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 Post subject: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sat Apr 23, 2011 9:57 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
It is quite funny how often you come to the same shape not matter which truncation technique you use.
The signature is: 54000A8000
It is the 9th transformation in this shape.


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SharpEdges 54000A8000 TrigonalTrapezohedron (1).JPG
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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sat Apr 23, 2011 10:05 am 
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Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
Very nice! I like it a lot. :)

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3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!


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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sun Apr 24, 2011 1:04 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Seems like you are the only one.
Sad but true.


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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sun Apr 24, 2011 1:53 am 
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Andreas, I love your works, too.

I am a great fan of your mods. I got a lot of ideas!!!

But in the last weeks there are only small response to new puzzles.


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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sun Apr 24, 2011 3:53 pm 
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Joined: Sun Feb 13, 2011 9:16 am
Location: Indiana
I may sound dumb here, but what exactly does SharpEdges refer to and what do the signatures mean that I see on most of your mods?

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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sun Apr 24, 2011 3:56 pm 
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Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
The signatures are where the cuts are made and parts are extended (I believe anyway). Only Andreas can understand them. :lol:

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3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!


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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Sun Apr 24, 2011 6:45 pm 
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Joined: Wed Jan 28, 2009 7:55 pm
Location: Montana
Luke wrote:
Only Andreas can understand them. :lol:

So true.

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Andreas Nortmann wrote:
Things like this are illegal.
If not I will pass an appropriate law.


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 Post subject: Re: Trigonal Trapezohedron - This time with SharpEdges
PostPosted: Mon Apr 25, 2011 2:24 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Thank you Claus for being my inspiration receiver (does such a term exist?)

@Luke Harry, Rentlix, everybody else interested:
Regarding the signatures:

First you have to understand that there is a difference between OctagonalEdges, SharpEdges, SharpCorners (only few examples) and even DodecahedralFaceDeletions (no signatures made public).
The signatures are bandaging signatures in first place. If interpreted correctly they are equivalent to truncating schemes. Apply these truncations to a 3x3x3 (or UltimateSkewb if appropriate) and afterwards place extensions on all faces left over from the original puzzle.

I see I have to write an article sometime in the future ... when I have filled up the museum. :(

Andreas


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 Post subject: Re: Trigonal Trapezohedron - THis time with SharpEdges
PostPosted: Mon Apr 25, 2011 8:50 pm 
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Joined: Tue Jan 01, 2008 7:30 pm
Location: Texas, USA
I too like your puzzles. You sure do churn out a quantity of them!
(Insperation reciever would be a Muse)

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"I discovered the triangle one day while shaving. I trimmed my beard like the intersection of three circles and noticed how I could unfog a square in the bathroom mirror by rubbing my beard circularly against the glass."-Franz Reuleaux


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 Post subject: Re: Trigonal Trapezohedron - This time with SharpEdges
PostPosted: Tue Apr 26, 2011 10:03 am 
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Joined: Thu Dec 02, 2004 12:09 pm
Location: Missouri
Andreas Nortmann wrote:
Seems like you are the only one.
Sad but true.

I like all puzzles... just don't have time to comment in every thread. But my main interest in puzzles may be a bit different then others. As an engineer its the mech which allows the puzzles to fuction that fascinates me the most. To me when the Rubik cube first came out the puzzle wasn't how to solve it... it was what keeps it from falling apart. In that light the shape of the puzzle to me is secondary. They are still interesting in that some shapes allow for "different" solutions. For example the cubic shape of a Rubik's cube hides the face center orientation. The same puzzle in the shape of an octahedron brings out this orientation but then hides the corner orientation. So the shapes that interest me the most are those which give each piece a unique position and orientation in the solved state.
Andreas Nortmann wrote:
I see I have to write an article sometime in the future ...

That I'd love to see. I believe it would be very interesting even just from the geometry stand point alone.

Carl

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