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 Post subject: Helicosahedron
PostPosted: Mon Mar 19, 2012 8:30 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Hi folks,
The last puzzle I presented was a Curvy Copter transformed into a dodecahedron.
This is a Helicopter Cube transformed into the dual solid: an icosahedron.
The earlier one was extensions only. This is truncation only.
It turns ... bad.
Edge length: 37mm
Weight: 123gr


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 Post subject: Re: Helicosahedron
PostPosted: Mon Mar 19, 2012 12:51 pm 
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Joined: Sun Mar 27, 2005 7:37 pm
Nice. I have a soft spot for Icosahedra.

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 Post subject: Re: Helicosahedron
PostPosted: Mon Mar 19, 2012 8:02 pm 
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Looks so nice Andreas! :D I assume more mods from you this week. :D

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 Post subject: Re: Helicosahedron
PostPosted: Mon Mar 19, 2012 11:04 pm 
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That must have been a very difficult build up. Nice choice of cuts.

Dave

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 Post subject: Re: Helicosahedron
PostPosted: Tue Mar 20, 2012 3:58 am 
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Another wonderfull mod. Great job.

Is it also possible to make the Curvy Dodecahedron with truncation only?
You made your 3x3x3 Dodec, I remember me, with truncation only, too.


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 Post subject: Re: Helicosahedron
PostPosted: Tue Mar 20, 2012 1:13 pm 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Thank you guys.

@Claus: I think a Truncation-Only-Curvy-Dodecahedron is not possible. The cuts on the edges are deeper for the Curvy Dodecahedron. There will be nothing left of the Curvy Copters edges.

Anybody wnat to prove me wrong?


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 Post subject: Re: Helicosahedron
PostPosted: Thu Mar 22, 2012 3:25 am 
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Andreas, I don't understand this.

To build a Ico you must cut 12 edges "dual" to the dodec cuts. After this you have to truncate all 8 corners of the cube to get the missing 8 faces.

For the Dodec you don't cut the corners. Therefore I think it must be easier to make a truncated only dodec.


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 Post subject: Re: Helicosahedron
PostPosted: Thu Mar 22, 2012 11:50 am 
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The problem with a truncation-only Curvy Copter are NOT the corners. The edge pieces are the problem.
The first set of twelve cuts you mention are shallow enough for the Helicopter Cube.
The cuts for a dodecahedron would go to deep (as I assume) to create a working puzzle.


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