I have a solid bowl movement followed by diarrhea, then two days of constipation. This repeats rather regularly. Is this normal?

Not usually. You should seek the opinion of either a gastroenterologist or colorectal surgeon and get a full GI workup if indicated. This can be fun to experience and finding the cause is essential to feeling better and staying healthy.
Constipation/diarrhe. Your symptoms suggest there is some problem with your with your GI tract and you need to consult your doctor or a gastroenterologist.You may have irritable bowel syndrome, or inflammatory bowel disease, or some other condition.You need a colonoscopy after the examination to rule out these and other conditions.