The key to these figures is unity. That is, 19*19=361, and 361 is equivalent to 1 mod 360. And 1 has always been unity.
| r = sin(19t) d=19 | r = sin(38t) d=19 | r = sin(103t) d=7 |
| r = sin(103t) d=280 | r = sin(47t) d=23 | r = sin(206t) d=49 |
If I were to tell you that the figure drawn for n=103, d=7 is actually the curve for r = sin(t/7) would that make it clearer? Probably not. See "The Nyquist Effect."
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