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1. Symmetry is of shape

2. Physics is symmetry?

3. Shape vs physics

4. Link by verbal image

5. Altered scrutiny

6. Sameness under altered scrutiny

7. Cayley = all sequential actions

8. C4v

9. What makes a group.

10. C4v subgroup = C2v

11. Broader scrutiny dissolves sameness

12. Arithmetic germinates sameness

13. Irreducible representation

14. What is the same is what is namable.

15. Observer, system, rule.

16. Coupled oscillators

17. Rule has mirror symmetry

18. A system symmetry

19. Altered scrutiny of displacement

20. Wavelength is an irrep label

21. Momentum is an irrep label

22. Time translation

23. Frequency is an irrep label

24. Energy is an irrep label

25. Indistinguishable particles are irrep labeled

26. An irrep label list
Shown as image in Exhibit 26

27. SUMMARY

28. Bibliography
Shown in the two images of Exhibit 28