Space Group No. 47

In the following videos all symmetry operations of space group no. 47 are visualized. The first video contains all reflections, the second video contains all rotations and the third video presents all inversions.

One thought on “Space Group No. 47

  1. Dear Mr. Cakir,

    The reflections of the orthorhombic space group No. 47 look very convincing. I suggest that you should also try to experiment with central illumination/ambient lighting and with shrinking the plane size somewhat, which especially at the beginning, when you explain the reflections at the side faces of the cell will permit the viewer to get a better view of what is going on inside.

    Especially when you show the rotation axis going through the cell origin at a vertex, it would be good to explain with vocal comment that the two reflections, e.g., at planes orthogonal to b and c give the rotation by two times 90 degrees = 180 degrees around the line of intersection of the two planes as axis in the direction of a. Etcetera. And perhaps a brief orthographic projection view of the first rotation in the direction of the axis would show the 180 degree angle very clearly.

    Because here all three vectors are orthogonal, it would be the ideal point with vocal comment to point out at the beginning that the reflection at three orthogonal planes (each orthogonal to a, b, c respectively) reverses the orientation of every vector relative to the center of inversion.

    In general it is good to recommend the viewers (perhaps in the blog text on top of the videos) to go into full screen mode, to use High Definition (because it is available and makes it easier to read the geometric algebra symmetry element expressions in the lower right corner).

    On the About/Welcome page it would be good to explain what the view can see in the videos on the top right, i.e. the Space Group Number of the International Tables of Crystallography, the International Hermann Maugin Space Group Symbol, and the Geometric Algebra Space Group Symbol according to Coxeter, Hestenes and Holt. And in brackets the point group symbols in the two notation systems, as well as the name of the crystal class.

    With kind regards, Eckhard Hitzer


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