Missing miles

I took a bike ride this morning on a portion of the I&M Canal Trail from Romeoville to Joliet and back. It’s a fairly short ride, eight miles each way, and that distance got me thinking about using Mathematica to do some calculations after I got back home. The trail has mile markers with little snippets of information about the canal and the surrounding area. Here are the markers I passed this morning: The mileage figures on the markers increase as you go south and west, which is downstream. There are several more markers in Lockport, where they’re graduated in tenths of a mile, but these will do for our purposes. My ride started nearly a mile before Marker 27 and continued about a mile after Marker 31, which would lead you to believe I rode six miles, not eight. But the trip is definitely eight miles. I have my Fitness app set to record in kilometers, and it always tells me this trip is 13 kilometers one way. And as we know from the Fibonacci conversion, 13 km = 8 mi. As I passed…