>>16571345

SG = spirograph
SG(w, p) corresponds to a p/q-gon.

If w < 54, then q = w/(105/p).
SG(24, 35) corres. to a 35/8-gon.
SG(30, 7) corres. to a 7/2-gon.
SG(32, 105) corres. to a 105/32-gon.
SG(36, 35) corres. to a 35/12-gon.
SG(40, 21) corres. to a 21/8-gon.
SG(42, 5) corres. to a 5/2-gon.
SG(45, 7) corres. to a 7/3-gon.
SG(48, 35) corres. to a 35/16-gon.
SG(50, 21) corres. to a 21/10-gon.
SG(52, 105) corres. to a 105/52-gon.
These ten SGs are plain.

SG(49, 15) corres. to a 15/7-gon.
SG(56, 15) is undoubtedly plain.

If w > 58, then q = p - w/(105/p).
SG(60, 7) corres. to a 7/3-gon.
SG(63, 5) corres. to a 5/2-gon.
SG(64, 105) corres. to a 105/41-gon.
SG(72, 35) corres. to a 35/11-gon.
SG(75, 7) corres. to a 7/2-gon.
SG(80, 21) corres. to a 21/5-gon.
SG(84, 5) corres. to a 5/1-gon.
These seven SGs are fancy.

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