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Lagrangian approach to origami vertex analysis

Mon, 2024-09-02 20:14 - matthew.grasinger
research
preprint
origami
symmetry

Dear colleagues,

We invite you to see the preprint of our new paper Lagrangian approach to origami vertex analysis: Kinematics that will appear in Philosophical Transactions of the Royal Society A. Here we show how the Lagrangian approach to origami facilitates the exploitation of symmetry, formulate reduced order compatibility conditions for some symmetric foldings, and obtain analytical expressions for the kinematics of some degree 6 and degree 8 origami vertices.

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superlattice brillouin zone and Symmetry points

Mon, 2011-07-11 13:58 - rmbarki
research
brillouin zone
superlattice
symmetry
bandstructure

Hi

I was trying to find the brillouin zone of a GaAs superlattice and their points of symmetry to use it in determing the bandstructure. I am using the [111] as the z direction and the structure is periodic in the x and y direction but none periodic in the z direction. I am still looking for my way in this field and i couldnt find a good textbook that explain this, especially how to find the symmetry points of a crystal whether it is in bulk stucture or superlattice. So i really would appreciate any help or guidance in this problem.

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