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 Post subject: a very special shape - Brueckner 23,7
PostPosted: Mon Aug 06, 2012 6:18 am 
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The shape I presented today has a very rare property. It is self dual.

The known self-dual polyhedra are the tertrahedron and compounds of several tetrahedra. Br├╝ckner is a German mathematics who spent a lot of time for searching other self dual solids. He found 4 or 5 more. I don't know if there exist much more.

The unstickered picture shows the shape in the orange color. The complete solid has 24 equal shapes, every is called 6/2-gon.

I built it as a 3x3x3 twisty. Every face has the same splits. It doesn't shapeshift.
Attachment:
cw_Brueckner 23,7 shape 24 x 6-2 gon (1).JPG
cw_Brueckner 23,7 shape 24 x 6-2 gon (1).JPG [ 1.76 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 (2).JPG
cw_Brueckner 23,7 (2).JPG [ 1.38 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 (3).JPG
cw_Brueckner 23,7 (3).JPG [ 1.47 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 (4).JPG
cw_Brueckner 23,7 (4).JPG [ 1.66 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 (5).JPG
cw_Brueckner 23,7 (5).JPG [ 1.87 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 (6).JPG
cw_Brueckner 23,7 (6).JPG [ 1.97 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 (7).JPG
cw_Brueckner 23,7 (7).JPG [ 1.82 MiB | Viewed 1290 times ]

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cw_Brueckner 23,7 midturn (12).JPG
cw_Brueckner 23,7 midturn (12).JPG [ 2.03 MiB | Viewed 1290 times ]

Attachment:
cw_Brueckner 23,7 midturn (13).JPG
cw_Brueckner 23,7 midturn (13).JPG [ 1.57 MiB | Viewed 1290 times ]


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 Post subject: Re: a very special shape - Brueckner 23,7
PostPosted: Thu Aug 09, 2012 11:29 am 
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Joined: Sun Mar 27, 2005 7:37 pm
Beautiful.

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 Post subject: Re: a very special shape - Brueckner 23,7
PostPosted: Thu Aug 09, 2012 11:43 am 
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Location: Bay Area, California
How interesting. It sure looks irregular but if it doesn't shapeshift it must be pretty symmetrical. This is one of those puzzles where just pictures isn't going to do the puzzle justice.

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 Post subject: Re: a very special shape - Brueckner 23,7
PostPosted: Sat Aug 11, 2012 10:22 pm 
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Joined: Sun Mar 02, 2008 11:33 am
Location: Hiram, Ohio
Oh Claus, I love your puzzles :)


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