Ides, I'm with Ricky! When you talk to your Dr. please let us know what they tell you?!
My guess is that it's the atherosclerosis or 'hardening' of the arteries that causes this and when the pain hits you, it's sort of like angina-that is, it's cutting off oxygen to that portion of your leg muscle where the blood supply is getting blocked. So when you rest, you're letting more blood get through to the muscle. If this would go on for a long period of time, then the muscle would wither. If you are able to exercise and get this helped, the muscle would survive much better. I know that there are drugs that help with this, along with any surgical interventions if larger arteries are involved, plus once again exercise.
Please let us know what you find out.
Best wishes to both of you and big hugs!! Teri
"Because he is he and I am I."......E. V. Lucas