Mathematics Dictionary
Dr. K. G. Shih
Figure 326 : R = sin(3*A/2) and R = cos(3*A/2)
Q01 |
- Diagram : R = sin(3*A/2) and R = cos(3*A/2)
Q02 |
- Compare : R = sin(3*A/2) and R = cos(3*A/2)
Q03 |
- Reference
Q01. Diagram : R = sin(3*A/2) and R = cos(3*A/2)
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Q02. Compare R = sin(2*A) and R = cos(2*A)
Conclusion
The cyclic domain : A = 0 to 720 degrees
The petal axis directions are same
This patterns are defined as twins in Pattern Mathematics by Dr. Shih
The conditions for twins of R = sin(p*A/q) and R = cos(p*A/q) are
The value of p is odd
The value of q is even
The cyclic domain A = 0 to 2*q*pi
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Q03. Reference
Book
Pattern mathematics by Dr. Shih
Computer program
Pattern Mathematics
Section 16
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