"Avoiding right turns is not a bad idea as well,"
Many moons ago, in a time before kids when weekends were endless, we used to go for long rides only turning left with the aim of divining a route as we went so that when got home or to our destination we would draw the route on the map to see what kind of arcs we had travelled and if we had crossed our paths.
A long cherised route took us 52 miles but never leaving the city of Liverpool boundaries and only crossing paths once.
I've always a been a big fan of routes. Pre-bike I used to love to plan how we'd get to a destination in my dad's van or with my mum on the buses etc. But since my early teens and with the aid of a bike I especially love divergence that concludes in territorial definition. The moment when a whole network of roads and geographies are plug together into a GIS of the mind as a whole understood space is great experience for me. And with this exception, where I do differ from many routists is I'm not bothered about discoveries.