Each bead on a bracelet with three beads is either red,
Chapter 13, Problem 58E(choose chapter or problem)
Each bead on a bracelet with three beads is either red, white, or blue, as illustrated in the figure shown.
Define the relation \(R\) between bracelets as: \(\left(B_1,\ B_2\right)\), where \(B_{1}\) and \(B_{2}\) are bracelets, belongs to \(R\) if and only if \(B_{2}\) can be obtained from \(B_{1}\) by rotating it or rotating it and then reflecting it.
a) Show that \(R\) is an equivalence relation.
b) What are the equivalence classes of \(R\)?
Equation Transcription:
Text Transcription:
R
(B_1, B_2)
B_1
B_2
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