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Mathematics Dictionary
Dr. K. G. Shih
11 Lantana Terrace, Dartmouth, NS, Canada. B2X 3L3
Figure 415

Question
  • Find patterns of R = 1 + 4*sin(p*A/q)^M for q = 3
  • In diagram : p = 1,3,5,7,9,11 and M = 1,2,3
Reference : Get more patterns for various q values
  • For q = 1 in F413
  • For q = 2 in F414
  • For q = 4 in F416
Properties of the diagrams
  • Domain of angle A : 0 to 6*pi
  • Size of petal is 5
  • Number of petals is p or 2*p based on M
Exercise
  • Find number of petals of of R = 1 + 4*sin(5*A/3) if A = 0 to 6*pi
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