Figure 28 : Patterns example of polar functions
Product no. Mvb2
Q1. What are the functins of the patterns ?
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(1) The function is R=1+1*sin(p*A/q)^M and q=4 M=3
(2) The value p is from 1 to 9
Q2. Find the petals of the patterns relation with p
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(1) For p = 9, we see that there are 9 large and 9 small petals
(2) Total is 2*9 or 2*p petals if p=odd, q=4 and M=3
(3) Total is p petals if p is even, q=even and M=odd
Q3 What is the cycle domain ?
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(1) Use Program
WebABC
(2) Click Form and Click topic 8
(3) Click ZA in file name box and p=1
(4) Click 08 01 in lower box and A=(0,1*pi)
(5) Click 08 02 in lower box and A=(0,2*pi)
(6) Click 08 07 in lower box and A=(0,7*pi)
(8) Click 08 08 in lower box and A=(0,8*pi)
(9) Click 08 09 in lower box and A=(0,9*pi)