A track bicycle or track bike is a bicycle optimized for racing at a velodrome or outdoor track. Unlike road bicycles, the track bike is a fixed-gear bicycle and so has a single gear and neither freewheel nor brakes. Tires are narrow and inflated to high pressure to reduce rolling resistance...
If I were to differentiate Classic from a Vintage, your Dad's bicycle is a Classic one; lugged frame, which at the present time very few are coming out in the market or shall I say none?
Lugged frame, nowadays, are being crafted by Masters that can command high price and will take several weeks...