm 
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MonkeyZ wrote:
Too bad the turning is not great. :(
You think this is bad turning? You should have seen the first two prototypes ... :-)

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 3:12 pm 
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Nice! It sounds like A LOT of work went into getting this one perfect.

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 3:48 pm 
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This is one of my favorites from you Oskar, keep it up.

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sat Mar 05, 2011 6:51 pm 
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I'm sorry, but to be honest, overlapping + hidden pieces showing during turns + jumbling just doesn't appeal me like all your other puzzles, this is definitely not one of my favorites although I like how you made faces like an FTO :)

I hope you can make one without overlapping, I prefer those 8-)

- Greg

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 1:10 am 
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Cool, but it looks like the turning is pretty bad. I HIGHLY recommend that you try some CRC Heavy Duty Silicone lube. I was skeptical at first, but it works so well!

-Eitan

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 4:19 am 
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pirsquared wrote:
I HIGHLY recommend that you try some CRC Heavy Duty Silicone lube.
The puzzle was soaked in silicone-based lube. What more can I do? Oskar

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 4:31 am 
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RubixFreakGreg wrote:
honest, overlapping + hidden pieces showing during turns + jumbling just doesn't appeal ... although I like how you made faces like an FTO
Greg,

Overlapping: This feature is fundamental to make "faces like an FTO".
Hidden pieces: These pieces are fundamental to the stability of the design.
Jumbling: Jumbling is fundamental to the icosahedral geometry.

So essentially you are saying that you fundamentally don't like the fifth twisty platonic solid.

Oskar

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Last edited by Oskar on Sun Mar 06, 2011 5:03 am, edited 1 time in total.

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 5:02 am 
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Oskar wrote:
RubixFreakGreg wrote:
honest, overlapping + hidden pieces showing during turns + jumbling just doesn't appeal ... although I like how you made faces like an FTO
Greg,

Overlapping: This feature is fundamental to make "faces like an FTO". I know, but I'd prefer abandonigng the FTO looks for this. It's just a matter of taste.
Hidden pieces: These pieces are fundamental to the stability of the design. I know, but I'd rather see them on the outside :)
Jumbling: Jumbling is fundamental to the icosahedral geometry. I like jumbling, but not when it's combined with pieces showing or overleapping. Hense why I prefered the other FTI's :)

Oskar


Once again, it's just a matter of taste, but this is the only puzzle in your shop I don't like particularly more than a regular twisty puzzle.

- Greg

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 9:35 am 
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pirsquared wrote:
I HIGHLY recommend that you try some CRC Heavy Duty Silicone lube. -Eitan
I know this is getting a bit off topic but I tried this stuff on some pieces from a colored plastic C4U DIY 3x3x3 and it discolored the pieces! It was eating at the surface where it was sprayed. I recommend using Cyclo Heavy Duty Silicon instead as I've never had any problems with it, even with colored plastic pieces.


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 12:07 pm 
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Remember that this material is nylon, which is different from ABS plastic. CRC Silicone works wonders on nylon.

-Eitan

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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 4:19 pm 
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Oskar wrote:
Matt Galla discovered that the face-turning icosahedron geometry jumbles

While I appreciate everyone praising me for this, I can't accept this statement with a clear conscious. I'd like to direct everyone who is interested to this thread: http://twistypuzzles.com/forum/viewtopic.php?f=9&t=13071. As is clear from there, Tyler Foxx (username TBTTyler) actually told ME face-turning icosahedra jumble and at the time I didn't believe him (though I did specify I wasn't sure when I said I don't think they jumble :wink:). Perhaps I gave/discovered the best explanation of why this happens, but I certainly didn't discover it :)
Oskar wrote:
Superbud9123 wrote:
How many degrees do you turn the face to shape-shift?
Answer from Matt Galla: "... about 44.5 degrees". Read Matt's full analysis here.

It is possible to give an exact answer here but it does take some time with pencil and paper and a fairly good understanding of 3D geometry (and a large amount of work with the golden ratio) Or maybe a computer algebra system
The exact angle is arccos((-1+3*sqrt(5))/8)
(This applies either clockwise or counterclockwise from any of the 3 non-jumbling positions, giving each face a total of 9 positions from which an additional interactive move can be made)
Sorry I gave an approximate answer before, but at the time I didn't feel like working it all out. Does this make up for it? :)

Great puzzle Oskar! :mrgreen:

Peace,
Matt Galla

PS Tyler, if you happen to read this, sorry if I spelled your last name wrong (I think I remember hearing it's Foxx somewhere, but I couldn't actually find it again)


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 Post subject: Re: Icosaix by OSKAR
PostPosted: Sun Mar 06, 2011 7:15 pm 
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The face-turning-icosahedron is one of my favorite puzzles on Gelatinbrain's site (2.1.1). Great job Oskar!

Allagem wrote:
The exact angle is arccos((-1+3*sqrt(5))/8)
Thanks for the exact solution. I popped this into GP/PARI and computed the first million decimal digits of the angle (in degrees). You can get them here.

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