Close to over half of adult females and nearly half of adult men suffer from some sort of vein issues, including spider veins. Although most frequently found as clusters as tiny red or blue veins across areas of the legs, such as the ankles, thighs and behind the knees, tiny spider veins, called telangiectasia, can develop on the face, especially around the nose and cheeks. Telangiectasia will not go away on their own, and there is no way to prevent their development.