Spontaneous locomotor behavior in a novel space reveals insights into an animal’s world view or Umwelt. For example, in many animal species, spontaneous behavior in a novel environment is parsed into activities at a home base and excursions from the home base. Domestic horses (Equus ferus caballas) are frequently ridden for recreation or in performance events in an equestrian arena but there has been no description of horse behavior in an arena when they are unconstrained and “exploring” or when moving freely under saddle. The present examination of exploration provides insights into horse adaptive behavior more generally as well as insights into horse performance under saddle. Thoroughbred, American Quarter Horse and mixed-breed mares and geldings of various ages, with various degrees of training under saddle, and with varying familiarity with the arena were given 30-min tests in which they were at liberty to explore an equestrian arena. Additional 30-min tests were given in which horses explored the arena containing a tethered partner, or were ridden. Despite breed, sex, age and experience, behavior was similar. A horse spent most of its time near the entrance door of the area where it looked out, paced, and rolled. Periodic excursions formed loops. The outward leg of a loop was slow, often featured sniffing the ground, and ended with a head-raised, ears-forward look toward the far end of the arena. The homeward leg of a loop was made with lowered-head and ears-back and was relatively direct and fast. Successive loops could increase or decrease in size over a test period. If a partner was tethered at the far end of the area, a horse shifted its activity toward the partner. When horses under saddle were asked to make excursions into the arena but otherwise left unconstrained, they made loops, similar to that of freely moving horses. When ridden around the arena they returned more quickly to the near end of the arena than when leaving the near end of the arena. This organized home base/excursion behavior is discussed in relation to horse social structure and to its expression while under saddle.