spirograph

A spirograph is a geometric drawing device that makes generative art.

The formula to find how many turns it will take to close a line is R/gcd(r, R), where R is the outer ring, and r the inner gear. The gdc of two numbers is the Greatest Common Divisor.

	96	105
24	4	35
32	3	105
40	12	21
42	16	35
45	32	7
52	24	105
56	6	15
60	8	7
63	32	5
72	4	35
75	32	7
80	6	21
84	8	5

	96	105
24	4	35
32	3	105
40	12	21
42	16	35
45	32	7
52	24	105
56	6	15
60	8	7
63	32	5
72	4	35
75	32	7
80	6	21
84	8	5

	96	105
24	4	35
32	3	105
40	12	21
42	16	35
45	32	7
52	24	105
56	6	15
60	8	7
63	32	5
72	4	35
75	32	7
80	6	21
84	8	5

	96	105
24	4	35
32	3	105
40	12	21
42	16	35
45	32	7
52	24	105
56	6	15
60	8	7
63	32	5
72	4	35
75	32	7
80	6	21
84	8	5