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 Post subject: Expanding the Mixup KitesPosted: Mon Nov 25, 2013 9:59 am

Joined: Mon Aug 18, 2008 10:16 pm
Location: Somewhere Else
If we have 1 four-sided piece between intersections we get a deltoidal icositetrahedron.

What shape do we get if we put 2 pieces between intersections, like the Mozaika? Or 3, or more?

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 Post subject: Re: Expanding the Mixup KitesPosted: Mon Nov 25, 2013 10:31 am

Joined: Fri Nov 05, 2010 2:20 am
Location: Wherever
You mean a puzzle like this: http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=563 ?

Oskar should make a cubic version where it is not only restricted to slice moves.

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 Post subject: Re: Expanding the Mixup KitesPosted: Mon Nov 25, 2013 11:18 am

Joined: Wed Dec 14, 2011 12:25 pm
Location: Finland
A quick sketch in Google Sketchup gives me this:

The central slice would turn in 30 degree increments. All the equatorial vertices have equal angles. It really looks like an expanded version of the Mixup Kites.

Aren't Witeden working on a couple of Mixups where the central slice is 12-fold (turns in 30 degree increments?) I remember making mockups of 30-degree mixups with various cut depths, trying to make a mechanism of sorts in SketchUp and seeing Witeden's working on the exact same puzzle the day after. If I remember correctly this was one of the cut depths they had.

I'm not really sure if the polyhedron I made would retain its shape with those cuts, though.

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