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Smiling face model mathematics
Perimeter of smiling face: 2*3. 14* 1=6.28.

The red line is the route of smiling face rolling.

How many weeks does A-B * * * take: 8.28-1-1= 6.28 6.28/6.28 =1week.

So the baby face at point B is

B-C * * * How many weeks does it take: 5.14-1= 3.14? 3. 14/6.28= 1/2 weeks

So the baby face at point C is

C-D * * * How many weeks: 8.28-1-1= 6.28 6.28/6.28 =1week.

So the baby face at D is

Rotation cycles of smiling face:1+1/2+1+1/2 = 3 weeks.