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Tetrahedron [111] penetration twin
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Rodney B Jackson




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PostPosted: Dec 31, 2013 11:03    Post subject: Re: Tetrahedron [111] penetration twin  

Fantastic symmetry. The math is a bit deep for me though.
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chrisjacob




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PostPosted: Jan 08, 2014 05:18    Post subject: Re: Re: Tetrahedron [111] penetration twin  

Your discussion about the Tetrahedron penetration twin was very helpful for a newbie like me. I felt some parts very difficult to understand still the graph you shared help me in a better way to understand what you meant.






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Pete Richards
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PostPosted: Jan 13, 2018 20:26    Post subject: Re: Tetrahedron [111] penetration twin  

The symmetry of tetrahedrite is a reduced isometric symmetry. The form {111}, for example, is a tetrahedron, not an octahedron. Thus a rotation of 90° about one of the axes introduces new symmetry elements and does not simply replicate the structure. I believe this is called twinning by merohedry.

Sorry, I now realize that I have missed a long and complex discussion....

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