Store Dyrehave ("Great Animal Park") is the old royal hunting forest on the southern outskirts of Hillerod, listed by UNESCO as part of the Par Force Hunting Landscape in North Zealand. Most of the forest is regrowth beech, oak and pine, but the network of straight rides cut through it — running for kilometres in dead-straight lines and converging on star-shaped clearings — dates from 1680 and is the reason for the UNESCO listing.
It is also a fine, lightly used local woodland for walking and cycling. Half a dozen marked routes start from car parks along Kobenhavnsvej; a flat 7-km loop will take you through some of the best surviving stretches in about two hours. Deer are common in early morning and late afternoon.