Unit 3.1 - Identity and Mirror Symmetry

Unit 3.1 of our course The Fascination of Crystals and Symmetry

In this chapter we will enter the beautiful world of symmetry more deeply and will discuss symmetry aspects of various kinds of macroscopic objects - this means we will look at the objects from the outside and do not consider their inner structure, which might have translational symmetry too, as is the case for instance for crystalline objects.

There are only 5 different symmetry elements, if we consider only external symmetry of macroscopic objects:
- Identity
- Mirror plane
- Axis of rotation
- Center of inversion, and the
- Rotoinversion axis.

In this first unit of this chapter we explain identity and various aspects of mirror symmetry, including the question what is meant by a 'unique' mirror plane.

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If you prefer books instead of videos, have a look at:

[km-sckz]

So the difference between translational and non-translational symmetry is that the two symmetries are considered in different circumstances.
Translational symmetry is defined for an (infinite) arrangement of objects. While non-translational symmetry is considered for a finite arrangement of objects (with borders), seen at a macroscopic level. Is that right?

[bina]

Fun ! I am becoming a bigger fan of yours after every video !

[quratulain]

Can you plz tell me the title of the book?