Question
- Find patterns of R = 1 + 1*sin(p*A/q)^M for q = 4
- 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 F405
- For q = 2 in F406
- For q = 3 in F407
- For q GT 4, use following program
-
Pattern Mathematics
Section 5 with q GT 4
Reference : Published book by Dr. Shih
- It has 348 pages with 10500 diagrams
- It is free but 3.00 canadian dollars required for postage
Properties of the diagrams
- Domain of angle A : 0 to 2*pi if p is even
- Size of petal is 2
- Number of petals is p or 2*p based on M
Exercise
- Find number of petals of of R = 1 + 1*sin(3*A/4) if A = 0 to 8*pi
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