(1) Let D be the following string of ellipses (infinite in both directions). Describe all symmetries of D. Is the group of symmetries of D abelian? = x

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(1) Let D be the following string of ellipses (infinite in both directions).
Describe all symmetries of D. Is the group of symmetries of D
abelian?
Transcribed Image Text:(1) Let D be the following string of ellipses (infinite in both directions). Describe all symmetries of D. Is the group of symmetries of D abelian?
(3) Let X € D4 such that X ‡ R270. Find all Y € D4 such that
XY2 R90. Explain your reasoning.
Transcribed Image Text:(3) Let X € D4 such that X ‡ R270. Find all Y € D4 such that XY2 R90. Explain your reasoning.
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