What would cause extensive purple lacy rash on arms/ legs when cold over past few months , goes away once warm? not raised or itchy?

There are several possible causes of a purple lacy rash on the arms and legs that appears when exposed to cold temperatures and disappears once warm. This condition is known as livedo reticularis, which is a skin condition characterized by a mottled or lace-like appearance of the skin. One possible cause of livedo reticularis is Raynaud's phenomenon, or an autoimmune disorder.