MAT 101 Lecture 11: MAT 101 Lecture 11

• School: University of Maine
• Department: Mathematics and Statistics
• Course: MAT 101
• Professor: Kevin Roberge

Document Summary

Location notation: corners: corner locations (locations determined by three colors) are labeled with three lower case letters, order of letters does not matter (to us) e. g. ufr = urf = rfu. = ruf = fur = fru these all mean: up front right location: this notation of location will allow us to talk about any location on the cube. Also to describe what happens during a permutation: a permutation may, for example, move the piece in ufr to dfr. A more compact notation is (uf, df) and (ur, dr) but you can use the arrows. Each of these is a 2-cycle because it involves two pieces cycling in (and out) of 2 locations. You can tell from this cycle structure that performing (f s(cid:449)ap t(cid:449)o thi(cid:374)gs t(cid:449)i(cid:272)e (cid:455)ou"(cid:448)e do(cid:374)e (cid:374)othi(cid:374)g. usi(cid:374)g so(cid:373)e of our (cid:374)e(cid:449) (cid:448)o(cid:272)a(cid:271) a(cid:374)d (cid:374)otatio(cid:374) probably does nothing (if. 3 is its own inverse and that (f.