Hey Makaveli.
Can you show us the diagram to the right?
Three wooden equilateral triangles of side length 18 inches
are placed on axles as shown in the diagram to the right. Each axle
is 30 inches from the other two axles. A 144-inch leather band is
wrapped around the wooden triangles, and a dot at the top corner is
painted as shown. The three triangles are then rotated at the same
speed and the band rotates without slipping or stretching. Compute
the length of the path that the dot travels before it returns to its
initial position at the top corner