To determine the mechanics of arteries forming the carotid rete mirabile of goat and cattle, the wall tension-circumference length relationship was recorded isometrically in isolated retial arteries of 350-600 microns in external diameter under relaxed and potassium-activated conditions. The results are compared to those of pial arteries of similar size. In relaxed retial and cerebral vessels, tension-length relationship had nonlinear characteristics and the incremental elastic modulus rose as the circumference length increased, the modulus being lower in retial than in pial arteries. However, the stiffness of the artery considered as a whole (stiffness parameter beta) was similar in the two types of vessels. In activated arteries, force development was a function of length and the magnitude of the response increased until an optimal length was reached after which the response decreased with further stretch. In all stretches studied the developed force was much lower in retial arteries. The calculated active stress at the various lengths was also smaller in retial than in cerebral arteries and the maximum active stress for retial arteries was about 30-50% of that for cerebral arteries. Therefore, the passive mechanical properties of retial arteries closely resemble those of cerebral arteries but retial arteries have a small contractility. This suggests that the carotid rete mirabile of Artiodactyla has a minor role in actively controlling blood supply to the brain. Comments on the hemodynamic significance of the carotid rete are included.