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Operations of the 1st kind no change in handedness rotation C n translation T

Operations of the 1st kind no change in handedness rotation C n translation T. Operations of the 2nd kind change in handedness - enantiomorphic mirror m inversion i. Operations of the 2nd kind change in handedness - enantiomorphic mirror m.

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Operations of the 1st kind no change in handedness rotation C n translation T

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  1. Operations of the 1st kindno change in handednessrotation Cn translationT

  2. Operations of the 2nd kindchange in handedness - enantiomorphicmirror m inversioni

  3. Operations of the 2nd kindchange in handedness - enantiomorphicmirror m

  4. Operations of the 2nd kindchange in handedness - enantiomorphicmirror m m m = 1 R m L

  5. Operations of the 2nd kindchange in handedness - enantiomorphicmirror m m m = 1 R R m m L L

  6. Operations of the 2nd kindchange in handedness - enantiomorphicmirror m m m = 1 2 successive 2nd kind operations give 1st kind operation - important when translations involved

  7. Operations of the 2nd kindchange in handedness - enantiomorphicmirror m inversioni

  8. Another operation of the 2nd kindhint: combine operations of 1st & 2nd kindsAns:

  9. Another operation of the 2nd kindSome examples of rotoinversions:

  10. More combinationsC2 T (2-D) : Rule:

  11. More combinationsm T (2-D) : Rule:

  12. More combinationsm T (2-D) : Rule:

  13. More combinationsC2 T (2-D) : Rule:

  14. More combinationsC3 T (2-D) : Rule:

  15. More combinationsC3 T (2-D) : Rule:

  16. More combinationsC3 T (2-D) : Rule:

  17. More combinationsC3 T (2-D) : Rule: New symmetry element on bisector of T

  18. More combinationsC4 T (2-D) : Rule:

  19. More combinationsC4 T (2-D) : Rule: New elements on bisectors - include subgroups

  20. More combinationsC6 T (2-D) : Rule: New elements on bisectors - include subgroups

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