which places are connected by new york state route 64?
It  serves as a connector between the southeastern suburbs of the city of Rochester and the Canandaigua Lake area, home to Bristol Mountain Ski Resort.
New York State Route 64
NY 64 is a mostly two-lane highway that primarily serves as a connector between the southeastern suburbs of the city of Rochester and the Canandaigua Lake area, home to Bristol Mountain Ski Resort. 
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New York State Route 64 [SEP] Introduction
In the 1930 renumbering of state highways in New York, NY 15 was realigned to follow a new routing to the east while the Mendon–Pittsford segment of its former routing became the basis for NY 64, a new route that extended southward over the post-1921 routing of legislative Route 14 to South Bristol.